Help 25 points!

403 students go on a field trip there are 19 vehicles some vans and some buses. 7 students can fit in a van and 25 students can

Andrews [41]

Answer:

Shii I hope so

Step-by-step explanation:

3 0

3 years ago

The lengths of nails produced in a factory are normally distributed with a mean of 5.02 centimeters and a standard deviation of

zaharov [31]

Answer:

The length that separates the top 6% is 5.1 centimeters.

The length that separates the bottom 6% is 4.94 centimeters.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 5.02, \sigma = 0.05$

Find the two lengths that separate the top 6% and the bottom 6%.

Top 6%:

The 100-6 = 94th percentile, which is X when Z has a pvalue of 0.94. So X when Z = 1.555.

$Z = \frac{X - \mu}{\sigma}$

$1.555 = \frac{X - 5.02}{0.05}$

$X - 5.02 = 1.555*0.05$

$X = 5.1$

So the length that separates the top 6% is 5.1 centimeters.

Bottom 6%:

The 6th percentile, which is X when Z has a pvalue of 0.06. So X when Z = -1.555.

$Z = \frac{X - \mu}{\sigma}$

$-1.555 = \frac{X - 5.02}{0.05}$

$X - 5.02 = -1.555*0.05$

$X = 4.94$

The length that separates the bottom 6% is 4.94 centimeters.

7 0

3 years ago

Some engines require oil to be mixed with gasoline. For every gallon of gas used, 4 ounces of oil should be added. How much gas

kherson [118]

3 gallons of gas are needed

3 0

3 years ago

Does the amount of hazardous material absorbed by the bodies of hazardous waste workers depend on gender? The level of lead in t

Eva8 [605]

Answer:

Correct option is (A).

Step-by-step explanation:

A two-sample t-test can be performed to determine whether the amount of hazardous material absorbed by the bodies of hazardous waste workers depend on gender or not.

Th hypothesis will be:

H₀: The amount absorbed by men is same as the amount absorbed by women, i.e. μ₁ = μ₂.

Hₐ: The amount absorbed by men is greater than the amount absorbed by women, i.e. μ₁ > μ₂.

The test statistic used is:

$t=\frac{\bar x_{1}-\bar x_{2}-(\mu_{1}-\mu_{2})}{\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}}}}$

The decision rule to reject the null hypothesis based on the p-value is:

If the p-value of the test is less than the significance level α then the null hypothesis will be rejected. And if the p-value of the test is greater than the significance level α then the null hypothesis will not be rejected.

The p-value of the test is,

p - value = 0.0032

The commonly used significance levels are:

α = 0.01, 0.05 and 0.10.

The p-value of this test is less than all these α's.

Thus, the null hypothesis will be rejected.

Conclusion:

As the null hypothesis is rejected, it can be concluded that the amount of leas absorbed by men is significantly greater than the amount absorbed by women.

Thus, the correct option is (A).

4 0

4 years ago

HELPPPPPPPPPPP

kolbaska11 [484]

Answer:

V = 18.84 units³

Step-by-step explanation:

The formula for the volume of a cone of base radius r and height h is

V = (1/3)(pi)(r²)(h).

Here, with pi = 3.14, r = 3 and h = 2, we get:

V = 18.84 units³

5 0

3 years ago