1. When Aaron runs the 400 meter dash, his finishing times are normally distributed with a mean of 80 seconds and a standard deviation of 2.5 seconds. Using the empirical rule, determine the interval of times that represents the middle 99.7% of his finishing times in the 400 meter race.

Answers

Answer 1

Answer:

(72.5,87.5)

Step-by-step explanation:

Answer 2

The interval of times that represents the middle 99.7% of his finishing times in the 400 meter race is; (73.5, 87.5)

What is the interval from empirical rule?

We are given;

Mean; E(X) = μ = 80 seconds

Standard Deviation; σ = 2.5

From the empirical rule, the probability of obtaining values within one deviation from the mean is 0.68; within two deviations is 0.95 and within 3 deviations from the mean is 0.997.

We have 99.7 % of the values within 3 deviations from the mean in our question and so the intervals are;

μ - 3σ = 80 - 3(2.5) = 73.5

μ + 3σ = 80 + 3(2.5) = 87.5

Read more about empirical rule at; https://brainly.com/question/16029773


Related Questions

In a certain guessing game , each player begins with 40 coins. A player loses 3 coins when he or she makes an incorrect guess. When a player runs out of coins, the player is out of the game. The last player with coins remaining wins the game. If the y-value is the number of coins remaining and the x-value is the number of incorrect guesses, the 40 coins would represent what value in a graph ?

Answers

a certain guessing game, each player begins with 40 coins. A player loses 3 coins when he or she makes an incorrect guess. When a player runs out of coins, the ..

what measurement is equivalent to 3 meters

A- 9 centimeters

B- 36 centimeters

C- 100 centimeters

D- 300 centimeters

Answers

1m =100cm so 3m =300 cm

Theo rolls a dice 306 times.

Work out an estimate for the number of times Theo rolls an even number

Answers

I believe it would equal to 51!

Help fast please!!! ♥

The graphs of f(x) and g(x) are shown below:


Graph of function f of x open upward and has its vertex at negative 7, 0. Graph of function g of x opens upward and has its vertex at negative 7, negative 2.

If f(x) = (x + 7)2, which of the following is g(x), based on the translation?

g(x) = (x + 9)^2

g(x) = (x + 5)^2

g(x) = (x + 7)^2 + 2

g(x) = (x + 7)^2 − 2

Answers

Answer : x=2






Explanation: take the 1 and the other 1 and add them together to get 2

Which equation has the solution of X equals negative 11?

Answers

Answer:

D: x+31=20

Step-by-step explanation:

x+31=20

  Subtract 31 from each side

x= -11

What is the value of the fraction below?
0/25

Answers

The value is nothing because the numerator is 0.

What is 17 percent as a number

Answers

Answer:

0.17

Step-by-step explanation:

17 percent can be turned into a decimal by moving the invinsible dot 2 times to the left. therefore 17% becomes 0.17

Answer:

Well 17 percent of 100 is 17. It really depends on the number that you are finding the percentage of.


Ling and her family ordered takeout that cost $50. Ling paid 4% sales tax and left a 10% tip
on $50. What was the total cost?

Answers

Answer:

57

Step-by-step explanation:

tax

= tax percentage×amount

= 0.04×50

= 2

The tax was $2.

tip

= tip percentage×amount

= 0.10×50

= 5

Based on the information given the total cost is $57.

Using this formula

Total cost=Takeout cost+ Sales tax +Tip

Where:

Takeout cost=$50

Sales tax=(4%×$50)=$2

Tip=(10%×$50)=$5

Let plug formula

Total cost=$50+$2+$5

Total cost=$57

Inconclusion the total cost is $57.

Learn more about sales tax here:https://brainly.com/question/24314569

What is the image of the point (-6, -8) after a rotation of 90° counterclockwise
about the origin?
Submit Answer

Answers

Answer:

(-6,8)

Step-by-step explanation:

Factoring Best answer gets a brainliest
(5a²+5a)=
Explain how to solve this and other questions like it.
2 answers please

Answers

Answer: (5a+1) (a+1)

Hong drove 756 miles in 12 hours.
At the same rate, how long would it take him to drive 441 miles?

Answers

Answer:

It will take him 7 hours to drive 441 miles

Step-by-step explanation:

Answer:

I wanna say 7 hours

Divide 1 km in the ratio of 3:2. What is the
smaller distance?
Explain how to do this please

Answers

Answer:

3/1 km:2/1km

=3:2

=1,5km

I hope this helps you

Consider the inequality −11x≥22 .



Solve the inequality. Explain why or why not the direction of the inequality symbol is reversed.

Input Field 1 of 1

Answers

Answer:

x<-2

Step-by-step explanation:

I NEED HELP ON THIS GEOMETRY QUESTION!!!

Answers

Answer:

a. 4

Step-by-step explanation:

Copy and paste this:

I now that the area is: A = b×h/2, so: 16 = (x+4)(x)/2

-> x²+4x-32=0 -> x= -8 and x=4

x = -8 is impossible, so x=4

Answer: A. 4

Step-by-step explanation:

The equation for the area of a triangle is height times( base divided by 2)

4 + 4 = 8

8/2 is 4

4 times 4 is 16

Please correct me!
( click for full image)

Answers

Answer:

thy would not translate they would rotate

Aiden has 56 orange slices to share equally with 6 friends. If Aiden also gets an equal number of orange slices, how many orange slices will each person get?

Answers

Answer:

8 orange slices

Step-by-step explanation:

The total number of persons = Aiden + 6 friends = 7 persons

7 people are to share 56 orange slices equally.

Hence,

7 persons = 56 slices

1 person = x

Cross Multiply

7x = 56 × 1

x = 56/7

x = 8 slices

Therefore, each person will get 8 orange slices

Does someone understand this

Answers

Answer: 61

Step-by-step explanation:

You should break the figure into separate shapes, find the area, and add them together.

what is equivalent to 5/4?

Answers

Answer:

10/8      15/12   20/16,   25/20,   30/24,   35/28,   40/32, 45/36, 50/40, 55/44, 60/48, 65/52, 70/56, 75/60, 80/64, 85/68, 90/72, 95/76, 100/80

There are probably hundreds of fractions that are equivalent to 5/4 but i am going to list 3-

1. 10/8

2. 15/12

3. 20/16

Mía desea pintar una pared de su habitación. Ella no dispone de mucho tiempo al día, por lo que cada día pinta una parte de la pared. El lunes pintó ⅜ de la pared y el martes ⅛ de la pared. Si el miércoles pintó ¼ de la pared, ¿qué parte de la pared le falta pintar?

Answers

Well, 1/3 = 428 so that you could get the same thing as 28 75 hours for you to go to school

PLEASE HELP NOWWWWWWWWWWWW

Answers

Answer:

25?

Step-by-step explanation:

What is the first step in evaluating this expression?

15+20divided by 10 -7+12

A.
Subtract 7 from 10.

B.
Divide 20 by 10.

C.
Add 15 and 20.

D.
Add 7 and 12.

Answers

Answer:

B

Step-by-step explanation:

we divide before adding and subtracting according to Bodmas

Answer:

it would be B :)

Step-by-step explanation:

P.E.M.D.A.S.

Which box plot matches the data set?

34, 36, 41, 45, 49, 50, 51, 52, 56, 59

For the state of said the first quartile is 41, The median is 49.5 and the third quartile is 52.

Please help I will give Brainless

Answers

Answer:

Step-by-step explanation:

34, 36, 41, 45, 49,          50, 51, 52, 56, 59

Yes, the median is 49.5, Q1 is 41, Q3 is 52 (I always have to check)

So the box should start at Q1, end at Q3, and have it's middle line on the median. For this data set, box should start on 41, end on 52, and have its inner line on 49.5.

Of your choices, that's option C.

Please let me know if you have questions.

What is the surface area of the sphere in terms of pie?
(Answer only with right answers no links or you’ll be reported)

Answers

Answer:A

Step-by-step explanation:

because A= pi r2

A= pi 5 two

A=25 pi

FREE PTS! What is something that annoys you? (pet peeves)​

Answers

Answer:

people not rinsing out they dirty dishes

Step-by-step explanation:

Answer:

When people like pick me girls are like, oh my gosh im so ugly I wish I was pretty. To get everyone's validiation or to be cute its annoying.

Anyways have a great day :)

Which equation below best describes the line on the graph below?
a 2x+6y=8
b 2x-6y=8
c 2x+6y= -8
d 2x-6y= -8
please give steps :)

Answers

Hi! So by looking at your graph, you want to find the slope. First you want to find to points and find the distance between the two. I’ll use the points (-8,4) and (-2,2). Starting at (-8, 4), move down 2 and right 6. This shows that your slope will be -2/6 (further simplified to -1/3)?

Now, looking at each equation given to you in standard form, which will have a slope of -1/3? Your first answer, 2x+6y = 8, has a slope of -1/3, with a y-intercept value of 4/3 (or 1.5). If you look back at your graph again, you can see that the y-intercept is 1.5, so your answer will be A. :)

Each side of an equilateral triangle measures 30cm. Find the length of an altitude, a , of the triangle?

Answers

Answer:

[tex]X=25.98cm[/tex]

Step-by-step explanation:

From the question we are told that:  

Length of each side [tex]l=30cm[/tex]

Let the triangle be divide by two form a right angle triangle with base angles as [tex]90 \textdegree[/tex](angle of perpendicularity) and [tex]60 \textdegree[/tex] (angle on each vertices of an equilateral triangle)

Generally the equation for the Altitude X is mathematically given by

Trigonometric Rule

[tex]X=30sin60[/tex]

[tex]X=15\sqrt{3}[/tex]

[tex]X=25.98cm[/tex]

GIVING BRAINIEST!


Select the expression that represents the following statement: Divide 15 by 3, and then add 8. (4 points)

Group of answer choices

(15 + 3) ÷ 8

15 + (3 ÷ 8)

15 ÷ (3 + 8)

(15 ÷ 3) + 8

Answers

Answer:

15 / (3+8)

Step-by-step explanation:

Intro to Rotations

If P = (4,7),

Find: r190°(P)


([?], [])

Exam-please don’t answer if you don’t know thank you !

Answers

Answer:

p(9,7)⇒(-7,4)

Step-by-step explanation:

p(4,7)

(x,y) ⇒(-y,x)

p(4,7)⇒p¹(-7,4)

Answer:(-7,4)

hope it helps....

steve is rolling a six-sided number cube. what is the probability of the cube landing on a six?​

Answers

Answer:

1/6

Step-by-step explanation:

Space = {1,2,3,4,5,6}

n(S) = 6

A = Event of getting 6 = {6}

n(A) = 1

P(getting six) = n(a)/n(S) = 1/6

1) Which of the numbers is NOT rational?
A) - 5
B)
- - - 중
733
D) 6.3

Answers

Alternative D)6.3 ......
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