Let's start with what we know:
Mary needs at least $50 to pay back her parents
Currently, she has $10, $12, and $25 in her possession. Let's add those values together and see if they equal $50 or more:

10 + 12 + 25
22 + 25 = $47

Since she only has $47, she needs $3 more to pay back her parents.

7 0

3 years ago

The graph shows a line of best fit because the points are plotted evenly above and below the line.

stepladder [879]

It should be A: the points are plotted evenly above and below

3 0

3 years ago

You run 4 miles in 1 hour. At this rate, how long will it take you to run 22 miles?

Evgen [1.6K]

4 miles in 1 hour.

1 mile will be covered in (1/4) hour.

22 miles will then be covered in: 22 * 1/4 = 11/2 = 5.5

22 miles will be covered in 5.5 hours.

8 0

4 years ago

The estimate of the population proportion should be within plus or minus 0.02, with a 90% level of confidence. The best estimate

Rudiy27

Answer:

The sample size required is 910.

Step-by-step explanation:

The confidence interval for population proportion is:

$CI=\hat p\pm z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }$

The margin of error is:

$MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }$

Given:

$\hat p = 0.16\\MOE= 0.02\\Confidence\ level =0.90$

The critical value of <em>z</em> for 90% confidence level is:

$z_{\alpha /2}=z_{0.10/2}=z_{0.05}=1.645$ *Use a standard normal table.

Compute the sample size required as follows:

$MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }\\0.02=1.645\times \sqrt{\frac{0.16(1-0.16)}{n} }\\n=\frac{(1.645)^{2}\times 0.16\times (1-0.16)}{(0.02)^{2}} \\=909.2244\\\approx910$

Thus, the sample size required is 910.

5 0

4 years ago