The distribution of annual profit at a chain of stores was approximately normal with mean \mu = \$66{,}000μ=$66,000mu, equals, dollar sign, 66, comma, 000 and standard deviation \sigma = \$21{,}000σ=$21,000sigma, equals, dollar sign, 21, comma, 000. The executives conducted an audit of the stores with the lowest 20\%20%20, percent of profits. What is closest to the maximum annual profit at a store where the executives conducted an audit?

Answers

Answer 1

Answer:

The closest to the maximum profit is  [tex]x = \$ 83682[/tex]

Step-by-step explanation:

From the question we are told that

  The  mean is  [tex]\mu = \$66,000[/tex]

   The standard deviation is  [tex]\sigma  = \$ 21000[/tex]

   The percentage of profit is  20%

Generally the closest to the maximum annual profit at a store where the executives conducted an audit is mathematically evaluated  as follows

     [tex]P(X >  x ) =  0.20[/tex]

=>  [tex]P(X >  x ) = P(\frac{X -x}{\sigma }  >  \frac{x -66000}{21000} ) =  0.20[/tex]

From the z-table  the z-score for  0.20  is  

    [tex]z-score = 0.842[/tex]

So

     [tex]\frac{x -66000}{21000} = 0.842[/tex]

=>   [tex]x = \$ 83682[/tex]

Answer 2

Answer:

48,000

Step-by-step explanation:


Related Questions

Jayvon has 33.6 points in a competition. He loses 5.5 points,
Write and then evaluate an addition expression to determine Jayvon's current points.

Answers

Answer:

33.6+(-5.5)=28.1

Step-by-step explanation:

Since positive times negative is equal to negative, we can multiply -5.5 by an addition symbol, making it an addition problem, and making it the same expression.

To evaluate the expression, we can do 33.6-5.5.

When adding or subtraction decimals, write it stacked like a normal problem, and line up the decimal places, like so.

33.6-

 5.5

Then you can subtract normally, getting 28.1

If ∠1 and ∠2 are complementary, m∠1 = (8x-6)°, and m∠2 = (14x+8)°
URGENT PLEASE HELP

Answers

Answer:

Step-by-step explanation:

[tex]\large\underline{\bf\red{Solution:-}}[/tex]

Given : ∠1 + ∠2 = 90° ( complementary )

To Find : The value of x & the two angles .

And , m∠1 = ( 8x - 6 ) ° & m∠2 = ( 14x + 8 )° .

On adding the two Angles their sum will be 90 ° since they are two complementary angles .

⇒ ( 8x - 6 )° + ( 14x + 8 )° = 90° .

⇒ 22x + 2° = 90° .

⇒ 22x = (90 - 2)°

⇒ 22x = 88° .

⇒ x = 88°/22 .

x = 4° .

Hence the value of x is 4° .

So ,

First angle = 8x - 6 = 8×4-6=32-6=26°Second angle = 14x +8 = 14(4)+8 = 56+8 = 64° .

One taxi company charges $12.50 plus $0.15 per mile for a fare to the airport. Another taxi
company charges $6.50 plus $0.35 per mile for the same fare. For how many miles will the two
companies charge the same amount?

HELP ME PLEASE ‼️‼️‼️

Answers

Answer:

Step-by-step e I can use inequalities to solve word problems with one or more ... Money: The coupon is good for any item that costs less than $10. ... than or equal to ban ... Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. ... has a cell phone plan that charges $0.07 per minute plus a monthly fee of $19.00.xplanation:

Helpppppppppppppppppppppppp

Answers

Answer:

1A, 2C, 3X, 4A, 5B, 6W, 7X

Step-by-step explanation:

Im not sure about these answers, can you have the same letter for a different number?

whats the product of (3-2i) and (7+6i)?​

Answers

Answer: the product is = 33+4i

Step-by-step explanation:

21+4i-12i^2

21+4i-12(-1) i^2=-1

21+4i+12

your answer would be 33+4i .

Which expression is equivalent to 1/4x+3−1/3x+(−2)?

Answers

Answer:

7/12x+5

Step-by-step explanation:

Linda has outgrown the bike she rode when she was small. So, for her twelfth birthday, her parents surprise her with a five-speed Blaze Rider 2000! Linda has never had a bike with multiple speeds before, and she is eager to learn how it works. She starts by testing the middle speed. There is a proportional relationship between the number of times Linda pedals, x, and the number of times the wheels rotate, y. The equation that models this relationship is y=3x. How many times do the wheels rotate when Linda pedals 2 times? Write your answer as a whole number or decimal

Answers

Answer:

6 times

Step-by-step explanation:

Given the proportuonal relationship between exists between the number times Linda pedals (x) and the number of times wheels rotate (y) as ;

y = 3x

How many times do the wheels rotate when Linda pedals 2 times

Here, x = 2

From ; y = 3x

y = 3(2) = 6

Hence, wheel rotates 6 times.

Answer:

Step-by-step explanation:

whixh equation shows the negative one property of division ​

Answers

Answer:#3

Step-by-step explanation:

Ur welcome

can any one help me plz

Answers

She has 60in total and 10 pieces of cut ribbon

I need helpppp!???
What is the slope of the line???

Answers

Answer:

slope: -3/-4

Step-by-step explanation:

theres the answer

Answer:

3/4

Step-by-step explanation: you start at the point (0,-1) and rise 3 and run 4 to get to the point (4,2)

The perimeter of a rectangle is 22cm. The area is 28cm squared, what are the length of the sides?

Answers

I just need to fill 20 characters, the answer is right there on the sheet

What is the equation of this line?
A. y=43x−4

B. y=34x−4

C. y=−4x+34

D. y=−4x+43

Answers

Answer:

Y=4/3x - 4

Step-by-step explanation:

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is y=(4/3)x-4.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The slope of the line can be calculated with the two points that are present on the line, in this case, these points are (3,0) and (0, -4). Therefore, the slope is,

Slope, m = (-4 - 0)/(0 - 3) = -4/-3 = 4/3

The y-intercept of the line is -4, therefore, the equation of the line can be written as,

y = mx + c

y = (4/3)x - 4

Hence, the equation of the given line is y=(4/3)x-4.

Learn more about Equation of Line here:

https://brainly.com/question/21511618

#SPJ2

A shelf in the basement held 7 one-gallon cans that were each 3/4 full of paint of the same color. Hand combines all of the paint. Hank used 3 1/3 cans of the combined paint a hallway. How many gallons of paint were left?​

Answers

Answer:

1.91666667

Step-by-step explanation:

7 times 3/4 = 5.25

5.25 - 3 1/3 = 1.91666667

Each serving of a cereal is 80 calories. Which expression can be used to find the number of calories in 3 servings?
80 times 3
80 divided by 3
3 divided by 80
80 minus 3

Answers

Answer: 80 times 3

Step-by-step explanation: Each serving is 80 calories so multiply to get the total.

Answer:

A

Step-by-step explanation:

80 x 3

PLEASE HELP I ONLY NEED# 8,10,12,19,20 AND 22 DONE ​

Answers

This is the answer hope you get it :)

There are 20,000 animals in a zoo. There are 650 mammals and 225 reptiles that live in the zoo. what fraction of all the animals are a)reptiles b)mammals

Answers

Answer:

You have to simplify to the lowest common denominator

Step-by-step explanation:

650/20000=13/400 mammals

225/20000=9/800 reptiles

875/20000=7/160 mammals or reptiles

Hope this helped

10x^2-13x-3 how to factor

Answers

(2x-3)(5x+1)
That’s just kinda how math works man

Toby's principal wants to put a new fence around the playground. The playground is a rectangle in shape.
It is 75.23 meters wide and 105.55 meters long. Which expression shows how many meters of fencing he needs in all?
A-75.23 + 75.23 + 75.23 + 105.55
B-75.23 + 105.55 + 105.55 + 105.55
C-75.23 + 75.23 + 105.55 + 105.55
D-75.23 + 75.23 + 75.23 + 75.23

Answers

C cause if you have two side that are wide you need two 75.23 and if you have two longs you’ll need two 105.55 hope this makes sense :)

Sofia has an action figure collection. She keeps 185 of the action figures on her wall, which is 37% of her entire collection. What is the total number of action figures in Sofia's collection?

Answers

Answer:

222

Step-by-step explanation:

Answer:

500 figures.

Step-by-step explanation:

We know that 185 figures is 37% of her entire collection.

Let c represent the total amount of figures.

Since 185 is 37% or 0.37 of her total collection, we can write the equation:

[tex]0.37c=185[/tex]

Remember that the keyword of tells us it's multiplication.

Therefore, to find the number of figures in her total collection, divide both sides by 0.37:

[tex]c=\frac{185}{0.37}[/tex]

Evaluate. Use a calculator. So:

[tex]c=500[/tex]

Sofia's total collection has 500 figures.

A bed frame normally weighs 60 pounds. A new, stronger material increases the duriability of the frame but makes it weigh 30% more. How many pounds does the new frame weigh

Answers

60 times 0.30 = 18 - 60 = 42! Sorry if it’s wrong I tried

2 trapezoids are shown. Trapezoid 1 has points A (negative 7, 0), B (negative 5, 3), C (negative 1, 3), and D (negative 1, 0). Trapezoid 2 has points A prime (1, negative 3), B prime (3, 0), C prime (7, 0), and D prime (7, negative 3).
Which rule describes the translation?

Answers

Answer:

The answer is C

Step-by-step explanation:

Because I said so

Answer:

C. (x, y) -> (x + 8, y - 3)

Step-by-step explanation:

Hope this helps! :D

Solve 7 - 2x = x - 14

Answers

Answer:

7 = x

Step-by-step explanation:

7 - 2x = x - 14

7 + 14 = x + 2x

21 = 3x

7 = x

Hope this helps!

PLS!!!!! HELP ME!!! I WILL MARK U!!!

Answers

Answer:

-5

Step-by-step explanation:

Answer:

The coefficient is the number before the variable. In this, they are asking for the first term which is -5m. The coefficient is -5.

Step-by-step explanation:

Al terminar una obra tres albañiles cobran $16800 y se dividen el dinero a razón 5:7:9. Calcular cuánto dinero le corresponde a cada uno. Nota: colocar las cantidades de menor a mayor separadas únicamente por comas. Recuerda que no debes colocar unidades

Answers

Answer:

$4000, $5600 and $7200

Step-by-step explanation:

Let the money be 5x,7x and 9x.

Total collection of money is $16,800

ATQ,

5x+7x+9x=$16,800

21x=$16,800

[tex]x=\dfrac{16800}{21}\\\\x=\$800[/tex]

So, the values are :

5x=5(800) = $4000

7x=7(800) = $5600

9x=9(800) = $7200

What is the equation of the line that passes through the point (-5,6) and has a slope of 0

Answers

y = 0x + 6 or y = 6
you substitute the points into the equation y=mx+b, m is the slope and b is the y-intercept. Solve for anything you need or missing from the equation. Original equation is y=mx+b so you only have to put in the m and b.

The equation of the line that passes through the point (-5,6) and has a slope of 0 is y = 6

Equations are expressions that related two or more expressions together using an equal sign.

The formula for finding the equation of a line in point-slope form is expressed as:

y-y0 = m(x-x0) where:

m is the slope(x0, y0) is the intercept

Given the following

m = 0

(x0, y0) =  (-5, 6)

Substitute the given values into the formula

y - 6 = 0 (x - (-5))

y - 6 = 0 (x + 5)

y - 6 = 0

y = 6

Hence the equation of the line that passes through the point (-5,6) and has a slope of 0 is y = 6

Learn more here: https://brainly.com/question/12441680

what is 9 1/2 - 5 7/12 =​

Answers

Answer:

47/12, or 3 11/12

Step-by-step explanation:

9 1/2 - 5 7/12 > convert to improper fractions

19/2 - 67/12

make same denominator (12)

19/2 * 6 = 114/12

114/12 - 67/12 = 47/12

Answer:

47/12

Step-by-step explanation:

19/2-5 7/12= 19/2- 67/12=47/12

Determine if the equations are parallel, perpendicular, or neither.
5x + 3y = 3 and 3x + 5y = -25

Answers

Answer:

neither i think..

Step-by-step explanation:

Answer:

niether

Step-by-step explanation:

what is $500,000,000 founded off to the nearest tenth​

Answers

Answer:

is this a real question???

Step-by-step explanation:

i’ll mark brainlest !! (60 points )

Answers

Answer:

B and D are the answer's.

Step-by-step explanation:

What is a trinomial in a problem

Answers

A polynomial with three terms is called a trinomial. Trinomials often but not always! have the form x2 + bx + c. At first glance, it may seem difficult to factor trinomials, but you can take advantage of some interesting mathematical patterns to factor even the most difficult-looking trinomials.


It’s a lot but hopefully I help:)
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