A slope that exhibits an inverse connection between two variables is referred to as having a negative slope.
What is slope?According to linguists, the Middle English adverb aslope, which meaning "at an angle," is where the term slope is said to have originated. A steep hill or the ramp in a parking garage are examples of things that are at an angle or on a slope and may be described using the word's noun form.
The ratio of the vertical change between two places is referred to as the slope. A line's slope is another indicator of how steep it is. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).
Here, it is given that, a linear function has slope of -5/3.
From the slope value it is indicate that, when two variables have a negative slope, they are negatively correlated, meaning that as x rises, y falls and vice versa. A line on a line graph with a negative slope is falling as it goes from left to right graphically.
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the accuracy of a sample is a measure of how closely it reports the true values of the population it represents. true false
A sample's accuracy is determined by how well it captures the genuine characteristics of the population it represents true
Accuracy is a measure of how closely a sample reflects the true values of the population it is representing. A sample that is accurate is one that accurately reflects the characteristics of the population it is representing. For example, if a sample is taken from a population of 1000 people, the sample should represent the diversity of the population, such as age, gender, race, and other characteristics. If the sample accurately reflects these characteristics, then it can be said to be accurate. The accuracy of a sample can be determined by comparing it to the population it is representing, either through surveys, interviews, or other data collection methods. If the sample closely matches the true values of the population, then it can be said to be accurate. If there are discrepancies between the sample and the population, then the sample is not accurate.
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a mistake was made in the steps shown to simplify the expression. which step includes the mistake?
The step in which there is a problem is the operation in step 4. option C
Where is the mistake?In this question, we are expected to solve the problem in a number of steps. We know that in mathematics, the solution to a given problem can only be worked out through a number of steps that can help us to be able to know what the correct solution of the problem ought to be.
In this case we have a simplification problem. It should be know that the acronym of BODMAS has to be called to mind here and that is;
BracketOfDivisionMultiplicationAdditionSubtractionMathematical operations would have to be carried out in this order else there would be a mistake in it. We can see that the addition in step 4 before division did not follow the principle of BODMAS thus that step is wrong.
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In the diagram below, the point O is referred to as the _____.
Answer:
d. Orthocenter
Step-by-step explanation:
⭐What is an orthocenter?
the point of concurrency of the altitudes of a triangle⭐What is an altitude?
a perpendicular segment from the vertex to the opposite side of the vertexcreates a right angle (90°)We can see that point O is the point of concurrency of the altitudes of this given triangle because there are 90° formed by the perpendicular lines.
Thus, O is referred to as the orthocenter.
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a frequent cause of measurement error in polls is due to a. the increased use of cell phones. b. push polling. c. poorly worded questions. d. too large sample sizes.
Polling mistakes are frequently caused by poorly written questions. People frequently misunderstand questions that are worded strangely and react to the question inaccurately, which leads to an error in the polling data. Due to misinterpretation, people frequently react differently than they would typically say , then option c is correct.
Limited respondent selections, a lack of knowledge, difficulty assessing intensity, and lack of interest in political matters are just a few of the factors that might make a poll unreliable.
Survey mistake, fewer respondent alternatives, a lack of knowledge, problems assessing intensity, and a lack of interest in political matters are some potential polling weaknesses.
The drawback of polling is that if there are too many devices to check, it may take longer to service an I/O device than it does to poll all of the devices.
Instrumental, environmental, procedural, and human errors are frequent causes. Depending on how they affect the outcomes, each of these errors can either be random or systematic.
Therefore,
Polling mistakes are frequently caused by poorly written questions. People frequently misunderstand questions that are worded strangely and react to the question inaccurately, which leads to an error in the polling data. Due to misinterpretation, people frequently react differently than they would typically say , then option c is correct.
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(10) M is the midpoint of CF for the points C(3, 7)
and F(5, 5). Find MF.
F. 2
G. 2√2
H. √√√2
J. 4
The coordinate of M is .The length of the line segment MF is √2. Hence option H is the correct option.
What is the coordinates of a point?
An ordered pair of the form of a point's name is (x, y). The x-coordinate is represented by the first integer, and the y-coordinate by the second. You must place a dot at the coordinates of the ordered pair in order to graph a point. Always begin at the beginning when possible.
Given that the coordinates of Point C is (3,7).
The coordinates of Point F is (5,5).
The coordinates of the midpoint of the line segment A(x₁, y₁) and B(x₂, y₂) is
(x₁ + x₂/2, y₁ + y₂/2).
The x-coordinate of midpoint of line segment CF is (3 + 5)/2 = 4
The y-coordinate of midpoint of line segment CF is (7 + 5)/2 = 6
M is midpoint of CF.
Thus the coordinates of M is (4,6).
The formula of distance of two points (x₁, y₁) and (x₂, y₂) is √[(x₂ - x₁)² + (y₂ - y₁)²].
The length of line segment of MF is √[(5 - 4)² + (5 - 6)²] units
= √(1+1)
=√2 units
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write a system of three linear equations with three variables each that has the unique solution . write your equations in standard form. use the variables , , and with non-zero coefficients.
the system of three linear equations with three variables each that has the unique solution is 2x + 3y + 4z = 30, 3x + 4y + 5z = 45 and 5x + 6y + 7z = 75.
2x + 3y + 4z = 30
3x + 4y + 5z = 45
5x + 6y + 7z = 75
The first equation is 2x + 3y + 4z = 30. The coefficients for the variables are 2, 3 and 4 which are all non-zero, meaning that this equation has a unique solution.
The second equation is 3x + 4y + 5z = 45. The coefficients for the variables are 3, 4 and 5 which are all non-zero, meaning that this equation also has a unique solution.
The third equation is 5x + 6y + 7z = 75. The coefficients for the variables are 5, 6 and 7 which are all non-zero, meaning that this equation also has a unique solution.
Therefore, the system of three linear equations with three variables each that has the unique solution is 2x + 3y + 4z = 30, 3x + 4y + 5z = 45 and 5x + 6y + 7z = 75.
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Please help meee !!???
(Short division)
8/4=? (0)
8/41=5 remainders 1
carry the one
8/14=1 remainders 6
add a .0
carry the six
8/60= 7 remainders 4
add a .0
carry the four
8/40= 5
Therefore the answer is 51.75
Graph the equation. y=-x^2-6x-3
Answer:
Step-by-step explanation:
It is easier to graph using a free online graphing utility, such as DESMOS. See the attached graph. If the goal is to make a graph with pencil and graph paper, then select a few values of x and put them into the equation to find y.
A talble of a few random values is attached.
The graph includes both the generated DEMOS line (a downwards parabola) and the calculated points from the attached table. Add the points to a blank graph and draw a line as best you can that connects all the points. It is clear that a few more points with negative values of x would help with the line drawing.
Select the graph that represents the solution of the compound inequality –6 ≤ 4x + 6 < 14. A number line from negative 5 to 5 in increments of 1. A point is at 0 and a bold line is drawn to the right stopping at the open circle at 2. A number line from negative 5 to 5 in increments of 1. A point is at negative 5 and a bold line is drawn to the right stopping at the open circle at 3. A number line from negative 5 to 5 in increments of 1. A point is at negative 3 and a bold line is drawn to the right stopping at the open circle at 5. A number line from negative 5 to 5 in increments of 1. A point is at negative 3 and a bold line is drawn to the right stopping at the open circle at 2.
The graph that represents the solution to the compound inequality –6 ≤ 4x + 6 < 14 is given as follows:
A number line from negative 5 to 5 in increments of 1. A point is at negative 3 and a bold line is drawn to the right stopping at the open circle at 2.
How to solve the inequality?The inequality for this problem is defined as follows:
–6 ≤ 4x + 6 < 14.
This means that two conditions have to be satisfied.
The first condition is given as follows:
–6 ≤ 4x + 6
That is:
4x + 6 ≥ -6
4x ≥ -12
x ≥ -3.
The second condition is given as follows:
4x + 6 < 14
4x < 8
x < 2.
The intersection of these two conditions is composed by the values between -3 and 2, with a closed interval at -3 and an open interval at 2.
This means that the last option is the correct option.
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) the probability that a certain make of car will need repairs in the first six months is 31%. a dealer sells four such cars. what is the probability that all four of them will require repairs in the first six months?
Probability of requiring repair by the four cars in the first six months is equal to 0.009235.
As given in the question,
Probability of having repair requirement in the first six months = 31%
Success rate 'p' = 31%
= 0.31
1 - p = 1 - 0.31
= 0.69
Total number of cars 'n' = 4
Number of cars need to repair 'x' = 4
Probability for all the four cars require repairment in the first six months
= ⁿCₓ pˣ ( 1 - p)ⁿ⁻ˣ
= ⁴C₄ ( 0.31)⁴ ( 0.69)⁴⁻⁴
=( 4!/ (4-4)!4!) × ( 0.31)⁴ × 1
= ( 0.31)⁴
= 0.009235
Therefore, the probability of all the four cars require repairing in the first six months is equal to 0.009235.
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PLEASE HELP ILL GIVE YOU FIVE STARS!!!!!!!!!!!!!!!!
Solve the inequality for x.
4 − 2x < 8
1. x > 2
2. x < 2
3. x > −2
4. x < −2
Answer:
umm it's 3
Step-by-step explanation:
Given the equation 18 equals y over -5, solve for y. NEED ANSWER ASAPPP!!
90
−90
23
−13
Answer: -90
Step-by-step explanation: To solve this equation for y, we need to isolate the variable y on one side of the equation. To do this, we can multiply both sides of the equation by -5 to get rid of the fraction on the right side:
18 = y / -5
18 * -5 = y / -5 * -5
-90 = y
Therefore, the value of y that satisfies the equation is -90.
Cuál es la diferencia entre la ley de senos y la ley de cósenos
The law of sines uses only two sides and the angles that are opposite them, while the law of cosines uses all three sides and only one of the sides opposite an angle
What are the laws about?An angle's cosine and sine are equal to each other, with the sine of an angle equal to the cosine of its complementary angle.
The law of cosines uses all three sides and only one of the sides that are opposite an angle, whereas the law of sines only uses two sides and the angles that are opposite them. The sine ratio is used by the law of sines, and the cosine ratio is used by the law of cosines.
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Complete question
What is the difference between the law of sines and the law of cosines
What is the axis of symmetry? What are the coordinates of the vertex?
y=-x² +8x+12
Answer:
axis of symmetry : x = 4
coordinates of the vertex : (4, 28)
Step-by-step explanation:
Before we start solving, let's define what the coefficients of this quadratic equation is.
[tex]y = ax^2 + bx + c[/tex]
[tex]y = -x^2 + 8x + 12[/tex]
a = -1
b = 8
c = 12
⭐What is the axis of symmetry?
the vertical line that cuts through the vertex and makes the parabola into 2 symmetrical halvesequation: x=To find the axis of symmetry, we need to find the x-coordinate of the vertex.
Equation for the x-coordinate of the vertex:
[tex]x = \frac{-b}{2a}[/tex]
Substitute the values of a, b, and c into this equation and compute.
[tex]x = \frac{-(8)}{2(-1)}[/tex]
[tex]x = \frac{-8}{-2}[/tex]
[tex]x = 4[/tex]
∴ The axis of symmetry is x = 4
⭐What is the vertex of a parabola?
the absolute highest or lowest point of the parabolaTo find the x-coordinate of the vertex, you can use the formula: [tex]x = \frac{-b}{2a}[/tex].
To find the y-coordinate of the vertex, substitute the x-coordinate of the vertex and compute.
x-coordinate: 4
y-coordinate:
[tex]y = -x^2 + 8x + 12[/tex]
[tex]y = -(4)^2 + 8(4) + 12[/tex]
[tex]y = -(16) + 32 + 12[/tex]
[tex]y = -16 + 44[/tex]
[tex]y = 28[/tex]
y-coordinate: 28
∴ The coordinates of the vertex is (4,28)
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simply the expression
Answer:21x-4
Step-by-step explanation:
5x*5x=25x
-9+5=-4
-2x*-2x=-4x
-4x+25x= 21x
21x=-4x
have a nice day <3
A chemist is using 363 milliliters of a solution of acid and water 12.2% If the solution is acid, how many milliliters of acid are there Round your answer to the nearest tenth
There are 44.26 mL of acid in the solution .
What is arithmetic?
Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, mathematical operation, and extraction of roots.
Main body:
Since 12.2% of the solution is acid, and we have 363 mL in total, we just multiply 363 x 0.122 to get 44.26 mL of acid.
Ant time we do any calculations with percents, we have to use the decimal version of the percent. So 12.2% becomes 0.122. We simply move the decimal in the percent two places to the left.
Hence ,There are 44.26 mL of acid in the solution .
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Marta walked at 2.9 miles per hour for 0.52 hours. How far did she walk?
Find the values of each variable. Be able to explain why and how you were able to solve for
the variable.
29
(9x + 21)°
(11x-1)°
(5y-5)°
the variable is given in the question x=11 and y=13.
What is a System of Equations?
A system of equations in algebra is made up of two or more equations that are solved together. "A group of equations satisfied by the same set of variables are called a system of linear equations. Finding the values of the variables employed in the system of equations is the first step towards solving it. While maintaining the balance of the equations on both sides, we compute the values of the unknown variables. Finding a variable whose value makes the condition of all the given equations true is the primary goal of solving an equation system.
(9x + 21)° = (11x-1)° as both the lies are parallel.
2x = 22
x=11
So 11x-1 + 5y-5 = 180
121-1+5y-5=180
5y = 180 -121+6
y =65/5 =13
Hence the variable is given in the question x=11 and y=13.
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PLEASE HELP
A moth crawled 2 meters down a wall, 3 meters along the same wall, and 4 meters along an adjoining wall. Given that the walls join at a 90° angle, which most accurately expresses the distance in meters the moth will travel when flying in a straight line back to its original position?
The length of the diagonal path that leads to the original position of the moth that travels 2 meters down and, 3 meters along a wall, then 4 meters along a perpendicular wall, representing the dimensions of a rectangular prism is √(29) meters
What is the diagonal of a rectangular prism?The diagonal of a rectangular prism is a segment that stretches from one corner of the prism to the opposite corner of the prism, passing through the center of the prism.
The distance down the wall the moth crawled = 2 meters
The distance along the same wall the moth crawled = 3 meters
The distance the moth crawled along the adjoining wall = 4 meters
Angle at which the walls join = 90°
The distance distance traveled by the moth when flying in a straight line back to its original position is a diagonal of a rectangular prism of height, h = 2 meters, width, w = 3 meters, and length, l = 4 meters
The length of the diagonal of a rectangle that has height, h, width, w, and length, l, is found using the following formula;
d = √(h² + w² + l²)
The length of the diagonal along which the moth flies is therefore;
d = √(2² + 3² + 4²) = √(29)
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Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a ride. inequality
Answer:
Step-by-step explanation:
0.65x + 1.75 ≤ 10
0.65x ≤ 10 - 1.75
0.65x ≤ 8.25
x ≤ 8.25/0.65
x ≤ 12.692308
The bears in Alaska are limited to a certain area to live due to the resources available for
food and shelter. After years, the number of bears living in the area is modeled by the function below. Using the function, find the number of bears after 17 years.
The number of bears living in the area after 17 years is; 22555
How to solve exponential functions?We are given the function;
f(t) = 103/(1 + 26e^(-0.31t))
Where f(t) is a function that models the number of bears living in the area after t period of years.
Thus, to find the number of bears living in the area after 17 years, we will just substitute 17 for t in the given function to get;
f(17) = 103/(1 + 26e^(-0.31*17))
f(17) = 103/0.00456653759
f(17) ≈ 22555 bears
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There were five and five-eighths pies at the carnival. two and one-fourth pies were sold to adults and one and one-half pies were sold to children. How many pies were left?
Answer:
Two and three-eighths pies were left.
Step-by-step explanation:
NEED!!! :)
For a particular class, each student gave the number of jobs they currently have. The data is listed below: 1,2,0,0,1,3,1,2,1,2,1,0,3,1,2,3,1,0,1,2,0,2
a. Create a relative frequency table for this data set. It should have a column for the frequency and relative frequency(or percent) of each number of jobs. ****don’t exactly need this answered****
b. Give the mean of the data set.
c. Give the median of the data set.
d. Give the mode of the data set.
e. Give the range of the data set.
The mean of a data set is 1.36, the mode of a data set is 1, and the range of a data set is 3.
What are the mean, mode, and range?
Mean is the average of all of the numbers. Median is the middle number, when in order. Mode is the most common number. Range is the largest number minus the smallest number.
a). To create a relative frequency table, first, find the frequency of each number of jobs by counting how many times each number appears in the data set.
Then, divide each frequency by the total number of students in the class to find the relative frequency (or percent) of each number of jobs.
The table:
Number of jobs Frequency Relative frequency (percent)
0 4 20%
1 7 35%
2 7 35%
3 3 15%
b). To find the mean of a data set, add up all the values and divide by the number of values.
the mean would be: (1+2+0+0+1+3+1+2+1+2+1+0+3+1+2+3+1+0+1+2+0+2) / 22 = 1.3636363636363635
c). To find the median of a data set, first put the values in order from least to greatest. If the number of values is odd, the median is the middle value. If the number of values is even, the median is the average of the two middle values. In this case, the values in order are: 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3. Since there are 22 values, the median is the average of the 11th and 12th values, which is (1+1) / 2 = 1
d). To find the mode of a data set, look for the value that appears most often. In this case, the mode is 1, because it appears 7 times, more than any other value.
e). To find the range of a data set, subtract the smallest value from the largest value. In this case, the range would be 3 - 0 = 3.
Hence, the mean of a data set is 1.36, the mode of a data set is 1, and the range of a data set is 3.
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A student claims that the graph shows the player earned more points from Level 2 to Level 3 than from Level 4 to Level 5. Is the student correct?
O No, the player earned 67 points from Level 2 to Level 3 and 69 points from Level 4 to Level 5
O No, the player earned 42 points from Level 2 to Level 3 and 44 points from Level 4 to Level 5.
O Yes, the player earned 67 points from Level 2 to Level 3 and 69 points from Level 4 to Level 5.
OYes, the player earned 42 points from Level 2 to Level 3 and 44 points from Level 4 to Level 5.
Select all the possible solutions of 20y < -5 + 18y.
A) y> -2.5
B)y> -
5
2
□C) y < - //
5/2
□E) y >
□F)y <-
-
☐D)-2.5> y
5
38
5
38
The possible solutions of the inequality expression given as 20y < -5 + 18y are (c) y < -5/2, y < -2.5 and (d) -2.5 > y
How to determine the possible solutions of the inequality?From the question, we have the following parameters that can be used in our computation:
20y < -5 + 18y.
To start with, we need to collect the like terms of both sides
Using the above as a guide, we have the following:
20y -18y < -5
Next, we need to evaluate the like terms of both sides
Using the above as a guide, we have the following:
2y < -5
Lastly, we divide both sides by 2
y < -5/2
Express as decimal
y < -2.5
Switch the positions
-2.5 > y
Hence, the solutions are y < -5/2, y < -2.5 and -2.5 > y
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On average, Shandra drinks \frac{3}{5} 5 3 of a 10-ounce glass of water in 1\tfrac{2}{5}1 5 2 hours. How many glasses of water does she drink in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
In one hour Shandra can drink [tex]4\frac{2}{7}[/tex] ounces of water.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, On average, Shandra drinks [tex]\frac{3}{5}[/tex] of a 10-ounce glass of water
which is = (3/5)×10 ounces = 6 ounces in [tex]1\frac{2}{5}[/tex] an hour.
[tex]1\frac{2}{5}[/tex] hours is equal to 7/5 hours.
So, 6 ounces of water in 7/5 hours.
Therefore, In one hour Shandra can drink {6/(7/5)} = 6×(5/7) = 30/7 ounces.
= [tex]4\frac{2}{7}[/tex] ounces of water.
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For one photography session, Dexter earns no less than $50, but no more than $100. Which inequality can be used to represent his earnings, e? e ≥ 50 or e ≤ 100 e > 50 or e < 100 50 < e < 100 50 ≤ e ≤ 100
Answer:[tex]50 \leq e \leq 100[/tex]
Step-by-step explanation:
'No less' corresponds to [tex]\leq[/tex].
'No more' corresponds to [tex]\geq[/tex].
Putting this together, we get [tex]50 \leq e \leq 100[/tex].
Answer:
The Answer is D:50 ≤ e ≤ 100
Step-by-step explanation:) hope this helps:)!.
Brainliest would be very very appreciated.
The radius of a sphere is 4y. Determine its volume, giving the answer as an exact simplified expression in terms of y
Answer:
267.95 y^3 or we can keep it like 85.333πy^3
Step-by-step explanation:
Radius of the Sphere is 4y
Volume of sphere = (4/3)πR^3, where R is the radius of sphere.
Therefore, (4/3) *π*(4y) ^3
= [(256/3) y^3]π
=85.333πy^3
=267.95y^3 (Ans)
If a fair coin is tossed 4 times, what is the probability, to the nearest thousandth, of getting exactly 4 heads?
Answer: The probability of getting exactly 4 heads in 4 tosses of a fair coin is 0.0625, or 6.25%.
Step-by-step explanation:
We can use the formula for combinations, which is:
n! / (r! * (n - r)!)
In this case, n is the total number of tosses (4) and r is the number of successes we want to count (4 heads). Plugging these values into the formula, we get:
4! / (4! * (4 - 4)!) = 4! / (4! * 0!) = 4! / (4! * 1) = 1 / 1 = 1
The probability of getting exactly 4 heads in 4 tosses of a fair coin is therefore 1, or 100%. However, this is assuming that the coin is not fair and always lands on heads. If the coin is fair, the probability of getting 4 heads in 4 tosses is actually much lower.
To find the probability of getting 4 heads in 4 tosses of a fair coin, we need to use the formula for binomial probability, which is:
(n! / (r! * (n - r)!) * p^r * (1 - p)^(n - r)
In this case, p is the probability of getting a head in a single toss of the coin (0.5), r is the number of successes we want to count (4 heads), and n is the total number of tosses (4). Plugging these values into the formula, we get:
(4! / (4! * (4 - 4)!) * 0.5^4 * (1 - 0.5)^(4 - 4) = 1 * 0.5^4 * (1 - 0.5)^0 = 0.5^4 * 1 = 0.0625
Thus, the probability of getting exactly 4 heads in 4 tosses of a fair coin is 0.0625, or 6.25%, to the nearest thousandth.
If x< 0 and y > 0, where is the point (x,y) located ???
The points (x, y) lie in the 2nd quadrant when x<0 and y>0.
What are quadrants?Two-dimensional Cartesian axes separate the plane into four infinite regions known as quadrants, each of which is bordered by two half-axes.
The coordinate system's two axes, the x-axis, and the y-axis constitute a region called a quadrant.
The quadrants are generated when the two axes, the x-axis, and the y-axis, cross at a 90-degree angle.
These areas include coordinates or positive and negative values of the x- and y-axes.
So, refer to the graph attached below.
Now, we know that:
Quadrant 1: x>0, y>0
Quadrant 2: x<0, y>0
Quadrant 3 x<0, y<0
Quadrant 4: x>0, y<0
We are given: x<0 and y>0
We can say that when x<0 and y>0 the point (x, y) lies on the 2nd quadrant.
Therefore, the points (x, y) lie in the 2nd quadrant when x<0 and y>0.
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