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3 years ago

Solve for m: x - 1/3 = 2/7

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

4 0

x-1/3 = 2/7
=>x-0.33 = 0.2857
=>x-0.33+0.33=0.2857+0.33
=>x = 0.6157

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A sociologist wishes to estimate the percentage of the United States population living in poverty. What size sample should be ob

andriy [413]

Answer:

a) We need a sample size of at least 705.

b) We need a sample size of at least 1692.

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 $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

a) If she uses 1999 estimate of 11.8% obtained from the Current Population Survey.

We need a sample of size at least n

n is found when $M = 0.02, \pi = 0.118$ .

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

$0.02 = 1.645\sqrt{\frac{0.118*0.882}{n}}$

$0.02\sqrt{n} = 1.645\sqrt{0.118*0.882}$

$\sqrt{n} = \frac{1.645\sqrt{0.118*0.882}}{0.02}$

$(\sqrt{n})^{2} = (\frac{1.645\sqrt{0.118*0.882}}{0.02})^{2}$

$n = 704.08$

Rounding up

We need a sample size of at least 705.

b) She does not use any estimate.

Same thing as above, we just use $\pi = 0.5$ when do not use any estimate.

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

$0.02 = 1.645\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.645\sqrt{0.5*0.5}$

$\sqrt{n} = \frac{1.645\sqrt{0.5*0.5}}{0.02}$

$(\sqrt{n})^{2} = (\frac{1.645\sqrt{0.5*0.5}}{0.02})^{2}$

$n = 1691.2$

Rounding up

We need a sample size of at least 1692.

4 0

3 years ago

Solve for x and show all work thanks:)

VladimirAG [237]

Answer:

x = -6

Step-by-step explanation:

The triangle in the picture is an isoceles triangle in which the measure of top vertex angle is given and one of the base angles is also given.

According to angle sum property of triangle , sum of measure of all the angles of traingle is 180°. Also, in isosceles triangle , the base angles are always equal to each other .

So,

$34 + (x + 79) + (x + 79) = 180$

$= > 2x + 158 + 34 = 180$

$= > 2x +192 = 180$

$= > 2x = 18 0 - 192 = - 12$

$= > x = \frac{12}{ - 2} = - 6$

3 0

3 years ago

What is the area of a triangle with a base of 2 5/8 mm and a height of 10 mm?

MrRissso [65]

Answer:

b looks like the more reziable awnser

Step-by-step explanation:

5 0

3 years ago

Determine whether the function below is an even function, an odd function, both, or neither.

Ad libitum [116K]

A function is even if, for each x in the domain of f, f (- x) = f (x). The even functions have reflective symmetry through the y-axis. A function is odd if, for each x in the domain of f, f (- x) = - f (x). The odd functions have rotational symmetry of 180º with respect to the origin.
f (x) = (x + 5) ^ 2
f (x) = x ^ 2 + 10x + 25
f (-x) = (-x + 5) ^ 2
f (x) = x ^ 2 - 10x + 25
the function does not comply with the definitions.
The function is NOT even
The function is not odd
answer
neither

4 0

3 years ago

Read 2 more answers

Simplify 4^9/4^3<br> can someone help me with this?

zaharov [31]

Answer:

4096

Step-by-step explanation:

Need to know how you got it? Comment on this answer.

4 0

3 years ago