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2 years ago

Find the equation of the line passing through the points (5,21) and (-5,-29)

Mathematics

1 answer:

Assoli18 [71]2 years ago

3 0

Answer:

Look below

Step-by-step explanation:

lets have -29 be y2 and -5 be x2

21 - (-)29

5 - (-)5

Subtracting a negative is just adding it so

21 + 29 50
5 + 5 10

50/10

this simplified, is 5/1 or 5

y=5x+b

now we need to find b, so we substitute y and y

x = 5

y = 21

21=5*5=b

5*5 is 25

now we need to get to 21

25 -4 is 21

b = -4

y=5x-4

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In a sample of 1000 randomly, selected consumers who had opportunities to send in a rebate claim form after purchasing a product

Alexxx [7]

Answer: $=(0.2232,0.2768)$

Step-by-step explanation:

The confidence interval for population proportion is given by :-

$p\ \pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}$

Given : Sample size : $n=1000$

The proportion of people selected consumers who had opportunities to send in a rebate claim form after purchasing a product said they never did so = $\dfrac{250}{1000}=0.25$

Significance level : $1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.96$

Now, the 95% confidence Interval for the true proportion of such consumers who never apply for a rebate will be :-

$0.25\ \pm (1.96)\sqrt{\dfrac{0.25(1-0.25)}{1000}}\\\\\approx0.25\pm0.0268\\\\=(0.2232,\ 0.2768)$

Hence, a confidence Interval for the true proportion of such consumers who never apply for a rebate .

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