Suppose the commute times for employees of a large company follow a
normal distribution. If the mean time is 22 minutes and the standard
deviation is 5 minutes, 95% of the employees will have a travel time within
which range?
A. 17.25 minutes to 26.75 minutes
B. 12 minutes to 32 minutes
C. 7 minutes to 37 minutes
D. 17 minutes to 27 minutes

Answers

Answer 1

Answer:

12 minutes to 32 minutes

Step-by-step explanation:

just took exam

Answer 2

If the mean time is 22 minutes and the standard deviation is 5 minutes, 95% of the employees will have a travel time within 12 minutes and 32 minutes.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

We know that the mean travel time is 22 minutes (µ = 22) and the standard deviation is 5 minutes (σ = 5).

Using the empirical rule, we know that  95% of the data will fall within 2 standard deviations of the mean.

Therefore, we need to find the interval that is 2 standard deviations away from the mean in both directions.

The lower end of the range would be:

µ - 2σ = 22 - 2(5) = 12 minutes

The upper end of the range would be:

µ + 2σ = 22 + 2(5) = 32 minutes

Therefore,  95% of the employees will have a travel time between 12 minutes and 32 minutes.

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Related Questions

Hello could someone please help me with this and explain how to do it thank you:) 7n= 301

Answers

answer:

n=43

Step-by-step explanation:

Divide both sides by 7:

[tex]\frac{7n}{7}=\frac{301}{7}[/tex]    

simplify: n=43

Find the measure of the indicated angle to the nearest degree.

A) 16°
C) 65°
B) 23°
D) 18°

Answers

9514 1404 393

Answer:

  C)  65°

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(?) = 25/59

  ? = arccos(25/59) ≈ 64.93°

The indicated angle is about 65°.

_____

You can see that the figure is drawn approximately to scale and that the angle is more than 45°. (The unmarked leg is longer than the given leg.) The only answer choice that is more than 45° is the one shown above.

Solve 5(5x - 3) = 10​

Answers

Answer:

x=1

Step-by-step explanation:

hope this helps :)

Answer for :  5 (5x - 3) = 10

1. Opening the brackets:

       25x - 15 = 10

2. Taking all known numbers to the other side:

        25x = 10 + 15 (taking a number over means you have to change the sign)

3. Solving the known side:

        25x = 25

4. Isolating the Variable:

       x = 25/25

5. Solving the equation:

       x = 1

( I hope this helps, Pls think of giving me Brainliest :) Thank you!

5/8 + 3/4
—————
-2/3 - 5/6

Help please

Answers

Answer:

-11/12

Step-by-step explanation:

For which function is it true that y →- ∞ as x →∞

Answers

Answer:

y = -√(x - 6)

Step-by-step explanation:

The first choice on the left

y = -√(x - 6)

The larger x gets

the more negative y becomes

Rational functions are functions written as fractions. The correct function is [tex]y=-\sqrt{x-6}[/tex]

Rational functions

Rational functions are functions written as fractions.

According to the question, we are to select the function for which as y tends to minus infinity, x will tend to positive infinity.

For the function [tex]y=-\sqrt{x-6}[/tex]

Substitute y = -∞ into the equation

[tex]-\infty=-\sqrt{x-6}\\\sqrt{x-6} = \infty\\x-6=\infty\\x=\infty+6\\x=\infty[/tex]

Hence the correct function is [tex]y=-\sqrt{x-6}[/tex]

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A bag contains 6 marbles, chosen randomly from a bin of red and green marbles. What is the probability that the bag contains at most 1 red marbles?​

Answers

Answer:

1/6

Step-by-step explanation:

Since There are 6 marbles in total and possibly one red marble than its 1/6.

Im not sure if that makes sense but i hope it does :)

Which one is an example of an answer that has no-solutions? *

Answers

Answer:

3 = 6

Step-by-step explanation:

Please answer this math question for me

Answers

Answer:

Hello! answer: e = 103 f = 77

and I don't really know what d is sorry! but If I had to guess id say 90

Select the letter of the correct answer. A museum in South Africa uses paintings of right-angled triangles to teach children about the Pythagorean Theorem: A squared + B squared = C squared Let's say that A = 4 and B = 3. Based on the theorem, what is the value of C squared? Choose the correct expression. A 42+
32 B (4 x 3)2 C (4 + 3)2 D 4 + 3 ​

Answers

The answer is C I think

Need help with work

Answers

Answer:

No

Step-by-step explanation:

I don’t want to help you :)

We can use the Pythagorean Theorem to solve the triangle for x.

[tex]25^2=14^2+x^2[/tex]

[tex]625=196+x^2[/tex]

[tex]x^2=429[/tex]

[tex]x=\sqrt{429}[/tex]

x≈20.7

Eighteen students passed the Science Test. If 18 students is 72% of the total number of students in the class, how many students are in the class?

Answers

Answer:

There are 25 students in the class.

Step-by-step explanation:

Let the total number of students in the class= x

No. of students who passed the test = 18 = 72% of x = 72x/100

Therefore, 72x/100=18

=72x=18*100=1800

=x=1800/72= 25 students.

Hence, total number of students in the class= 25 students

   

There are 25 students in the class

What is the value of the expression -9 x 2.2?

Answers

The answer is -19.8 because a negative times a positive is negative

According to the histogram, how often has Illinois had between 19 and 36 tornadoes in the same year?

Answers

Answer:

9 times

Step-by-step explanation:

Answer:

9 times

Step-by-step explanation:

i got 100%

h + 9.2 = -9.2 what is h =

Answers

Answer:

h = - 18.4

Step-by-step explanation:

h + 9.2 = - 9.2

h + 9.2 - 9.2 = - 9.2 - 9.2

h = - 18.4

Answer:

-18.4

Step-by-step explanation:

Fixed it : )

Martika surfs with her friends at Virginia Beach. Her friend, Mark caught 8 waves out of 20 possible waves to ride in the shore. They plan to stay out in the water for 50 more waves. How many of the 50 waves do you predict Mark will catch?

Answers

Answer:

40 waves

Step-by-step explanation:

Prob (Mark catches waves) = Times waves caught / Total waves =  8 / 20 =  4 / 5 = 20%

Predicted waves out of 50 , caught = 4 / 5 or 20% of 50  = (4 / 5) x 50 = 40

Alternatively, multiplying numerator & denominator of wave catch probability ie 4 / 5 with 10 each , we get (4 x 10) / (5 x 10) = 40 / 50 . This also signifies 40 out of 50 waves are predicted to be caught.

you ordered a laptop from a company in alaska. The laptop costs $150. they charge you 15% off the cost of the laptop to ship it. how much will you pay for shipping​

Answers

Answer:

$127.5

Step-by-step explanation:

150*15%=22.5.

150-22.5=127.5

Don't buy this, totally not worth it.

Answer:

$22.5

Step-by-step explanation:

We will pay 15% of 150 for shipping: 150 * 0.15 = 22.5

PLEASE GIVE BRAINLIEST MEANS ALOT

Given f(x) = 2x + 1 and g(x) = 2 ^ (x - 2) What is f(4) - g(5)

Answers

Answer:

the answer is on picture

Step-by-step explanation:

i hope u understand lol

Work out the size of an exterior and an interior angle of a regular 18-sided polygon.

Answers

Answer:

160 and 20 degrees

Step-by-step explanation:

What type of triangle is this triangle?
acute isosceles
obtuse isosceles
Right isosceles
acute scalene

Answers

Obtuse isosceles
it has 2 congruent sizes, no right angles and seems two big to be acute

Answer:

obtuse isosceles

Step-by-step explanation:

An obtuse triangle has one angle measuring more than 90º but less than 180º (an obtuse angle). It is not possible to draw a triangle with more than one obtuse angle. Note: It is possible for an obtuse triangle to also be scalene or isosceles. An equiangular triangle has three congruent angles.

20 points
3. The half-life of Co-60 is 5.3 years. If the initial mass of the sample is 1
kg, how much will remain after 15.9 years.

Answers

Answer:

0.125kg

Step-by-step explanation:

an equation can be made from teh problem

f(x)=1(0.5)^(x/5.3)

x is the amount of years

plug in 15.9 for x

f(15.9)=0.125

Question #5: You decided to paint one of the walls in the dining room the color blue. The shape of the wall is shown below. One gallon of paint covers 50 square feet. The wall will need two coats of paint. How many gallons of paint will you need to buy?



Total area of the wall:

Gallons of paint needed:

Answers

Answer:

Step-by-step explanation:

Draw a horizontal line from the top corner of the left wall to the right wall. Now you have a rectangle on the bottom 8’x10’ (80 square feet) and a triangle on the top with a height of 5’ and a base of 8’. 1/2 base times height =20. You need to paint 100 sq feet so you need 2 gallons.

I need help with this question please help me

Answers

Hi, so in order to graph you need to know what all those numbers mean.

The -1/2x is the slope or the rise/rub
The -3 is the y-intercept

So start by placing the y-intercept (0,-3), then from there place the slope (-1/2), since the slope is negative instead of going up one and two to the left you are going to go down one and two to the right, then place a point and repeat. After repeating 2-3 times you should be able to connect the points in order to make a line. If you have any questions let me know!

Guys if there are 5 cookies and my friend named Jake ate 5 cookies how much would I have left??

Answers

Answer:

0 none jake ate them all

Step-by-step explanation:

Answer:

Step by step explanation

none

8.
Which of the quadratic functions has the narrowest graph?


A. y = 1/9x2

B. y = –x2

C. y = 1/4x2

D. y = 4x2

Answers

Answer:

D:  y = 4x^2

Step-by-step explanation:

The graph for which the absolute value of the coefficient of x is largest has the narrowest graph.  That takes us immediately to D:  y = 4x^2.

Which system of equations has infinitely many solutions?
A
4x+2y=8

4x−2y=8

B
4x−2y=8

−4x+2y=−8
C
4x+2y=8

4x+2y=10

D
4x+2y=8

−4x−2y=−10

Answers

Answer: B.

[tex]4x - 2y = 8\\-4x + 2y = -8[/tex]

Step-by-step explanation:

Let's solve your system by elimination.

4x−2y=8;−2x+2y=6

Add these equations to eliminate y:

   4x-2y=8  

 -2x+2y=6    

  2x=14

Substitute 7 for x in 4x−2y=8:  

(4)(7)−2y=8

−2y+28=8  (Simplify both sides of the equation)  

−2y+28+−28=8+−28  (Add -28 to both sides)

−2y=−20  

−2y/−2=−20/−2  (Divide both sides by -2)  

y=10

2x + 4y = 16
3x - 2y = 8
solve using SUBSTITUTION METHOD ONLY!

PLS ANSWER QUICK !!!

Answers

Answer:

x = 4, y = 2

Step-by-step explanation:

3x - 2y = 8

-2y = -3x + 8

y = 3/2x - 4

2x + 4(3/2x - 4) = 16

2x + 6x - 16 = 16

8x = 32

x = 4  

3(4) - 2y = 8

12 - 2y = 8

-2y = -4

y = 2


PLEASE HELP, MARKING BRAINLIEST !!!

What is the surface area of the prism ?

Answers

Answer: 1726

Step-by-step explanation:

A=2(wl+hl+hw)

A=

2

w

l

h

l

h

w

=

2

6.5

29

19

29

19

6.5

=

1726

1726.2
hope this helps!

The probability of the number of defective circuit boards in a shipment is given in the tables for two different companies. Company A A 5-column table has 2 labeled rows. The first row is labeled Number defective (x) with entries 0, 1, 2, 3. The second row is labeled P (x i) with entries 0.21, 0.30, 0.41, 0.08. Company B A 5-column table has 2 labeled rows. The first row is labeled Number defective (x) with entries 0, 1, 2, 3. The second row is labeled P (x i) with entries 0.18, 0.32, 0.28, 0.22. What is the expected number of defective circuit boards for company A? What is the expected number of defective circuit boards for company B? Which company should be chosen for purchasing circuit boards? Explain.

Answers

Answer: company A: 1.36

company B: 1.54 A; lowest expected number of defective boards

Step-by-step explanation:

i got it right on edge

The weighted average is a generalization of the expected value. The company that should be chosen for purchasing circuit boards is Company A.

What is the expected value?

The weighted average is a generalization of the expected value. The expected value is the arithmetic mean of a large number of independently chosen random variable outcomes.

A.) The expected number of defective circuit boards for company A is,

Expected number = (0.21×0) + (0.30×1) + (0.41×2) + (0.08×3) = 1.36

B.) The expected number of defective circuit boards for company B is,

Expected number = (0.18×0) + (0.32×1) + (0.28×2) + (0.22×3) = 1.54

C.) Since the expected number of defective circuit boards for Company A is less, therefore, the company that should be chosen for purchasing circuit boards is Company A.

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What is the value of 2x + 3y when x = 5 and y = 2?
A. 6
B. 7
C. 12
D. 16
E. 19

Answers

The answer is going to be 16. So D

Answer:

16

Step-by-step explanation:

plzzz help mee! asap​

Answers

Answer:

22

Step-by-step explanation:

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