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timofeeve [1]
2 years ago
13

Classify the polynomial 5m^10

Mathematics
1 answer:
Naily [24]2 years ago
3 0

Answer:

Monomial

Step-by-step explanation:

A polynomial has terms in their equation.

When it is a trinomial, it usually follows the pattern such as x^2+2x+1.

When it is a binomial, it usually is something like x+2

...And finally, when it is a monomial, it can be anything that has just one term. So let's say 4x^8883293483.

The polynomial 5m^10 classifies under a monomial since it only has one term

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Answer:

z=\frac{0.7-0.07}{\sqrt{0.385(1-0.385)(\frac{1}{215}+\frac{1}{215})}}=13.42  

p_v =P(Z>13.42)\approx 0  

So the p value is a very low value and using any significance level given \alpha=0.01 we se that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that vinyl gloves have a greater virus leak rate than latex gloves at 1% of significance.

Step-by-step explanation:

Data given and notation  

n_{V}=215 sample of vinyl gloves selected

n_{L}=215 sample of latex gloves selected

p_{V}=0.7 represent the proportion of vynil gloves with leaked viruses

p_{L}=0.07 represent the proportion of latex gloves with leaked viruses

z would represent the statistic (variable of interest)  

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

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the vinyl gloves have a greater virus leak rate than latex gloves , the system of hypothesis would be:  

Null hypothesis:p_{V} \leq p_{L}  

Alternative hypothesis:p_{V} > \mu_{L}  

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

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

Where \hat p=\frac{X_{V}+X_{L}}{n_{V}+n_{L}}=\frac{0.7+0.07}{2}=0.385

Calculate the statistic

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

z=\frac{0.7-0.07}{\sqrt{0.385(1-0.385)(\frac{1}{215}+\frac{1}{215})}}=13.42  

Statistical decision

Since is a one right tailed test the p value would be:  

p_v =P(Z>13.42)\approx 0  

So the p value is a very low value and using any significance level given \alpha=0.01 we se that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that vinyl gloves have a greater virus leak rate than latex gloves at 1% of significance.

3 0
3 years ago
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Sarah has a lot of shoes. She organizes them on 4 shelves. If each shelf holds 8 pairs of shoes, how many total pairs of shoes d
Volgvan

Answer:

32

Step-by-step explanation:

8 x 4 = 32

I'm pretty sure

6 0
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Please help! thank you
Taya2010 [7]
Hope this would help you

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Find the measure of angle A.<br> Please help??
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Answer:

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Step-by-step explanation:

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Answer:

Assuming the numerator was 1.

(6\sqrt{7}+1)/251

Step-by-step explanation:

Assuming the numerator was 1.

1/(6\sqrt{7} -1)\\ (6\sqrt{7}+1)/((6\sqrt{7} - 1)(6\sqrt{7} + 1))\\ (6\sqrt{7}+1)/((6\sqrt{7})^2 + 6\sqrt{7} - 7\sqrt{7} - 1)\\(6\sqrt{7}+1)/((6\sqrt{7})^2 - 1)\\(6\sqrt{7}+1)/((36*7 - 1)\\(6\sqrt{7}+1)/251

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3 years ago
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