Look at the sequence below List the next three terms of the sequence-4 -8 -16 -32

According to the National Institute on Drug Abuse, a U.S. government agency, 17.3% of 8th graders in 2010 had used marijuana at

miskamm [114]

Answer:

The conditions for use of the normal model to represent the distribution of sample proportion are not met. He should increase the sample size until the conditions are met.

If the test is done anyway, the null hypothesis failed to be rejected.

The conclusion is taht there is not enough evidence to support the claim that the percentage is lower in this district.

Step-by-step explanation:

The conditions for use of the normal model to represent the distribution of sample proportion are not met, as the affirmative responses are less than 10.

$np=80*0.1=8$

If the test of hypothesis is done as if the conditiones were met, we know that the claim is that the percentage is lower in this district.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.173\\\\H_a:\pi$

The significance level is 0.05.

The sample has a size n=80.

The sample proportion is p=0.1.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.173*0.827}{80}}\\\\\\ \sigma_p=\sqrt{0.001788}=0.042$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.1-0.173+0.5/80}{0.042}=\dfrac{-0.067}{0.042}=-1.578$

This test is a left-tailed test, so the P-value for this test is calculated as:

$P-value=P(z$

As the P-value (0.057) is greater than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the percentage is lower in this district.

7 0

3 years ago

Highschool level trigonometry!!! Need help knowing step by step how to find answer!

Goshia [24]

Answer:

$\theta \approx 82.34^\circ$

Step-by-step explanation:

Please refer to the attached diagram. (Apologies if the shading or resolution is a bit off.)

So, we want to find θ.

Since we formed a right triangle, we can use right triangle ratios.

We know the measure of the adjacent side to θ and the hypotenuse.

Therefore, we will use the cosine ratio:

$\displaystyle \cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}$

The adjacent side is 2 and the hypotenuse is 15. By substitution:

$\displaystyle \cos(\theta)=\frac{2}{15}$

Now, we will take the inverse cosine of both sides. So:

$\displaystyle \theta=\cos^{-1}\Big(\frac{2}{15}\Big)$

Use a calculator. Hence:

$\theta \approx 82.34^\circ$

The angle between the ground and the ladder is about 82.34°.

5 0

3 years ago

Pulease helpp

Bas_tet [7]

Answer:

A

Step-by-step explanation:

using formula

area of triangle=1/2 × AB×AC×sinA

WHERE AB=10 andAC=15 and sinA=37○

7 0

3 years ago

Read 2 more answers

4×+5y=20<br><img src="https://tex.z-dn.net/?f=4%20%5Ctimes%20%20%2B%205y%20%3D%2020" id="TexFormula1" title="4 \times + 5y = 20

aksik [14]

4+5y=20
-4 -4
------------------
5y=16
Divide by 5 on both sides

y=3.2
I hope this is what u wanted. :)

8 0

3 years ago

If a cylinder holds a volume of 100 cm3, and is 30 cm tall, which is the area of the bottom of the cylinder?

Vesna [10]

=πr2h

Area of circle
=πr2

=V/h
=100/30
≈3.33cm

4 0

3 years ago