For a certain online store, the distribution of number of purchases per hour is approximately normal with mean 1,200 purchases and standard deviation 200 purchases. For what proportion of hours will the number of purchases at the online store exceed 1,400 ?

Answers

Answer 1

Answer: 0.1587

Step-by-step explanation:

Given : The distribution of number of purchases per hour is approximately normal with mean 1,200 purchases and standard deviation 200 purchases.

i.e. [tex]\mu=1200,\ \ \sigma=200[/tex]

Let X denotes the number of purchases per hour.

Then ,

[tex]P(X>1400)=P(\dfrac{X-\mu}{\sigma}>\dfrac{1400-1200}{200})\\\\=P(Z>1)\ \ \[Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z<1)\ \ \ [P(Z>z)=1-P(Z<z)]\\\\\ =1-0.8413\ \ [\text{By p-value table}]\\\\= 0.1587[/tex]

So, the proportion of hours will the number of purchases at the online store exceed 1,400 =0.1587


Related Questions

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Vince weighs 160 pounds, and his friend Nadir weighs 140 pounds. Nadir calculated that his weight on another
planet would be about 56 lb. Approximately what would Vince weigh on the other planet?
40 lb
64 lb
76 lb
90 lb
Submit
Neyt

Answers

Answer:

76

Step-by-step explanation:

140-56= 84

140-84=56

160-84=76

5 and 3/4 divided by 1 and 1/2

Answers

Answer:Exact Form:

23/6

Decimal Form:

3.83

Mixed Number Form:

3 5/6

The Ford Mustang can travel at a rate of 160 miles in 2 hours. The Toyota Corolla can travel at a rate of 210 miles in 3 hours. Which car has faster rate?

Answers

Answer:

The Ford Mustang can travel at a faster rate.

Step-by-step explanation:

160/2 = 80/1   miles/hour -Ford Mustang

210/3 = 70/1    miles/hour - Toyota Corolla

f(x) = 3x5 – 15x3 + 12x

Answers

Answer:

f(x)=3⋅5−15⋅3+12x

Simplify each term

f(x)=15−45+12x

Subtract 45 from 15

f(x)=−30+12x

simplify the following expressions ( combine like-terms )

Answers

Answer:

6x

Step-by-step explanation:

Step 1: Write equation

x + 2x + 3x

Step 2: Combine like terms

3x + 3x

6x

What is 6x - 2 if x = 5

Answers

Replace x with 5 so
6 (5) -2
30-2
28

Answer:

28

Step-by-step explanation:

6x = 6 x 5 because x = 5.

6 x 5 = 30

30 - 2 = 28

x - 4 = 9
Help please

Answers

Answer:

13

Step-by-step explanation:

x-4=9

+4  +4

x=13

Answer:

13

Step-by-step explanation:

Step 1:

x - 4 = 9

Step 2:

x = 9 + 4

Answer:

x = 13

Hope This Helps :)

Four times a number
decreased by ten is 34.
Write an equation & solve.

Answers

4x - 10 = 34
4x +10 +10
4x = 44
4x/4 = 44/4
x = 11

The number of gift baskets Nikki can make varies directly with the amount of time she
1
spends making the baskets. She can make 4 baskets in hour.
2
How many baskets can Nikki make in 5 hours?

Answers

Answer:

She can make 20 baskets in 5 hours

Points A, B, and C are collinear. Point B is between A and C. BC=8x+709. AB=487+5x. AC=91. Find BC.

Answers

Answer:

           BC = 29

Step-by-step explanation:

Point B is between A and C and the points A, B, and C are collinear so:

AB + BC = AC

487 + 5x + 8x + 709 = 91

  13x + 1196 = 91

       - 1196      - 1196

   13x  =  - 1105

     ÷13     ÷13

    x = - 85

BC =  8x + 709 = 8(-85) + 709 = - 680 + 709 = 29

Which expression is equal to
7 + 6 x 5 – 2?
OA) 13 X 5-2
O B) 7+ 11 – 2
O C) 13 X 3
OD) 37 - 2​

Answers

Step-by-step explanation:

7+6x5-2

First we eliminate.

It isn't A. because they didn't use order of ops.

It isn't B. because they added 6 and 5 instead of multiplying.

Now, we simplify.

7+(6x5)-2

7+30-2

37-2

35

hope it helps!

If I pay $10.50 for 3 lbs. of peanuts, what is the unit rate?

Answers

Answer:

the answer is 3.5 tell me if you got it right

$3.50 per pound is the unit rate

Just divide 10.5 by 3
To get ur answer


Brainliest?

A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?

R0, 90°
R0, 180°
R0, 270°
R0, 360°

Answers

Answer:

d) 360

Step-by-step explanation:

Answer: D. R0, 360°

Step-by-step explanation: RIGHT ON EDGE 2023

How to reflect the triangle below across the line y = x.

Answers

Answer:

pre-image coordinates (x,y) imagine coordinates (y,x)

Step-by-step explanation:

bascially just switch the x and y coordinates and keep the sign :)

It cost Hudson $28.20 to send 188 text messages. How much would it cost to send 63 text messages? Good luck!

Answers

Answer: It would cost $9.45

$28.20/188= .15

then .15 times 63=9.45

A cable company charges a monthly fee for cable service plus an additional $3 for each premium channel. This is given by the function y = 3x + 28.5. George has cable service with 4 premium channels. Write the domain and range using set notation. What is the cost of George’s monthly cable service?

Answers

Answer:

domain all real numbers

range all real numbers

the cost of his monthly cable is $40.50 when you plug in 4

If a package of hot dogs cost 2.98 and a package of hot dog buns cost 2.16 what was the total expense?

Answers

Answer:

5.14$

Step-by-step explanation:

2.98$ +2.16$ = 5.14$

Evaluate the function x=-3 g(x) = - 4x

Answers

g(x) = - 4(-3)

= 12.........

NEED HELP ! It’s due tonight

Answers

The graph starts at a value in between 1 and 2 while the expression starts at a value of 6, therefore, the expression has a higher initial value.

Express 7.4 x 10² in standard form.


MATH​

Answers

Answer:

7.4 x 10²

7.4 *100

740

Step-by-step explanation:

10^2 = 100

7.4 × 10^2 = 7.4 × 100 = 740

Answer: 740

2 (4z-1)=3(z+2) simplify

Answers

Answer:

z=8/5

Step-by-step explanation:

2(4z-1)=3(z+2)

distribute the 2 and 3

8z-2=3z+6

move 2 to the other side by adding 2

8z=3z+8

move 3 to the other side by subtracting 3

5z=8

divide both sides by 5

z= 8/5

The equivalent value of the expression is z = 8/5 = 1.6

Given data ,

Let the equation be represented as A

Now , the value of A is

2 ( 4z - 1 ) = 3 ( z + 2 )

On simplifying the equation , we get

2 ( 4z - 1 ) = 3 ( z + 2 )

So , the left hand side of the equation is equated to the right hand side by the value of 3 ( z + 2 )

Opening the parenthesis on both sides , we get

2 ( 4z ) - 2 = 3z + 6

8z - 2 = 3z + 6

Subtracting 3z on both sides , we get

5z - 2 = 6

Adding 2 on both sides , we get

5z = 8

Divide by 5 on both sides , we get

z = 8/5

z = 1.6

Therefore , the value of z = 8/5 = 1.6

Hence , the expression is z = 8/5 = 1.6

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ6

The unit digit in the square of the number 132 is options are:- 1) 1 2) 2 3) 3 4) 4
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz answer fast

Answers

132*132= 17424

so unit digit is 4 Step-by-step explanation:

Drag the red vertical line to find the y–values: Orange graph:> when x 1, y = Blue graph: when x 1, y =

Answers

Answer:orange graph =-2

Blue graph -2 or 2

Step-by-step explanation:

The value of the orange graph at x=1 is y = [tex]\rm \pm[/tex]2,  the blue graph has the value y = -2.

What is a Graph?

A graph is a display of the ordered pairs of a function.

The orange graph is a parabola and the blue graph is a straight line.

The intersection of both the graphs is at x =1

when x =1 , the orange graph has a value y = [tex]\rm \pm[/tex]2

when x=1, the blue graph has value y = -2

Therefore, the value of the functions has been determined at x = 1.

The complete question is attached with the answer.

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7/20 write the decimal from of each rational number and determine

Answers

Answer:

0.35

Step-by-step explanation:

Step 1:

7/20 = 35/100

Step 2:

35 ÷ 100

Answer:

0.35

Hope This Helps :)

Someone pls help, I'm giving 14 brainly, this test is literally like my life and I need to pass. So someone pls help me...

Answers

Answer:

[tex]-\sqrt{79}[/tex] ;; irrational

0.253 ;; rational

0.412 ;; rational

[tex]\sqrt[3]{83}[/tex] ;; irrational

Step-by-step explanation:

ywww gl mann!

Find the distance between each pair of points.
E(1,3) B(4,6)

Answers

Answer:

The Distance is 4.7 which would round to 5

Step-by-step explanation:

Two circles have radii 16cm and 23cm. what is the difference between their circumference ?​

Answers

Answer:

43.96 cm

≈ 44 cm

Step-by-step explanation:

Hi !

C₁ = 2π×r₁

C₂ = 2π×r₂

C₂ - C₁ = 2π×r₂ - 2π×r₁

= 2π(23cm - 16cm)

= 2×3.14×7

= 43.96 cm

≈ 44 cm

Good luck !

Answer:

44 cm

Step-by-step explanation:

r = 16,R = 23;2πR - 2πr

2π(R - r)

2 ×22/7(23 -16)

2×22/7×(7)

2×22=44cm...

If this answer helps you plz mark as brainlist..

which grows faster linear or exponential

Answers

exponential graphs grow faster

Combining Like Terms

Equation: 5x + 7y -2x + 3y

So I get why it could be simplified into 5x - 2x and 7y + 3y, but how do we get the operation to combine those two?
What I mean is what would go in the underline here -
5x - 2x _ 7y + 3y
Explanation please not just answer

Answers

it would be a + because the 7 in 7y is positive, therefore it would be added to the X’s. if it was -7y, then the underline would be a –.

Help me out im stuck

Answers

Answer:

m<1 = 57

Step-by-step explanation:

they are vertical angles

Answer:

C. 57

Step-by-step explanation:

Angles verticle from each other are the same measure.

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