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amm1812
3 years ago
11

two different floor plans are being offered in a new housing development. several prospective buyers from three different age gr

oups were surveyed about which plan they preferred. find the probability that a randomly selected by her preferred plan a or was in the 40-to 49-year-old age group. (The answer is not 0.912)

Mathematics
1 answer:
Lesechka [4]3 years ago
7 0
<h3>Answer: Approximately 0.677</h3>

Explanation:

Add up the values in the plan A column. There are 10+12+16 = 38 people who prefer plan A.

Add up the values in the "40-49" row to find that 16+8 = 24 people are ages 40 to 49.

We have 38+24-16 = 46 people who either prefer plan A, are aged 40-49, or fit both descriptions. I subtracted off 16 because those 16 people were counted twice when adding 38 and 24.

An alternative way to get this value of 46 is to add up everything that is in column1 or row 3 (or both). So that would get 10+12+16+8 = 46.

Now add up everything in the table to find out how many people were surveyed total. That would be 10+7+12+15+16+8 = 68 people overall.

The probability of someone liking plan A, or being age 40-49, or both is 46/68 = 0.6765 approximately. Rounding to 3 decimal places gives 0.677

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The ages (in years) and weights (in pounds) of all wide receivers for a football team are listed. Find the coefficient of variat
IceJOKER [234]

Answer:

The coefficient of variation for the weight and age are 5.9% and 10.6%.

Step-by-step explanation:

The coefficient of variation (CV) is well defined as the ratio of the standard deviation to the mean. It exhibits the degree of variation in association to the mean of the population.

The formula to compute the coefficient of variation is:

CV=\frac{\sigma}{\mu}\times 100\%

Here σ = standard deviation and µ = mean.

Compute the mean and standard deviations of the two data set in Excel using the following functions.

Mean=AVERAGE()

Standard deviation=STDEV.S()

Consider the Excel sheet attached.

The mean and standard deviation of weight are:

Mean = 202, Standard deviation = 11.87

And the mean and standard deviation of weight are:

Mean = 25.88, Standard deviation = 2.75

Compute the coefficient of variation for the weight as follows:

CV_{weight}=\frac{\sigma}{\mu}\times 100\%

              =\frac{11.87}{202}\times 100\%\\\\=5.87624\\\\=5.9\%

Compute the coefficient of variation for the age as follows:

CV_{age}=\frac{\sigma}{\mu}\times 100\%

              =\frac{2.75}{25.88}\times 100\%\\\\=10.62597\\\\=10.6\%

Thus, the coefficient of variation for the weight and age are 5.9% and 10.6%.

8 0
3 years ago
What is the probability that a random sample of 20 eggs from the same distribution will have a mean hatch time between 52 and 60
Alborosie
<span>What is the probability that a random sample of 20 eggs from the same distribution will have a mean hatch time between 52 and 60 days?

</span>
8 0
4 years ago
1.
Igoryamba
The correct answer for Number 1 is

A.

EXPLANATION

First we apply the vertical angles theorem to transfer x into the triangle. That is,

x=y

Next, we use the triangle angle sum theorem to write an equation in x, which is

x+70+30=180

We can solve this equation for x.

Part B

We now solve the equation to obtain,

x+100=180

x=180-100

This gives us,

x=80

and

y=80

The correct answer for this part is B.

2)

By the triangle exterior angle theorem,



The correct answer for this part is D.

3) The correct answer is the Triangle exterior angle theorem.

This theorem says that the sum of any two adjacent interior angles of a triangle equals the exterior angle opposite to them.

4) Using the triangle angle sum theorem, we can solve for x.

So we are adding all the angles in the triangle and equate them to 180.

(2x+4)+(2x-9)+x=180

We group like terms to obtain,

2x+2x+x=180+9-4

This simplifies to,

5x=185

we divide both sides by 5 to get,

x=\frac{185}{5}=37

The correct answer for this question 4 is C
6 0
3 years ago
Divide 180° in a ratio of 4:5:9
qwelly [4]
In plain and short, we'll simply divide 180 by (4+5+9), and give 4 pieces of those to the ratio of 4, 5 to the ratio of 5 and 9 to the ratio of 9, thus

\bf \cfrac{180}{4+5+9}\implies 10\qquad \qquad \qquad \qquad \qquad \stackrel{4\cdot 10}{40}~:~\stackrel{5\cdot 10}{50}~:~\stackrel{9\cdot 10}{90}
6 0
4 years ago
I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY
Hoochie [10]

Answer:

25

Step-by-step explanation:

20^2 + 15^ = c^2

400 + 225 = c^2

625 = c^2

25 = c

3 0
2 years ago
Read 2 more answers
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