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DIA [1.3K]
3 years ago
14

The fourth graders at Good Cheer Elementary School collected 500 cans of food to donate to groups in need. if they choose 3 diff

erent groups to donate the food to, about how many cans will each group receive?
Mathematics
1 answer:
mariarad [96]3 years ago
8 0
Eavh group would recieve about 170 cans
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Solve using the quadratic formula:20\x+10\(x-10)=10\3
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Answer : x= 15 , 4

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Lin and Tyler are drawing circles. Tyler’s circle has twice the diameter of lins circle. Tyler thinks that his circle will have
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No

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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.

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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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The layer of gold coating on a ring should be 0.03 millimeters thick when the ring is completed. A coating of 0.021 millimeters
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The amount of gold coating in millimeters needed for the ring is the difference between the total coating and the coating that has already been applied. From the given above, that would be,
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