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3 years ago

Solve the equation. m2 = 43

Mathematics

2 answers:

Leto [7]3 years ago

6 0

Answer:m=21.5

Step-by-step explanation:

Mandarinka [93]3 years ago

5 0

Is that 2m=43 or m^2=43??

If 2m=43 then...

m=43/2

m=21.5

If m^2=43 then...

m=√43

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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

find three consecutive odd integers such that the square of the first plus the square of the third is 170

scZoUnD [109]

Here is the set up:

x
x + 2
x + 4

x^2 + (x + 2) + (x + 4)^2 = 170

Take it from here.

4 0

4 years ago

What is 7 (1+10p) + 8 (1 + 6p)

Komok [63]

Answer:

58p+15

Step-by-step explanation:

First, we want to get rid of the parentheses in the equation. To do that, let's start with 7(1+10p). We multiply 7 by each item in the parenthesis, and get 7+70p. Keep that little thing in mind, we will use it later. Next, same process with the other part, and we get 8+48p. We multiplied both parts out, so now we just add like terms. 7 and 8 don't have letters, so we add them to get 15. 10p and 48p do have letters, so we add those together and get 58p. We can't add that to the other numbers, because 58p is 58 times p, and 15 doesn't have that p so it wouldn't work without knowing p. What we are left with, by simplifying the problem, is 58p+15, or 15+58p. The order doesn't matter, as long as you have that answer.

6 0

4 years ago

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Directions for constructing. Orthocenter of a triangle

ioda

Answer:

Step-by-step explanation: