The manager of a night club in Boston stated that 85% of the customers are between the ages of 21 and 27 years. If the age of customers is normally distributed with a mean of 24 years, calculate its standard deviation.

Answers

Answer 1

Answer:

The standard deviation of the age of the customers was of 2.08 years.

Step-by-step explanation:

Problems of normally distributed samples 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.

In this question:

[tex]\mu = 24[/tex]

85% of the customers are between the ages of 21 and 27 years.

Since the normal distribution is symmetric, this means, for example, that 27 is the 50 + (85/2) = 92.5th percentile, that is, when [tex]X = 27[/tex], Z has a pvalue of 0.925. So when [tex]X = 27, Z = 1.44[/tex]. We use this to find [tex]\sigma[/tex]

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

[tex]1.44 = \frac{27 - 24}{\sigma}[/tex]

[tex]1.44\sigma = 3[/tex]

[tex]\sigma = \frac{3}{1.44}[/tex]

[tex]\sigma = 2.08[/tex]

The standard deviation of the age of the customers was of 2.08 years.


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C.

Step-by-step explanation:

I checked it and it’s right I hope this helps!!

The answer is C
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Answer: x

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Step-by-step explanation:

Solve for x
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Step-by-step explanation:

2000 mm is 2m. Have a great day/night!

Evaluate the expression For x = 2 and y = 4

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Answer:

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Step-by-step explanation:

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Find the balance in an account at the end of 8 years if $6000 is invested at an interest rate of 4.2% that is compounded continuously.
a. $8396.03
b. $ 8338.60
c. $8262.77
d. $6257.37

Answers

Answer:

$8016.00

Step-by-step explanation:

I = 6000 × 0.042 × 8 = 2016

I = $ 2,016.00

$2,016.00 + $6,000.00 = 8,016.00

-6+ (-20) + (-40) + 3d

Answers

Answer: -66 + 3d   or   3d - 66

Step-by-step explanation:

-6 + (-20) + (-40) + 3d

-6 - 20 - 40 + 3d

-26 - 40 + 3d

-66 + 3d   or   3d - 66

Hope I helped!

3D-66 hope that helped


PLEASE HELP I WILL GIVE BRAINLIEST!!


14. Katherine and Christine work at the same restaurant. Each week, Katherine works 5 more
hours than Christine Katherine earns $7.00 per hour and Christine earns $8.00 per hour.

a) Write a simplified expression to represent the total number of hours Katherine and
Christine work in one week.



b) Write a simplified expression to represent the total amount they earn in one week.

c) Suppose Christine and Katherine worked 9 hours last week. What was the total amount
the girls earned last week?

Answers

Answer:.

Step-by-step explanation:

ABCD is a parallelogram. Determine the measure of ∠B.
Question 19 options:
A) 52°

B) 96°

C) 39°

D) 78°

Answers

Answer:

D

Step-by-step explanation:

In parallelogram, opposite angles are congruent.

m∠B = m∠D

3x = x + 52            {Subtract x from both sides}

3x - x = 52                {Combine like terms}

     2x = 52           {Divide both sides by 2}

       x = 52/2

      x = 26

m∠B = 3x = 3*26 = 78

I think the answer should be D)

because both sides should be equal to each other, and if you take 78/3, it equals 28, and 28+52=78, so both sides equal 78, which makes it D

Someone please help me with this question

Answers

Answer:

Jinsoul from Loona

Step-by-step explanation:

In order to solve this problem, you must do the famous math operation: Jinsoul from Loona

Have a nice day!

Explain why the square root of a number is defined to be
equal to that number to the 1/2 power

Answers

9514 1404 393

Answer:

  (x^(1/2))^2 = x^(2/2) = x

Step-by-step explanation:

The square root of a number, when multiplied by itself, gives the original number.

  (√x)(√x) = x

The rule for exponents is that powers of the same base, when multiplied, will be the base to the sum of those powers.

  (a^b)(a^c) = a^(b+c)

Also, the first power of a number is that number itself.

__

  [tex]x^{\frac{1}{2}}\times x^{\frac{1}{2}}=x^{\frac{1}{2}+\frac{1}{2}}=x^1=x\\\\ \text{Compare to ...}\\\\ \sqrt{x}\times\sqrt{x}=x[/tex]

Answer:

Squaring and square root are inverses, so one should "undo" the other. That is, squaring the square root of a number results in the number. Using the power of a power rule, you multiply the exponents. Since a number to the first power is itself, the product of the exponents must equal 1. This means that the power of the square root must be the reciprocal of 2, or one half.

Step-by-step explanation:

EDGE 2020-2021

Find the values of x and y.
5x - 1
24
X
бу
x = 0, y = 0

Answers

Tiñes algunos ejemplos ???

Question 7 of 12
64 =
O A. 9
OB. 7
C. 8
O D. 16
Pleaseee

Answers

Answer:7

Step-by-step explanation:

Answer:

OB and it is 7 because

Step-by-step explanation:

i did this before XD si i could had gave you answer to everyone

A class has 18 students. The teacher asks how many students in the class have pets. If 5/9 of the students have pets, how many students in the class have pets?​

Answers

10 students would have pets because 10/18 is simplified to 5/9 I think

which statement is true about the pattern above

Answers

You didn’t attach a picture my man

Answer:

there is no pattern above

Please help with thissss

Answers

45° would be the answer

Answer:

180 degrees

Step-by-step explanation:

Lets call the unknown Angle next to angle C "ANGLE D"

1. Your given the angle 45 degrees.

2. (45 degree angle) can correspond to Angle D,

because of the alternate exterior angles definition-  two lines (angles) that are on diagonal opposite sides of one another outside of the two parallel lines.

3:  (45 degree angle) is an alternate exterior angle to its corresponding diagonal angle Angle D, this can also be said for (Angle C) and (angle B).

4: Now that the angles are known- (Angle C) is an alternate exterior angle to (Angle B).  (45 degree angle) is an alternate exterior angle to Angle D  

We can now use

The alternate Exterior angles Theorem- If two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.

4: we now know that (45 degree angle) is congruent  to Angle D. And (angle C) is congruent to  (angle B).

-Angle D and  (45 Degree angle) are both 45 degrees since they are both alternate exterior angles to one another. And  (Angle C) and (Angle B) have the same angle measure because they are alternate exterior angles to one another.

5: take a look at (angle C) and Angle D notice the transversal- (line that intersects two parallel lines), and how it creates a linear pair. Notice that the transversal has created the angles of (angle B) and (45 degree angle) to be linear pairs as well.

- Linear Pair definition- If two adjacent lines have rays pointing in opposite directions they are linear pairs.

Also the definition of a Linear Pair identifies as Supplementary. Supplementary is an angle that has a total of 180 degrees.

6: If (45 degree angle) and Angle B make a linear pair, and linear pairs have a total of 180 degrees, then solve for the angle measure of (angle B)

180= 45 + measure of (angle B)

180-45= 135

135 = measure of (angle B)

45 + 135= 180 degrees

7: The measure of (Angle B) is 135 degrees and since (Angle B) is congruent to (Angle C), the measure of (Angle C) is 135 degrees.

Therefore, (45 degree angle) and (Angle B) are 180 degrees total and (Angle C) and (Angle D) are 180 degrees total.

Now, that all exterior angle measures are found, it can be concluded that Angle A) is the same as the  total measure of its exterior angle, since it is the same line that makes up the linear pair.

Therefore, (Angle a) is 180 degrees.

To be eligible for certain tax programs you can't make $15,000 or less per year nor $45,000 or more per year. Create an inequality to represent the range of this scenario interpret a salary that would be eligible for the tax programs, and then Identify a salary that would not be eligible,

Answers

Answer:

there is ia $30,000 range in which you are eligible and $14,000 and $46,000 thousand dollars are not eligible

The range of this scenario interpret a salary that would be eligible for the tax programs,

45000 > n > 15000.

A salary that would not be eligible,

n ≤ 15000 and n ≥ 45000.

What is an inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

To be eligible for certain tax programs,

you can't make $15,000 or less per year nor $45,000 or more per year.

That means,

n > 15000

And n < 45000.

The range of this scenario interpret a salary that would be eligible for the tax programs,

45000 > n > 15000.

A salary that would not be eligible,

n ≤ 15000 and n ≥ 45000.

Therefore, the required values are given above.

To learn more about the inequality;

brainly.com/question/28823603

#SPJ2

28
Select the correct answer.
The drama club has records of the length of the annual school plays for the last 10 years.
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was reduced by 10 minutes every year.
Which graph models the piecewise function for the given situation?

Answers

The answer is c hope this helps

What is Judicial Review? Describe it in detail, please.

Answers

Judicial review, power of the courts of a country to examine the actions of the legislative, executive, and administrative arms of the government and to determine whether such actions are consistent with the constitution. Actions judged inconsistent are declared unconstitutional and, therefore, null and void. The institution of judicial review in this sense depends upon the existence of a written constitution.

There are 90 new houses being built in a neighborhood. Last month, 2/5 of them were sold. This month, 2/3 of the remaining houses were sold. How many houses are left to be sold???

Answers

Answer:

18

Step-by-step explanation:

2/5*90=36

90-36=54

2/3*54=36

54-36=18

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Answers

Answer:

q=rs

Step-by-step explanation:

r/q=s

*r

q=rs

Answer:

S=(Q-R)/RT

Step-by-step explanation:

please check if it is what you need

Jasmine has $26 to spend on binders and pens. The pack of pens cost $4.75. Each binder costs $5. Write an inequality to determine the maximum number of binders she can buy.

Answers

Answer

(5 x B) + 4.75 ≤ 26

B is the amount of binders.

8b
The following three shapes are based only on squares,
semicircles, and quarter circles. Find the perimeter and the area of
each shaded part. Give your answer as a completely simplified
exact value in terms of rt (no approximations).
Just the perimeter

Answers

Answer:

P = 36 - 9π

Step-by-step explanation:

Similar to solving the area

Answer: look at the pictureeeee

Ur welcome hahah

you can combine -2n + -2 to get -4n

True or False?​

Answers

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Element X is a radioactive isotope such that every 81 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 1800 grams, how much of the element would remain after 28 years, to the nearest whole number?​

Answers

Answer:

15?

Step-by-step explanation:

Answer:

Step-by-step explanation:

I needs help.. Geometry :(

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Answer:

9 lines of symmetry Hope it helps

Write an equation for the line passes through (0,0) and is parallel to a line that passes through (-5,3)and (2,1)

Answers

Answer:

28.9

Step-by-step explanation:

In ΔVWX, the measure of ∠X=90°, the measure of ∠W=9°, and WX = 8.7 feet. Find the length of XV to the nearest tenth of a foot.

Terry buys beads by the bag to make jewelry. There are 25 beads in each bag. Which
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Answers

25t = n
explanation: i looked up the question

Answer:

The one in yellow is answer

Step-by-step explanation:

hoped this helped!

Write as a Fraction 65%

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Answer:

13/20

Step-by-step explanation:

Help asap, will do brainliest!!! 5 more minutes!

John's family visited his grandmother over the weekend. The drive to her house took 2 hours at their usual speed. The trip home took 15 minutes longer because traffic was bad and they had to drive 5 mph slower. How many miles away is John's grandmother's house?

Answers

Answer:

135 miles

Step-by-step explanation:If you go 70 miles in ones hour, then you’ll go 140 miles in 2 hours. Then it took 6 minutes longer because of traffic, and in traffic he drove 1 mile excluding 5 because he was 5 mph slower.

find the measure of

Answers

X=80 Hope it’s right
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