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What are the greatest common factors of 28,35 and 56.

Zinaida [17]

Answer:

7

Step-by-step explanation:

28 35 56

1 and 28 1 and 35 1 and 56

2 and 14 7 and 5 2 and 28

4 and 7 4 and 14

7 and 8

5 0

2 years ago

] It is claimed that 42% of US college graduates had a mentor in college. For a sample of college graduates in Colorado, it was

Bad White [126]

Answer:

$z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930$

The p value for this case would be given by:

$p_v =P(z>3.930)=0.0000443$

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

Step-by-step explanation:

Information given

n=1045 represent the random sample selected

X=502 represent the college graduates with a mentor

$\hat p=\frac{502}{1045}=0.480$ estimated proportion of college graduates with a mentor

$p_o=0.42$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true proportion is higher than 0.42, the system of hypothesis are.:

Null hypothesis: $p \leq 0.42$

Alternative hypothesis: $p > 0.42$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info we got:

$z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930$

The p value for this case would be given by:

$p_v =P(z>3.930)=0.0000443$

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

7 0

3 years ago

jen makes a rectangular banner. it is 3/4 yard long and 1/4 yard wide. what is the area, in square yards of the banner

SashulF [63]

Ok so in order to find the answer to this problem we are going to Multiply $\frac{3}{4}$ and $\frac{1}{4}$ . $\frac{3}{4}* \frac{1}{4}= \frac{3}{4}
$ $Answer:\boxed{ \frac{3}{4}} \\ 
$

8 0

3 years ago

Read 2 more answers

39. Kate recorded the time it took six children of

scZoUnD [109]

Answer:

$y=-11x+261$

Step-by-step explanation:

As you can observe in the image attached, the line that best fits passes through point B and C. That means we can use those point to find the slope of such line.

$m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }$

Where $B(11,137)$ and $C(12,126)$

$m=\frac{126-137}{12-11}=-11$

So, the slope of the line that best fits is -11, approximately.

Now, we use the point-slope formula to find the equation.

$y-y_{1} =m(x-x_{1} )\\y-137=-11(x-11)\\y=-11x+124+137\\y=-11x +261$

Therefore, the line that best fits is $y=-11x+261$ approximately.

Remember, when we estimate a line for some data on a scatterplot, we are calculating an approximation, that's why we also said "approximately", because the line is an approximation where the majority of point meet.