Mathematics High School

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

This is due today, so pls help, thank you

Answers

Answer:

1. c 31.4 r 5 d 10

3. r 1.75 c 10.99 d 3.5

4. r 4 c 25.12 d 8

5. r 100 c 628 d 200

Step-by-step explanation:

d = 2(r)

c= (2)pi *r

At a car dealership yesterday, the ratio of trucks sold to cars sold was 5.6. If the dealership sold 30 cars, how many trucks were sold?

Answers

Answer:

Step-by-step explanation:

ratio 5:6

[tex]\frac{5}{6} = \frac{x}{30}[/tex]

6x = 5(30)

6x = 150

x = 25

Type the correct answer in each box. Round your answers to the nearest dollar.

These are the cost and revenue functions for a line of 24-pound bags of dog food sold by a large distributor:

R(x) = -31.72x2 + 2,030x

C(x) = -126.96x + 26,391

The maximum profit of $ Blank

can be made when the selling price of the dog food is set to $ Blank

per bag.

there are two answers

Answers

Answer:

$10,277.32

Step-by-step explanation:

Given the revenue and cost function

R(x) = -31.72x^2 + 2,030x

C(x) = -126.96x + 26,391

The profit function is expressed as;

P(x) = R(x) - C(x)

P(x) = -31.72x^2 + 2,030x-(-126.96x + 26,391)

P(x) = -31.72x^2 + 2,030x+126.96x - 26,391

P(x) = -31.72x^2 + 2,156.96x - 26,391

To have maximum profit, d

The maximum profit dP/dx = 0

dP/dx = -63.44x+2156.96

-63.44x+2156.96=0

63.44x = 2156.96

X = 2156.96/63.44

x = 34

Get the profit

P(34) = -31.72(34)² + 2,156.96(34)- 26,391

P(34) = -36668.32+73336.64-26391

P(34) = 10,277.32

Hence the maximum profit that can be made is $10,277.32

Makayla has $8 to buy tickets at the school fair. Each ticket costs $1.50. Which inequality
best represents how many tickets she can buy?
n = number of tickets

Answers

Answer:

Third option is correct. Hence, N<5 is the best inequality that represents the number of tickets she can buy with $8

Step-by-step explanation:

−8

≥ -5 ???????????????????????????

Answers

-8>-5 ? Ok s if that’s the question. The answer it’s false

Answer:

If your asking if it’s true or false then it is false

Step-by-step explanation:

If you want to make it a true statement then it would be -8<-5

Tiffany used to live 15 kilometers away from the school, but after she moved she now lives 9.9 kilometers away. Is this an increase or decrease?

Answers

decrease i believe
hope this helps

Answer:

it is a decrease

Step-by-step explanation:

hope that this helps

also why is this question so easy for a high schooler im in middle school and was able to figure it out

Please help :( I’ve been on this fit awhile

Answers

Okay think the answer b

Hey can you help me fast!!!

Answers

Answer:

32 squared ft

Step-by-step explanation:

Choose the smallest fraction
1/13
1/11
1/12

Answers

Answer:

1/13 is the smallest fraction

Step-by-step explanation:

1/13 = 0.0769

1/11 = 0.0909

1/12 = 0.0833

1/13 is the smallest fraction

The correct answer is 1/13

Find the volume of the rectangular
prism
[?] units3
18
16
22

Answers

pppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp its 22Step-by-step explanation:

6336 is the answer for this

Use the function below to find F(1).

F(t) = 2•1/2^3t

Please Help

Answers

Answer:

C. 1/4

Step-by-step explanation:

2 * 1/2^3t

substitute 1 for t so it would be:

2 * 1/2^3 = 2 * 1/8 = 2/8 = 1/4

Don has 4 pieces of pipe. Each piece is 2 feet 3 inches long.
If Don joins the pieces end to end to make one long pipe, how long will the new pipe be?
The pipe will be
feet
inches long.

Answers

the answer is the pipe will be 9’ 0” long

Which equation could be used to solve the question below?

Scott collected p pins at the parade. He collected 16 pins at the fair and 13 pins at camp. Now, he has 62 pins. How many pins did Scott collect at the parade?
A.
p - 16 + 13 = 62
B.
p + 16 + 13 = 62
C.
p - 16 - 13 = 62
D.
p + 16 - 13 = 62

Answers

Answer:

Step-by-step explanation:

62 pins in total = 16 pins at the fair + 13 pins at camp + x pins collected in the parade

Quando Rondo is a dead man walking

Answers

Answer:

huh? really?

Step-by-step explanation:

:/ thats cool

Answer: yes?

Step-by-step explanation:

Please help me guys!!!:)

Answers

Answer:

The answer is >

second one

Step-by-step explanation:

Good luck !

Help please n thank u

Answers

Answer:

97.4

Step-by-step explanation:

Complete the point-slope equation of the line through (1, -1) and (5,2).
Use exact numbers.
y-(-1) =

I need help

Answers

Answer: Y-(-1)= 3/4(x-1)

Step-by-step explanation:

*First find the slope*

y2-y1/x2-x1 ==> 2-(-1)/5-1 ==> 3/4

Point-slope form ==> y-y1=m(x-x1)

y-(-1)=3/4(x-1)

A right triangle has an angle measure of 52.4 degrees. What is the value of 'x', the missing angle?

Answers

Answer:

The answer is 37.6 degrees

Step-by-step explanation:

Since a right angle is 90 degrees in total, to find the missing degree subtract 52.4 from 90 to find the value of x.

90-52.4= 37.6 degrees

37.6 degrees is your answer

Hope this helps

carpenter has a board that is 8 feet long. e cuts off two pieces. One piece is 32 feet ug and the other is 2 feet long. How ch of the board is left?

Answers

Answer:

2 1/6 feet

Step-by-step explanation:

A carpenter has a board that is 8 feet long. He cuts off two pieces. One piece is 3 1/2 feet long and the other is 2 1/3 feet long. How much of the board is left?

Total length of the board = 8 feet

Piece A = 3 1/2 feet

Piece B = 2 1/3 feet

Piece A + piece B

= 3 1/2 feet + 2 1/3 feet

= 7/2 + 7/3

= (21+14) / 6

= 35/6

= 5 5/6 feet

Length of the board remaining = Total length of the board - length of the two pieces

= 8 feet - 35/6 feet

= (48-35) / 6

= 13/6 feet

= 2 1/6 feet

Length of the board remaining = 2 1/6 feet

When Colton commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a standard deviation of 3.5 minutes. Using the empirical rule, determine the interval that represents the middle 95% of his commute times

Answers

Answer:

(34, 48)

Step-by-step explanation:

According to the Empirical Rule, 95% of normally distributed data lie within two standard deviations of the mean. That, in turn, means 95% of the data in this problem lie within 2(3.5 min), or 7 min, of the mean:

41 - 7 < mean < 41 + 7, or

34 < mean < 48, or simply (34, 48)

0.9x+2.3x = -6.4 Find x on both sides of the problem, a little confused... Would we combine the like terms on the left side?

Answers

Answer:

-2

Step-by-step explanation:

0.9x+2.3x = -6.4

Add the two values of the left side of the equation together

3.2x = -6.4

Divide both sides of the equation by 3.2

x = -6.4 / 3.2

x = -2

Write the mixed number as a percent.

Answers

Answer:

185%

Step-by-step explanation:

Answer: 185%

Explanation: As you can see, the number has a whole number and a fraction. The whole number represents 100%. So, 100% + 17/20 would be your answer.

You must turn 17/20 into a percent.

17/20 = 85%

Add your percentages- 100% + 85% = 185%

4
Select all the expressions that are equivalent to
-2(5x - 1) + 7(5x - 1) – 3(-5x + 1)
M. -10x – 1 + 35x - 1 + 15x + 1
P. -10x + 2 + 35x - 7 - 15x - 3
R. (5x - 1)(-2 + 7 - 3)
S. (5x - 1)(-2 + 7 + 3)
T. 40% - 8
V. 10x + 2

Answers

Answer:

The first answer is M. -10x - 1 + 35x - 1 + 15x + 1

maybe

Please, please help! Simplify the following:

Answers

Answer:

-15

Step-by-step explanation:

(5) x (-3) = -15

Ashley plans to run a total of 24 miles this week. If Ashley has already run 25% of the total distance, how many more miles does she plan to run this week?
A. 6 miles

B. 20 miles

C. 4 miles

D. 18 miles

Answers

Answer:

D.18 millas

Step-by-step explanation:

dividimos el 24 en cuatro partes que terminaria en 6 restamos 6-24 = 18 millas que seria el 75%

The price of an item has dropped to $98 today Yesterday it was $140. Find the percentage decrease

Answers

Answer:

30%

Step-by-step explanation:

30% of 140 is 98

A train arrives at the station with 150 passengers on board. 2/5 of the passengers get off the train in seattle , and then 35 passengers board the train . How many passengers are on the train when it leaves the station?

Answers

Answer:

95 passengers :) brainliest pls!

Step-by-step explanation:

2/5 = 0.4,

0.4*150 = 60,

60+35 = 95.

slope of (-3,5) (3,6)

Answers

slope formula is y2–y1/x2-x1, so the slope is 1/6

Answer:

The slope is [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

Please help! you'll get Brainliest if you do!

Answers

Answer:

Step-by-step explanation:

"Determine which three lengths cannot be the measure of the sides of a triangle. 2 m, 5 m, 6 m 8 m, 10 m, 17 m 5 m, 20 m, 22 m 4 m,15 m, 20 m"

Answers

Answer:

None.

All the four given measurements can form a triangle.

Step-by-step explanation:

Given;

first measurement, = 2m , 5m, 6m

second measurement, = 8m, 10m, 17m

third measurement, = 5m, 20m, 22m

fourth measurement, = 4m, 15m, 20m

For any of the three lengths to form a triangle, the sum of any two sides must be greater than the third side.

First measurement: 2m + 5m = 7m and 7m > 6m (can form a triangle)

Second measurement: 8m + 10m = 18m and 18m > 17m (can form a triangle)

Third measurement: 5m + 20m = 25m and 25m > 22m (can form a triangle)

Fourth measurement: 4m + 15m = 19m and 19m < 20m BUT

20 m + 15m = 35 m and 35 m > 4m (can form a triangle)

Therefore, all the four given measurements can form a triangle.

Other Questions

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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.​

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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.