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Dmitrij [34]
2 years ago
12

Plss show the work –4z + 8 = –2z

Mathematics
1 answer:
IceJOKER [234]2 years ago
4 0

Answer:

z=-4/3

Step-by-step explanation:

8=-6z

z=-8/6

z=-4/3

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Use the Central Limit Theorem to find a mean given a probability Question A video game company sells an average of 132 games a m
aev [14]

Answer:

The number of games must a store sell in order to be eligible for a reward is 135.

Step-by-step explanation:

Let the random variable <em>X</em> represent the number of video games sold in a month by the sores.

The random variable <em>X</em> has a mean of, <em>μ</em> = 132 and a standard deviation of, <em>σ</em> = 9.

It is provided that the company is looking to reward stores that are selling in the top 7%.

That is, P (\bar X > \bar x) = 0.07.

The <em>z</em>-score related to this probability is, <em>z</em> = 1.48.

Compute the number of games must a store sell in order to be eligible for a reward as follows:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}

\bar x=\mu+z\cdot \sigma/\sqrt{n}

   =132+1.48\times (9/\sqrt{36})\\\\=132+2.22\\\\=134.22\\\\\approx 135

Thus, the number of games must a store sell in order to be eligible for a reward is 135.

5 0
3 years ago
A right triangle has a height of 27 inches
ohaa [14]

Answer:

405 inches^{2}

Step-by-step explanation:

Area of a triangle = \frac{1}{2} Base * Height

\frac{1}{2} * 30* 27 = 405 inches^{2}

4 0
3 years ago
Read 2 more answers
Whats he approximete value of the square root of 8
Neporo4naja [7]

Answer:

the approximate value of the square root of 8 is 2.828

8 0
3 years ago
Diana buys 5 sodas every week. Which of the following expressions shows the total number of sodas she buys in y weeks?
dedylja [7]

Answer:

5y

Step-by-step explanation:

because each week she buys five so you multiply 5 by however many weeks.

5 0
3 years ago
Read 2 more answers
Tain has a great literary tradition that spans centuries. One might assume, then, that Britons read more than citizens of other
tresset_1 [31]

Answer:

Null hypothesis:p_{1} \leq p_{2}  

Alternative hypothesis:p_{1} > p_{2}  

z=3.02  

p_v =P(Z>3.02)=0.00127  

The p value is a very low value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of Canadians is not significantly higher than the porportions of readers at Britons.  

Step-by-step explanation:

1) Data given and notation  

X_{1}=0.86*1004 represent the number of Canadians randomly sampled by Gallup that read at least one book in the past year

X_{2}=0.81*1009 represent the number of Britons randomly sampled that read at least one book in the past year

n_{1}=1004 sample of Gallup selected

n_{2}=1009 sample of Britons selected

p_{1}=0.86 represent the proportion of Canadians randomly sampled by Gallup that read at least one book in the past year

p_{2}=0.81 represent the proportion of Britons randomly sampled that read at least one book in the past year

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportion for men with red/green color blindness is a higher than the rate for women  , the system of hypothesis would be:  

Null hypothesis:p_{1} \leq p_{2}  

Alternative hypothesis:p_{1} > p_{2}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{0.81+0.86}{2}=0.835

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.86-0.81}{\sqrt{0.835(1-0.835)(\frac{1}{1004}+\frac{1}{1009})}}=3.02  

4) Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test.  

Since is a one side test the p value would be:  

p_v =P(Z>3.02)=0.00127  

So the p value is a very low value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of Canadians is not significantly higher than the porportions of readers at Britons.  

5 0
3 years ago
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