HELP PLEASE all I need is the answer of b and c. The whole of the table is correct
Answers
b. You have a table that says 1-6 x 1-6 multiply 6x6 to get 36, that is your total number of squares. This number will also be our denominator.
Now you need to count the number of 1s (just the blue ones). You have 10 number 1s. This will be our numerator.
Let’s combine our two numbers into a fraction. Our numerator of 10 and denominator of 36 = 10/36
We need to simplify this number since it is not in its smallest possible form. A number that will factor into both 10 and 36 is 2.
After dividing both the top and bottom by 2 we get a simplified fraction of 5/18. This is our answer.
Part C.
First thing to know is that we already have the denominator of these fractions, it’s 36 all of the fractions we find will use the denominator 36.
Let’s start with 2, we have 8/36 which simplifies to 2/9
Next, 3: we have 6/36 which simplifies to 1/6
Next 4: we have 4/36 which simplifies to 1/9
Next 5: we have 2/36 which simplifies to 1/18
So it looks like the number 5 is the one that will simplify to become our answer!
Related Questions
Leon Starr purchased 55 shares of stock at
$41.09 per share. His online stockbroker charged him
a $15.99 commission. What is the total amount that he
paid for the stock?
Total amount paid for the stock:
Answers
Answer: $2,275.94
Step-by-step explanation: First, we need to find how much he pays for the stocks alone. So, we would use this equation:
41.09(55)
41.09 x 55
That would get us to $2,259.95. Now, we have to add the $15.99, bc he had to pay a fee. So $2,259.95 + 15.99 = $2,275.94. I hope this helped!
In a hardware store you must first go to server 1 to get your goods and then go to a server 2 to pay for them. Suppose that the times for the two activities are exponentially distributed with means six and three minutes. Compute the average amount of time it takes Bob to get his goods and pay if when he comes in there is one customer named Al with server 1 and no one at server 2.
Answers
The average amount of time it takes Bob to get his goods and pay if when he comes in there is one customer named Al with server 1 and no one at server 2 will be 16 minutes.
Let us assume that, T = the total amount of time Bob spends in the hardware store.
Let us assume that, T1 = the amount of time Bob spends waiting in line for Al to get his goods from server 1
Let us assume that, T2 = the amount of time it takes for Bob to get his goods from server 1
Let us assume that, T3 = the amount of time Bob spends waiting in line for Al to pay server 2 for his goods
Let us assume that, T4 = the amount of time it takes for Bob to pay server 2 for his goods
So, the value of total time T will be
T = T1 + T2 + T3 + T4 and E[T] = E[T1] + E[T2] + E[T3] + E[T4]
Now, E[T1] = 6 min. because of the memoryless property of the exponential distribution
E[T2] = 6 min.
To find E[T3], the condition on the availability of server 2 after Bob is done with server 1
So, the value of E[T3] will be
E[T3] = E[T3 | Server 2 is free] P(Server 2 is free) + E[T3 | Server 2 is not free] P(Server 2 is not free)
= 0 + 3 . P(Bob is done with server 1 before AI is done with server 2)
[tex]$$=3 \cdot \frac{1 / 6}{1 / 6+1 / 3}$$[/tex]= 3(1/3) = 1 min. and E[T4] = 3 min.
So, E[T] = E[T1] + E[T2] + E[T3] + E[T4]
or, E[T] = 6+6+1+3= 16 minutes
For more question on exponential distribution
https://brainly.com/question/13339415
#SPJ4
From a hot-air balloon, Violet measures a 24° angle of depression to a landmark
that's 806 feet away, measuring horizontally. What's the balloon's vertical distance
above the ground? Round your answer to the nearest tenth of a foot if necessary.
Answers
The balloon's vertical distance above the ground is 358.9 feet.
An angle is said to be that of depression when it is measured downwards with respect to the horizontal plane.
So that applying the appropriate trigonometric function to solve the question, we have;
Tan θ = Opposite side/ Adjacent side
But,
θ = 90 - 24
= 66
θ = [tex]66^{o}[/tex]
Let the vertical distance of the balloon be represented by x.
Tan 66 = 806/ x
x = 806/ Tan 66
= 806/ 2.246
= 358.86
x = 358.9 feet
The balloon's vertical distance above the ground is 358.9 feet.
Learn more about angle of depression at https://brainly.com/question/17193804
#SPJ1
he button provides an automatic means of checking for mathematical errors within formulas of a worksheet.
Answers
The Error checking button provides an automatic means of checking for mathematical errors within formulas of a worksheet.
The modeling process begins with the framing of a conceptual model that shows the relationships between the various parts of the problem being modeled.
Arrows pointing from the selected cell to cells that depend on the selected cell are generated by using the Trace dependents button of the Formula Auditing group.
nodes in an influence diagram represent part of the model
The Trace Precedents button, located in the Formula Auditing group, creates arrows pointing to the selected cell from cells that are part of the formula in that cell
The Error checking button provides an automatic means of checking for mathematical errors within formulas of a worksheet.
To know more about error checking button brainly.com/question/1278871
#SPJ4
Suppose that the daily number of miles driven per school bus driver in the United States is normally distributed with a mean of 300 mi and standard deviation equal to 26 mi. A local school bus budget committee believes the daily number of miles driven per bus driver in their community is different from 300 mi, but they are not sure if it is greater than or less than the national average.
To test their hypothesis, the committee chooses a random sample of 40 school bus drivers and records how many miles each of them drives per day during a typical week. On average, the bus drivers from the sample drive 309 mi per day. To test the hypothesis that the average number of miles driven by local bus drivers is different from the national average, the budget committee calculates the z-statistic to be 2.19 standard deviations above the population mean.
Use the standard normal z-distribution table to calculate the P-value that represents the probability of mistakenly rejecting the claim that the daily number of miles driven by local bus drivers is not statistically different from the national average. Give your answer as a decimal rounded to four places.
P-value:
Answers
The p-value for the z-distribution table is 0.4854.
What is z-distribution?
A unique type of normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution, or z-distribution. By transforming the values of any normal distribution into z scores, it is possible to standardise it. Z scores provide the number of standard deviations from the mean that each value falls within.
Given that the z statistic to be 2.19 standard deviation above the population mean.
2.19 can be written as 2.1 + 0.09
Z₂.₁₉ = Z₂.₁₊₀.₀₉ = 0.4854
Therefore p-value is 0.4854.
To learn more about p-value, click on below link:
https://brainly.com/question/14790912
#SPJ1
Are the two expressions equivalent when x=3 ? 8x + 40 , 5 (2x + 8)
Answers
The two expressions are not equivalent when x = 3
What is expression ?
A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math.
A mathematical expression is as straightforward as 12 + 2. We might alter the (+) to create many mathematical equations, like 12 - 2, 12*2, and 12/2. Operations include multiplication, division, addition, and subtraction. A mathematical expression can make use of a great number of additional procedures.
when x = 3
8x + 40
8 * 3 + 40
= 24 + 40
= 64
when x = 3
5 (2x + 8)
10x + 40
10 * 3 + 40
= 30 + 40
= 70
To learn more about expression from the given link
https://brainly.com/question/24756209
#SPJ1
In a storage locker, there are 15 large boxes and 26 small boxes. The large boxes each weigh 24 pounds. The small boxes each weigh 16 pounds. How much do all of the boxes weigh altogether?
Answers
Answer:
864
Step-by-step explanation:
each year, 40% of a salmon population is extracted from a farming pond. at the beginning of the next year, the pond is stocked with an additional fixed amount of n caught wild salmon. let pn denote the amount of fish at the beginning of the n-th year assume that the initial salmon population on the pond is p0=5000
a. Write a recursion to describe Pn. b. Determine the value of N so the amount of fish remains constant at the beginning of each year.
Answers
(a) [tex]p_{n} =p_{n-1}-0.4p_{0} +n[/tex]
(b) [tex]n = {\frac{p_{n-1} -p_{n} }{0.4p_{0}} }[/tex]
Given,
Initial salmon population [tex]p_{0}=5000[/tex]
Extraction rate = 40% per year
(a) Formula for recursion,
For the first year,
[tex]p_{1} =p_{0} -0.4p_{0}+n[/tex]
For the second year,
[tex]p_{2} =p_{1} -0.4p_{0} +n[/tex]
For the n'th year,
[tex]p_{n} =p_{n-1}-0.4p_{0} +n[/tex]
(b) The value of n,
From the above equation,
[tex]p_{n} =p_{n-1}-0.4p_{0} +n[/tex]
[tex]n = {\frac{p_{n-1} -p_{n} }{0.4p_{0}} }[/tex]
Learn more about Recursion here
https://brainly.in/question/634885
#SPJ4
Each year, 40% of the salmon population is extracted from a farming pond.
a. The recursion to describe Pn is Pn = 0.6 Pn-1 + N.
b. The value of N is 3000.
What is recursion?According to the recursion equation, the quantity of fish at the start of the nth year. Pn, is equal to 0.6 times the quantity at the start of the year before, Pn-1, plus the constant quantity of wild salmon that is restocked every year, N.
b. We can set the recursion equation equal to the initial population of 5000 fish in order to get the value of N that ensures the quantity of fish stays constant at the start of each year. Now we have the equation.
0.6Pn-1 + N = 5000. Solving for N gives us N = 3000.
Therefore, a. Pn = 0.6 Pn-1 + N. b. 3000.
To learn more about recursion, refer to the link:
https://brainly.com/question/16385026
#SPJ1
What is the area of this triangle?
Enter your answer in the box.
units?
Answers
Answer:
Below
Step-by-step explanation:
If you turn it sideways and use the y-axis portion as the base (4) , you can see height = 5
Area = 1/2 * b * h = 1/2 * 4 *5 = 10 units^2
The sampling distribution of the sample mean is formed from random samples of size 16 taken from a population with mean μ = 64 and standard deviation σ = 10. What are the mean and standard deviation of the sampling distribution of ?
mean = 64, standard deviation = 0.625
mean = 8, standard deviation = 2.5
mean = 64, standard deviation = 2.5
Answers
The mean and standard deviation of the sampling distribution include the following: C. mean = 64, standard deviation = 2.5.
What is the Central Limit Theorem?In Mathematics and statistics, the Central Limit Theorem states that the sampling distribution of means would always be normally distributed, as long as the sample size is large enough.
This ultimately implies that, the sampling distribution of means would always be normally distributed as the sample size gets larger in accordance with the Central Limit Theorem.
Mathematically, the standard deviation of a sampling distribution can be calculated by using this mathematical expression:
Standard deviation, σy = σ/√n
Where:
σ represents the standard deviation.n represents the sample size or number of items.Substituting the given parameters into the formula, we have;
Standard deviation, σy = 10/√16
Standard deviation, σy = 10/4
Standard deviation, σy = 2.5.
In conclusion, the mean of an original population is expected to be equal to the mean of the sampling distribution of means i.e 64.
Read more on Central Limit Theorem here: brainly.com/question/13652429
#SPJ1
I could really use some help I got 10 mins left on quiz please help
Answers
The value of x in the problem is 0
Given that PQR is a straight line
In this problem PQ+QR=PR
The value of PQ is 9
The value of QR is not given but given an equation 2x+3
And QR is x+12
So PQ+QR=PR
9+2x+3=x+12
12+2x=x+12
2x-x=12-12
x=0
Therefore, the value of x in the problem is 0
Learn more about equation at
https://brainly.com/question/2965798
Use the data{1,1,1,3,3,5,7,7,9,11,13,14} to create a histogram with 5 bins.
Answers
The information needs to be divided into class intervals in order to make a histogram. Following that, make a tally to display the frequency (or relative frequency) of the data within each interval.
How do you make a histogram with data?A frequency histogram or a relative frequency histogram can be used to depict data if there are several data points and we want to examine how they are distributed.A histogram resembles a bar chart in appearance, but it displays numerical data. The data must be divided into class intervals in order to make a histogram. Then make a tally to display the frequency (or relative frequency) of the data within each interval. The frequency in a given class divided by the overall number of observations is the relative frequency. The bars are the same width as the class interval and the same height as the frequency (or relative frequency).Histogram Illustration
Jessica has been self-weighing every Saturday for the past 30 weeks. She was weighed in pounds, as shown in the table below.135 137 136 137 138 139
140 139 137 140 142 146
148 145 139 140 142 143
144 143 141 139 137 138
139 136 133 134 132 132
Her weight should be a histogram.
Answer
Usually, we want histograms to have intervals between 5 and 20. With a class of width 2, which will offer us 9 intervals given that the data ranges from 132 to 148, it is practical to have.131.5-133.5
133.5-135.5
135.5-137.5
137.5-139.5
139.5-141.5
141.5-143.5
143.5-145.5
145.5-147.5
147.5-149.5
To eliminate any doubt about whether the end point belongs to the interval to its left or to its right, we chose the end points to be.5, which is why. The endpoint convention specification is a substitute. The left end point, for instance, is included by Minitab but the right end point is not.To Learn more About histogram refer to:
https://brainly.com/question/25983327
#SPJ1
If f(x) = 8 - 3|x + 21, find f(-6)
Answers
Answer:
18.33
Step-by-step explanation:
f=-6
-6(x)=8-3(x-21)
-6x=8-3x-63
-6x+3x=8-63
-3x=-55
-3x/-3=-55/-3
x=18.33
hope it helps
evaluate the six trigonometric functions at 11pi/3. (give an exact answer, not a decimal approximation.)
Answers
The six trigonometric functions at 11π/3 are as follows-
sin (11π/3) = -[tex]\sqrt{3}[/tex]/2
cos (11π/3) = 1/2
tan (11π/3) = -[tex]\sqrt{3}[/tex]
cot (11π/3) = -1/[tex]\sqrt{3}[/tex]
sec (11π/3) = 2
cosec (11π/3) = -2/ [tex]\sqrt{3}[/tex]
Let us evaluate the six trigonometric functions at 11π/3 as follows -
11π/3 can be written as (6π+5π)/3 = 2π + 5π/3.
a. sin (11π/3) = sin (2π + 5π/3)
this angle is greater than or equal to 0 and less than 2π.
= sin (5π/3)
Finding the angle with equivalent trigonometric values in the first quadrant. Also, sin is negative in the 4th quadrant.
= -sin (π/3)
= -[tex]\sqrt{3}[/tex]/2
Hence, sin (11π/3) = -[tex]\sqrt{3}[/tex]/2
b. cos (11π/3) = cos (2π + 5π/3)
this angle is greater than or equal to 0 and less than 2π.
= cos (5π/3)
Finding the angle with equivalent trigonometric values in the first quadrant. Also, cos is positive in the 4th quadrant.
= cos (π/3)
= 1/2
Hence, cos (11π/3) = 1/2
c. tan (11π/3) = tan (2π + 5π/3)
this angle is greater than or equal to 0 and less than 2π.
= tan (5π/3)
Finding the angle with equivalent trigonometric values in the first quadrant. Also, tan is negative in the 4th quadrant.
= -tan (π/3)
= -[tex]\sqrt{3}[/tex]
Hence, tan (11π/3) = -[tex]\sqrt{3}[/tex]
d. cot (11π/3) = 1/ tan (11π/3)
Hence, cot (11π/3) = - 1/ [tex]\sqrt{3}[/tex]
e. sec (11π/3) = 1/ cos (11π/3)
Hence, sec (11π/3) = 2
f. cosec (11π/3) = 1/ sin (11π/3)
Hence, cosec (11π/3) = -2/ [tex]\sqrt{3}[/tex]
Read more about trigonometric functions:
brainly.com/question/24349828
#SPJ4
Helppp pleaseee it’s due today pleasee
Answers
Answer:
4
6
y=4x+6
Step-by-step explanation:
check the attached file
Can someone please explain step by step on how I stole this problem?
-1 - ( -0.25 )
Answers
The final answer of the problem is -0.75.
What is the order of operations?
The order of operations is also known as the hierarchy of operations. The order of operations tells us the order in which we should perform mathematical operations in order to get the correct result. The order of operations is usually represented by the acronym PEMDAS:
P: Parentheses first
E: Exponents (ie Powers and Square Roots, etc.)
MD: Multiplication and Division (left-to-right)
AS: Addition and Subtraction (left-to-right)
We have,
-1 - (-0.25)
Using the order of operations, we can solve this problem as follows:
Parentheses: The first step is to perform any calculations inside parentheses. In this case, there are no parentheses, so we can move on to the next step.
Exponents: There are no exponents in this problem, so we can move on to the next step.
Multiplication and Division: There is no multiplication or division in this problem, so we can move on to the next step.
Addition and Subtraction: Finally, we can perform addition and subtraction in the problem. We start from left to right, so we start with the first operation: -1 - (-0.25). To subtract a negative number, we can use the rule that subtracting a negative number is the same as adding a positive number.
Therefore, we have -1 + 0.25.
The final step is to simplify the expression by performing the addition: -1 + 0.25 = -0.75.
Therefore, the final result of the problem is -0.75.
To learn more about the order of the operations visit,
https://brainly.com/question/550188
#SPJ1
60 POINTS!!! As a special promotion for its 12-ounce cans of cold coffee, a coffee drink company printed a message on the bottom of each can. Some of the bottoms read, "Better luck next time!" whereas others read, "You won!" The company advertised the promotion with the slogan "One in five wins a prize!" Suppose the company is telling the truth and that every 12-ounce can of coffee has a one-in-five chance of being a winner. Six friends each buy one 12-ounce can of coffee at a local convenience store. Let X equal the number of friends who win a prize.
Part A: Explain why X is a binomial random variable.
Part B: Find the mean and standard deviation of X. Interpret each value in context.
Part C: The store clerk is surprised when two of the friends win a prize. Is this group of friends just lucky, or is the company's one-in-five claim inaccurate? Compute P(X ≥ 2) and use the result to justify your answer.
Answers
A) Yes, X is a binomial random variable because all of the requirements for a binomial distribution have been established
B) The mean and standard deviation are respectively; 1.2 and 0.6
C) The probability given as P(X ≥ 2) is 0.34464
How to solve binomial probability distribution?The binomial probability is defined as the probability of exactly x successes on n repeated trials, with p probability.
The general formula of binomial probability distribution is;
P(X = x) = nCr * p^(x) * (1 - p)^(n - x)
where;
p = probability of "success"
n = number of trials, or the sample size
x = the number of "successes" in the probability we are trying to calculate.
A) We are told that 6 friends each buy one 12-ounce bottle of the soda at a local convenience store. Let X = the number who win a prize.
Probability of success; p = 1/5
Number of events; n = 6 which is the random variable being binomial random variable:
There are two types of accomplishments: successes and failures.
Candies are unrelated to one another.
There is a set number of buddies available.
In addition, the chance of success is fixed.
Because all of the requirements for a binomial distribution have been established, then it is a binomial probability distribution.
B) The formula for the mean here is;
μ = np
Plugging in the relevant values gives;
μ = 6(1/5) = 1.2
Formula for the standard deviation is;
σ = √(np(1 - p))
Thus;
σ = √(6 * 1/5)(1 - (1/5)))
σ = 0.6
C) The probability P(X ≥ 2) calculated with online binomial probability calculator gives;
P(X ≥ 2) = 0.34464
Read more about Binomial Probability Distribution at; https://brainly.com/question/9325204
#SPJ1
If a loading ramp is placed next to a truck, at a height of 8 feet, and the inclined portion of the ramp is 23 feet long, what angle (in degrees) does the ramp make with the ground?
Answers
Answer:
≈20.35°
Step-by-step explanation:
height = 8
hypotenuse =23
angle is x
sin(x) =8/23
[tex]sin^{-1} (\frac{8}{23} )[/tex] ≈20.35°
x is about ≈20.35°
The ramp makes an angle of approximately 20.86 degrees with the ground.
Given that there is a truck with a ramp at a height of 8 feet the size of the ramp is 23 feet,
we need to find the angle ramp make with the ground.
To find the angle that the ramp makes with the ground, we can use the sine function.
The sine of an angle is equal to the opposite side divided by the hypotenuse in a right triangle.
In this case, the opposite side is the height of the ramp (8 feet), and the hypotenuse is the length of the inclined portion of the ramp (23 feet).
Let's calculate the angle:
sin(angle) = opposite/hypotenuse
sin(angle) = 8/23
To find the angle, we need to take the inverse sine (or arcsine) of both sides of the equation:
angle = arcsin(8/23)
We can find the approximate value of the angle:
angle ≈ 20.86 degrees
Therefore, the ramp makes an angle of approximately 20.86 degrees with the ground.
Learn more about sine function click;
https://brainly.com/question/23556818
#SPJ2
NO LINKS!! Please help me with this problem. Part 1gg
Answers
Answer:
Graph A
Step-by-step explanation:
Given piecewise function:
[tex]f(x)=\begin{cases}9+x, \;\;\:\:x\leq3\\x^2+3,\;\;x > 3\end{cases}[/tex]
To graph the given piecewise function:
Draw the line y = 9 + x for the domain (-∞, 3].Draw the curve y = x² + 3 for the domain (3, ∞).The line y = 9 + x is a straight line with a positive gradient.
It crosses the x-axis at (-9, 0) and crosses the y-axis at (0, 9).
Therefore, the only graph that shows the line y = 9 + x is the first graph.
3. Which of the following is the solution to lx + 12| = 3x.
A. x = 3
C. x = 6
b. x = -6
d. x = - 3
Answers
You first subtract 1x from both sides and you are left with 12 = 2x. Then, you divide 2 in both sides and get 6.
Hope this helped!
Solve the system if we x-3y=0 and 3x-6y=9 by combining the equations.
Answers
Step-by-step explanation:
Hope u get it x=3×3
x=9
It didn't include in the photo
What is the rate of change of the linear function whose graph includes the points (5, 2) and (10, 0)?
Answers
Use mx formula next time
Does the point (4, 7) satisfy the equation y = x + 3?
Answers
y = x + 3
7 = 4 + 3
7 = 7
Awnser if this is a function or not yes or no please.
Answers
Answer: NO
Step-by-step explanation:
This is not a function, since there are multiple outputs for ONE input.
Answer:
no
Step-by-step explanation:
to be a function, the x's can only have one partner. Here, 7 has two partners (7 goes to 20 and also to 18) and the 11 has two partners also. This relation is not a function.
What is the possible value of a positive, even integer that's shaped like a 4?
Answers
Answer: It's not possible for a positive, even integer to have a specific shape, such as the shape of a 4. This is because integers are abstract mathematical concepts that represent whole numbers and do not have any physical properties, such as shape. Additionally, even integers are simply integers that are divisible by 2, and do not have any specific shape associated with them.
If you're asking about a specific number that has the shape of a 4, such as the number "4" written in a specific way, it's important to note that the value of a number does not depend on its physical appearance. For example, the number 4 written as "4" and the number 4 written as "IV" (the Roman numeral for 4) are both the same number, and have the same value.
Evaluate the expression for the given value of the variable 4c - 3. C= -2
Answers
Answer:
-11
Step-by-step explanation:
4c - 3 Substitute -2 for c
4(-2) - 3
-8 - 3
-11
Answer:
-11
Step-by-step explanation:
We are given the value of c, so we just need to plug it in. We can do this by replacing "c" with "-2" in our given expression.
4c - 3 ⇒ 4(-2) - 3
Now, we can simplify this.
-8 - 3 = -11
Learn more about evaluating expressions by reviewing these answers!
⊕ https://brainly.com/question/13322249
⊕ https://brainly.com/question/16980257
A bi-weekly visit to your favorite restaurant. Say on average you spend $25 each visit.
Answers
This same technique works if your gerbil is just nibbling on you.
A bi-weekly visit to your favorite restaurant. Say on average you spend $25 each visit.
You will spend an average of $50 a week at this restaurant.
Period:
9) Maria walked 20 miles yesterday. Today she walked 30 miles. What was the percent of increase Maria walked?
10) Pedro goes to 70 % of the basketball teams games. If the basketball team plays 20 games, how many did he go to?
11) Your bill at a restaurant comes to $ 24.00. You want to leave a 15% tip. What is your final bill?
12) Monica wants to buy a bag of Taxis for $13.50. If the store is having a discount of 20% off, how much is she spending?
13) How much interest is earned on $ 100 at 70 % for 9 years?
14) How much interest is earned on a $42 investment at 5 % for three years?
Answers
The percent of increase Maria walked if found as the 50%.
Explain the term percent increase?The amount that a percentage has increased over time is expressed as a percent increase.One would need to figure out the difference between the initial value and the final value, subtract to determine the precise sum of the drop, in order to arrive at this amount.The formula for the percentage increase is given as;
Percent increase = Increase / original number x 100
original number = 20 miles
Increase = 30 miles - 20 miles
Increase = 10 miles
So,
Percent increase = 10 / 20 x 100
Percent increase = 50%
Thus, the percent of increase Maria walked if found as the 50%.
To know more about the percent increase, here
https://brainly.com/question/11360390
#SPJ1
The correct question is-
9) Maria walked 20 miles yesterday. Today she walked 30 miles. What was the percent of increase Maria walked?
Data is collected from the US Geologic Survey about the flow rate of the Poudre river. After some study, and unit conversions, a scientist makes a first model of the historical flow rate data as F(t) = 1.5 + 1.2 cos(2 t) in billions of cubic feet per year, while t is measured in fractions of a year since May 1, 2000. Use the Fundamental Theorem of Calculus to find the net amount of water from t = 0) to t = using this flow rate F"(t).First, F(t) = +C The model predicts the net amount of water discharged from the Poudre is F112 -Filo 0.75 What does the model predict the net discharge will be from t = 0 to t = 12 Net discharge = 1.5 Billions of ft 3
Answers
The model predicts that the net discharge will be -0.8 + 1.2 cos(24) billions of cubic feet from t = 0 to t = 12.
The net amount of water discharged from the Poudre river from t = 0 to t = 12 can be found using the Fundamental Theorem of Calculus, which states that the net change in a function over an interval is equal to the function evaluated at the endpoints of the interval minus the function evaluated at the beginning of the interval.
In this case, the net discharge from t = 0 to t = 12 can be calculated as follows:
Net discharge = F(12) - F(0)
= (1.5 + 1.2 cos(212)) - (1.5 + 1.2 cos(20))
= 1.5 + 1.2 cos(24) - 1.5 - 1.2
= -0.8 + 1.2 cos(24)
Learn more about the theorem of calculus at
https://brainly.com/question/29107706?referrer=searchResults
#SPJ4
the function witht he greater rate of change is blank. its rate of change is blank. the function with the smaller y-intercept is function blank. its y-intercept is at y value of blank.
Answers
Function 2 is the one with the fastest rate of change. It changes at a rate of six. Function 1 is the function with the smaller y-intercept. At a y value of 4, its y-intercept is located.
What is the difference between the rate of change and the y-intercept of a linear function?This is a question about linear functions. The function with the greater rate of change is the steeper line. Its rate of change (slope) is the same as the ratio of the rise over run.The function with the smaller y-intercept is the line with the smaller y-value when x=0. Its y-intercept is at the y value of the point where the line crosses the y-axis.This theory is the Slope-Intercept Form of a Linear Equation.Function 2 is the one with the fastest rate of change. It changes at a rate of six. Function 1 is the function with the smaller y-intercept.At a y value of 4, its y-intercept is located.To learn more about Slope-Intercept Form of a Linear Equation refer to:
https://brainly.com/question/25826868
#SPJ1
