What is the slope of this table?

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Answer 1

Answer:

Answer:

Step-by-step explanation: what grade r u in and also help me with my homeork

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An airliner carries 200 200 passengers and has doors with a height of 70 70 in. Heights of men are normally distributed with a mean of 69.0 69.0 in and a standard deviation of 2.8 2.8 in. Complete parts (a) through (d). a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. The probability is . 6395 . (Round to four decimal places as needed.)b. If half of the 200 200 passengers are men, find the probability that the mean height of the 100 100 men is less than 70 70 in. The probability is nothing . (Round to four decimal places as needed.) c. When considering the comfort and safety of passengers, which result is more relevant: the probability from part (a) or the probability from part (b)? Why? A. The probability from part (a) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height. B. The probability from part (b) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height. C. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend. D. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend. d. When considering the comfort and safety of passengers, why are women ignored in this case? A. There is no adequate reason to ignore women. A separate statistical analysis should be carried out for the case of women. B. Since men are generally taller than women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women. C. Since men are generally taller than women, it is more difficult for them to bend when entering the aircraft. Therefore, it is more important that men not have to bend than it is important that women not have to bend.

Answers

Using the normal distribution and the central limit theorem, it is found that:

a) The probability is 0.6395.

b) The probability is 1.

The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend.

B. Since men are generally taller than women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = (X - \mu)/(\sigma)$

It 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, which is the percentile of X.
By the Central Limit Theorem, for the sampling distribution of samples of size n, the standard deviation is $s = (\sigma)/(√(n))$

In this problem:

Mean of 69 in, thus $\mu = 69$ .
Standard deviation of 2.8 in, thus $\sigma = 2.8$ .

Item a:

This probability is the p-value of Z when X = 70, thus:

$Z = (X - \mu)/(\sigma)$

$Z = (70 - 69)/(2.8)$

$Z = 0.357$

$Z = 0.357$ has a p-value of 0.6395.

Thus, the probability is 0.6395.

Item b:

Samples of size 100, thus $n = 100, s = (2.8)/(√(100)) = 0.28$ .

This probability is the p-value of Z when X = 70, thus:

$Z = (X - \mu)/(\sigma)$

By the Central Limit Theorem:

$Z = (X - \mu)/(s)$

$Z = (70 - 69)/(0.28)$

$Z = 3.57$

$Z = 3.57$ has a p-value of 1.

The probability is 1.

Item c:

We want don't want many people to have to bend, thus, part a has to be considered.

Item d:

Generally, men are taller, so if the design accommodates the men, it will accommodate the women, and the correct option is:

B. Since men are generally taller than women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women.

A similar problem is given at brainly.com/question/24663213

Answer:

a) 0.6406; b) 1.000; c) C. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend; d) B. Since men are generally taller than women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women.

Step-by-step explanation:

For part a,

We use the formula for the z score of an individual,

$z=(X-\mu)/(\sigma)$

Our mean, μ, is 69 and our standard deviation, σ, is 2.8. To find P(X < 70),

z = (70-69)/2.8 = 1/2.8 = 0.36

Using a z table, we see that the area under the curve to the left of this value is 0.6406. This is our probability.

For part b,

We use the formula for the z score of a sample,

$z=\frac{\bar{X}-\mu}{\sigma / √(n)}$

Our mean is still 69 and our standard deviation is still 2.8. Our sample size, n, is 100. To find P(X < 70),

z = (70-69)/(2.8÷√100) = 1/(2.8÷10) = 1/0.28 = 3.57

Using a z table, we see the area under the curve to the left of this is greater than 0.9999. This means that the probability is 1.000.

For part c,

We want to know the proportion of male passengers that will not need to bend. This is why the value from part a is more important.

For part d,

Men taller on average than women. This means if we accommodate for the mean, it follows that the women will fit as well.

The area of triangle ABC is 3√2 square inches. Find the measure of the acute angle, A, if b = 9 meters and c = 2 meters.14°
28°
42°
71°

Answers

Answer:

The measure of angle C is 28°

Step-by-step explanation:

Given the area of triangle ABC is 3√2 square inches.

we have to find the measure of angle A if b=9 m and c=2 m

As area of triangle can be calculated as

$Area=(1)/(2)* b* c* \Sin C$

$3\sqrt2=(1)/(2)* 9* 2* \sin C$

$\sin C=(3\sqrt2 * 2)/(9* 2)=(\sqrt2)/(3)$

$C=sin^(-1)((\sqrt2)/(3))=28.125\sim 28^(\circ)$

Option 2 is correct.

The answer is 28 degrees.

A fish market charges $9 per pound for cod and $12 per flounder. Let x= the number of pounds for cod and y= the number of pounds of flounder. What is an inequality that shows you how much of each type of fish you must sell to reach a daily quota of at least $120? Graph the inequality. What are 3 possible solutions?Can you please tell me how you solved it.

Answers

Inequalities show a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greaterthan = >

Lessthan and equal = ≤

Greaterthan and equal = ≥

The inequality can be represented as,

9x + 12y ≥ 120

The graph is given below.

The 3 possiblesolutions are

(4, 7), (8, 4), (12, 1)

What is inequality?

Inequalities show a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greaterthan = >

Lessthan and equal = ≤

Greaterthan and equal = ≥

We have,

Cost of cod per pound = $9

Cost of flounder per pound = $12

Number of pounds of cod = x

Number of pounds of flounder = y

Now,

The inequality can be represented as,

9x + 12y ≥ 120

The graph is given below.

The 3 possiblesolutions are

(x, y) = (4, 7), (8, 4), (12, 1)

Thus,

The inequality can be represented as,

9x + 12y ≥ 120

The graph is given below.

The 3 possiblesolutions are

(4, 7), (8, 4), (12, 1)

Learn more about inequalities here:

brainly.com/question/20383699

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okay here is what I did to try to solve the problem use this and it will help ask me if u have anymore qestions

$9 per lb for cod
$12 per lb flounder
y=X*$12
x=x*$9
120=$9(find how many pounds bought) + $12(find how many pounds bought)

What is .0825 as a fraction

Answers

The answer is 825/1000
I hope I helped! :-)

What is negative 5/12 minus 7/9

Answers

-5/12 - 7/9 =-43/36
first find common denominators 36 so you multiply -5/12 by 3 and 7/9 by 4 to get -15/36-28/36 to get -43/36

either -1.194444444, or -43/36

Which number line represents the solution set for this inequality?

−9x −12 ≤ 42

Answers

Number line 4 will represent the solution set of given inequality

−9x −12 ≤ 42.

What is inequality?

When two numbers or algebraic expressions are in opposition to one another, this is known as an inequality. It can be expressed as greater than, greater than or equal to, less than, or less than or equal to.

Given:

−9x −12 ≤ 42

-9x-12+12≤42+12

-9x ≤ 54

-9x/-9 ≤ 54/-9

x ≤ -6

To know more about inequality please visit:

brainly.com/question/28823603

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Answer:

Number line 4

Step-by-step explanation: