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Leviafan [203]
2 years ago
7

Three more than five times a number is 38

Mathematics
1 answer:
mario62 [17]2 years ago
5 0
3+5x=38
-3 on both sides
5x=35
divide by 5 on both sides
x=7
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In a study of 420,095 Danish cell phone users, 135 subjects developed cancer of the brain or nervous system (based on data from
Maksim231197 [3]

Answer:

z=\frac{0.0003214 -0.00034}{\sqrt{\frac{0.00034(1-0.00034)}{420095}}}=-0.654  

p_v =2*P(Z  

So the p value obtained was a very high value and using the significance level given \alpha=0.005 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that the true proportion not differs significantly from the specified value of 0.00034 or 0.034%.

Step-by-step explanation:

1) Data given and notation  

n=420095 represent the random sample taken

X=135 represent the subjects developed cancer of the brain or nervous system (based on data from the Journal of the National Cancer Institute as reported in USA Today)

\hat p=\frac{135}{420095}=0.0003214 estimated proportion of subjects developed cancer of the brain or nervous system (based on data from the Journal of the National Cancer Institute as reported in USA Today)

p_o=0.00034 is the value that we want to test

\alpha=0.005 represent the significance level

Confidence=99.5% or 0.995

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 brain or nervous system at a rate that is different from the rate of 0.0340% :  

Null hypothesis:p=0.00034  

Alternative hypothesis:p \neq 0.00034  

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{0.0003214 -0.00034}{\sqrt{\frac{0.00034(1-0.00034)}{420095}}}=-0.654  

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 significance level provided \alpha=0.005. 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  

So the p value obtained was a very high value and using the significance level given \alpha=0.005 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that the true proportion not differs significantly from the specified value of 0.00034 or 0.034%.  

4 0
3 years ago
Please help!!! I am so confused!
Dafna11 [192]
The first one is c because if you put it at negative 1/8 then it is 0-1/8 or 1/8 away from zero

second one is
the reciprocal is the number that when multiiplied by the number you are trying to find the reciprocal of, you get +1 so the number you have is  2/7 so
2/7 times x=+1
multiply both sdies by 7/2 to clear fraction
x=+7/2
the reciprocal is +7/2 or +3 and 1/2 which is D
3 0
2 years ago
Read 2 more answers
A car with a cost price of $5200 is<br> sold at a profit of 15%. Calculate the<br> selling price
andriy [413]

Answer:

We are given the initial price of a car and we are also told that the car sold for a 15% profit which means that the price that the car was sold for is 15% more than it's initial price.  This is just a simple multiplication problem which we multiply the initial price by the total percentage plus 0.15

Sold\ Price = Initial\ Price *(Total\ Percentage+Profit\ Percentage)

Sold\ Price = \$5200*(1+0.15)

Sold\ Price = \$5200*(1.15)

Sold\ Price = \$5980

Therefore, our final answer is that the selling price was $5980

<u><em>Hope this helps! </em></u>

5 0
1 year ago
Please help !! Which of the following are solutions to the equation below? check all that apply
Gala2k [10]
I thike so i would -4 must help u a lot
7 0
3 years ago
Read 2 more answers
How to solve this problem
Arisa [49]
First, you solve the square root:

9+ \sqrt{-4}

Knowing that the square root of a negative number doesn't exist:

9+ \sqrt{-4}
9+2i is your answer.


Hope it helped,

Happy homework/ study/ exam!


4 0
3 years ago
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