When Brooklyn commutes to work, the amount of time it takes he
normally distributed with a mean of 54 minutes and a standard deviation of 4
minutes. Using the empirical rule, what percentage of her commutes will be between
50 and 58 minutes?

Answers

Answer 1

Answer:

Step-by-step explanation:

68

Answer 2

The percentage of her commutes will be between 50 and 58 minutes is 68%.

What Is an Empirical Rule in Statistics?

The empirical rule, also known as the three-sigma rule or the 68-95-99.7 rule, is a statistical rule that states that almost all observed data for a normal distribution will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).

Given: mean=54, standard deviation =4 min

The Empirical says,

mean-standard deviation= 54-4=50

mean - standard deviation= 54+4= 58.

Now,

P([tex]\mu[/tex]-6 ≤ X ≤  [tex]\mu[/tex] +6) ≈0.68

Hence, percentage of her commutes will be between 50 and 58 minutes is 68%.

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Related Questions

Jeremiah and Tristan work at a dry cleaners ironing shirts. Jeremiah can iron 35 shirts per hour, and Tristan can iron 20 shirts per hour. Jeremiah and Tristan worked a combined 17 hours and ironed 490 shirts. Determine the number of hours Jeremiah worked and the number of hours Tristan worked.

Answers

The number of hours Jeremiah ironed = 10 hrs
The number of Hours Tristan ironed = 7 hrs

I need the answer please asp

Answers

Answer:

The answer is a isosceles right I think.

The population in Mittsville since 2000 is modeled by the function, P(x) = 20000 x 0.93x where x refers to the number of years since 2000. Complete the following sentence.

The population has been ( ) every year.
A= increasing
B= Decreasing

Answers

B= decreasing is you’re answer

Question 5 of 10
The graph shows the function f(x) = 2^x.
What is the value of x when f(x) = 4?

Answers

Answer:

A. 2

Step-by-step explanation:

Our y-axis is equivalent to f(x), so we can use it to find the value of x when f(x) = 4. If we look at the graph, we can find that an f(x) value of 4 (or, a y-value of 4) has an x-value of 2.

We could also figure this out by making f(x) equal to 4 in the equation:

[tex]4=2^{x}[/tex]

2 times itself how many times is equal to 4? Well, 2 times 2 is equal to 4, so 2 times itself two times is equal to 4. x is equal to 2:

[tex]4=2^{2}[/tex]

Either way works. If you have any more questions, let me know! :)

Ax + 4 = 6x + B
What values of A and B will result in an equation with infinite solutions? Enter the answers in the boxes.
A=
B=

Answers

Answer:

A =  6  +  B /x −  4 /x

B  =  Ax  +  4  −  6 x

x = b-4/a-6

Step-by-step explanation:

hope this helps :)

The values of A and B that will result in an equation with infinite solutions are 6 and 4

Infinite solution of an equation

For an equation to have infinite number of solutions, the equations on both sides must be the same,

Given the equation

Ax + 4 = 6x + B

If the equation has infinite number of solution, then

Ax = 6x

A= 6

Similarly

4 = B

B = 4

Hence the values of A and B that will result in an equation with infinite solutions are 6 and 4

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Find the surface area of the following square pyramid.

Answers

The surface area is 640 square units

Why is a two-way table helpful for looking at data?

Answers

Answer:

Because they are often used to analyze survey results.

Step-by-step explanation:

Answer:

It shows what percent of data points fit in each category

Solve for x. The triangles in each pair are similar.
AJKL ~ AQRS
8x + 10
L L
K
110
Q
9
S
R
11
x=

Answers

Answer:

look at the photo...............

Which relationships describe angles 1 and 2? Select each correct answer.

Adjacent angles

Vertical angles

Complementary angles

Supplementary angles

Answers

Answer:

They are adjacent angles and supplementary angles.

Step-by-step explanation:

∠1 and ∠2 are supplementary angles because they form a linear pair who sum = 180°

∠1 and ∠2 are adjacent angle because they are next to each other or you can say that they share a common side and have the same vertex.


Suppose you obtain a $4,000 T-note with a 4% annual rate, paid half-yearly, with maturity in 5 years. How much (simple) interest will you earn?

Answers

Principal x Rate x Time = Interest

4000 x .04/2 x 5x2 = 800

Which of the following statements is TRUE?
A. The slope of the line 3y - 2x = 4 is -2/3
B. The slope of the line y = 5 is undefined.
C. The graph of the line x = 2/3 is parellel to the x axis
D. The line that falls from left to right has a negative slope.

Pls Help :))

Answers

Answer:

I believe that B is true because the slope of y=5 is 0 so there isnt really a slope for it.

Step-by-step explanation:

What is the value of t?

Answers

Answer:

53°

Step-by-step explanation:

83 + 44 + x = 180

=> 127 + x = 180

=> x = 180 - 127

=> x = 53°

Hoped this helped.

A system of two equations is shown below:

Equation C: a = 2b + 7
Equation D: a = 5b − 3

What value of a can be substituted into equation D to solve the system of equations?
(look at picture for details)

Answers

Answer:

2b+7

Step-by-step explanation:

what is the interval between each tick mark on the top number line

Answers

Answer:

a. 1

b. 0.1

Step-by-step explanation:

Find the equation of this line plz help

Answers

Answer:

y = - [tex]\frac{1}{2}[/tex] x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (4, - 1) ← 2 points on the line

m = [tex]\frac{-1-1}{4-0}[/tex] = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex]

The line crosses the y- axis at (0, 1 ) ⇒ c = 1

y = - [tex]\frac{1}{2}[/tex] x + 1 ← equation of line

The Hu family goes out for lunch, and the price of the meal is $51. The sales tax on the meal Is 7%, and the
family also leaves a 15% tip on the pre-tax amount.
What Is the total cost of the meal?
The total cost of the meal is $

Answers

9514 1404 393

Answer:

  $62.22

Step-by-step explanation:

Let m represent the pre-tax, pre-tip price of the meal. Then the total cost is ...

  m + tax + tip

  = m + 7%·m +15%·m

  = m(1 +7% +15%) = 1.22m

  = 1.22($51) = $62.22

The total cost of the meal is $62.22.

20. The number of babies out of 1,000 that die during their first year of life is called:
A. infant morbidity rate
B. infant mortality rate
C. fertility rate
D. death rate

Answers

The answer is B

the explanation is not needed

Answer:

B

Step-by-step explanation:

the amswer will be infant mortality rate

Rachel has 320 books she keeps 45 books and packs up the rest each box will hold 23 books how many boxes will he need to pack all his books

Answers

Answer:

Rachel will need 12 boxes to pack up their books.

Step-by-step explanation:

320 - 45 = 275

275 divided by 23 = 11.95

round to 12

A football team charges $30 per ticket and averages 20,000 people per game. Each person spend an average of $8 on concessions.For everydrop of $1 in price,the attendance rises by 800 people.What ticket price should the team charge to maximize total revenue? Calculate the TR max.

Answers

The  price that would maximize total revenue would be $ 23.

As long as that a football team charges $ 30 per ticket and averages 20,000 people per game, and each person spend an average of $ 8 on concessions, and for every drop of $ 1 in price, the attendance rises by 800 people, to determine what ticket price should the team charge to maximize total revenue, the following calculation must be performed:

20,000 x 30 + 20,000 x 8 = 760,000 24,000 x 25 + 24,000 x 8 = 792,00024,800 x 24 + 24,600 x 8 = 792,00025,600 x 23 + 25,600 x 8 = 793,600  26,400 x 22 + 26,400 x 8 = 792,000

Therefore, the ticket price that would maximize the total revenue would be $ 23.

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PLEASE HELP ME PLEASE IM DESPERATE ILL MARK BRAINLIEST

Answers

Answer:36in

Step-by-step explanation:

Answer: 36in

Step-by-step explanation: Its 36in because if you add them all up then you get 36. (hope it helps +)

1. The graph below shows the height of an object that has been launched off a 50-foot-high wall. After approximately how many seconds does the object reach its maximum height?

1.8 seconds
4.4 seconds
3.7 seconds
2 seconds​

Answers

Answer: Its 2 seconds

Step-by-step explanation:

I took the quiz

The object reach its maximum height at 2 seconds.

WE are the given curve shows the height of an object which has been launched from 50 foot high wall with respect to time.

So we can see that the curve initially starts from the height of 50 feet.

Here in the middle the height of the object is maximum and immediately after that the height decreased in the graph.

At that maximum height time from the graph we can find that the height of the object goes upto 106 feet.

We can see in the graph that it hits the ground when the height is equal to 106.

t = 2 seconds

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What is 2 1/3 divided by 8 1/2

Answers

Answer:0.27450980392

Step-by-step explanation: looked it up, trust

Simplify the expression.
4+ 5(3x - 2) – 3x
Help plsss and no links plsss
Remember no links

Answers

Step-by-step explanation:

4 + 5(3x - 2) - 3x

4 + 15x - 10 - 3x

12x - 6

therefore, option A is correct.

hope this answer helps you dear!

The required simplified solution of the given expression is 12x -6. Option A is correct.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
= 4 + 5(3x -2) - 3x
Following the distributive property,
= 4 + 15x - 10 - 3x
Following the associative property,
= 4 - 10 + 15x - 3x
= -6 + 12x
= 12x - 6

Thus, the required simplified solution of the given expression is 12x -6. Option A is correct.

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Constructed Response

Two skyscrapers are under construction in Atlanta. They will sit on opposite sides of Peachtree St. and
the architect has designed them to be similar. The architect made a sketch of two rectangles to model
the front view of the two buildings and included the following statement: ABCD ~ JKLM. It was also given
that AB = 1600 ft., BC = 200 ft., and JM = 150 ft.. Use the scenario to solve problems (a) through (d)

a.) Which rectangle is being used to model the taller building?

b.) Which line segments could be used to model the height of the smaller building?

c.) What is the height of the taller building? Explain your reasoning.

d.) What is the height of the smaller building? Explain your reasoning.

e.) Would it make sense to say that the scale factor from smaller building to taller building is 3/4?
Explain your reasoning.

Answers

A rectangle is a quadrilateral which has the length of its opposite sides to be equal. Thus, the following are the solutions to the questions:

a) The rectangle used to model the taller building is ABCD.

b) The line segment used to model the height of the smaller building is JM = KL.

c) The height of the taller building is 200 feet.

d) The height of the smaller building is 150 feet.

e) Yes, the scale factor from small to tall building is [tex]\frac{3}{4}[/tex].

Rectangles have equal length of opposite sides , and the sum of its interior angles to be [tex]360^{o}[/tex]. Since the two given skyscrapers were modeled with respect to rectangles ABCD and JKLM, then the answers to the questions are:

a) The rectangle used to model the taller building is ABCD. Since the length of a rectangle is always greater than its width. So that the height; AD = BC.

b) The line segment that can be used to model the height of the smaller building is; JM = KL. This represent the width of the rectangular model for the small building.

c) The height of the taller building is AD = BC = 200 feet. The width of a rectangle is often smaller than its length, which in this case is the height.

d) The height of the smaller building is JM = KL = 150 feet. The length of a rectangle is usually longer than its width.

e) Yes, it would make sense because:

scale factor = [tex]\frac{height of the smaller building}{height of the taller building}[/tex]

                   = [tex]\frac{150 ft}{200ft}[/tex]

                   = [tex]\frac{15}{20}[/tex]

scale factor = [tex]\frac{3}{4}[/tex]

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can someone help me plzzz!!

Answers

Answer:

x = 2 and y = -2

Step-by-step explanation:

a) 5x-4y = 18

b) x+3y = -4

b) x = -3y - 4

a) 5 (-3y - 4) - 4y = 18 (substitution)

a) - 15y - 20 - 4y = 18

a) -19y = 18 + 20

a) y = 38/-19

y = -2

b) x + 3(-2) = -4

b) x - 6 = -4

x = 6-4 = 2

what is this? 30 points!!!!

Answers

Answer: X = -351

Step-by-step explanation:

Answer:

x=117

Step-by-step explanation:

Please help shakdnjdissnbxjddbbd

Answers

Answer:

Step-by-step explanation:

# Store uploaded files on the local file system in a temporary directory.

config.active_storage.service = :test

The website

The volume of a rectangular prism is equal to
the area of the rectangular faces multiplied by
the prism's height. The volume of a
rectangular prism can be expressed as the
following quadratic x3 + 125 . Factor the
quadratic to determine the area of the
rectangular faces and the prism's height. Note:
Use ^to represent exponents, for example,
.
x^2.

Answers

Answer:

ang answer mo po ay 345prism po

The area of the rectangular is represented by quadratic function is (x²-5x+25).

What is a Cubic equation?

Cubic equations are polynomials of degree3.

That means, the maximum degree of polynomial is three.

And the standard form of cubic equation is;

f(x) = ax³ + bx² +cx +d, where a, b, c and d are constant coefficients and a ≠ 0.

Given:

The volume of a rectangular prism is equal to the area of the rectangular faces multiplied by the prism's height.

The volume = height x (the area of the rectangular)  ..... equation 1

The volume of a rectangular prism can be expressed as the following cubic function x³ + 125.

We can simplify the function,

x³ + 125,

= x³ + 5³

Here, we can use the formula,

x³+y³ = (x+y) (x²-xy+y²)

So,

x³ + 5³,

= (x+5) (x²-5x+25)

Comparing with the equation 1,

we get,

The height = (x+5) and the area of the rectangular = (x²-5x+25).

Therefore, (x²-5x+25) is the area of the rectangular.

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Answer the question

Answers

Answer:

70 °

Step-by-step explanation:

A triangle has 180 degrees. Because this triangle is isosceles, the left two angles are the equal.

180 - 40 = 140

140 / 2 = 70

n^2- n - 12 = (n + 3)(___)

Answers

Answer:

n^2 - n - 12 = (n+3)(n-4)

Step-by-step explanation:

3 times - 4 = -12 ( two numbers when multiplied = -12, when added=-1)

3 + -4 = -1

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