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matrenka [14]
2 years ago
11

4. Brandy drives 500 miles each month. Her MPG is 18.1. If gas is $2.49 per gallon, how much does she spend on gas each month?

Mathematics
1 answer:
Olenka [21]2 years ago
3 0
The answer to the question is 68.78.
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In a recent study, researchers found that 31 out of 150 boys aged 7-13 were overweight or obese. On the basis of this study can
AURORKA [14]

Answer:

1) Null hypothesis:p \leq 0.15  

Alternative hypothesis:p > 0.15  

2) The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) z_{crit}= 1.64

And the rejection zone would be z>1.64

4) Calculate the statistic  

z=\frac{0.207 -0.15}{\sqrt{\frac{0.15(1-0.15)}{150}}}=1.955  

5) Statistical decision  

For this case our calculated value is on the rejection zone, so we have enough evidence to reject the null hypothesis at 5% of significance and we can conclude that the true proportion is higher than 0.15

Step-by-step explanation:

Data given and notation

n=150 represent the random sample taken

X=21 represent the boys overweight

\hat p=\frac{31}{150}=0.207 estimated proportion of boy overweigth

p_o=0.15 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

1) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the true proportion of boys obese is higher than 0.15.:  

Null hypothesis:p \leq 0.15  

Alternative hypothesis:p > 0.15  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

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

2) The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Decision rule

For this case we need a value on the normal standard distribution who accumulates 0.05 of the area on the right tail and on this case this value is:

z_{crit}= 1.64

And the rejection zone would be z>1.64

4) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.207 -0.15}{\sqrt{\frac{0.15(1-0.15)}{150}}}=1.955  

5) Statistical decision  

For this case our calculated value is on the rejection zone, so we have enough evidence to reject the null hypothesis at 5% of significance and we can conclude that the true proportion is higher than 0.15

6 0
3 years ago
If DH = 4x – 10 and FH = x + 8, find the value of x for which DEFG must be a parallelogram.
Aleonysh [2.5K]

Answer:

I think the answer is 6. Hopefully this helps

Step-by-step explanation:


6 0
2 years ago
Read 2 more answers
The rational expressionwrite this ratio in the form p(x) + x/(x - 2) Where is some x - 2
loris [4]

Answer:

\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}

Step-by-step explanation:

Given rational expression is,

\frac{2x^2+5x-14}{x-2}

x - 2) 2x² + 5x - 14(2x + 9

         <u>2x² - 4x</u>

                  9x - 14

                  <u>9x - 18</u>

                          4

Therefore, \frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2} is the answer.

6 0
2 years ago
72÷6374<br><img src="https://tex.z-dn.net/?f=72%20%5Cdiv%206374" id="TexFormula1" title="72 \div 6374" alt="72 \div 6374" align=
Ivan
72 divided by 6374 is equal to 0.0113

Hope it helps :)
6 0
3 years ago
Can anyone help me out on this
Licemer1 [7]

Answer:

y=x+10

Step-by-step explanation:

y=mx+b

y=1x+b

1 because for every 10 it goes to the right, it goes up 10 as well.

b=10 because the function crosses the y-axis at 10

so

y=x+10

4 0
2 years ago
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