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valentina_108 [34]
3 years ago
15

I spent 25 Points, PLEASE HELP! In a graph, x represents the number of months since a business opened, and y represents the tota

l amount of money the business has earned. The following three points are from the graph:
(2, 1990)  (5, 4225)  (9, 7205)

Find the slope and y-intercept. Explain what each represents.
Mathematics
2 answers:
uysha [10]3 years ago
8 0

The slope of this scenario is 745. The slope represents the profit made each month.

vlada-n [284]3 years ago
3 0
First find the slope.  m=(y2-y1)/(x2-x1)

m=(4225-1990)/(5-2)=745,

m is the slope, this represents the amount of money earned each month that the business operates.

so far we have:

y=745x+b, using any point we can solve for b, I'll use (2,1990)

1990=745(2)+b

1990=1490+b

500=b

b is the y-intercept which is $500, it represents the amount of moeny that the business started with.


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(50. 3802, 51.6198)

Step-by-step explanation:

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The initial statement is that the mean temperature throughout history is 50°

This is the null hypothesis and it is denoted as H'

H': u = 50.

After taking a sample of 40 years, we realized that the mean temperature is 51°.

This is the alternative hypothesis, in contradiction to the alternative.

The alternative hypothesis is denoted as H1

H1: u > 50 ( upper tailed).

Sample size (n) = 40

Sample mean (x) = 51

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We use a z test to get the value of the test statistics.

We are using a z test because sample size is greater than 30 ( n = 40) and population standard deviation is given.

Z score = x - u/ (σ/√n)

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Z score = 1 / 0.3162

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B)

We are to construct a 95% confidence interval for population mean temperature.

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u = x + Zα/2 ×(σ/√n)

Where Zα/2 = 1.96 which is the critical value for a two tailed test at 5% level of significance.

For upper limit, we have that

u = 51 + 1.96 × (2/√40)

u = 51 + 1.96 (0.3162)

u = 51 + 0.6198

u = 51.6198.

For lower limit, we have that

u = 51 - 1.96 × (2/√40)

u = 51 - 1.96 (0.3162)

u = 51 - 0.6198

u = 50. 3802.

Hence the 95% confidence level for mean temperature is given as (50. 3802°, 51.6198°)

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3 years ago
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