Help please I give 15 points

First 4 terms for 5 - 2n

vlabodo [156]

Answer:

3 , 1 , -1 , -3

Step-by-step explanation:

5 - 2n

n = 1 ; 5 - 2n = 5 - 2*1 = 5 - 2 = 3

n = 2; 5 - 2n = 5 - 2*2 = 5 - 4 = 1

n = 3; 5 - 2n = 5 - 2*3 = 5 - 6 = -1

n = 4; 5 -2n = 5 - 2*4 = 5 - 8 = -3

First 4 terms are : 3 , 1 , -1 , -3

6 0

3 years ago

On a map, the scale shown is 1 inch: 20 miles. If a city is 900 square miles, what is the area of the city on the map?

WITCHER [35]

Answer:

2.25 square inches

Step-by-step explanation:

we know that

The scale is $1\ inch: 20\ miles$

That means

1 inch on a map represent 20 miles in the city

so

An area of $(1)(1)=1\ in^2$ on a map represent an area of $(20)(20)=400\ mi^2$ in the city

Applying proportion

$\frac{1}{400}\ \frac{in^2}{mi^2}=\frac{x}{900}\ \frac{in^2}{mi^2}\\\\x=900/400\\\\x=2.25\ in^2$

3 0

3 years ago

20 is 1/10 (one tenth) of what number?

NARA [144]

Answer:

20 is 1/10 of 200.

Step-by-step explanation:

100*(1/10) = 10

200*(1/10) = 20

Since 100 times 1/10 is 10, all you have to do is double it. So now, 200 times 1/10 is 20.

:) Hope this helps!

4 0

3 years ago

A scientist is determining how fast a weed grows. Every two days the scientist measures the height of the weed. How tall will th

HACTEHA [7]

Answer:

d.

Step-by-step explanation:

8 0

3 years ago

In a simple random sample of 14001400 young people, 9090% had earned a high school diploma. Complete parts a through d below.

ratelena [41]

Answer:

(a) The standard error is 0.0080.

(b) The margin of error is 1.6%.

(c) The 95% confidence interval for the percentage of all young people who earned a high school diploma is (88.4%, 91.6%).

(d) The percentage of young people who earn high school diplomas has increased.

Step-by-step explanation:

Let p = proportion of young people who had earned a high school diploma.

A sample of n = 1400 young people are selected.

The sample proportion of young people who had earned a high school diploma is:

$\hat p=0.90$

(a)

The standard error for the estimate of the percentage of all young people who earned a high school diploma is given by:

$SE_{\hat p}=\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Compute the standard error value as follows:

$SE_{\hat p}=\sqrt{\frac{\hat p(1-\hat p)}{n}}$

$=\sqrt{\frac{0.90(1-0.90)}{1400}}\\$

$=0.008$

Thus, the standard error for the estimate of the percentage of all young people who earned a high school diploma is 0.0080.

(b)

The margin of error for (1 - α)% confidence interval for population proportion is:

$MOE=z_{\alpha/2}\times SE_{\hat p}$

Compute the critical value of z for 95% confidence level as follows:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the margin of error as follows:

$MOE=z_{\alpha/2}\times SE_{\hat p}$

$=1.96\times 0.0080\\=0.01568\\\approx1.6\%$

Thus, the margin of error is 1.6%.

(c)

Compute the 95% confidence interval for population proportion as follows:

$CI=\hat p\pm MOE\\=0.90\pm 0.016\\=(0.884, 0.916)\\\approx (88.4\%,\ 91.6\%)$

Thus, the 95% confidence interval for the percentage of all young people who earned a high school diploma is (88.4%, 91.6%).

(d)

To test whether the percentage of young people who earn high school diplomas has increased, the hypothesis is defined as:

H₀: The percentage of young people who earn high school diplomas has not increased, i.e. p = 0.80.

Hₐ: The percentage of young people who earn high school diplomas has not increased, i.e. p > 0.80.

Decision rule:

If the 95% confidence interval for proportions consists the null value, i.e. 0.80, then the null hypothesis will not be rejected and vice-versa.

The 95% confidence interval for the percentage of all young people who earned a high school diploma is (88.4%, 91.6%).

The confidence interval does not consist the null value of p, i.e. 0.80.

Thus, the null hypothesis is rejected.

Hence, it can be concluded that the percentage of young people who earn high school diplomas has increased.

8 0

3 years ago