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gayaneshka [121]
2 years ago
6

If 3x - 5 = 22, find the value of 2x. a. 6 b. 24 c. 12 d. 18

Mathematics
1 answer:
Softa [21]2 years ago
3 0

Answer:

d. 18

Step-by-step explanation:

3x - 5 = 22

3x = 27

x = 9

Then, 2x is equal to:

= 2(9)

= 18

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Your grades on three exams are 80, 93, and 91. What grade do you need on the next exam to have an average of 90 on the four exam
Pani-rosa [81]

<u>Answer:</u>

96

<u>Step-by-step explanation:</u>

Let's assume that the marks needed in the next exam is x. Then if the average becomes 90,

\frac{80 + 93 + 91 + x}{4}= 90

Now we can simply solve for x:

⇒ \frac{264 + x}{4}= 90

⇒ 264 + x = 360            [Multiplying both sides by 4]

⇒ x = 360 - 264            [Subtracting 264 from both sides]

⇒ x = \bf96

Therefore, you need to score 96 in your next exam to have an average of 90 on the four exams.

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Answer:1251231

Step-by-step explanation:

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2 years ago
What is 50 minutes before 8:40 am
ale4655 [162]
7:50 am

60 minutes before 8:40 would be 7:40 so 10 minutes after that would be 7:50
3 0
3 years ago
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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%.  

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Answer:

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there are 4 green out of 11 total

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