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Burka [1]
3 years ago
10

Mike wants to fence in part of his backyard. He wants the length of the fenced-in area to be at least 20 feet long, l ≥ 20. He h

as 200 feet of fencing. The inequality that models the possible perimeter of the yard is 2l + 2w ≤ 200.
Which are possible dimensions for Mike’s backyard? Check all that apply.
Mathematics
1 answer:
quester [9]3 years ago
5 0
W = 10 ft; l = 50 ft is Correct

w = 90 ft; l = 30 ft is Correct

w = 50 ft; l = 40 ft is Correct
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Plot the following points on the graph paper:
mote1985 [20]

Answer:

check the screenshot I attached:

6 0
2 years ago
Suppose Burger King has run a major advertising campaign in the hopes of increasing monthly sales. To investigate the effectiven
Alexxandr [17]

Answer:

The right answer is:

a.H0: μd = 0; H1: μd > 0

Step-by-step explanation:

The claim that want to be tested is that the sales were significantly increased after the commercial, indicanting that the advertisement campaign was effective.

This claim is usually expressed in the alternative hypothesis as it has to have enough evidence to prove that it is true.

Then, the alternative hypothesis H1 should state that the difference (sales after - sales before) is higher than 0.

The null hypothesis would state that the difference is not significantly different from 0, or, in other words, that the sales are the same before and after and that the variation is due to pure chance.

Then, the null hypothesis H0 would state that the difference is equal to 0.

The right answer is:

a.H0: μd = 0; H1: μd > 0

4 0
3 years ago
Make a conjecture about the sum of the first 15 positive even number
erica [24]
I conclude that the sum will be even because any even number can be represented by 2n where n is a whole number
and even numbers are 2 apart, so
the sum of the first 15 are
2n+2(n+1)+2(n+2) etc until we get to 2(n+14)
we can undistribute the 2 from all of them and get
2(n+n+1+n+2...n+14)
and we are sure that whatever is in the parenthasees is a whole number because whole+whole=whole
therefor, the sum is even

if you did want to find the sum then
an=2n
the 15th even number is 30
the first is 2
S15=15(2+30)/2=15(32)/2=15(16)=240
which is even
6 0
3 years ago
The production department of Celltronics International wants to explore the relationship between the number of employees who ass
Flura [38]

Answer:

(a) Shown below

(b) There is a positive relation between the number of assemblers and production.

(c) The correlation coefficient is 0.9272.

Step-by-step explanation:

Let <em>X</em> = number of assemblers and <em>Y</em> = number of units produced in an hour.

(a)

Consider the scatter plot below.

(b)

Based on the scatter plot it can be concluded that there is a positive relationship between the variables <em>X</em> and <em>Y</em>, i.e. as the value of <em>X</em> increases <em>Y</em> also increases.

(c)

The formula to compute the correlation coefficient is:

r=\frac{n\sum XY-\sum X\sum Y}{\sqrt{[n\sum X^{2}-(\sum X)^{2}][n\sum Y^{2}-(\sum Y)^{2}]}} }

Compute the correlation coefficient between <em>X</em> and <em>Y</em> as follows:

r=\frac{n\sum XY-\sum X\sum Y}{\sqrt{[n\sum X^{2}-(\sum X)^{2}][n\sum Y^{2}-(\sum Y)^{2}]}} }=\frac{(5\times430)-(15\times120)}{\sqrt{[(5\times55)-15^{2}][(5\times3450)-120^{2}]}} =0.9272

Thus, the correlation coefficient is 0.9272.

7 0
3 years ago
Find the range of the graphed function
Illusion [34]

Answer:

Correct choice is A

Step-by-step explanation:

The range of the function are all possible values which variable y can take.

From the given diagram you can see that the variable x changes from -4 to the 9. So the domain of the function is -4\le x\le 9.

Also the variable y takes its values from -4 to 8. Thus, the range is -4\le y\le 8.

4 0
3 years ago
Read 2 more answers
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