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2 years ago

Slope intercept form of (-5,0) and (-4,4)

1 answer:

3 0

First figure out the slope given the 2 points.
Then use y-y1=m(x-x1) point slope form
Distribute to turn this into slope intercept form
y=4x+20

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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

2 years ago

The house was bought for $ 500 and sold for $ 700 what percentage profit did they gain?

jonny [76]

Answer: 40%

Step-by-step explanation:

700 - 500 = 200

200 / 500 = 40%

6 0

3 years ago

At the county fair, the Baxter family bought 6 hot dogs and 4 juice drinks for $16.70. The Farley family bought 3 hot dogs and 4

Lana71 [14]

Answer: H- hot dogs

J- juice box

6h+4j=16.70

3h+4j=10.85

Elimination:

-6h-4j=-16.70

3h+4j=10.85

-3h=-5.85

H= 1.95

3(1.95)+4j=10.85

5.85+4j=10.85

4j=5

J=1.25

1.95 dollars for a hotdog and 1.25 dollars for a juice box

Step-by-step explanation:

3 0

2 years ago

The least number that is a multiple of two or more are whole numbers is?

irinina [24]

The least common multiple or LCM

4 0

2 years ago

Some one please help me with this question

pychu [463]

The answer is C because you do PEMDAS and then add the 5 from the other side

5 0

2 years ago