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3 years ago

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Mathematics

1 answer:

Marysya12 [62]3 years ago

7 0

parallel: g(x) = -5/3x + 1

perpendicular: h(x) = 3/5x - 5

neither: j(x) = 2x + 3

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Construct a 99% confidence interval for the population standard deviation of white blood cell count (in cells per microliter). A

kogti [31]

Answer:

The correct option is 1.148 < σ < 6.015

Explanation:

The 99% confidence interval for the standard deviation is given below:

$\sqrt{\frac{(n-1)s^{2}}{\chi^{2}_{\frac{0.01}{2} }} }$

Where:

$\chi^{2}_{\frac{0.01}{2} }=18.548$

$\chi^{2}_{1-\frac{0.01}{2}}=0.676$

Therefore, the 99% confidence interval is:

$\sqrt{\frac{(7-1)2.019^{2}}{18.548} }$

$1.148$

Therefore, the option 1.148 < σ < 6.015 is correct

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4 years ago

A choir teacher is dividing 15 sopranos and 36 altos into the singing groups. He wants each group to have the same combination o

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Answer:

3 groups of 5 sopranos and 12 altos

Step-by-step explanation:

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3 years ago

At a cell phone assembly plant, 77% of the cell phone keypads pass inspection. A random sample of 111 keypads is analyzed. Find

Serggg [28]

Answer:

The probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

Let p = the proportion of keypads that pass inspection at a cell phone assembly plant.

The probability that a randomly selected cell phone keypad passes the inspection is, p = 0.77.

A random sample of n = 111 keypads is analyzed.

Then the sampling distribution of $\hat p$ is:

$\hat p\sim N(p,\ \sqrt{\frac{p(1-p)}{n}})\\\Rightarrow \hat p\sim N (0.77, 0.04)$

Compute the probability that the proportion of passed keypads is between 0.72 and 0.80 as follows:

$P(0.72$

$=P(-1.25$

Thus, the probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.

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4 years ago

The Crayola crayon company can make 2400 crayons in 4 minutes. How many crayons can they make in 15 minutes? Solve this problem

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So, The Crayola Crayon company can make 2400 crayons in 4 minutes. In other words, every 4 minutes they can make 2400 crayons, right? So, in 15 minutes how many would they have made? Well, what we do is we divide 15 by 4 which is 3.75. Then we multiply the result, 3.75, by 2400. 3.75 * 9000. So, in 15 minutes, Crayola would have made 900 crayons!

4/2400 = 15/x

Step 1: Cross Multiply

4/2400 = 15/x

4 * x = (15) * (2400)

4x = 36000

Step 2: Divide both sides by 2

4x/4 = 36000/2

x = 9000

The answer is, 9000!!! :D

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4 years ago

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Answer:

A, B, and D all only have one solution.

Step-by-step explanation:

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