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MA_775_DIABLO [31]
3 years ago
14

If it takes the Jones family 2 days to travel 1,240 miles, how many days will it take them to travel 1550 miles?

Mathematics
1 answer:
NikAS [45]3 years ago
8 0
4 Days I found this out by this

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Donny had a 10-foot board. He used the board to make two shelves. One shelf measured 4 feet 7 inches wide and the other shelf me
Lelechka [254]

Answer:

2.25 feet

Step-by-step explanation:

8 0
3 years ago
The University of Arkansas recently approved out of state tuition discounts for high school students from any state. The student
Fudgin [204]

Answer:

z=\frac{0.872 -0.9}{\sqrt{\frac{0.9(1-0.9)}{180}}}=-1.252  

p_v =P(z  

So the p value obtained was a very low value and using the significance level given \alpha=0.1 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 10% the proportion of students who came from Arkansas or a bordering state is not significantly lower than 0.9

b. Fail to reject H0; conclude that the new policy increases the percentage of students from states that don’t border Arkansas

Step-by-step explanation:

Data given and notation n  

n=180 represent the random sample taken

X=157 represent the students who came from Arkansas or a bordering state

\hat p=\frac{157}{180}=0.872 estimated proportion of students who came from Arkansas or a bordering state

p_o=0.9 is the value that we want to test

\alpha=0.1 represent the significance level

Confidence=90% or 0.90

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is higher or not than 0.9.:  

Null hypothesis:p\geq 0.9  

Alternative hypothesis:p < 0.9  

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)  

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

Calculate the statistic  

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

z=\frac{0.872 -0.9}{\sqrt{\frac{0.9(1-0.9)}{180}}}=-1.252  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided \alpha=0.1. The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

p_v =P(z  

So the p value obtained was a very low value and using the significance level given \alpha=0.1 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 10% the proportion of students who came from Arkansas or a bordering state is not significantly lower than 0.9

b. Fail to reject H0; conclude that the new policy increases the percentage of students from states that don’t border Arkansas

4 0
3 years ago
Use the pythagorean theorem to solve for t*<br> A) 49<br> B) 85<br> C) √49<br> D) √85
-BARSIC- [3]

Answer:

D is the correct answer

7 0
2 years ago
Which lists these numbers in order from least to greatest?
Brrunno [24]
B. because the negative numbers are the smallest so they have to come first and -14.6 is smaller than -1.295. a.07 is smaller than 24.6 and 159 is the largest number listed.
6 0
3 years ago
The area of sector AOB is 20.25 pi ft ^2 . Find the exact area of the shaded region.
pishuonlain [190]

Remark

If you have the area of the sector, then what you need is the area of the triangle in order to find the area of the shaded area. Just subtract the two.

Area of the triangle

The right angle makes finding the base and height very easy since they are equal

Area_Triangle = 1/2 * b * h

b = 9

h = 9

Area = 1/2 * 9 * 9

Area = 1/2 * 81

Area = 40.5

Area of the Shaded Area

Area_shaded = area of the sector - area of the triangle.

Area_shaded = 20.25 * pi - 40.5

Area_shaded = 20.25(pi - 2) <<<< Answer

4 0
3 years ago
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