The longer leg of a right triangle is 17 cm longer than the length of the shorter leg x. The hypotenuse is 25 cm.

jill measured the length of her eraser. She wrote 5 on her paper without the unit. Which metric unit of measure should Jill incl

choli [55]

Its either centimeters or inches.
I prefer centimeters

7 0

3 years ago

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

2 years ago

How to evaluate the expression

jasenka [17]

Answer:

1

Step-by-step explanation:

$4^{5}$ can be expressed as $2^{(2)(5)}$ = $2^{10}$

Similarly $4^{8}$ can be expressed as $2^{(2)(8)}$ = $2^{16}$

Numerator becomes:

$2^{10}$ · $-2^{9}$ = $-2^{19}$

Denominator becomes:

$2^{16}$ · $-2^{3}$ = $-2^{19}$

Since numerator = Denominator,

Answer = 1

Edit reason: typo

4 0

2 years ago

1/2 of 3oz, 3/4 of 3oz and 1/3 of 2oz, how many ounces of food was consumed

Alex Ar [27]

4.42 ounces of food was consumed. 1/2 of 3 oz equals 1.5 oz, 3/4 of 3 oz equals 2.25 oz and 1/3 of 2 oz equals .67 and when you add those up you get 4.42.

3 0

2 years ago

Which of the following rational number between 3/7 and 7/8 ?

Charra [1.4K]

Answer:

Step-by-step explanation:

There are two ways to do this. You could use your calculator to find out the decimal numbers that are equivalent to the two given fractions. Then check which one of the givens falls between these two numbers. I wouldn't do it that way -- not when you are told that the answer has 56 as the denominator. So ...

The best way to do it is to change the two givens so that they have a denominator of 56

3/7 = 3*8/7*8 = 24 / 56

7*7 / 7*8 = 49 / 46

So you need a number that is between 49 and 24

There is only one 27 / 56

6 0

2 years ago