Question 1 of 2
15 Points
A report revealed that the average no. of months that an employee stays in a factory is 36
months. Assuming that the no. of months of an employee tenure in the factory is normally
distributed with a standard deviation of 6 months, find the probability that a certain employee
will stay
a. More than 30 months
b. Less than 24 months
c. Between 24 to 48 months​

Answers

Answer 1

Answer:

Step-by-step explanation:

Given the following :

Mean(m) = 36 months

Standard deviation (s) = 6 months

A) probability of staying more than 30 months :

Zscore = ( x - m) / s

x = 30

Zscore = (30 - 36) / 6

Zscore = - 6/6

= - 1

P(Z > - 1) = 1 - p(Z < - 1) ; p(Z < - 1) = 0.1587

1 - p(Z < - 1) = 1 - 0.1587 = 0.8413

2)less than 24 months :

Zscore = ( x - m) / s

x = 24

Zscore = (24 - 36) / 6

Zscore = - 12/6

= - 2

P(Z < - 2) = 0.0228

3.) between 24 to 48 months

For 24 months : from above = 0.0228

48 months :

Zscore = ( x - m) / s

x = 48

Zscore = (48 - 36) / 6

Zscore = 12/6

= 2

P(Z < 2) = 0.9772 ( from z table)

Hence,

0.9772 - 0.0228 = 0.9544


Related Questions

If a right triangle has two legs of 7m and 24m what is the length of the longest side? *

Answers

Answer:

It would be 24m

Step-by-step explanation:

The longest side of a right triangle is the hypotenuse.

Use the Pythagorean theorem to solve for the hypotenuse:

X = sqrt(7^2 + 24^2)

X = sqrt( 49 + 576)

X = sqrt(625)

X = 25

The longest side is 25m

X+4 x+1
Write an equation to determine the value of x so that each pair of polygons has the same perimeter. Then solve

Answers

Answer:

5x i think

Step-by-step explanation:

hopenit is right

What is 5.5.5 written in exponential form?
A
25
B
53
с
15
D
55

Answers

Answer:

5^3

Step-by-step explanation:

5*5*5

5 multiplied 3 times is

5^3

Answer:

5 ^ 3

Step-by-step explanation:

B is between A and C. AB = 5 and AC = 8. What is the length of BC

Answers

Answer:

BC = 3

Step-by-step explanation:

If you picture A, B, and C on a line, the first part of the line, AB, has a length of 5 and the total line, AC, has a length of 8 . Means that the second part of the line, BC, has a length of 3 because you would add the length of both the first and second part of the line in order to get the total length of the line.

AB + BC = AC

5 + BC = 8

BC = 3

may somone give me the answers with question 3 4 and 5. one BRAINLIEST IF SOMONE CAN ANSWER AND FIVE STAR​

Answers

Answer:

Well, we need a definition or length/width of the figure of it first, let me see what I can find, I'll leave it in my replies.

Step-by-step explanation:

so basically the writing says to draw the lines indicated by arrows and include the markings on the last one because they indicate that all the sides are equal in length  

;P hope this helps!

Question Help
A local little league has a total of 70 players, of whom 80% are right-handed. How many
right-handed players are there

Answers

Answer:

The number of right-handed people = 56

Step-by-step explanation:

80% of 70 players = number of right-handed people

So, 80/100 x 70 = 56 players

Therefore, number of right-handed players = 56

7. Solve the equation using inverse operations. 3 + x = 7
a.
b. x
Il
c. x = 16
d. x = - 16

Answers

X=16...simplify both sides then isolate the variable

Reciprocal of 12 1/3

Answers

Answer:

3 1/12

Step-by-step explanation:

Twelves reciprocal is 1/12 and 1/3s reciprocal is 3.

Answer:

3/37

is your answer

please mark as the brainliest (ㆁωㆁ)

Solve the inequality.
6t+7≥25

Answers

Subtract 7 from both sides. You get 6t is greater than or equal to 25. Divide both by 6. You get t is greater than or equal to 4.166666667. Which is 4 and 2/3.
4 2/3 is the correct answer

a group of 29 friends gets together to play a sport first people must be divided into teams each has to heve exactly 4 players and no one can be on more than one team how many teams can they make (it is possible that not everyone can be on a team)​

Answers

Answer:

7 groups or teams

Step-by-step explanation:

7 x 4 is 28, as close as we can get to 29.

6.333 x 10^2 standard form

MY BAD!

Answers

Answer:

633.3

Step-by-step explanation:

A package of 5 pairs of insulated socks costs ​$37.95. What is the unit price of the pairs of socks​?

Answers

Answer:

$7.59.

Step-by-step explanation:

Divide $37.95 dollars (converting it into 37.95), by 5, and you get 7.59 ($7.59).

Answer:

$7.59

Step-by-step explanation:

you dived $37.95 by 5 and you get your answer of $7.59

Translate this sentence into an equation.
57 is the sum of 9 and Diego's height.
Use the variable d to represent Diego's height.

Answers

Answer:

d + 9 = 57

Step-by-step explanation:

A line with a slope of -10 passes through the point (1,-10) what is it equation in slope intercept form?

Answers

Answer:

y=-10x

Step-by-step explanation:

m=-10

For (1,-10) a=1  AND  b=-10

(use the formula y-b=m(x-a) to find the equation of the line)

y-b=m(x-a)

(sub the values of m (the slope) and a&b (from the point)

y - (-10) = (-10) × ( x - 1 )

(simplify)

y+10=-10(x-1)

(expand the bracket)

y+10=-10x+10

(subtract 10 for both sides)

y=-10x+10-10

(simplify)

y=-10x

Y= 4x +3, 4x + y =3 are they parallel or perpendicular

Answers

Answer: Neither

Step-by-step explanation:

When two lines are parallel, their slopes are the same.

When two lines are perpendicular, their slopes are opposite reciprocals. Opposite reciprocals equal -1 when multiplied together.

Equation #1: y = 4x + 3

The equation is in the form y = mx + b, so the slope is 4.

Equation #2: 4x + y = 3

We need to put this equation in slope-intercept form.

1) Subtract 4x from both sides

y = -4x + 3

The slope is -4.

-4 and 4 are neither equal nor opposite reciprocals, so they aren't parallel or perpendicular.

The slope of both lines is neither the same nor negative inverse of each other thus both lines will neither parallel nor perpendicular.

What is slope?

A slope is a tangent or angle at a point or a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.

As per the given lines,

y =  4x +3

The slope-intercept form is given as y = mx + c where m is the slope.

By comparing slope m = 4

4x + y =3 → y = -4x + 3

Slope m = -4

Since slopes are not the same thus they will be not parallel.

Perpendicular lines slope's multiplication gives -1.

Since, 4 x (-4) ≠ -1 thus both will be not perpendicular.

Hence "The slope of both lines is neither the same nor negative inverse of each other thus both lines will neither parallel nor perpendicular".

To learn more about slopes,

https://brainly.com/question/3605446

#SPJ2

If 120 customers have bought tickets today, how many free tickets has the manager given away

Answers

You need to include more information

List the integers from least to greatest

{-6, -13, 0, 3, 5, - 7}

Answers

-13, -7, -6, 0, 3, 5

I need help, quick....

Answers

Answer:

A & B

Step-by-step explanation:

Please answerrrrrrr.

Answers

Answer: 1. True 2. False

Step-by-step explanation: In question 1 they both equal 0.25 (5/20 and 7/28) but in question 2 they equal different values. 11/22=0.5 and 13/25 = 0.52.

PLLLLLLLLZZZZZZZ SOMEONE HELP ME
For a field trip 23 students rode in cars and the rest filled five buses. How many students were in each bus if 288 students were on the trip?

Answers

Answer: First, you start with the equation:

9

x

+

4

=

472

Since four students rode in cars, you want to eliminate this part of the problem to find how many students actually rode in the buses

So you would subtract

4

from both sides and get:

9

x

=

468

Finally, you would divide both sides by

9

and get

52

students on each bus

Step-by-step explanation: First, you start with the equation:

9

x

+

4

=

472

Since four students rode in cars, you want to eliminate this part of the problem to find how many students actually rode in the buses

So you would subtract

4

from both sides and get:

9

x

=

468

Finally, you would divide both sides by

9

and get

52

students on each bus

If one inch represents 15 feet, what dimensions would you use to make a scale drawing of a building 550 feet by 600 feet?

Answers

9514 1404 393

Answer:

  36 2/3 inches by 40 inches

Step-by-step explanation:

To find the drawing dimension, multiply the actual dimension by the scale factor:

  (550 ft)×(1 in/(15 ft)) = (550/15) in = 36 2/3 in

  (600 ft)×(1 in/(15 ft)) = (600/15) in = 40 in

The dimensions on the drawing would be 36 2/3 inches by 40 inches.

H(x)=4x+3 what is the coordinate pair for h (1) ?

Answers

Answer:

(1,7)

Step-by-step explanation:

SImply replace x by (1) in the expression to find the value of h:

h(1) = 4 (1) + 3 = 4 + 3 = 7

so for x = 1, h is 7 , which is written as: (1, 7)

Can someone please help, ty!!
(Will mark brainliest)

Answers

it should be two hours man

last week drew worked 7.9 hours. this week he worked 8.6 hours. how many more hours did he work this week than last week?​

Answers

Answer:

0.7 more hours

Step-by-step explanation:

8.6 - 7.9 = 0.7 more hours

0.7 more hours.
8.6-7.9 = 0.7

22+33 using GCF and the distributive property.​

Answers

Factors:

22 : 1 2 11 22
33 : 1 3 11 33

Both have the GCF of 11. By removing 11 from both numbers you end up with:

22 = 2 * 11
33 = 3 * 11

Now replace the values on the right of the equals sign into the original equation:

(2 * 11) + ( 3 * 11)

The distributive property allows us to remove the common values and rewrite as:

11(2 + 3)

This gives:

11(5)

55

Cheryl read for 30 minutes twice yesterday.Today she read for twice as long as she did yesterday.choose the expression that is a correct translation of the problem.

Answers

Answer:

(30x2)x2

Step-by-step explanation:

Answer:

Step-by-step explanation:

O

please help me asap​

Answers

Answer:

11. 6

12. The last option, A=1/4, B=7/16, C=5/8, D=3/4

Step-by-step explanation:

11. look at the denominators, and what do you see? I see that 11 is 88 divided by 8. So, let's divide the numerator by 8 as well! 48/8=6

12. 1/4 is half of 1/2, so it would be between 0 and 1/2, or A

     Same thing with 3/4 but this time in the middle of 1/2 and 1, or D

     5/8 is a little over 4/8, or 1/2, so C

     The last one left is 7/16, B

3(a – 7) = -9 + 3a.

Answers

Answer:

0=12

No Solution

Step-by-step explanation:

Hope this helps (:

Look at the attachment

Write an equation for the description. Ten times the sum of half a number x and 6 is 10.

Answers

Answer:

10 x ( 1/2x + 6 ) = 10

10 • (1/2x+6) = 10 would be the correct equation:)

Write a unit rate for the situations.

30 milliliters every 4 hours

milliliters per hour

Answers

Answer:

[tex]{7.5 \: mm(h)}^{ - 1}[/tex]

Step-by-step explanation:

[tex] a \: unit \: rate \: for \: the \: situations \: is \: given \: by :

\\ rate = \frac{30 milliliters }{ 4 hours} = 7.5\frac{mm}{h} = {7.5 \: mm(h)}^{ - 1} [/tex]

The unit rate for the situation is mL per hour

How do you write a unit rate?An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate. Examples of popular unit rates are the speed in miles per hour, the amount of energy used in miles per gallon, and the speed of the internet in megabits per second. Miles per hour, blinks per second, calories per serving, steps per day, and heartbeats per minute are a few instances of unit rates.

7.5 mL/ hr

The unit rate for the situation is mL per hour

Rate= 30mL/ 4Hrs

Rate= 7.5mL/ hr

To know more about unit rate, refer:

brainly.com/question/4895463

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