Answer:
y + 21 = - 4(x - 7)
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (7, - 21 ) and (x₂, y₂ ) = (- 4, 23 )
m = [tex]\frac{23-(-21)}{-4-7}[/tex] = [tex]\frac{23+21}{-11}[/tex] = [tex]\frac{44}{-11}[/tex] = - 4
using (a, b ) = (7, - 21 ) , then
y - (- 21) = - 4(x - 7) , that is
y + 21 = - 4(x - 7)
Please answer asap
It would be helpful
The answer of the given question based on the cylinder is , the volume of the solid = 929.44 inch³ . , the mistake is student may have only calculated the volume of the inner cylinder.
What is Volume?Volume is amount of three-dimensional space occupied by object or substance. It is a physical quantity that is measured in cubic units, such as cubic meters (m³), cubic centimeters (cm³), or cubic inches (in³). The volume of an object can be calculated by measuring its dimensions and using a mathematical formula specific to its shape.
To find volume of solid, we need to subtract volume of inner cylinder from volume of outer cylinder.
Volume of the outer cylinder = πr²h
where r = radius of the outer cylinder = 4 inches (diameter is given as 8 inches)
h = height of the outer cylinder = 23 inches
Volume of the outer cylinder = π(4)²(23) = 368π in³
Volume of the inner cylinder = πr²h
where r = radius of the inner cylinder = 2 inches
h = height of the inner cylinder = 18 inches
Volume of the inner cylinder = π(2)²(18) = 72π in³
So, the volume of the solid = Volume of the outer cylinder - Volume of the inner cylinder
= 368π - 72π
= 296π
= 929.44 inch³
The student's answer of 988.05 in³ is significantly higher than the correct answer, suggesting that the student may have only calculated the volume of the inner cylinder instead of subtracting it from the volume of the outer cylinder. This mistake may have arisen due to misreading the problem or misunderstanding the instructions.
To know more about Radius visit:
https://brainly.com/question/12922563
#SPJ1
if you repeated a hypothesis test 1,900 times (in other words, 1,900 different samples from the same population), how many times would you expect to commit a type i error, assuming the null hypothesis were true, if
Answer: Assuming a significance level of 0.05 for each hypothesis test, the probability of committing a Type I error (rejecting the null hypothesis when it is actually true) in any given test is 0.05.
Therefore, the expected number of Type I errors in 1,900 hypothesis tests is:
Expected number of Type I errors = (0.05) x (1,900) = 95
So, we would expect to commit a Type I error about 95 times in 1,900 hypothesis tests, assuming the null hypothesis were true.
Step-by-step explanation:
Prisms that have 2400cm
Answer: A Rectangular prism
In an instant lottery, your chances of winning are 0.1. If you play the lottery twice and outcomes are independent, the probability that you win at least once is
The probability of winning at least once when playing the instant lottery twice is 0.19, or 19%.
To find the probability of winning at least once in the instant lottery when playing twice, we can use the complement rule.
The complement rule states that the probability of an event occurring (in this case, winning at least once) is equal to 1 minus the probability of the event not occurring (in this case, not winning both times).
Determine the probability of not winning in a single game, which is 1 - 0.1 = 0.9.
Calculate the probability of not winning both times, since outcomes are independent, by multiplying the probabilities of not winning each time: 0.9 * 0.9 = 0.81.
Finally, find the probability of winning at least once by subtracting the probability of not winning both times from 1: 1 - 0.81 = 0.19.
For similar question on probability.
https://brainly.com/question/28213251
#SPJ11
show your work 3.37 times 9
Answer:
[tex]3.37 \times 9 \\ = 30.33[/tex]
hope it helps
sam is a regular at joe's diner. according to the waitress, the probability that sam will order ham is 0.8 and the probability that he will order coffee is 0.65. what is the probability that he will order neither ham nor coffee?
For an event based on order by sam for ham and coffee with different probabilities, then the probability that he will order neither ham nor coffee is equals to the 0.07.
We have sam is a regular customer at joe's diner. Let us consider two events be defined as A: sam will order ham
B: sam will order coffee
Now, the probability that sam will order ham, P( A) = 0.8
The probability that sam will order coffee, P( B) = 0.65
We have to determine the probability that he will order neither ham nor coffee.
Probability is chances of occurrence of an event. It is calculated by dividing the favourable response to total possible outcomes. Probability value always lies between 0 to 1. Apply probability law P( will order ham ) + P( will not order ham) = 1
=> Probability that sam will not order ham
[tex]P( \bar A ) [/tex] = 1 - 0.8 = 0.2
Probability that sam will not order coffee,
[tex]P( \bar A ) [/tex]= 1 - 0.65 = 0.35
Now, as we see both events A and B are independent events so, there corresponding also independent. Therefore, Probability that he will order neither ham nor coffee, [tex] P( \bar A ∩ \bar B) [/tex]
[tex]= P( \bar A) P(\bar B) [/tex]
= 0.2 × 0.35 = 0.07
Hence, required probability is 0.07.
For more information about probability, visit:
https://brainly.com/question/25870256
#SPJ4
Mr. and Mrs. Johnson took their three children to the movies. If adult tickets cost $7 and children's tickets cost $4, what is the ratio of the total cost of the parents' tickets to the total cost of the children's tickets? Write your answer in the form aib, where a and b are whole numbers.
Let's assume that Mr. and Mrs. Johnson bought x adult tickets and y children's tickets.
Since there are three children, we know that:
y = 3x
The total cost of the parents' tickets is 7x, and the total cost of the children's tickets is 4y. Substituting y = 3x, we get:
total cost of parents' tickets = 7x
total cost of children's tickets = 4(3x) = 12x
Therefore, the ratio of the total cost of the parents' tickets to the total cost of the children's tickets is:
(7x) / (12x) = 7/12
So the answer is 7/12, which cannot be simplified further. Therefore, the ratio is 7/12, which can be written in the form aib as 0+7/12i.
Answer: 7:6
Step-by-step explanation:
1. There are two adults (Mr. and Mrs. Jonhson) and three children. So let's make adults = y and children = x
2. Adult tickets cost $7. So we are going to multiply 7 x 2y = $14
3. Children's tickets cost $4. So we are going to multiply 4 x 3x = $12
4. The last step is to fully reduce [tex]\frac{14}{12}[/tex] = [tex]\frac{7}{6}[/tex]
5. So the answer is 7:6
if your degrees of freedom is 24, your sample size when conducting a t test for dependent means must be ______. a. 26 b. 23 c. 25 d. 24
If the degree of freedom is 24, your sample size when conducting a t-test for dependent means must be 25. Option C is the correct answer.
The sample size when conducting a t-test for dependent means depends on the specific study design and the level of significance desired, and cannot be determined solely based on the degrees of freedom.
However, if we assume that the sample size is equal for both groups, then the formula to calculate the degrees of freedom for a t-test for dependent means is:
df = n - 1
Where "n" is the number of pairs of observations in the sample.
Therefore, if the degree of freedom is 24, then the number of pairs of observations in the sample would be:
n = df + 1 = 24 + 1 = 25
Hence, the answer is 25.
Learn more about the degrees of freedom at
https://brainly.com/question/31178740
#SPJ4
_____ is used to test the hypothesis that the values of the regression parameters β1, β2, . . . , βq are all zero.
a. An F test b. A t test c. The least squares method d. Extrapolation
An F test is used to test the hypothesis that the values of the regression parameters β1, β2, . . . , βq are all zero. So the correct option is A.
The F test is based on the ratio of the mean square of the regression to the mean square of the error, and it is used to test the overall significance of the regression model. It tests whether there is a linear relationship between the independent variables and the dependent variable, and whether the model is statistically significant. In contrast, a t test is used to test the significance of individual regression coefficients, and the least squares method is a technique used to estimate the parameters of a linear regression model. Extrapolation is the process of estimating values of a dependent variable outside the range of the independent variables based on the regression model.
Learn more about hypothesis ,
https://brainly.com/question/29519577
#SPJ4
The F test is used to test the hypothesis that the values of the regression parameters β1, β2, . . . , βq are all zero. therefore, option a. an F text is correct.
This test is commonly used in regression analysis to determine whether there is a significant relationship between the
dependent variable and the independent variables.
The F test compares the variance explained by the regression model to the residual variance, and the null hypothesis
assumes that all regression coefficients are equal to zero, indicating no relationship between the dependent variable
and the independent variables.
If the calculated F-statistic is larger than the critical value, we reject the null hypothesis and conclude that there is a
significant relationship between the dependent variable and the independent variables.
for such more question on F test
https://brainly.com/question/17256783
#SPJ11
Cameron completed a 74 kilometer cycling race at an average speed of 11.84km/h.
How long did he take to complete the race? Give your answer in hours and minutes.
For which distributions is the median the best measure of center?
Select each correct answer.
hurry pls
The 1st and the 3rd are the distributions where the median the best measure of center
What is meant by medianThe median represents the central value in a dataset that is organized in ascending or descending order. If there are an even number of data points, the median can be calculated as the mean of the two middle values.
This method is much less prone to influence by extreme values when compared to other methods such as the mean. Hence, it is considered a more reliable measure of center particularly for datasets with outliers.
Read more on measure of centre here:https://brainly.com/question/15214370
#SPJ1
What is the relative minimum of the function?
Enter your answer in the box.
A grid with x axis increments of two increasing from negative ten to ten and y axis increments of two increasing from negative ten to ten. The grid contains a parabola opening up with a vertex at x equals negative three and y equals negative two.
The relative minimum of the function include the following: -2.
What is the vertex form of a quadratic equation?In this exercise, you are required to determine the relative minimum of the function with respect to the vertex form of a quadratic function h(x) that is written in standard form. Mathematically, the vertex form of a quadratic equation is given by this formula:
y = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Based on the information provided about this quadratic function, we can reasonably infer and logically deduce that that its vertex is at x equals negative three and y equals negative two.;
Vertex (h, k) = (-3, -2)
Therefore, the relative minimum is equal to -2.
Read more on vertex here: brainly.com/question/14946018
#SPJ1
Serena is making a model of one of the Egyptian pyramids. The square base has sides that are all 4. 8 in. Each of the triangular faces has a base of 4. 8 in and a height of 4. 2 in. How much paper would it take to cover the entire pyramid?
To cover the entire area of pyramid, Serena would need approximately 63.36 square inches of paper.
The area of the square base is
4.8 in x 4.8 in = 23.04 sq in
The area of each triangular face is
(1/2) x base x height = (1/2) x 4.8 in x 4.2 in = 10.08 sq in
Since there are four triangular faces, the total area of the triangular faces is
4 x 10.08 sq in = 40.32 sq in
Therefore, the total surface area of the pyramid is
23.04 sq in + 40.32 sq in = 63.36 sq in
So, it would take 63.36 square inches of paper to cover the entire pyramid.
To know more about area of the square:
https://brainly.com/question/1658516
#SPJ4
a hose fills hot tub at 4.6 gallons per minute. how many hours will it take to fill a 440-gallon hot tub?
It will take approximately 1.59 hours to fill the hot tub with a hose that has a filling rate of 4.6 gallons per minute
Assuming that the filling rate of the hose is constant, we can use the formula:
time = volume / rate
where time is the time taken to fill the hot tub, volume is the volume of the hot tub (440 gallons), and rate is the filling rate of the hose (4.6 gallons per minute).
Substituting the values, we get:
time = 440 / 4.6
which simplifies to:
time = 95.65 minutes
To convert minutes to hours, we divide by 60 (since there are 60 minutes in an hour):
time = 95.65 / 60
which simplifies to:
time = 1.59 hours
Therefore, it will take approximately 1.59 hours to fill the hot tub with a hose that has a filling rate of 4.6 gallons per minute.
Learn more about filling rate
https://brainly.com/question/26938204
#SPJ4
It will take approximately 1.594 hours to fill a 440-gallon hot tub with a hose that fills at a rate of 4.6 gallons per minute.
To determine how many hours follow these steps:
First, we need to find out how many minutes it takes to fill the hot tub.
Divide the total volume of the hot tub (440 gallons) by the rate at which the hose fills (4.6 gallons per minute):
440 gallons ÷ 4.6 gallons/minute = 95.65 minutes
Now, we need to convert the minutes into hours.
Since there are 60 minutes in an hour, divide the minutes by 60:
95.65 minutes ÷ 60 minutes/hour = 1.594 hours
It will take approximately 1.594 hours to fill a 440-gallon hot tub with a hose that fills at a rate of 4.6 gallons per minute.
for such more question on word problem
https://brainly.com/question/21405634
#SPJ11
In your notebook, draw a right angle and then draw a bisector of the right angle. Label all parts. What are some properties of the angles formed by the bisector? Use complete sentences for full credit.
The angles formed by the bisector are equal in measure, adjacent, supplementary, form a linear pair, and are congruent.
When a line bisects an angle, it divides the angle into two equal parts. The resulting angles have several properties
They have equal measures: The two angles formed by the bisector have the same degree measurement.
They are adjacent: The two angles share a common side and vertex.
They are supplementary: The sum of the two angles formed by the bisector is 180 degrees.
They form a linear pair: The two angles, together with the adjacent angle on the other side of the bisector, form a straight line or a linear pair.
They are congruent: The two angles formed by the bisector are congruent to each other.
These properties are useful in solving problems involving angle bisectors in geometry.
Learn more about bisector here
brainly.com/question/2478436
#SPJ4
I have solved the question in general, as the given question is incomplete.
The complete question is:
What are some properties of the angles formed by the bisector?
Find all angle measures in the diagram.
The measure of ZKJL =
The measure of ZNJM =
The measure of ZMJL=
Answer: 1. 45%
2. 32%
3. 67%
Simplify. 5/12x1/12=
Answer:
Step-by-step explanation:
720
Ok people. In the pdf are 2 questions. I literally just need to know what numbers go in them boxes. I am offering 30 points. Please Help soon.
Since the center of this semicircle is at the origin, O (0, 0), the radius of the semicircle is 5 units.
Since the center of this semicircle is at the point A (3, 4) and point B (-4, 5), the radius of the semicircle is 5√2 units.
How to calculate the distance between the two points?In Mathematics and Geometry, the distance between two (2) points that are on a coordinate plane can be calculated by using the following mathematical equation (formula):
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where:
x and y represents the data points (coordinates) on a cartesian coordinate.
By substituting the given points into the distance formula, we have the following;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance = √[(3 - 0)² + (4 - 0)²]
Distance = √[(3)² + (4)²]
Distance = √(9 + 16)
Distance = √25
Distance = 5 units.
At point A (3, 4) and point B (-4, 5), the radius is given by;
Distance = √[(-4 - 3)² + (5 - 4)²]
Distance = √[(-7)² + (1)²]
Distance = √(49 + 1)
Distance = √50 = 5√2 units.
Read more on distance here: brainly.com/question/12470464
#SPJ1
Missing information:
The question is incomplete and the complete question is shown in the attached picture.
when we have data with two quantitative variables, x and y. suppose the general trend changes direction (for example, increases and then decreases). suppose we would like to determine if there is a relationship between x and y, and if so, we wish to create a model that allows us to predict the expected value of y based on x. what is a good method to use?
Once you have information with two quantitative factors, x, and y, and you watch a common slant that changes heading, one good method to decide in case there's a relationship between x and y and to form a show that permits you to anticipate the anticipated esteem of y based on x is to utilize polynomial regression.
Polynomial relapse may be a sort of relapse investigation in which the relationship between the free variable (x) and the dependent variable (y) is modeled as an nth-degree polynomial. By fitting a polynomial work to the information, you'll be able to capture the common drift of the information even if it changes course and utilizes it. to foresee the anticipated esteem of y based on a given esteem of x.
polynomial relapse can be a valuable method to analyze and show information with a changing drift and give experiences into the relationship between x and y.
To learn about polynomial regression visit:
https://brainly.com/question/28490882
#SPJ4
Gaulle Company began the year with a balance of $6,000 in Accounts Receivable and ended the year with $9,000 in the account. Revenues for the period amounted to $38,000. Under the direct method, Gaulle will report cash collected from customers of:A. $44,000B. $35,000C. $41,000D. $47,000
Under the direct method, Gaulle will report cash collected from customers of $35,000.cash collected from customers is determined by adding the changes in Accounts Receivable to the revenues recognized during the period.
Beginning Accounts Receivable was $6,000 and ending Accounts Receivable was $9,000, indicating that customers owed Gaulle an additional $3,000 during the year.
Revenue for the year was $38,000, which represents the total sales generated by the company during the period. To calculate the cash collected from customers, we need to subtract the change in Accounts Receivable from the revenue recognized during the period.
Therefore, the cash collected from customers for Gaulle is calculated as follows:
Cash collected from customers = Revenue - Decrease in Accounts Receivable
= $38,000 - ($9,000 - $6,000)
= $35,000
Therefore, the answer is B. $35,000.
To know more about the accounts receivable turnover:
https://brainly.com/question/31264990
#SPJ4
Find the surface of each pyramid
The surface area of the given pyramid is 203 in²
Calculating the surface area of a square PyramidFrom the question, we are to calculate the surface area of the given square pyramid
From the given information, the base of the pyramid is 7 in
and
The slant height of the pyramid is 11 in
The surface area of a pyramid can be calculated by using the formula
A = a² + 2al
Where A is the area of the pyramid
a is the side base
and l is the slant height
From the given information,
a = 7 in
and
l = 11 in
Thus,
Surface area = 7² + 2(7)(11)
Surface area = 49 + 154
Surface area = 203 in²
Hence,
The surface area is 203 in²
Learn more on Calculating the surface area of a Pyramid here: https://brainly.com/question/22744289
#SPJ1
38 Mr. Liu buys 3 pizzas for a family dinner. He cuts each pizza into eighths.
How many pieces of pizza does Mr. Liu have for the family dinner?
(This is 5th grade)
Answer:
24 slices
Step-by-step explanation:
There are 3 whole pizzas. He cuts each of them into eighths. That means eight slices. 3 times 8 is 24. There are a total of 24 slices. This can also look like this: 24/8 or 24 over 8. Which also equals to 3.
the sample size formula for estimating a proportion using a confidence interval with margin of error e involves the product p(1-p). this product is not known. a conservative approach is to use
A value of 0.25 for p(1-p) in the sample size formula when the true value of p is unknown.
This is because the value of p(1-p) is maximum when p=0.5, and since we do not have any information about the true value of p, assuming p=0.5 is the most conservative approach. Therefore, to calculate the sample size required to estimate a proportion using a confidence interval with a margin of error e, we can use the formula:
[tex]n = [z^2 * p(1-p)] / e^2[/tex]
where z is the z-score corresponding to the desired level of confidence (e.g., 1.96 for 95% confidence), and e is the desired margin of error. We can use p=0.5 and solve for n to get a conservative estimate of the sample size required for the given confidence level and margin of error.
Learn more about sample size ,
https://brainly.com/question/30885988
#SPJ4
If prior knowledge or data suggests that the proportion is significantly different from 0.5, then a more accurate estimate of p should be used in the formula.
To calculate the sample size formula for estimating a proportion using a confidence interval with a margin of error e, we
use the following formula:
[tex]n = (Z^2 × p × (1-p)) / e^2[/tex]
where n is the required sample size, Z is the Z-score corresponding to the desired level of confidence,
p is the estimated proportion, and
e is the margin of error.
Since the product p(1-p) is not known, a conservative approach is to use p = 0.5, which is the value that maximizes the
product p(1-p) for any given proportion.
This approach ensures that the sample size will be large enough to obtain a reliable estimate of the proportion, even if
the true proportion is close to 0 or 1. However, if prior knowledge or data suggests that the proportion is significantly
different from 0.5, then a more accurate estimate of p should be used in the formula.
for such more question on margin of error
https://brainly.com/question/30404882
#SPJ11
A clothing store has each customer spin this spinner to reveal a discount. Even numbers get 20% off and odd numbers get 15% off. The pointer lands on an even number 135 times out of 250 spins
The average discount that is obtained by spinning the spinner is 17.7%.
Let, the probability of landing on an even number is denoted by P(E) and the probability of landing on an odd number is denoted by P(O).
We have that the pointer lands on an even number 135 times out of 250 spins.
So, the probability that is of landing on an even number is:
P(E) = Number of times the pointer lands on an even number / Total number of spins
P(E) = 135 / 250
Since, we have the sum of probabilities of all possible outcomes must be 1, we can find the probability of landing on an odd number as follows:
P(O) = 1 - P(E)
P(O) = 1 - (135 / 250)
Now, we know that even numbers get 20% off, and odd numbers get 15% off.
We find the average discount considering these probabilities:
Average Discount = (P(E) * 20%) + (P(O) * 15%)
Average Discount = (135 / 250) * 20% + [1 - (135 / 250)] * 15%
Now, let's perform the calculations:
Average Discount = (135 / 250) * 0.20 + [1 - (135 / 250)] * 0.15
Average Discount = 0.108 + (1 - 0.54) * 0.15
Average Discount = 0.108 + 0.46 * 0.15
Average Discount = 0.108 + 0.069
Average Discount = 0.177
So, the average discount that is obtained by spinning the spinner is 17.7%.
To learn more on probability click:
brainly.com/question/11234923
#SPJ12
complete question:
A clothing store has each customer spin this spinner to reveal a discount. Even numbers get 20% off and odd numbers get 15% off. The pointer lands on an even number 135 times out of 250 spins. find the average discount obtained by spinning the spinner?
create an equation that models the total amount that Madison spends on fruit
Answer:
2.15g + 0.75w = 20.35
Step-by-step explanation:
(no explanation needed)
Look at this table:
X
0
1
2
3
4
y
3
6
12
24
48
Write a linear function (y = mx + b) or an exponential function (y = a(b)*) that models the
data.
The exponential function that represents the data in the table is given as follows:
y = 3(2)^x.
How to define an exponential function?The standard definition of an exponential function is given as follows:
y = a(b)^x.
In which the parameters are given as follows:
a is the initial value, representing the value of y when x = 0.b is the rate of change.From the table, when x = 0, y = 3, hence the parameter a is given as follows:
a = 3.
When x is increased by one, y is multiplied by 2, hence this is an exponential function and the parameter b is given as follows:
b = 2.
Hence the function is defined as follows:
y = 3(2)^x.
More can be learned about exponential functions at https://brainly.com/question/2456547
#SPJ1
4. 1. 33% of 2406 adults surveyed said that skim milk is a good calcium source. Find the margin of error and explain the results
To find the margin of error, we use the formula:
Margin of Error (ME) = Z * [tex]\sqrt{(p * (1-p) / n)}[/tex]
Z = 1.96 (for a 95% confidence level)
p = 0.33 (proportion of adults who said skim milk is a good calcium source)
(1-p) = 1 - 0.33 = 0.67 (complement of the estimated proportion)
n = 2406 (sample size)
ME = 1.96 * [tex]\sqrt{(0.33 * 0.67 / 2406)}[/tex] = 0.0185 (rounded to four decimal places)
This means that we can estimate, with 95% confidence, that the true proportion of adults who believe skim milk is a good calcium source falls within a range that is 1.85% above or below the reported proportion of 33% based on the survey results.
In other words, the actual proportion of adults who believe skim milk is a good calcium source could be as low as 31.15% or as high as 34.85% based on the margin of error.
ey of the
1
11. The table shows the wages of a worker in
an office. Which equation can be used to
represent how much, y, the worker earns in x
hours?
Hours
2
CIT
4
10
6
10
A. y = 20x+ 5.50
B. y = 10x + 5.50
C. y = 20.5x
Dy = 10x
Wages
$25.50
$45.50
$65.50
$105.50
12. Carlisle is going to paint his living room
Answer:
To determine which equation represents how much the worker earns in x hours, we can use the table to find the rate of pay per hour, which is the change in wages divided by the change in hours:
Change in wages = $105.50 - $25.50 = $80
Change in hours = 6 - 2 = 4
Rate of pay per hour = Change in wages / Change in hours
= $80 / 4
= $20
Therefore, the worker earns $20 per hour. To find the total earnings, we can multiply the hourly rate by the number of hours worked:
y = $20x
Therefore, the correct equation is D) y = 10x, which represents how much the worker earns in x hours.
Step-by-step explanation:
If you make $15 per hour and work 20 hours per week, how much will you
make in 16 weeks?
Answer:
4800
Step-by-step explanation:
15 x 20 = 300 x 16 = 4800
suppose scores on the sat exam are normally distributed with mean 1100 and standard deviation 200. answer the following. (a) aaron scored 989 on the sat. what proportion of students performed worse than aaron? round to 2 decimal places.
Answer: To find the proportion of students who performed worse than Aaron, we need to find the area to the left of his score of 989 on the normal distribution curve.
First, we need to standardize Aaron's score using the formula:
z = (x - mu) / sigma
where x is the score, mu is the mean, and sigma is the standard deviation.
Plugging in the values, we get:
z = (989 - 1100) / 200 = -0.55
Next, we look up the area to the left of z = -0.55 on the standard normal distribution table, or use a calculator to find:
P(Z < -0.55) = 0.2912
Therefore, the proportion of students who performed worse than Aaron is approximately 0.2912, or 29.12% (rounded to 2 decimal places).
Step-by-step explanation: