Naomi plotted the graph below to show the relationship between the temperature of her city and the number of popsicles she sold daily:

A scatter plot is shown with the title Naomis Popsicle Stand. The x axis is labeled High Temperature, and the y-axis is labeled Number of Popsicles Sold. Data points are located at 90 and 20, 85 and 17, 70 and 14, 75 and 20, 60 and 16, 50 and 14, 60 and 12, 40 and 10, 50 and 12, 80 and 8.
Part A: In your own words, describe the relationship between the temperature of the city and the number of popsicles sold. (2 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate the slope and y-intercept.

Answers

Answer 1

Answer: Part A: The graph shows a negative relationship between the temperature of the city and the number of popsicles sold. As the temperature increases, the number of popsicles sold decreases.

Part B: To make the line of best fit, we need to draw a line that comes closest to the data points. We can find the slope and y-intercept of the line by using two of the data points on the graph. Let's choose the points (90, 20) and (40, 10).

Slope = (change in y) / (change in x) = (20 - 10) / (90 - 40) = 0.2

To find the y-intercept, we can use the slope-intercept form of a line: y = mx + b, where m is the slope and b is the y-intercept. Let's use the point (90, 20) and plug in the slope we just found:

20 = 0.2(90) + b

b = 2

Therefore, the approximate slope of the line of best fit is 0.2 and the approximate y-intercept is 2.

Step-by-step explanation:


Related Questions

Mark and Tyler found different quotients for the same division
problem.
Mark
33 + 8 = 4 RI
Tyler
338 = 3 R9
Who’s correct?

Answers

Answer:

tyler

Step-by-step explanation:

338 = 3 R9 i did the math

please mark brainly im trying to level up

Just tell me the answer I have 5 min

Just tell me the answer I have 5 min

Answers

I think the answer is 21. I’m not sure but if I remember it’s 40 + 20 = 60. 180 - 60 = 120 and then it’s a vertical angle which is equal so then it would be 120 + 39 = 159. Then 180 - 159 = 21. Sorry if this is wrong I haven’t done this in a while. Have a good day!

from a consumer’s utility function alone, which of the following may be determined?

Answers

When analyzing a consumer's utility function: preferences, marginal utility, optimal consumption, and substitution and income effects.

From a consumer's utility function alone, you may determine the following:

1. Preferences: A consumer's utility function represents their preferences for different goods and services. By analyzing the function, you can determine which items the consumer prefers and how much they value them.

2. Marginal utility: The marginal utility is the additional satisfaction a consumer receives from consuming one more unit of a good or service. It can be derived from the utility function by taking its first derivative with respect to the quantity of the good or service.

3. Optimal consumption: By analyzing a consumer's utility function and taking into account their budget constraint, you can determine the optimal consumption bundle that maximizes their utility.

4. Substitution and income effects: The utility function can also help you analyze how changes in prices or income will affect a consumer's consumption choices, through the substitution and income effects.

Remember to keep these terms in mind when analyzing a consumer's utility function: preferences, marginal utility, optimal consumption, and substitution and income effects.

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a = 4 and b = -3 calculate the value of 2 a + b​

Answers

Answer:

The answer is five

Step-by-step explanation:

2a + b = 5 because 2*4 = 8 and 8 - 3 equals five.

Answer:

5

Step-by-step explanation:

Plug in the given numbers: 2(4)+(-3)

Perform Multiplication: 8+(-3)

Cancel out signs: 8-3

Perform Subtraction: 5

the length of each side of a square is 3 inches more than the length of each side of a smaller square. the sum of the areas of the squares is 149 inches squared. find the length of the side of the smaller square.

Answers

The length of the side of the smaller square is 7 inches.

Let x be the length of the side of the smaller square.

The length of each side of a square is 3 inches more than the length of each side of a smaller square. Thus the length of the side of the larger square is

(x + 3) inches.

The area of the smaller square is

x^2 square inches.

The area of the larger square is

(x + 3)^2 square inches.

We can set up the equation:

x^2 + (x + 3)^2 = 149

Expanding and simplifying the equation gives:

x^2 + x^2 + 6x + 9 = 149

Combining like terms:

2x^2 + 6x - 140 = 0

Using the quadratic formula, we can solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a

x = (-6 ± √(6^2 - 4 * 2 * (-140))) / 2 * 2

x = (-6 ± √(36 + 1120)) / 4

x = (-6 ± √(1156)) / 4

x = (-6 ± √(596)) / 4

x = (-6 ± 34) / 4

x = -10 or x = 7

The side length of the smaller square can't be negative, so x = 7 inches.

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Consider the function f(x)

Consider the function f(x)

Answers

Answer:

Step-by-step explanation:

A few managers in the planning department think that the optimal policy changes its workforce level several times in a year because the physical capacity of the Stratford plant is too tight (Currently at 13,000 units per month). To mitigate such disruptive hiring/lay-off, a few managers and labor union insist that MacPherson invests $0.5M to increase the production capacity to 15,000 units per month. They argue that this one-time investment will pay itself off within one year with reduction in head-counts, new hires, and lay-offs. Do you agree?

Answers

MacPherson company is being faced with a situation of tight capacity at the Stratford plant which is currently at 13,000 units per month. There are two recommendations on how the company can mitigate the problem. The first recommendation is that the company should change its workforce level several times in a year while the second recommendation is that MacPherson invests $0.5M to increase the production capacity to 15,000 units per month. The labor union and some managers insist that the company should invest in increasing the production capacity instead of implementing the first option as it would lead to disruptive hiring and layoff.The recommendation to increase the production capacity to 15,000 units per month with a $0.5M investment will pay itself off within one year with the reduction in headcounts, new hires, and layoffs. Yes, I agree with the recommendation. Here is a detailed explanation:Investment in production capacity will reduce the per-unit cost of production which will allow the company to make more profits on each unit produced. With the increase in production capacity, the company will be able to produce more goods with the same amount of resources, and this will lead to a reduction in production costs. The reduction in production costs means that the company will be able to sell its goods at a lower price which will, in turn, increase demand for the products.With the increased demand for the product, the company will sell more and make more profits. The company will be able to meet the market demand for the product without any interruption which means there will be no need for hiring or layoffs. This reduction in hiring and layoffs will reduce the disruption that may be caused in the production process. The reduction in hiring and layoffs will also lead to a reduction in the cost of recruitment and training of new staff.The investment of $0.5M will pay for itself within one year because the reduction in the cost of production, hiring, and layoffs will offset the initial investment.

Which answer choice shows 1.234 rounded to the nearest tenth?
A. 1.2
B. 1.3
C. 1.23
D. 1.24

Answers

Answer:

A

Step-by-step explanation:

the answer is A which is 1.2

Scores on the SAT form a normal distribution with μ=500 and σ=100. What is the minimum score necessary to be in the top 10% of the SAT distribution?

Answers

The minimum score necessary to be in the top 10% of the SAT distribution is found to be 372.

To find the minimum score necessary to be in the top 10% of the SAT distribution, we need to determine the z-score associated with the 10th percentile and then convert it back to the original score using the mean and standard deviation.

First, we find the z-score corresponding to the 10th percentile using the standard normal distribution table or a statistical calculator. The 10th percentile corresponds to a z-score of approximately -1.28.

Next, we use the formula for z-score:

z = (x - μ) / σ

Rearranging the formula to solve for x (the minimum score), we have:

x = z * σ + μ

Plugging in the values, we get:

x = (-1.28) * 100 + 500

x = -128 + 500

x = 372

Therefore, the minimum score necessary to be in the top 10% of the SAT distribution is 372.

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the area of a parallelogram is 18 m2. if the height of the parallelogram is 3 m, what is the length of the base?

Answers

Answer:

6 m

Step-by-step explanation:

the formula for area of a parallelogram is A = b x h.

18 = b x 3

Divide 3 from both sides

B = 6 m

The length of the base is 6 m.

calculate the product 78.93 times 32.45

Answers

Answer:

2561.2785

Step-by-step explanation:

Answer:

2561.2785

Step-by-step explanation:

           7 8 9 3

×           3 2 4 5

+         3 9 4 6 5

+       3 1 5 7 2  

+     1 5 7 8 6    

+   2 3 6 7 9      

=  2 5 6 1 2 7 8 5

Hope this helps!!

adam, benin, chiang, deshawn, esther, and fiona have internet accounts. some, but not all, of them are internet friends with each other, and none of them has an internet friend outside this group. each of them has the same number of internet friends. in how many different ways can this happen?

Answers

(a) Therefore, the range of possible values for "x" is 1 to 5. (b) Summing up these values, we get 5 + 10 + 10 + 5 + 1 = 31.  Therefore, there are 31 different ways this can happen

To find the number of different ways this can happen, we can consider the number of internet friends each person can have. Since each person has the same number of internet friends, let's denote that number as "x". We can then create equations based on the given information:

1. Some, but not all, of them are internet friends with each other: This means that at least two people are internet friends with each other, but not everyone is friends with each other. This implies that the minimum number of internet friends any person can have is 1, and the maximum number is 5 (since there are 6 people in total).

Therefore, the range of possible values for "x" is 1 to 5.

2. None of them has an internet friend outside this group: This means that each person's internet friends must be within this group of 6 people. So, the number of internet friends each person can have is limited to the remaining 5 people.

To find the number of different ways this can happen, we need to sum up the possible values of "x" and calculate the corresponding combinations. For "x = 1", we choose 1 person out of 5 remaining people, giving us C(5, 1) = 5. For "x = 2", we choose 2 people out of 5 remaining people, giving us C(5, 2) = 10.

Similarly, for "x = 3", "x = 4", and "x = 5", we have C(5, 3) = 10, C(5, 4) = 5, and C(5, 5) = 1 respectively. Summing up these values, we get 5 + 10 + 10 + 5 + 1 = 31.

Therefore, there are 31 different ways this can happen

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what is the average lexile score for an 8th grader?

Answers

1400/up to 75th percentile

What’s all the factor pairs of 12

Answers

Answer: 1, 2, 3, 4, 6, 12

Answer:

\(1 \times 12 \\ 2 \times 6 \\ 3 \times 4 \\ 4 \times 3 \\ 6 \times 2 \\ 12\times1\)

hope this helps you.

~ Hi1315~

(1 point
4. On a scale drawing of a park, the sand box is 2 inches wide. The actual sand box is 8 feet wide.
What is the scale of the drawing?
1 in. = 4 ft
O 1 in = 6 ft
O4 in = 1 ft
04 in = 6 ft
Finish Cancel

Answers

Answer:

1 inch = 4 feet

Step-by-step explanation:

\(\frac{2 inches}{8 feet} = \frac{1 inch}{4 feet}\)

If we divide the given numbers by two (dividing on both sides keeps the equation true), we get 1 inch/4 feet. This tells us that on the scale, one inch is representative of four feet.

For every dollar Bennett spent on bagels, Dominic spent 25 cents less. Bennett
paid $12.50 more than Dominic. How much did they spend in the bagel store together?
(A) $37.50 (B) $50.00 (C) $87.50 (D) $90.00
(E) $92.50

Answers

Answer:

The answer is C:$87.50

Step-by-step explanation:

Ben - 1$

David - 0.75$

For each Bagel, Ben paid 0.25$ extra.

Then the total bagel Ben bought = 12.5/0.25 = 50 and the money spent = 50$

Then david spent = 3/4*50 = 37.5$

Total = 50+37.5 =$87.50

in a test of hypothesis the p-value was 0.24 . if the level of significance is 10 % . what is the potential type of statistical error ?

Answers

If the level of significance is 10 %, then the potential type of statistical error is type II error.

What is statical error?

The term "error" (also known as "statistical error") refers to the discrepancy between a value obtained through a data gathering procedure and the population's "actual" value. The data are less representative of the population the higher the inaccuracy.

In the given test,

The p-value = 0.24

Level of significance (a) = 0.10

Here,

0.24 > 0.10

P-value > level of significance

Therefore, We failed to reject the null hypothesis that is actually false

This is type II error,

The type II error occurs when one fails to reject a null hypothesis that is actually false itself.

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Subtract m+8 from 5m+11 (worth 10 points)

Answers

Answer:

4m + 3

Step-by-step explanation:

basically pretend the m isn’t there so do 5-1 then do 11-8

Can someone please help me with this?

Can someone please help me with this?

Answers

Answer:

C) 78%

Step-by-step explanation:

You can use process of elimination for this one. So first, obviously it wont be lower than the last test score which is at 65%, so you can mark off A and B. Then, if you notice the test scores fall right next to the big blue line, so find 9 hours, and then look all the way up to where it touches the line and you can see it is about a little less than 80%, which can mean that it obviously ain't D, so it is therefore C. I hope this helps :)

Exponents represent repeated:

A) Addition or subtraction

B) addition or multiplication

C) multiplication or division

D) division or subtraction

Answers

Answer:

C)multiplicación or división

using the p-value rule for a population proportion or mean, if the level of significance is less than the p-value, the null hypothesis is rejected. group startstrue or false

Answers

The given statement "Using p-value rule for a population proportion or mean, if the level of significance is less than p-value, null hypothesis is rejected." is True because the hypothesis is rejected in this case.

In hypothesis testing, the p-value is the probability of observing a test statistic as extreme as, or more extreme than, the observed test statistic, assuming that the null hypothesis is true. The level of significance, denoted by alpha, is the maximum probability of rejecting the null hypothesis when it is actually true.

If the p-value is less than the level of significance, it means that the observed test statistic is unlikely to have occurred by chance alone, assuming the null hypothesis is true. Therefore, we reject the null hypothesis in favor of the alternative hypothesis at the given level of significance.

For example, suppose we are testing the hypothesis that the population mean is equal to a certain value. If the p-value is 0.02 and the level of significance is 0.05, we would reject the null hypothesis because the p-value is less than the level of significance.

This means that there is strong evidence against the null hypothesis and we can conclude that the population mean is likely different from the hypothesized value.

In summary, if the level of significance is less than the p-value, we reject the null hypothesis in favor of the alternative hypothesis at the given level of significance.

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clients with a quickbooks online plus subscription can create 400 ungrouped tags and 1000 grouped tags distributed among up to 40 tag answer

Answers

Clients with a QuickBooks Online Plus subscription have the ability to create a total of 400 ungrouped tags and 1000 grouped tags, which can be distributed among up to 40 tag categories.

QuickBooks Online Plus offers users the flexibility to categorize transactions using tags. Tags are a way to organize and track transactions based on specific criteria or categories. There are two types of tags available: ungrouped tags and grouped tags.

With a QuickBooks Online Plus subscription, clients can create a maximum of 400 ungrouped tags. These tags can be assigned to individual transactions to provide additional information or categorization. Clients can create up to 40 tag categories and distribute the 1000 grouped tags among these categories.

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A pot contains 3/4 gallon of soup.A serving is 1/16 gallon.How many servings does the pot contain?

Answers

by taking the quotient between the volume in the pot and the volume of each serving, we conclude that there are 12 servings.

How many servings does the pot contain?

The number of servings is given by the quotient between the volume in the pot and the volume of each serving, so we have:

Volume in the pot = 3/4 gallon.Volume of each serving = 1/16 gallon.

N = (3/4)*/(1/16) = 12

So there are 12 servings in the pot.

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Help with this Math problem!

Answers

Answer:

what is the question which you are asking can you please tell

round 1021.857923 to 3 significant figures​

Answers

Answer:

Step-by-step explanation:

102

2
The stem-and-leaf diagram shows the
heights of the students in a class.
Heights of students
18 1
17 0 4 4
16
0 1
3
15
3778
14 9
13 4
6
7 8
6 7 8
Key 13 | 4 means 134 cm
a) Find three different averages and three
different measures of spread.
b) Which average and which measure of
spread would you use to represent this
dataset? Give reasons.

2The stem-and-leaf diagram shows theheights of the students in a class.Heights of students18 117 0 4

Answers

Svbeenufjfjdkwowkwnwnhee

Y=2x^2 help please have no idea

Answers

Answer:

Y=2X^4

Step-by-step explanation:

If this is wrong I'm sorry I just went off of what I remember

There are 2 violet balls and 4 pink balls in a bag.if two balls are drawn one after the other , then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?

Answers

Answer:

c

Step-by-step explanation:

The probability of getting violet first and pink next is \(\dfrac{2}{9}\).

Given:

The number of violet balls is 2.

The number of pink balls is 4.

To find:

The probability of getting violet first and pink next, if the first ball drawn is replaced.

Explanation:

We know that,

\(\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}\)

Total number of balls is:

\(2+4=6\)

The probability of getting violet a ball is \(\dfrac{2}{6}\).

The first ball drawn is replaced, then the total number of balls remains the same. Then the probability of getting a pink ball is \(\dfrac{4}{6}\).

The probability of getting violet first and pink next, if the first ball drawn is replaced is:

\(P=\dfrac{2}{6}\times \dfrac{4}{6}\)

\(P=\dfrac{1}{3}\times \dfrac{2}{3}\)

\(P=\dfrac{2}{9}\)

Therefore, the probability of getting violet first and pink next is \(\dfrac{2}{9}\).

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Rewrite as a simplified fraction.
3.2 = ?
(Repeating)

Answers

Answer:

Step-by-step explanation:

29/9 or 3 2/9

determine the equation of the circle graphed below

determine the equation of the circle graphed below

Answers

Answer:

The equation would be (x – 3)^2 + (y – 4)^2 = √26^2 or 26.

Step-by-step explanation:

Firstly, we need to find the radius of the circle. In this case, through the Pythagorean theorem, we can find it to be √(9-4)^2 + (4-3)^2 = √25 + 1 = √26.

Therefore, the equation of the circle would be (x – h)^2+ (y – k)^2 = r^2, where h and k are the x and y-coordinates of the center of the circle respectively, and r is the radius. Hence, the equation of this circle would be (x – 3)^2 + (y – 4)^2 = √26^2 or 26.

Hope this helped!

Answer:

(x - 3)² + (y - 4)² = 26

Step-by-step explanation:

Equation in standard form:

(x - h)² + (y - k)² = r²,

where (h, k) is the center and r- radius

On the graph we have (h, k) = (3, 4)

Find the r² using the distance formula:

r² = ( 4 - 3)² + (9 - 4)² = 1² + 5² = 26

The equation is:

(x - 3)² + (y - 4)² = 26
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