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2 years ago

GCF of 28,42,and 56. Please show work

Mathematics

1 answer:

natta225 [31]2 years ago

4 0

<h2>Answer: 14</h2>

Step-by-step explanation:

If we factorize the numbers, we may be able to surmise the GCF:

28 = 2 × 2 × 7

42 = 2 × 3 × 7

56 = 2 × 2 × 2 × 7

∴ the GCF is 2 × 7 = 14

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2 years ago

Assume a simple random sample of 10 BMIs with a standard deviation of 1.186 is selected from a normally distributed population o

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Answer:

a) H0: $\sigma = 1.34$

H1: $\sigma \neq 1.34$

b) $df = n-1= 10-1=9$

And the critical values with $\alpha/2=0.005$ on each tail are:

$\chi_{\alpha/2}= 1.735, \chi_{1-\alpha/2}= 23.589$

c) $t=(10-1) [\frac{1.186}{1.34}]^2 =7.05$

d) For this case since the critical value is not higher or lower than the critical values we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not significantly different from 1.34

Step-by-step explanation:

Information provided

n = 10 sample size

s= 1.186 the sample deviation

$\sigma_o =1.34$ the value that we want to test

$p_v$ represent the p value for the test

t represent the statistic (chi square test)

$\alpha=0.01$ significance level

Part a

On this case we want to test if the true deviation is 1,34 or no, so the system of hypothesis are:

H0: $\sigma = 1.34$

H1: $\sigma \neq 1.34$

The statistic is given by:

$t=(n-1) [\frac{s}{\sigma_o}]^2$

Part b

The degrees of freedom are given by:

$df = n-1= 10-1=9$

And the critical values with $\alpha/2=0.005$ on each tail are:

$\chi_{\alpha/2}= 1.735, \chi_{1-\alpha/2}= 23.589$

Part c

Replacing the info we got:

$t=(10-1) [\frac{1.186}{1.34}]^2 =7.05$

Part d

For this case since the critical value is not higher or lower than the critical values we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not significantly different from 1.34

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2 years ago

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2 years ago

Solve for n.<br> 3/4 x n = 1

cestrela7 [59]

3/4 times n=1

remember that when you multiply 3/4 by 4/3 you get 12/12=1 so it simplifies
remember that you can do anything to an equation as long as you do it to both sides

3/4 ties n=1
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2 years ago

GCF of 28,42,and 56￼. Please show work

GCF of 28,42,and 56. Please show work