Please helppp answer A through E. 100 pts plus first person to answer brainliest
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Refer to pic...........
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Transversals of Parallel lines: corresponding angles
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The required pair of corresponding angles in the given situation is (A) ∠HIK and ∠EFI.
What are corresponding angles?In geometry, corresponding sides and corresponding angles of polygons are compared as part of the tests for congruence and resemblance.
In these tests, the order of adjacency is maintained by pairing each side and each angle of one polygon with a side or angle of the other polygon.
Angles that are equal in size and are found on the same side as the transversal line are called corresponding angles.
Either both are acute or both are obtuse.
By creating an F shape, we can typically identify comparable angles.
So, now after reading the description we know exactly what are corresponding angles.
Now, we can easily tell that the pair of corresponding is:
∠HIK and ∠EFI
Therefore, the required pair of corresponding angles in the given situation is (A) ∠HIK and ∠EFI.
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Find the value of x in the following diagram.
Round your answer to the nearest hundredth.
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Answer:
Were sorry! Answer is not available right now check in later.
Step-by-step explanation:
2. Oil is leaking from an uncapped well and polluting a lake. Ten days after the leak is discovered, environmental engineers measure the amount of oil in the water to be 200 gallons with a current inflow rate of 30 gallons per day. The leak is slowing so that on the tenth day, the inflow rate is decreasing by 5 gallons/day each day. Suppose Q(t) is the amount of oil (in gallons) t days after the leak is discovered. (a) Find the second degree Taylor polynomial for Q(t) centered at t=10. (b) Use your answer in the previous part to estimate the amount of oil in the lake at t=12
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As a result, 210 gallons of oil are thought to have been present in the lake at time 12 (t=12).
what is polynomial ?A polynomial is a mathematical equation that only uses addition, subtraction, multiplication, and non-negative integer exponents and is made up of variables and coefficients. To put it another way, a polynomial is an algebraic expression made up of terms that are sums, products, and/or products of variables and coefficients. The leading coefficient is the coefficient of the term with the highest degree, while the degree of a polynomial is the maximum power of the variable in the expression.
given
(a) We need to determine Q(10), Q'(10), and Q" in order to determine the second degree Taylor polynomial for Q(t) with a center at t=10 (10).
As we are aware, Q(10) = 200. (given in the problem statement).
We must take the derivative of Q(t) with respect to t in order to determine Q'(10):
Q'(t) = -5t + 250
Q'(10) = -5(10) + 250 = 200
We must take the derivative of Q'(t) with respect to t in order to determine Q"(10):
Q''(t) = -5
Q''(10) = -5
The second degree Taylor polynomial can now be calculated using the following formula: P2(t) = Q(10) + Q'(10)(t-10) + (1/2)Q"(10)(t-10)2.
With the numbers we discovered, we can calculate P2(t) as 200 + 200(t-10) + (1/2)(-5)(t-10)2.
[tex]P2(t) = 200 + 200(t-10) - (5/2)(t-10)^2[/tex]
(b) We must assess the second degree Taylor polynomial at t=12 in order to determine how much oil is in the lake at that time.
P2(12) = 210 gallons because P2(12) = 200 + 200(12-10) - (5/2)(12-10)2. (rounded to the nearest gallon)
As a result, 210 gallons of oil are thought to have been present in the lake at time 12 (t=12).
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The organizer of a late night street fair in a popular tourist city wants to analyze the relationship between daily revenue and the following variables: the number of male visitors, the number of female visitors, the number of retail stands, the number of food (and beverage) stands, and the number of performances that take place on a given night. The regression output table is provided below. Based on these results and using a 10% significance level, the organizer thinks he can improve the model. He wants to try removing at least one variable from the analysis to create and compare new models. Which variable or variables would you recommend that he consider removing from the regression model? SELECT ALL THAT APPLY.
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The variables that the organizer can consider removing from the regression model are the Number of male visitors and Number of performance.
Based on the regression table provided, we can answer this question. The following is the regression table:Regression output table for night street fair variableNameCoefficientStandard Errort-StatP-ValueConstantb0.340.1402.430.023Number of male visitorsb10.6130.51320.750.462Number of female visitorsb10.9070.57918.830.000Number of retail standsb0.1160.0452.570.016Number of food (and beverage) standsb0.3160.0575.500.000Number of performanceb0.1460.1071.360.184The null hypothesis is rejected if p-value < 0.1; that is, there is a significant difference between the independent and dependent variables. The p-value of the Number of male visitors, the Number of female visitors, the Number of retail stands, the Number of food (and beverage) stands, and the Number of performances variables are 0.462, 0.000, 0.016, 0.000, and 0.184, respectively. As a result, the variables that are significant at the 10% level are the Number of female visitors, the Number of retail stands, and the Number of food (and beverage) stands. Therefore, the organizer should consider removing the Number of male visitors and Number of performance variables from the regression model. The variables that the organizer can consider removing from the regression model are the Number of male visitors and Number of performance.
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a study was conducted on students from a particular high school over the last 8 years. the following information was found regarding standardized tests used for college admitance. scores on the sat test are normally distributed with a mean of 990 and a standard deviation of 201. scores on the act test are normally distributed with a mean of 21.6 and a standard deviation of 4.1. it is assumed that the two tests measure the same aptitude, but use different scales.If a student gets an SAT score that is the 70-percentile, find the actual SAT score. SAT score = _____ Round answer to a whole number. What would be the equivalent ACT score for this student? ACT score = ____Round answer to 1 decimal place.If a student gets an SAT score of 1536, find the equivalent ACT score. ACT score = ____ Round answer to 1 decimal place.
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We are given that the SAT and ACT measure the same aptitude but use different scales. To find the equivalent ACT score for a given SAT score, we can use the conversion chart.
SAT 1100 = ACT 23
Therefore, the equivalent ACT score for a student with an SAT score of 1104 is 23.
3. If a student gets an SAT score of 1536, find the equivalent ACT score.
Solution:
To find the equivalent ACT score for a given SAT score, we can use the conversion chart.
SAT 1536 = ACT 35
Therefore, the equivalent ACT score for a student with an SAT score of 1536 is 35.
Therefore, the SAT score = 1536 and the ACT score = 35.
1. If a student gets an SAT score that is the 70th percentile, find the actual SAT score.
Solution:
We are given that SAT scores are normally distributed with a mean of 990 and a standard deviation of 201. We are asked to find the SAT score for the 70th percentile.
P( SAT score < X) = 0.70
We can use the standard normal table to find the corresponding z-score for the 70th percentile.
z = 0.52
We can use the z-score formula to find the SAT score:
z = (X - μ) / σ
0.52 = (X - 990) / 201
X = 1103.72
Therefore, the actual SAT score for the 70th percentile is 1104.
2. What would be the equivalent ACT score for this student?
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Joe is taking the train from his hometown to Georgetown and back to his hometown. The distance to Georgetown is 350 miles. How much time will Joe spend traveling on the train if the train travels at an average speed of 42 miles per hour?
A. 3 hours 50 minutes
B. 4 hours 20 minutes
C. 8 hours 20 minutes
D. 11 hours 40 minutes
E. 16 hours 40 minutes
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the total time Joe spends traveling on the train is 16 hours 40 minutes. Therefore, the correct answer is option E.
The time Joe spends traveling on the train can be found using the formula:
time = distance / speed
For the trip to Georgetown, the distance is 350 miles and the speed is 42 miles per hour, so the time spent traveling there is:
time to Georgetown = 350 / 42 = 8.33 hours
For the return trip, Joe travels the same distance of 350 miles at the same speed of 42 miles per hour. Therefore, the time spent traveling back is also 8.33 hours.
The total time Joe spends traveling on the train is the sum of the time for the trip to Georgetown and the time for the return trip:
total time = time to Georgetown + time from Georgetown
total time = 8.33 + 8.33
total time = 16.66 hours
Rounding to the nearest 10 minutes, the total time Joe spends traveling on the train is 16 hours 40 minutes. Therefore, the correct answer is option E.
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What is 6/11 as a decimal rounded to 3 decimal places?
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A student takes a multiple-choice test that has 10 questions. Each question has four choices. The student guesses randomly at each answer. Round the answers to three decimal places Part 1 of2 (a) Find P(5) P(5)- Part 2 of2 (b) Find P(More than 3) P(More than 3)
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(a) n = 10, p = 1/4, and x = 5. Using the formula of binomial probability function,P(5) = 10C5 * (1/4)^5 * (3/4)^5≈ 0.0267 (rounded to three decimal places)
(b) P(More than 3) = P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10)≈ 0.2784 (rounded to three decimal places)
Here n = 10, p = 1/4, and x = 5.Using the formula of binomial probability function,P(5) = 10C5 * (1/4)^5 * (3/4)^5≈ 0.0267 (rounded to three decimal places)
Find P(More than 3)For this, we need to calculate P(4), P(5), P(6),...,P(10) and add them.Using the formula of binomial probability function,P(4) = 10C4 * (1/4)^4 * (3/4)^6 = 0.2503 (rounded to three decimal places)P(5) = 10C5 * (1/4)^5 * (3/4)^5≈ 0.0267 (rounded to three decimal places)P(6) = 10C6 * (1/4)^6 * (3/4)^4≈ 0.0014 (rounded to three decimal places)P(7) = 10C7 * (1/4)^7 * (3/4)^3≈ 0.0001 (rounded to three decimal places)P(8) = 10C8 * (1/4)^8 * (3/4)^2≈ 0.0000 (rounded to three decimal places)P(9) = 10C9 * (1/4)^9 * (3/4)^1≈ 0.0000 (rounded to three decimal places)P(10) = 10C10 * (1/4)^10 * (3/4)^0≈ 0.0000 (rounded to three decimal places)P(More than 3) = P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10)≈ 0.2784 (rounded to three decimal places)
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Pls answer my question it will be amazing if you do just pls.
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The equation to show the relationship between x and y is y = 0.08x, where y is the amount of sales tax in dollars for the item and x is the cost of the item in dollars before tax.
What is tax?Tax is a compulsory financial charge or some other type of levy imposed upon a taxpayer by a governmental organization in order to fund various public expenditures. A failure to pay, along with evasion of or resistance to taxation, is punishable by law. Taxes consist of direct or indirect taxes and may be paid in money or as its labour equivalent. Most countries have a tax system in place to pay for public, common or agreed national needs and government functions. Some levy a flat percentage rate of taxation on personal annual income, but most scale taxes based on annual income amounts.
This equation reflects the fact that the amount of sales tax for an item is 8% of its cost before tax.
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Sales tax: The equation to show the relationship between x and y is x + y = C,
What is equation?An equation is a mathematical statement that expresses two mathematical expressions to be equal. It usually consists of two numbers, variables, or a combination of the two. An equation may be used to calculate a desired result, or to determine the relationship between two variables. Equations can also be used to test whether a statement is true or false. Most equations are written in the form of "a = b," where a and b are two numbers or variables.
where C is the cost of the item plus the sales tax. This equation can be explained mathematically as follows: the cost of the item (x) is added to the amount of sales tax (y) to give the total cost of the item with tax (C).
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A and B are independent.
If P(A) = 1/2 and P(An B) = 6/15
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Solve each of the following systems by the Method of Elimination. These two should be relatively easy. Make sure to understand why. (a) x-y 7 (b) 2x+5y = 3 x+ y=5 -2x-y= 5
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A) The solution of the system x-y = 7, x+y = 5 is (6, -1)
B) The solution of the system 2x+5y = 3, -2x-y= 5 is (-16/3, 13/3)
A) To solve by the elimination method , we add the left-hand sides and right-hand sides of the two equations separately, as follows,
(x - y) + (x + y) = 7 + 5
2x = 12
x = 6
(x + y) - (x - y) = 5 - 7
2y = -2
y = -1
Therefore, the solution to the system is (x, y) = (6, -1).
B) To solve by the method of elimination, we can multiply the first equation by 2 to eliminate the x term, as follows,
2x + 5y = 3
-4x - 2y = 10
Adding these two equations, we get,
3y = 13
y = 13/3
Substituting y = 13/3 into the first equation, we get,
2x + 5(13/3) = 3
2x = -32/3
x = -16/3
Therefore, the solution to the system is (x, y) = (-16/3, 13/3)
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The given question is incomplete, the complete question is:
Solve each of the following systems by the Method of Elimination A) x-y = 7, x+y = 5 B) 2x+5y = 3, -2x-y= 5
how long will a car take to travel 140km averaging a speed of 35km/h
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Answer:
Step-by-step explanation:
To calculate the time it will take a car to travel 140km at an average speed of 35km/h, we can use the formula:
time = distance ÷ speed
Plugging in the given values, we get:
time = 140km ÷ 35km/h
time = 4 hours
Therefore, it will take a car 4 hours to travel 140km at an average speed of 35km/h.
Answer:
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Car will take 4 hours
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Step-by-step explanation:
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[tex]\large{\blue{\star} \: {\underline{\boxed{\pmb{\tt{Time = \dfrac{Distance}{Speed}}}}}}}[/tex]
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[tex]\large{\leadsto{\sf{Given_{(Distance)} = 140 \: km}}}[/tex]
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[tex]\large{\leadsto{\sf{Given_{(Speed)} = 35 \: km/hr}}}[/tex]
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[tex]\large{\underline{\underline{\sf{Applying \: Formula:-}}}}[/tex]
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[tex]\large{\leadsto{\sf{Required_{(Time)} = \bigg(\dfrac{\cancel{140}}{\cancel{35}}\bigg)} \: hr}}[/tex]
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[tex]\large{\purple{\boxed{\leadsto{\sf{Required_{(Time)} = 4 \: hr}}}}}[/tex]
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━━━━━━━━━━━━━━━━━━━━━━
[tex]\star \: {\large{\underline{\underline{\pink{\mathfrak{More:-}}}}}} \: \star[/tex]
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[tex]\large{\dashrightarrow{\sf{Time = \dfrac{Distance}{Speed}}}}[/tex]
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[tex]\large{\dashrightarrow{\sf{Speed = \dfrac{Distance}{Time}}}}[/tex]
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[tex]\large{\dashrightarrow{\sf{Distance = Speed \times Time}}}[/tex]
An item is regularly priced at $19. Debra bought it at a discount of 60% off the regular price.
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Answer:
Step-by-step explanation:
Regular price:$19
60 per cent of $19 is 11.4 dollars.
but if ypu are looking for how much did she pay then it is..
19-11.4=$7.6
The tape diagram represents an equation.
Write an equation to represent the image.
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Answer: y+y=7
Step-by-step explanation:
7 is as big as 2 y's therefore y+y would be equal to 7
Which of the following statements is about CD and CE is true? A. CD is longer than CE B. CE is longer than CD C. CD and CE are the same length D. CE is 5 units long
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From the given graph, CE is longer than CD.
What is the distance between two coordinates?The length of the line segment bridging two locations in a plane is known as the distance between the points. d=√((x₂ - x₁)²+ (y₂ - y₁)²) is a common formula to calculate the distance between two points. This equation can be used to calculate the separation between any two locations on an x-y plane or coordinate plane.
Coordinates of E(8,6)
Coordinates of C(6,1)
Coordinates of D(3,-3)
x=8, y=6
x=6, y=1
x=3, y=-3
Distance CE=√{(8-6)² +(6-1)²} = √29
Distance CD=√{(6-3)² +(1+3)²}= √25=5
Therefore, CE is longer than CD.
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Determine the total amount of money that was utilized on fuel in June 2022
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Therefore, the total amount of money utilized on fuel in June 2022 is R11 095,60.
What is percent?Percent is a way of expressing a quantity as a fraction of 100. It is denoted by the symbol %, which means "per hundred". Percentages are often used to represent proportions or ratios in various fields, including finance, science, and statistics. For example, an interest rate of 5% means that for every hundred dollars borrowed or invested, five dollars of interest will be charged or earned.
Here,
(a) To calculate the total distance covered by the water tanker in March 2022, we need to find the distance travelled per day and multiply it by the number of days in March.
Distance travelled per day = 2 × 18 = 36 km (since it's a return trip)
Number of weekdays in March = 31 - 4 (Saturdays) = 27
Total distance covered = distance per day × number of weekdays
= 36 km/day × 27 days
= 972 km
(b) To determine the quantity of fuel utilized by the water tanker in March 2022, we need to divide the total distance covered by the average fuel consumption rate.
Fuel consumption rate = 5 km/ℓ
Total distance covered = 972 km
Fuel utilized = total distance covered / fuel consumption rate
= 972 km / 5 km/ℓ
= 194.4 ℓ
(c) To determine the total amount of money utilized on fuel for the water tanker in March 2022, we need to multiply the fuel quantity by the fuel price.
Fuel price in March 2022 = R16,28/ℓ
Fuel utilized = 194.4 ℓ
Total cost of fuel = fuel price × fuel quantity
= R16,28/ℓ × 194.4 ℓ
= R3 163,39
Therefore, the total amount of money utilized on fuel for the water tanker in March 2022 is R3 163,39.
(d) To determine the total amount of money utilized on fuel in June 2022, we need to repeat the above calculation using the June fuel price.
Fuel price in June 2022 = R24,14/ℓ
Fuel capacity = 460 ℓ
Total cost of fuel = fuel price × fuel capacity
= R24,14/ℓ × 460 ℓ
= R11 095,60
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Complete question:
Records of the number of water tankers that were supplied to the construction site appear in the calender on ANNEXURE A. The water source is at a distance of about 18 km (return trip) from the construction site. The water tanker has a fuel capacity of 460 litres.. The rate of fuel consumption of the Mercedes water tanker averages 5 km/ℓ. The prices of fuel per litre in March and June 2022 appear below. JUNE 2022 FUEL PRICES \begin{tabular}{|l|l|} \hline DIESEL & COST \\ \hline 50ppm & R24,14 \\ \hline \end{tabular} Source: 4.1 (a) Calculate the total distance that the water tanker has covered in March (2) 2022. (b) Hence, determine the quantity of fuel that was utilized by the water tanker in March 2022. (c) Determine the total amount of money that was utilized on fuel for the water tanker in March 2022. (2) 4.2 Determine the total amount of money that was utilized on fuel in June 2022.
A printer manufacturer obtained the following probabilities from database of test results. Printer failures are associated with three types of problems: hardware, software, and other (such as connectors) , with probabilities 0.1_ 0.6, 0.3_ respectively: The probability of printer failure given hardware problem is 0.9 given a software problem is 0.2, and given any other type of problem is 0.5. If customer enters the manufacturer' $ web site to diagnose printer failure, what is the most likely cause of the problem?
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The probability of a printer failure given hardware problems is 0.9, given software problems are 0.2, and given any other type of problem is 0.5. The customer should diagnose the printer failure by looking for a hardware issue.
The probability of printer failure is dependent on three problem types, hardware, software, and others (like connectors). The respective probabilities are 0.1_, 0.6, and 0.3_.
We have hardware problems, the probability of printer failure is 0.9, given software problems the probability is 0.2, and given any other problem type the probability is 0.5. By using Bayes' theorem, the most probable cause of the failure can be determined.
Let A represent the cause of the problem, and B is the evidence that the customer sees. Let's calculate the probability that A = hardware given B, which is P(A|B) = P(B|A)*P(A)/P(B).
Here, P(A) is the prior probability of the cause being hardware,
P(B|A) is the likelihood of observing the evidence given the cause being hardware, and P(B) is the probability of observing the evidence.
Given hardware problems, the probability of printer failure is 0.9, while the probability of observing this evidence given hardware problems is 0.9. Since there are three problem types, each of them having a prior probability of 1/3, we get P(A) = 1/3.
The probabilities of observing the evidence in the case of other types of problems and software problems are 0.5 and 0.2, respectively. Therefore, the most likely cause of printer failure is hardware problems.
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ramona owns a small coffee shop, where she works full-time. her total revenue last year was $200,000, and her rent was $5,000 per month. she pays her one employee $3,000 per month, and the cost of ingredients averages $1,000 per month. ramona could earn $55,000 per year as the manager of a competing coffee shop nearby. her economic profit last year was were....
a. $18,000
b. $37,000
c. $55,000
d. $66,000
e. $92,000
Answers
Ramona's economic profit last year was $92,000 - $55,000 = $37,000. Therefore, the correct option is b. $37,000.
Ramona owns a small coffee shop, where she works full-time. Her total revenue last year was $200,000, and her rent was $5,000 per month. She pays her one employee $3,000 per month, and the cost of ingredients averages $1,000 per month. Ramona could earn $55,000 per year as the manager of a competing coffee shop nearby. Her economic profit last year was $37,000.An economic profit can be calculated by subtracting total costs from total revenue. Given that Ramona's total revenue is $200,000, her total cost is $5,000 + $3,000 + $1,000 = $9,000 per month. Multiplying this by 12 gives us her total cost for the year: $9,000 x 12 = $108,000. Ramona's economic profit last year was therefore $200,000 - $108,000 = $92,000. However, this figure doesn't take into account the opportunity cost of Ramona earning $55,000 as the manager of a competing coffee shop nearby. This needs to be subtracted from Ramona's economic profit.
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in a heptagon, the degree measures of the interior angles are $x, ~x, ~x-2, ~x-2, ~x 2, ~x 2$ and $x 4$ degrees. what is the degree measure of the largest interior angle?
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The degree measure of the largest interior angle of the given heptagon is 132.57 degrees.
The largest interior angle of the given heptagon. The degree measures of the interior angles of a heptagon are 7, with 7 sides or vertices, are $x, ~x, ~x-2, ~x-2, ~x+2, ~x+2,$ and $x+4$ degrees.
The sum of the degree measures of the interior angles of a polygon with n sides is given by $S = (n-2) \c dot 180^\circ$. The sum of the interior angles of a heptagon is given by $S = (7-2) \cdot 180^\circ = 900^\circ$.
The sum of the degree measures of the interior angles of the heptagon is equal to $x+x+x-2+x-2+x+2+x+2+x+4 = 7x+4$. To find the value of x, we will set this equation equal to the total sum of the interior angles:$7x+4 = 900^\circ$. Solving for x, we get$x = 128.57$
We may now substitute the value of x to get the degree measures of each of the angles in the heptagon:$x = 128.57^\circ$$x = 128.57^\circ$$x - 2 = 126.57^\circ$$x - 2 = 126.57^\circ$$x + 2 = 130.57^\circ$$x + 2 = 130.57^\circ$$x + 4 = 132.57^\circ$
To find the degree measure of the largest interior angle, we must look for the angle with the largest value. We can see that the largest angle measures $132.57^\circ$.
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determine the dew point temperature, the humidity ratio, the specific volume and the enthalpy given a dry bulk temperature of 39oc and a wet bulb temperature of 18oc.
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The atmospheric pressure of 101.325 kPa, the dew point temperature is approximately 10.4°C, the humidity ratio is approximately 0.0084 kg of water vapor per kg of dry air, the specific volume is approximately 0.85 m³/kg of dry air, and the enthalpy is approximately 91 kJ/kg of dry air.
To determine the dew point temperature, the humidity ratio, the specific volume and the enthalpy given a dry bulk temperature of 39°C and a wet bulb temperature of 18°C, you can use a psychometric chart or a specialized software program that calculates these properties based on the given dry bulb and wet bulb temperatures, as well as other relevant parameters such as pressure, altitude, and air composition.
First, plot 39°C (the dry bulk temperature) and 18°C (the wet bulb temperature) on the chart. Then mark The atmospheric pressure of 101.325 kPa, the dew point temperature is approximately 10.4°C, the humidity ratio is approximately 0.0084 kg of water vapor per kg of dry air, the specific volume is approximately 0.85 m³/kg of dry air, and the enthalpy is approximately 91 kJ/kg of dry air.
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Solve for x,
using the tangent lines.
X
42°
x = [?]
can someone pls help explain how they got the answer? i’m having a hard time understanding, ty :)
Answers
Answer:
138°
Step-by-step explanation:
You want the measure of the angle at two tangents when they intercept an arc of 42°.
Supplementary anglesThe short answer is that the exterior angle x is the supplement of the measure of the arc:
x = 180° -42°
x = 138°
Exterior angleAn exterior angle where secants meet is half the difference of the arcs of the circle they intercept. Here, the secants have been located so the corresponding chord length between the near and far circle intercept points have degenerated to zero. That is, they are tangents.
The angle relation still holds:
x = (long arc - short arc)/2 = ((360° -42°) -42°)/2 = (360° -2·42°)/2
x = 180° -42° = 138°
QuadrilateralThe tangents, together with their associated radii form a quadrilateral. The angles at the tangents are 90°, and the total of all angles is 360°. This gives us the relation ...
x + 90° +42° +90° = 360°
x +42° = 180° . . . . . . . . . . . . . subtract 180°
x = 180° -42° = 138°
(We solved this with an extra step, so you could see the same "supplementary angles" relationship between x and 42°.)
For random variable X~N(3,0.75), what is the probability that X takes on a value within two standard deviations on either side of the mean?
Answers
Answer:For random variable X~N(3,0.75), what is the probability that X takes on a value within two standard deviations on either side of the mean?
Step-by-step explanation:
Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.
A figure consists of two curves labeled Upper A and Upper B. Curve Upper A is shorter and more spread out than curve Upper B, and curve Upper B is farther to the right than curve Upper A.
Select all that apply:
1. A has the larger mean.
2. B has the larger mean.
3. The means of A and B are equal.
4. A has the larger standard deviation.
5. B has the larger standard deviation.
6. The standard deviations of A and B are equal
Answers
The true statements regarding the plot of normal distributions A and B are B has the larger mean, and B has the larger standard deviation; options 2 and 3.
What is a plot of normal distribution?A plot of a normal distribution is a bell-shaped curve that represents the probability distribution of a continuous random variable that follows a normal distribution.
The plot shows the frequency of occurrence of values of the variable, with the most common values near the mean and the less common values near the tails of the distribution.
The normal distribution is characterized by two parameters: the mean (μ) and the standard deviation (σ). The mean determines the location of the center of the distribution, while the standard deviation determines the spread or width of the distribution.
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how many legs does it take to make 109657 spiders
Answers
Assuming each spider has 8 legs, it would take 877,256 legs to make 109,657 spiders
Angela compro un terreno rectangular que tiene un perimetro de
10x - 28a
Si el ancho del terreno es 2x - 4a
¿Cual es la expresión que muestra la medida del largo del terreno?
Answers
The expression that shows the measurement of the length of the land is L = 3x - 10a.
Let L be the length of the rectangular plot.
We know that the perimeter of a rectangle is given by the sum of the lengths of all its sides. In this case, the perimeter is 10x - 28a, so we can write:
Perimeter = 2L + 2W
10x - 28a = 2L + 2(2x - 4a)
10x - 28a = 2L + 4x - 8a
2L = 6x - 20a
L = 3x - 10a
In other words, the length of the land is equal to three times the width minus ten times the value of 'a'.
To explain this equation in a little more detail, we can say that the length of the rectangular plot is dependent on both the width of the land and the value of 'a'.
The expression tells us that as the value of 'a' increases, the length of the land decreases, and as the width of the land increases, the length of the land also increases. This equation is useful because it allows us to calculate the length of the land without having to measure it directly, as long as we know the value of 'a' and the width of the land.
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The distance from school to Regina's house is 4. 2 kilometers. After school, Regina stops at a grocery store on her way home. If the distance from the school to the grocery store is 1. 4 kilometers, how much farther in meters does Regina need to get home?
meters
Answers
Regina needs to travel an additional 5,600 meters to get home.
The total distance Regina travels from school to the grocery store and then to her house is
4.2 km + 1.4 km = 5.6 km
To find out how much farther Regina needs to get home, we need to subtract the distance from the grocery store to her house (which we don't know yet) from the total distance she travels.
Let's say the distance from the grocery store to Regina's house is x kilometers. Then we can set up an equation
5.6 km - x km = the distance Regina needs to get home
To solve for x, we can isolate it on one side of the equation by subtracting the distance Regina needs to get home from both sides
5.6 km - (the distance Regina needs to get home) = x km
We know that Regina needs to get home, so we can substitute that into the equation
5.6 km - 0 km = x km
Simplifying, we get
x = 5.6 km
Now we know that the distance from the grocery store to Regina's house is 5.6 km. We need to convert this to meters to find out how much farther Regina needs to get home
5.6 km = 5,600 meters
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Dorris deposits $200 into a savings account that has a simple interest rate of 4. 1% Max deposits 300 dollars into a savings account that has a simple interest rate of 1. 9%, who earn more interest in 15 months round to the nearest cent if necessary
Answers
Dorris earns $12.25 in interest over 15 months, while Max earns $2.84 in interest over the same period. So, Dorris earns more interest than Max.
To find out who earns more interest in 15 months, we can calculate the interest earned by each person using the formula:
Interest = Principal x Rate x Time
For Dorris, we have:
Interest = $200 x 0.041 x (15/12)
Interest = $12.25
For Max, we have:
Interest = $300 x 0.019 x (15/12)
Interest = $2.84
Interest refers to the cost of borrowing money, usually expressed as a percentage of the amount borrowed over a specific period of time. When someone borrows money, they are required to pay back not only the amount borrowed but also an additional amount, which is the interest. Interest is how lenders make money and is an important component of the financial system.
There are different types of interest rates, including fixed and variable rates. A fixed interest rate remains the same throughout the loan term, while a variable interest rate may change based on market conditions. Interest rates can also be compounded, which means that interest is added to the principal amount, and future interest payments are calculated based on the new higher amount.
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12. Melanie collects data about the number of text messages students send each day. Number of Text Message: 94 ,105, 87, 76, 110, 80, 87, 76,101, 113, 85 Select all the true statements
a.The data set is numerical data.
b.The data set is categorical data.
c. The data set has an outlier.
d.The data set does not have an outlier.
e.A circle graph is an appropriate data display for this data.
f.A box plot is an appropriate data display for this data.
Answers
Answer: a, f. In Melanie's data set, she is collecting numerical data, specifically the number of text messages sent each day.
What is a Numerical data?Numerical data is data that is represented by numbers. It is data that can be measured and compared. Examples include age, weight, height, and number of text messages.
In Melanie's data set, she is collecting numerical data, specifically the number of text messages sent each day. This data is numerical because it can be measured and compared. This data set does not have an outlier because all of the values are within a reasonable range and no single value is significantly higher or lower than the others.
A box plot is an appropriate data display for this data because it allows for an easy comparison of the data. The box plot will show the median, the range of values, and any outliers.
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[Scaling PDFs] Suppose that X and Y are the sampled values of two different audio signals. The mean and variance of an audio signal are uninteresting: the mean tells you the bias voltage of the microphone, and the variance tells you the signal loudness. For this reason, the audio signals X and Y are pre-normalized so that E[X] = E[Y] = 0 and Var(X) = Var(Y) = 1. An audio signal Z is said to be "spiky" if P{|Z| > 302} > 0.01, i.e., one-in-hundred samples has a large amplitude. (a) Suppose that X is a uniformly distributed random variable, scaled so that it has zero mean and unit variance. (1) What is P{|X|> ox}? (2) What is P{[X] > 30x}? (3) Is X spiky? Be sure to consider both positive and negative values of X. (b) Suppose that Y is a Laplacian random variable with a pdf given by: fy(u) 2 e 2 -Au-hel, - Oy}? (2) What is P{İY| > 30y}? (3) Is Y spiky? Be sure to consider both positive and negative values of Y.
Answers
0, which is less than 0.01.
Suppose that X is a uniformly distributed random variable, scaled so that it has zero mean and unit variance. (1) What is P{|X|> ox}? (2) What is P{[X] > 30x}? (3) Is X spiky? Be sure to consider both positive and negative values of X.
For a uniformly distributed random variable with mean 0 and variance 1, P{|X|> ox} is equal to 0.5. (2) For a uniformly distributed random variable with mean 0 and variance 1, P{[X] > 30x} is equal to 0. (3) X is not spiky since P{|X| > 30x}
0.000045, which is greater than 0.01.
Suppose that Y is a Laplacian random variable with a pdf given by: fy(u) 2 e 2 -Au-hel, - Oy}? (2) What is P{İY| > 30y}? (3) Is Y spiky? Be sure to consider both positive and negative values of Y.
Answer: (1) For a Laplacian random variable with mean 0 and variance 1, P{|Y|> oy} is equal to 0.5. (2) For a Laplacian random variable with mean 0 and variance 1, P{[Y] > 30y} is equal to 0.000045. (3) Y is spiky since P{|Y| > 30y}
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Function P represents the perimeter, in inches, of a square with the side length x inches.P = x + x + x + x ... but it would be more efficient to write it this way: P =4xComplete the table.x 0 1 2 3 4 5 6P(x) 0
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Function P represents the perimeter, in inches, of a square with the side length x inches. So, the perimeter of a square can be represented as P = x + x + x + x, which simplifies to P = 4x. This way is more efficient to write than the former.
Complete the table provided: x 0 1 2 3 4 5 6 P(x) 0 4 8 12 16 20 24. When x = 0, the perimeter of the square is 0.When x = 1, the perimeter of the square is P = 4(1) = 4. When x = 2, the perimeter of the square is P = 4(2) = 8. When x = 3, the perimeter of the square is P = 4(3) = 12. When x = 4, the perimeter of the square is P = 4(4) = 16. When x = 5, the perimeter of the square is P = 4(5) = 20. When x = 6, the perimeter of the square is P = 4(6) = 24.
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