13 in = ___________ ft

Answer:

0.2061 = 20.61% probability that the mean of the women will be more than 1.5 points higher than the mean of the men

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Women:

Mean 5, standard deviation 1.5.

Sample of 12.

So

[tex]\mu_{W} = 5[/tex]

[tex]s_{W} = \frac{1.5}{\sqrt{12}} = 0.433[/tex]

Men:

Mean of 4, standard deviation 1.5.

Sample of 12.

So

[tex]\mu_{M} = 4[/tex]

[tex]s_{M} = \frac{1.5}{\sqrt{12}} = 0.433[/tex]

What is the probability that the mean of the women will be more than 1.5 points higher than the mean of the men?

This is:

[tex]P(W - M) \geq 1.5[/tex]

Subtraction:

[tex]\mu_{W-M} = \mu_{W} - \mu_{M} = 5 - 4 = 1[/tex]

[tex]s_{W - M} = \sqrt{s_{W}^2+S_{M}^2} = \sqrt{0.433^2+0.433^2} = 0.6124[/tex]

The probability is 1 subtracted by the pvalue of Z when X = 1.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this distribution

[tex]Z = \frac{X - \mu_{W-M}}{s_{W - M}}[/tex]

[tex]Z = \frac{1.5 - 1}{0.6124}[/tex]

[tex]Z = 0.82[/tex]

[tex]Z = 0.82[/tex] has a pvalue of 0.7939

1 - 0.7939 = 0.2061

0.2061 = 20.61% probability that the mean of the women will be more than 1.5 points higher than the mean of the men

Answer:

f(x) = 2x^3 - 6x^2 - 20x + 48

Step-by-step explanation:

A polynomial with zeros a, b, c, etc., is the product of (x - a)(x - b)(x - c)...

f(x) = (x + 3)(x - 2)(x - 4)

f(x) = (x^2 + x - 6)(x - 4)

f(x) = x^3 - 4x^2 + x^2 - 4x - 6x + 24

f(x) = x^3 - 3x^2 - 10x + 24

This polynomial function has the zeros listed in the problem.

Now we need to make sure it includes the point (6, 144).

f(x) = (x + 3)(x - 2)(x - 4)

f(6) = (6 + 3)(6 - 2)(6 - 4)

f(6) = 9 * 4 * 2

f(6) = 72

The polynomial function has point (6, 72). We want it to include the point (6, 144). We multiply the function by 2.

f(x) = 2(x^3 - 3x^2 - 10x + 24)

f(x) = 2x^3 - 6x^2 - 20x + 48

Answer:

Step-by-step explanation:

they are asking for the triangle the "hangs " off the line, and so that it's in integer units.

by looking at the graph, I think if you were to draw a line on the y =4  ... so a flat horizontal like from the y axis at 4 on the y axis over to your graphed line.. that would do it..  :/   get it?

then the y axis is the "rise" and the line going from the y axis, horizontallly over to the graphed line, from 4.. and staying on 4 to the line... would be the run...  :?   I think this will be tough to get  

Answer:

184

Step-by-step explanation:

2*(6*5+6*14+5*14)=184

Answer:

165438339828369373938+50

Answer:

m = 0.35

Step-by-step explanation:

Divide 9.45 by 27

Answer:

a

Step-by-step explanation:

the other ones are incorrect

Answer:

hi, the answer is b

Step-by-step explanation:

i dont know how to explain it but good luck!

<3

Answer:

I really only know second one

So for team a the median is 4

the upper is 5 and the lower is 2

the highest is 8 lowestis 0

The median for b is 8

upper is 9 lower is 6

lowest is 0 highest is 10

It can't be a because they don't have the same median. Team A DOES have a lower median. It is not C. I really am thinking B

Step-by-step explanation:

4m = 12x + 40

8x + 8x + 12x + 40 + 4m = 360

28x + 40 + 12x + 40 = 360

x = 7

m = 12(7) + 40 = 124

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation: its questionable but i think its A

Step-by-step explanation:

dont type the link he is spamming it. I dont know the answer because I cant see the small type but if you download bartleby you can get the answer by professions (10 free) no credit card in 34 minutes and this is not a advertisement btw

Answer:

A

Step-by-step explanation:

When you remove the top layer, you lose 9 squares. So now there are only 18 squares left. The length is 3 beacuse, now it is only 3 sqaures long. And it is still 3 wide. The only change is in height as it is now 2 squares high.

I hope this helps!!

Answer: 2

Step-by-step explanation:

Every set of point is found if you go up twice and once to the right 2/1 = 2

Equation = Y = 2x + 4

Answer:

Option C. 10

Step-by-step explanation:

From the question given above, the following data were obtained:

P = {3}

Q = {10}

PnQ = {5}

(PuQ)ᶜ = {9}

PᶜnQ =?

Next, we shall determine the complement of P (Pᶜ).

Complement of P (Pᶜ) are elements found in the universal set but not found in the set P. The complement of P (Pᶜ) can be obtained as follow:

Universal set (U) = {3,5,10,9}

P = {3}

Pᶜ = {5,10,9}

Finally, we shall determine PᶜnQ. This can be obtained as follow:

Q = {10}

Pᶜ = {5,10,9}

PᶜnQ = Elements common to both Pᶜ and Q.

PᶜnQ = {10}

Answer:

3.60m

Step-by-step explanation:

Basically if 1 bought i gallon its 3.60

2= 7.2 dollars and so forth

Answer:

7 pairs of shoes costs $140

Step-by-step explanation:

80/4 = $20 per pair of shoes

20* 7 = $140

7 pairs of shoes costs $140

Answer: 140$ $80/4 is 20 so the cost for one pair of shoes is 20$ so 20$ times 7 is 140$

Step-by-step explanation:

Answer:

y = 2x + 6

Step-by-step explanation:

10x - 5y = -30

-5y = -10x - 30

y = 2x + 6

Answer:

The planning value for the population standard deviation is $3750.

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

95% confidence interval between $39,000 and $54,000.

This means that $39,000 is two standard deviations below the mean, and $54,000 is two standard deviations above the mean. This means that between $39,000 and $54,000 there are four standard deviations. So

[tex]4\sigma = 54000 - 39000[/tex]

[tex]4\sigma = 15000[/tex]

[tex]\sigma = \frac{15000}{4}[/tex]

[tex]\sigma = 3750[/tex]

The planning value for the population standard deviation is $3750.

Answer:

19%

Step-by-step explanation:

it's 19% because the box has 100 squares and 19 of them are shaded in

Answer: 7.2ft

I explanation

Answer:

47

Step-by-step explanation:

2115/45=47

Answer:

(6, 3)

Step-by-step explanation:

It is hard to see the graph since it got cut, but if I look at it the two lines intersect on (6, 3) which would be your answer. Hope this helps, thank you :) !!

Answer: Line J  

A is the answer

Answer: the answer is b

Step-by-step explanation: because open is< or >

The number line which shows all the values of x that make the provided inequality -3x+1<7 true is shown in number line D.

The number line is the way of representation of number and digits in a arranged form to understand the data batter.

The given inequality in the problem is,

[tex]-3x+1 < 7[/tex]

Subtract 1 both side of the equation and solve it further,

[tex]-3x+1-1 < 7-1\\-3x < 6[/tex]

Divide with number 3,

[tex]-x < \dfrac{6}{3}\\-x < 2[/tex]

Change the sign of the inequality by filliping the inequality sign,

[tex]x > -2[/tex]

Here, the inequality is greater than the number negative 2. The value of x is greater than, thus, the arrow will point towards left and there will be open circle. This is shown in the option D.

Thus, the number line which shows all the values of x that make the provided inequality -3x+1<7 true is shown in number line D.

Learn more about the number line here;

https://brainly.com/question/24644930

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