Suponga que el monto promedio de compras por cliente de una empresa es de $128.45 y una desviación de $18.26

Answers

Answer 1

Answer:

Asumiendo que la distribución de las compras sea normal, tenemos:

_

x = 128.45

σ = 18.26

a)

x = 100

Normalizamos:

.......... _

z = (x - x) / σ

z = (100 - 128.45) / 18.26

z = -28.45 / 18.26

z ≅ -1.56

Buscando en la tabla de áreas bajo la curva normal tipificada (de 0 a z) obtenemos que para z = 1.56 la probabilidad es de 0.4406 = 44.06%. Esta es P(-1.56 < z < 0) = P(0 < z < 1.56).

Como preguntan P(x > 100), tenemos que

P(x > 100) = 0.5 + P(-1.56 < z < 0) = 0.5 + 0.4406 = 0.9406

La probabilidad de que un cliente compre más de $100 es del 94.06%.

=======

b)

x = 150

Normalizamos:

.......... _

z = (x - x) / σ

z = (150 - 128.45) / 18.26

z = 21.55 / 18.26

z ≅ 1.18

Buscando en la tabla de áreas bajo la curva normal tipificada (de 0 a z) obtenemos que para z = 1.18 la probabilidad es de 0.3810 = 38.10%. Esta es P(0 < z < 1.18).

Como preguntan P(x > 150), tenemos que

P(x > 150) = 0.5 - P(0 < z < 1.18) = 0.5 - 0.3810 = 0.1190

La probabilidad de que un cliente compre más de $150 es del 11.90%.

=======

c)

x = 120

Normalizamos:

.......... _

z = (x - x) / σ

z = (120 - 128.45) / 18.26

z = -8.45 / 18.26

z ≅ -0.46

Buscando en la tabla de áreas bajo la curva normal tipificada (de 0 a z) obtenemos que para z = 0.46 la probabilidad es de 0.1772 = 17.72%. Esta es P(-0.46 < z < 0) = P(0 < z < 0.46).

Como preguntan P(x < 120), tenemos que

P(x < 120) = 0.5 - P(-0.46 < z < 0) = 0.5 - 0.1772 = 0.3228

RESPUESTA:

La probabilidad de que un cliente compre menos de $120 es del 32.28%


Related Questions

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Answer:

yes i can but will have to get back to you in about half a hour just doing maths atm with the teacher

Step-by-step explanation:

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Answer:

Step-by-step explanation:

One radius of a circle is the same length as any other radius of the same
circle.
A. True
B. False

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A. True

In a circle, all radii have the same length. The radius is the distance from the center of the circle to any point on its circumference. Since the center is equidistant from all points on the circumference, all radii will have the same length. Therefore, the statement is true.

How much is 331 ft in meters?

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it would be 100.889, darling. hope this helps. <3

In her first basketball game, Charlotte scored 21 points. In the next game, she scored 15
points. By what percent did her score decrease?
ASAP

Answers

Answer:

28.57%

Step-by-step explanation:

Find the percent decrease by dividing the change in the number of points by the original number of points, then multiplying it by 100:

((21 - 15) / 21) x 100

(6 / 21) x 100

= 28.57

So, her score decreased by approximately 28.57%

I WILL GIVE BRAINILY PLSSSSS HELPLPPP
Which linear function is increasing at a greater
rate? Explain your reasoning.
Linear Function 1 has an x-intercept of (4, 0) and
a y-intercept at (0, 22)
Linear function 2 includes the points in the table
below

Answers

Answer:

Linear function 2

Step-by-step explanation:

If Linear function 1 has an x-intercept of 4,0 and a y-intercept of 0,22

It's a negative equation, Its not increasing Its decreasing.

So it must be Linear function 2

answer:
the second function

step-by-step explanation:
“increasing at a greater rate” is the slope
Function 1 has points at (4, 0) (0, 22)
to find the slope it would be
m = y2 - y1 / x2 - x1
m = 22 - 0 / 0 - 4
m = 22 / -4
m = -5.5
Function 2 we can take any two points from the table
I’m going to take (1, 0) and (3, 1)
m = 3 - 1 / 0 - 1
m = -2 / -1
m = 2 / 1
m = 2
because function 1 is negative function 2 would be increasing at a greater rate.

what percent of 160 is 56?

Answers

Answer:

35%

Step-by-step explanation:

[tex] \frac{56}{160} = \frac{7}{20} = 0.35 = 35\%[/tex]

neeeeeeeeeeeeed help​

Answers

Answer:

[tex]\huge\boxed{\fcolorbox{green}{pink}{Answer}}

[/tex]

D. 34 lakh

a. -3/2
b. 0
c. 3/2
d. DNE

Answers

the answer would be cA

In this composite function, (f◦g)(x) where f(x)=(X-3) and g(x)=X^2 what is (f◦g)(x) when x=1?

Answers

Answer:

When x = 1, (f◦g)(x) is -2.

Step-by-step explanation:

Composite function:

The composite function of f and g is given by:

[tex](f \circ g)(x) = f(g(x))[/tex]

In this question:

[tex]f(x) = x - 3, g(x) = x^2[/tex]

Composite function:

The composite function is:

[tex]f(g(x)) = f(x^2) = x^2 - 3[/tex]

At x = 1

[tex](f \circ g)(1) = 1^2 - 3 = 1 - 3 = -2[/tex]

So

When x = 1, (f◦g)(x) is -2.

Which variable will you choose to eliminate? How? -3x -8y=-24 and
3x - 5y= 45

Answers

Answer:

Lets choose y

-8y=3x-24y=-3/8x+3

Plug in

3x+15/8x-15=45 39/8x= 60 x=480/39

Answer:

I'll choose 'x' variable first to eliminate because -

-3 (coefficient of 'x' in Eqn.1)  & 3 (coefficient of 'x' in Eqn.2) are additive inverses of each other , so they can be easily eliminated by simply adding those equations. It can be also solved by using elimination method but you'll need to multiply -1 with either Eqn.1 or Eqn.2 because in elimination method , a variable can be eliminated only when their coefficients are numerically equal (along with their sign).

Step-by-step explanation:

Eqn.1 → -3x - 8y = -24

Eqn.2 → 3x - 5y = 45

If we'll add both the equations , then '3x' would be getting cancelled first.

⇒ [tex](-3x - 8y) + (3x - 5y) = (-24) + (45)[/tex]

⇒ [tex]3x - 3x - 8y - 5y = 45 - 24[/tex]

⇒ [tex]-13y = 21[/tex]

⇒ [tex]y = \frac{-21}{13}[/tex]

Putting the value of y in eqn.2 ,

⇒ [tex]3x - 5(\frac{-21}{13}) = 45[/tex]

⇒ [tex]3x + \frac{105}{13} = 45[/tex]

⇒ [tex]3x = 45 - \frac{105}{13}[/tex]

⇒ [tex]3x = \frac{585 - 105}{13} = \frac{480}{13}[/tex]

⇒ [tex]x = \frac{480}{13 \times 3} = \frac{480}{39}[/tex]

Reducing the fraction gives ,

⇒ [tex]x = \frac{160}{13}[/tex]

I need the answer fast

Answers

Answer:

84

Step-by-step explanation:

Answer:

it would either be 2 or 26

Step-by-step explanation:

pls mark braainlieszt

Solve 7x2 + 1 = 29.

A) x = +1.5
B) x= +1
C) x = +2.5
D) x = +2

Answers

Answer:

the answer is D.

Step-by-step explanation:

Find the volume of a pyramid with a square base, where the perimeter of the base is 10.4\text{ in}10.4 in and the height of the pyramid is 9.6\text{ in}9.6 in. Round your answer to the nearest tenth of a cubic inch.

Answers

Answer:

21.6in^3

Step-by-step explanation:

\text{Volume of Pyramid:}

Volume of Pyramid:

V=\frac{1}{3}Bh

V=  

3

1

​  

Bh

Where B is the area of the base

\text{Perimeter of base}:

Perimeter of base:

\,\,10.4

10.4

\text{Side length of base}:

Side length of base:

\,\,\frac{10.4}{4}=2.6

4

10.4

​  

=2.6

Divide perimeter of square by 4 to get side length

\text{Area of base}:

Area of base:

\,\,2.6^2=6.76

2.6  

2

=6.76

Area of a square is s^2

B=

B=

\,\,6.76

6.76

h=

h=

\,\,9.6

9.6

given

V=

V=

\,\,\frac{1}{3}Bh

3

1

​  

Bh

V=

V=

\,\,\frac{1}{3}(6.76)(9.6)

3

1

​  

(6.76)(9.6)

Plug in

V=

V=

\,\,21.632

21.632

V\approx

V≈

\,\,21.6\text{ in}^3

21.6 in  

3

plz help 5th grade work

Answers

Answer:

81 , 24 AND 108

Step-by-step explanation:

One number is three less than another number. Their product is 40. Find the numbers.

Answers

Answer:8 and 5

Step-by-step explanation:8 times 5 is 40 and 5 is 3 less than 8

PLEASE HELP!
THE QUESTION IS IN THE PHOTO!
For What value of x is ABC~DEF?​

Answers

Answer:

x=12

Step-by-step explanation:

Since the triangles are congruent, you can use either B or D to solve for x.

7x+10=94

7x=94-10

7x=84

x=84÷7

x=12

An online furniture store sells chairs for $200 each and tables for $500 each. Every day, the store can ship no more than 29 pieces of furniture and must sell at least $8800 worth of chairs and tables. If 14 chairs were sold, determine all possible values for the number of tables that the store must sell in order to meet the requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

Answers

Answer:

12, 13 ,14 ,15

Step-by-step explanation:

200x14=2,800

8,800-2,800=6,000

6,000/500=12

12+14=26

13+14=27

14+14=28

14+15=29

Two lines intersect, and you know the measure of one angle. How can you determine the measures of the other three angles

Answers

Answer:

Opposite angles are the same measure.

Angles around a point = 360°

When you add all the angles, you get 360.

Angle a and b would measure the same and so would angle d and c. So you double the measure for one of those angles and subtract it from 360.

Then, you half that value( divide by 2) and this is to find the measure of the other angle

The answer is angle around the point =360

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Answers

9514 1404 393

Answer:

  (d)  y = 1/2sin(2x)

Step-by-step explanation:

The sin(x) function will have a maximum value of 1 and a period of 360°. The function plotted is a sine function with a maximum value of 1/2 and a period of 180°.

For a function g(x) = a·f(b·x), the vertical scale factor is 'a', and the horizontal compression factor is 'b'. Our sine function has a vertical scale factor of 1/2, and a horizontal compression of 360/180 = 2, so the transformed function is ...

  y = 1/2sin(2x)

Tess and Dan have $24.00 each to spend at a book fair, where all students receive a 15% discount. They both want to purchase a copy of the same book, which normally sells for $24.50 plus 10% sales tax. To check if she has enough to purchase the book, Tess takes 15% of $24.50 and subtracts that amount from the normal price. She takes 10% of the discounted selling price and adds it back to find the purchase amount. Dan takes 85% of the normal purchase price and then computes 110% of the reduced price. Is Tess correct? Is Dan correct? Do they have enough money to purchase the book? Explain your answer using complete sentences.

Answers

Answer:

Tessa is correct. They have enough money.

Please read Comfort Zone on Wattpad!!!!!!

a car gets 30 miles per gallon of gas. at this rate, how many gallons would it take for the car to go 360 miles

Answers

Answer:

The car would need 12 gallons of gas to go 360 miles

Step-by-step explanation:

360÷30=12

Answer:

it would take 12 gallons of gas

Step-by-step explanation:

[tex]360 \div 30 = 12[/tex]

Line m contains the points G(-2,3) and H (5,1).
What is the slope of a line perpendicular to line m?

Answers

Answer:

3.5

Step-by-step explanation:

Given points are ,

G(-2,3) H (5,1)

Firstly find the slope of the line passing through these two points . Therefore ,

=> m = y₁ - y₂ / x₁ - x ₂

=> m = ( 3 - 1)/(-2-5)

=> m = -2/7

The slope of line perpendicular to it will be negative of reciprocal of the slope . Let m' be the slope of perpendicular line .

=> m' = -1/m

=> m' = -1 ÷ -2/7

=> m' = -1 × -7/2

=> m' = 7/2 = 3.5

Hence the slope of the line perpendicular to the given line is 3.5 .

HELP PLEASEEEEEEE!!!​

Answers

The first one- top left

Answer:

first one , I believe, sorry if incorrect

Find the value of x UREGENT HELP PLEASE

Answers

Answer:

15.3

Step-by-step explanation:

Cos 32 = x/18

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256-x²/4
factorise in process​

Answers

Answer:

[tex]16^2-(\dfrac{x}{2})^2=(16+\dfrac{x}{2})(16-\dfrac{x}{2})[/tex]

Step-by-step explanation:

The given expression is : [tex]256-\dfrac{x^2}{4}[/tex].

We need to factorize it.

We know that, 16² = 256

So,

[tex]256-\dfrac{x^2}{4}=(16)^2-(\dfrac{x}{2})^2[/tex]

We know that, [tex]a^2-b^2=(a-b)(a+b)[/tex]

[tex]16^2-(\dfrac{x}{2})^2=(16+\dfrac{x}{2})(16-\dfrac{x}{2})[/tex]

Hence, this is the required solution.

15 POINTS. EZ QUESTION.
The pentagon below has been reduced by a scale of 0.5.

A pentagon with an area of 120 inches squared.

What is the area of the reduced pentagon?
30 in.²
60 in.²
90 in.²
120 in.²

Answers

Answer:60 inches squared

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

bc i got it right on edg test/ exam 2021

what is 1+1-(3x3)-(1x9)

Answers

1+1-(3x3)-(1x9)
The answer is -16

Draw a picture of a line and a point that is not on the line. Draw in the shortest distance from the point to the line, What do you notice about the line connecting the point and the line to the original line?

Answers

Answer: The line connecting the point and the line is perpendicular to the original line.

Step-by-step explanation:

(Forgot the name but there is also a theorem stating that the shortest distance between a point and a line is the one that is perpendicular)

A community organization wants to determine area support for the construction of a new skate park in the center of town. The organization decides to survey 500 people to see whether they are willing to have their taxes increased for one year to fund the construction of the skate park. What is the best way to randomly choose these 500 people? O Select the first 500 taxpayers listed at the town hall. O Survey the first 500 people who visit the existing skate park. O Assign each taxpayer in town a number and then randomly select 500 of these numbers. O Choose 100 taxpayers from 5 different age groups in town.
PLEASE HELP!!!!​

Answers

Answer:  I just took the test, and the answer is 'Assign each taxpayer in town a number and then randomly select 500 of these numbers.'

Step-by-step explanation: Happy Pride Month!!

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