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3 years ago

Find the slope of the line that passes through (10, 7) and (1,8).

Mathematics

2 answers:

White raven [17]3 years ago

5 0

Answer:

The slope is: -1/9

umka21 [38]3 years ago

3 0

Answer:

-1/9

Step-by-step explanation:

You have 2 points, (x1, y1) and (x2, y2). To find slope, do (y2-y1)/(x2-x1)

(10, 7) and (1, 8)

slope is

(8 - 7)/(1 - 10)

= 1/-9

= -1/9

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Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the proporti

hodyreva [135]

Answer:

The sample size n = 4225

Step-by-step explanation:

We will use maximum error formula = $\frac{z_{a} S.D}{\sqrt{n} }$

but we will find sample size "n"

$\sqrt{n} = \frac{z_{a} S.D}{maximum error}$

Squaring on both sides , we get

$n = (\frac{z_{a} S.D}{maximum error})^2$

Given 99% confidence interval (z value) = 2.56

given maximum error = 0.02

$n = (\frac{z_{a} p(1-p)}{maximum error})^2$

n≤ $(\frac{2.56X\frac{1}{2} }{0.02}) ^{2}$ ( here S.D = p(1-p) ≤ 1/2

on simplification , we get n = 4225

<u>Conclusion</u>:

The sample size of two samples is n = 4225

<u>verification</u>:-

We will use maximum error formula = $\frac{z_{a} S.D}{\sqrt{n} }$ = $\frac{2.56 1/2}{\ \sqrt{4225} }$ = 0.0196

substitute all values and simplify we get maximum error is 0.02

4 0

3 years ago

If a circle has a diameter of 91 units how many units is the radius

deff fn [24]

Answer:

r =45.5 units

Step-by-step explanation:

The diameter is twice the radius, or the radius is 1/2 the diameter

r = d/2

r = 91/2

r =45.5 units

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