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jok3333 [9.3K]
3 years ago
8

PLEASE HELP ME Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions,

or no solutions.
(c) 3x + 4x - 8 = 24 + 6x
(d) 15 – 3x = -2x + 10 + 5 - x
(e) 6x + 14 + 2 = 3x – 20 + 3x +10
Mathematics
1 answer:
Pepsi [2]3 years ago
7 0

Answer:

Step-by-step explanation:

c: x=32

d: all real numbers are solution

e: there are no solutions

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distributive because you are distributing the outside number into the parentheses

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Heyy Answer please and explain
ludmilkaskok [199]

Answer: V=37.5 cm³

Step-by-step explanation:

Formula

V=(πr²h)/3

Given

r=5/2=2.5 cm

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V=(π(2.5)²(6))/3

V=(π(6.25)(6))/3

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V=37.5(3)/3

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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.

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The full set is {0,1,2,3,4,5,6,7,8,9}.

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We know that 11,13,17 and 19 are all primes, so we cannot eliminate any more of these, leaving the set:

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