What is the area of a right triangle 5 centimeters high with the base of 3 centimeters?

Mathematics

1 answer:

Basile [38]3 years ago

7 0

Answer:

A. 7.5 square cm

Step-by-step explanation:

Area of a triangle is one half base times height. 5 divided by 2 is 2.5. 2.5 times 3 is 7.5.

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A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for governor. Construct the 98%

Luden [163]

Answer:

a) z = 2.327

b) The margin of error is of 0.065.

c) The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 300, \pi = \frac{112}{300} = 0.3733$

a) 98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $z = 2.327$ is the critical value.

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

So, applying to this question:

$M = 2.327\sqrt{\frac{0.3733(1-0.3733)}{300}} = 0.065$

The margin of error is of 0.065.

c) Find confidence interval for the problem.

$\pi - M = 0.3733 - 0.065 = 0.3083$

$\pi + M = 0.3733 + 0.065 = 0.4383$

The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).

3 0

3 years ago

This relation is an inverse variation {(-1,8),(4,-2),(-2,4)} what equation represents this relation?

swat32

ANSWER

$y = - \frac{8}{x}$