The number of bagels sold daily for two bakeries is shown in the table. Bakery A Bakery B 15 15 52 16 51 34 33 35 57 12 12 9 45 36 46 17 Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Why? Select the correct answer below. Mean, because there are no outliers to affect the data Mean, because the distribution is symmetric for both bakeries Median, because there are outliers that affect both data sets Median, because the distribution for both bakeries is not symmetric

Answers

Answer 1
Answer: Bakery A Bakery B
15                 15
52                 16
51                 34
33                 35
57                 12
12                  9
45                36
46                17

Bakery A : mean = 38.875 median = 45.50 ; no outliers
Bakery B : mean = 21.75 median = 16.5 ; no outliers

Mean, because there are no outliers to affect the data


Answer 2
Answer:

Answer:

Median, because the presence of an outlier affects the data

Step-by-step explanation:


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The table below shows the velocity y, in miles per minute, of a toy car at different times x, in minutes:Time (x)
(minutes) 10 20 30 40
Velocity (y)
(miles) 0.2 0.8 0.1 0.4

Part B: What is the value of the slope of the graph of velocity versus time between 10 minutes and 20 minutes, and what does the slope represent? (3 points)

Answers

The value of the slope of the graph of the velocity versus time between 10 minutes and 20 minutes would be .06. I got to this answer by getting the changes in the rise (y) over run (x) of the table:

slope = y2- y1 / x2-x1
= .8-.2 / 20-10 mi / min
= .6 / 10 min
= .06 

Then for the follow up question, the slope represents the distance traveled of the toy car (in miles). 


Compare the functions shown below:f(x) = x3 + 2x2 − 4x − 3
g(x)

polynomial graph with x intercepts at negative 2, negative 1, 1, 3, y intercept at 6
h(x)

trig graph with points at 0, 3 and pi over 2, 0 and pi, negative 3 and 3 pi over 2, 0 and 2 pi, 3
Over the interval x = 0 to x = 2π


Which function has the most x-intercepts?

Answers

The function f(x) = x^3 + 2x^2 - 4x - 3 is a polynomial function of degree 3 and hence will have three solutions and hence 3 x-intercepts. The function g(x) has x-intercepts at x = -2, x = -1, x = 1 and x = 3. Hence function g(x) has 4 x-intercepts. The function h(x) has x-intercepts at points (pi over 2, 0) and (3 pi over 2, 0). Hence function h(x) has 2 x-intercepts. Therefore, the function with the most x-intercepts is function g(x) with 4 x-intercepts.

f(x) has at most 3 x-intercepts and g(x) has 4, so g(x) has more x-intercepts.

Which function has more x-intercepts?

Remember that for a polynomial p(x) of degree N, the maximum number of x-intercepts that the polynomial can have is N.

In this case, the functions are:

f(x) = x^3 + 2x^2 - 4x - 3

So the degree of f(x) is 3, so it has at maximum 3 x-intercepts.

The other function g(x) has the x-intercepts:

x = -2, x = -1, x = 1, x = 3

So it has 4 x-intercepts.

Then we can conclude that g(x) has more x-intercepts.

If you want to learn more about polynomials:

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The director of marketing at a large company wants to determine if the amount of money spent on internet marketing is a good predictor of company profit. She fits a least-squares regression line to 20 months of data and computes the following regression line:Profit = 372.6 + 17.2(advertising dollars)

What is the value of the residual for advertising dollars spent equal to $1,020 and Profit equal to $17,500? Round to the nearest integer.

Answers

Given:
Profit = 17,500
advertising dollar = 1,020

regression line:

Profit = 372.60 + 17.2(advertising dollar)
17,500 = 372.60 + 17.2(1020)
17,500 = 372.60 + 17,544
17,500 = 17,916.60

There is a residual value of 416.60. 

17,916.60 - 17,500 = 416.60

There are two fruit trees located at (3,0) and (−3, 0) in the backyard plan. Maurice wants to use these two fruit trees as the focal points for an elliptical flowerbed. Johanna wants to use these two fruit trees as the focal points for some hyperbolic flowerbeds. Create the location of two vertices on the y-axis. Show your work creating the equations for both the horizontal ellipse and the horizontal hyperbola. Include the graph of both equations and the focal points on the same coordinate plane.

Answers

see the attachments for detailed solution

Bob and Mark talk about their families. Bob says he has 3 kids, the product of their ages is 72. He gives another clue: the sum of the ages of his children. Mark points out that there is still not enough information to accurately guess. Finally, Bob says, "My youngest child called Justice." Mark can then correctly determine the ages of Bob's children. What are the ages?

Answers

The first clue to this problem is that Bob has three kids in which the product of their ages is 72 and the sum is 14. From the factor tree, there  are two combinations of the ages  2, 6, 6 and  3,3,8. Last thing he said is that his youngest is named Justice. One combination has similar number in the set which means there are twins. The youngest means there can be only one child. Hence the ages of the children are 2,6,and 6.         

Quadrilateral with 2 pairs of equal sides and 2 pairs of opposite angles that are equal is ________

Answers

Answer: Parallelogram.
Explanation: A simple quadrilateral with two pairs of equal opposite angles is a parallelogram. (Because then the opposite sides are parallel.) A simple quadrilateral with two pairs of equal opposite sides is a parallelogram.