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Murljashka [212]
3 years ago
11

Fred takes 3 hours to dig a garden. It takes Jason 5 hours to

Mathematics
1 answer:
Irina18 [472]3 years ago
7 0
It takes them 1 7/8 hrs to complete the job together.

How:
Fred = 3 hrs
Jason = 5 hrs

1/3x + 1/5x = 1/x

3x x 5x = 15 —> 3x/15 + 5x/15 = 15/15

3x + 5x = 8x —> 8x/15 = 1.875 = 1 7/8 hrs
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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
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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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3 years ago
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2 years ago
What is the estimated sum? Round each addend to the nearest thousand before adding. 75,364 + 472,756 . A. 550,000 B. 548,000 C.
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Hey!

We can round 75,364 to 75,000 and 472,756 to 473,000


75,000 + 473,000 = 548,000

So, the answer is B. 548,000 =)
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This is a continuous set of points in the coordinate plane. It can be, but is not always, straight.
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Linear. While all linear equations produce straight lines when graphed, not all linear equations produce linear functions. In order to be a linear function, a graph must be both linear (a straight line) and a function (matching each x-value to only one y-value).

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