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DanielleElmas [232]
3 years ago
15

Which expression is equivalent to 4(6x + 2) - 5(2x - 1)?

Mathematics
1 answer:
Alecsey [184]3 years ago
3 0

Answer:

24x+8+−10x+5

Step-by-step explanation:

Do distributive property.

4*6x=24x

4*2=8

5*2x=10x

5*-1=-5

So 24x+8+−10x+5 is your answer.

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A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet
brilliants [131]

Answer:

There is not enough evidence to support the claim that the liquid diet yields a higher mean weight loss than the powder diet (P-value = 0.15).

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that the liquid diet yields a higher mean weight loss than the powder diet.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2< 0

The significance level is 0.05.

The sample 1 (powder diet group), of size n1=49 has a mean of 42 and a standard deviation of 12.

The sample 2 (liquid diet group), of size n2=36 has a mean of 45 and a standard deviation of 14.

The difference between sample means is Md=-3.

M_d=M_1-M_2=42-45=-3

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{12^2}{49}+\dfrac{14^2}{36}}\\\\\\s_{M_d}=\sqrt{2.939+5.444}=\sqrt{8.383}=2.895

Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{-3-0}{2.895}=\dfrac{-3}{2.895}=-1.04

The degrees of freedom for this test are:

df=n_1+n_2-1=49+36-2=83

This test is a left-tailed test, with 83 degrees of freedom and t=-1.04, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t

As the P-value (0.15) 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 liquid diet yields a higher mean weight loss than the powder diet.

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Answer:

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Step-by-step explanation:

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2 years ago
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c

Step-by-step explanation:

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3 years ago
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Please help me with this question.​
Sav [38]

Answer:

-2; -7

Step-by-step explanation:

Hello, the graph is split in two lines, right?

Go to the first line at the left and move to the right until you reach the end of the line, which is for x = -1,

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Find the value of the following expression 100 - 2(x + 5) when x = 10 *
Ede4ka [16]

Answer:

70

Step-by-step explanation:

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2 years ago
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