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Tems11 [23]
2 years ago
10

Follow the steps above and find c, the total of the payments, and the monthly payment. Choose the right answers.

Mathematics
1 answer:
saveliy_v [14]2 years ago
5 0

To the nearest penny, c = $6,252.50

Total of payments = amount financed + c = $26,752.50

Total of payments ÷ number of payments = monthly payment = $445.88

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10 quarts is the greatest about becuase it is equal to 40 cups.
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3 years ago
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The number of events is 29​, the number of trials is 298​, the claimed population proportion is​ 0.10, and the significance leve
Nina [5.8K]

Answer:

z=\frac{0.0973 -0.1}{\sqrt{\frac{0.1(1-0.1)}{298}}}=-0.155  

p_v =2*P(Z  

And we can use excel to find the p value like this: "=2*NORM.DIST(-0.155;0;1;TRUE)"

So the p value obtained was a very high value and using the significance level given \alpha=0.05 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 5% of significance the proportion of interest is not significantly different from 0.1 .  

Step-by-step explanation:

1) Data given and notation

n=298 represent the random sample taken

X=29 represent the events claimed

\hat p=\frac{29}{298}=0.0973 estimated proportion

p_o=0.1 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)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion is 0.1 or no.:  

Null hypothesis:p=0.1  

Alternative hypothesis:p \neq 0.1  

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.

3) Calculate the statistic  

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

z=\frac{0.0973 -0.1}{\sqrt{\frac{0.1(1-0.1)}{298}}}=-0.155  

4) 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 next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(Z  

And we can use excel to find the p value like this: "=2*NORM.DIST(-0.155;0;1;TRUE)"

So the p value obtained was a very high value and using the significance level given \alpha=0.05 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 5% of significance the proportion of interest is not significantly different from 0.1 .  

We can do the test also in R with the following code:

> prop.test(29,298,p=0.1,alternative = c("two.sided"),conf.level = 1-0.05,correct = FALSE)

7 0
3 years ago
If f(x)= 1/x and g(x) = 3x+2 find (g • g)(-4)
OleMash [197]

Answer:

-4g2

Step-by-step explanation:

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3 years ago
Given the equation -2x + 8y = 24, determine the x- and y-intercepts. PLZ HELP???
attashe74 [19]

Answer:

x=(-12,0)

y=(0,3)

Step-by-step explanation:

<u><em>x-intercept</em></u>

-2(x-4y)=24

x-4y=-\frac{24}{2}

x-4y=-12

x=4y-12

x=4(0)-12

x=-12

<u><em>y-intercept </em></u>

-2(x-4y)=24

x-4y=-\frac{24}{2}

x-4y=-12

-4y=-12-x

y=-\frac{-12-x}{4}

y=-\frac{-12-(0)}{4}

y=\frac{12}{4}

y=3

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3 years ago
The diameter of a circular chip is doubled to use in a new board game. The area of the new chip will be
nikitadnepr [17]

Answer: A_2=\frac{\pi(2D)^{2}}{4}


Step-by-step explanation:

1. You have the following formula for calculate the area of the original circular chip:

A_1=\frac{\pi(D)^{2}}{4}

Where D is the diameter of the circle.

2. Then, if the diameter of the original circular chip is doubled (2D) to use in a new board game, the area of the new chip can be calculated with the following formula:

A_2=\frac{\pi(2D)^{2}}{4}


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3 years ago
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