The ages of the employees at Solar Systems, Inc. Is normally distributed with a mean of 32.7 years and a standard deviation of 1.8 years. What percentage of employees at Solar Systems, Inc. Are younger than 30 years old? Round your answer to the nearest tenth of a percent.

Answers

Answer 1

Answer:

6.7%

Step-by-step explanation:

Mean = 32.7

Standard deviation = 1.8

Percentage of employees younger Than 30 years

Obtained the Standardized age, x < 30

Z = (x - mean) / standard deviation

Z = (30 - 32.7) / 1.8

Z = - 2.7 / 1.8

Z = - 1.5

Obtain the probability :

Using a Z probability calculator or standard normal table :

P(Z < - 1.5) = 0.066807

0.066807 * 100% = 6.7%


Related Questions

A cylinder with height of 4 meters has a volume of 2,827.43 cubic meters. Find the length of the diameter.

Answers

Answer: 30 meters

Step-by-step explanation:

Volume of a cylinder = πr^2h

2,827.43 = πr^2(4)

2,827.43 = 3.14(4)r^2

2,827.43 = 12.56*r^2

2,827.43/12.56 = (12.56*r^2)/12.56

225.11 = r^2, find square root of both sides

r = 15

diameter = 30

What is the solution to the equation 4w=2/3?

w=2/12

w=2/7

w=8/3

w=3 1/3

Answers

Answer:

2/12

Step-by-step explanation:

4w=2/3

1/4(4w)=1/4 x 2/3

w=2/12

Jon drives a total of of 44 miles each day to to take his children to and from school. The children go to school 5 days a week. Jobs vehicle gets 27 miles per gallon of gas. About how many gallons of gas does jon need to take his children to and from school each week

Answers

He needs 9 gallons of gas to complete it

how many dog toys weigh 3/8 or 1/2 of a pound

Answers

Answer: 6

Step-by-step explanation:

By tallying up the x's in total in 3/8 and 1/2, it would be 6.

6 because if you count the amount of x’s on the fractions 3/8 and 1/2 it equals 6

Which statement is true about the equation

It has no solution.
It has one solution
It has two solutions.
It has infinitely many solutions.

Answers

Answer:

it has one solution which is 4

Answer:

hope this helps you......

is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.​

Answers

Answer:

yes, this quadrilateral is a parallelogram.

Step-by-step explanation:

Above quadrilateral ,

opposite angle 70=70

and there is also 180-70=110 (linear pair)

so, others opposite angle 110=110

This quadrilateral have opposite sides equal

so, this is parallelogram.

find the solution of given expression,

[tex] \sqrt{128 \times 2} [/tex]

Answers

Answer:

solution:

[tex] \sqrt{128 \times 2} [/tex]=[tex] \sqrt{16²} [/tex]=±16 is your answer

Ja’quan was told to go inside one afternoon while he was at summer camp. He heard thunder and saw flashes of lightning. Suddenly, small balls and chunks of ice were falling on the field. Ja’quan checked the thermometer, because he never saw ice fall in South Florida, and noticed that it was 77°F (or 25°C). How was ice able to fall even though the temperature was much warmer than freezing?

a) Ja’quan read the thermometer wrong
b) He must have observed hail falling from thunder clouds
c) It was cold enough to allow solid precipitation to fall
d) Children were most likely throwing ice

Answers

Answer:  c

Step-by-step explanation:

PLZZ HELP ILL GIVE BRAINLIST

Answers

The answer is -19!!!

While on an 8.0 h trip, a car traveled for 3.5 h at an average speed of 90 km/h before stopping for 1.0 h. The car then traveled for 2.0 h at an average speed of 80.0 km/h For the last 1.5 h, the car traveled at an average speed of only 70.0 km/h. What was the average speed of the car for the entire 8.0 h trip?

Answers

Answer:

72.5 km/h

Step-by-step explanation:

Multiply the km/h by how many hours your going at that speed/total number of hours on trip.

(90x(3.5/8))+(80x(2/8))+(70x(1.5/8))

39.375+20.5+13.125

72.5km/h

What’s the maximum

Answers:
48
50
45
49
34

Answers

Answer:

It’s 50

Step-by-step explanation:

I just know

50!! There you goooo

what is the radius of the cylinder

Answers

Answer:

5.99

Step-by-step explanation:

brainliest pwease??

The volume of a cylinder can be found with the following equation

[tex]V = r^2h\pi[/tex]

After inputting the known information we get

[tex]980\pi = r^220\pi \\\\[/tex]

Which simplifies to

radius = 7 or (-7)

For proof's sake, we can try the equation again with the known radius

[tex]980\pi = r^220\pi \\980\pi = (7^2)20\pi \\980\pi = (49)20\pi \\980\pi = 980\pi \\[/tex]

And because the radius is being squared, it can either be negative or positive.

Three paintings are shaped like an 8-foot square a 7-foot by 4-foot rectangle and a triangle with 6-foot base and height of 7 feet. If those paintings are hung together on the outside of the building how much of the building s wall they cover together ?

Answers

Answer:

113 square feet

Step-by-step explanation:

the total area covered can be determined by adding the area of the rectangle, triangle and square together

Area of a square = length² = 8² = 64 ft²

Area of a rectangle = length x width = 7 x 4 = 28 ft²

Area of a triangle = 1/2 x base x height = 1/2 x 6 x 7 = 21 ft²

64 + 28 + 21 = 113 ft²

15% of the animals in a pet store are cats. If there are 40 animals in
the store, how many are cats?

Answers

Answer:

6

Step-by-step explanation:

Just doing this for points sorry

there are two holes in the roof that are leaking water. the one in the bathroom drift 120 drops in an hour. the other one in the kitchen dripped 80 drops in 30 minutes. which one is leaking more water?​

Answers

Answer:

the more leaking place is the bathroom

Explanation:

1 hour=60 minutes

   the bathroom drift 120 drops in 60 minutes

so, the bathroom drift 1 drop in 120/60 minutes

                                                    =60 minutes

    the other one in the kitchen dripped 80 drops in 30 minutes.

so, the other one in the kitchen dripped 1 drop in 80/30 minutes

                                                                                   = 8/3 minutes

                                                                                 

so the more leaking place is the bathroom because 60 > 8/3

please mark as brainliest

The angle of elevation to a building in the distance is 22°. You know that the building is approximately 450ft tall. Estimate the distance to the base of the building​

Answers

Answer:

1114 ft

Step-by-step explanation:

tan 22°=450/d

==>d=450/tan 22°=1113.7890... ≈1114 (ft)

Liam has 478 gummy sharks.He has 278 more gummies than Lee.How many gummy sharks do they have altogether​

Answers

Answer:

756

Step-by-step explanation:

478 + 278 = 756

Answer:678 Gummies

Step-by-step explanation:

You do 478-278 which equals 200 so you add 200+478 which equals 678

What are the zeros of f(x) = x^2 - x-20?

A. x=-10 and x = 2

B. x= -5 and x = 4

C. x=-4 and x = 5

D. X=-2 and x = 10

Answers

The correct answer is C

Solve for X

PLEASE HELP DUE IN 10 MINS

Answers

Answer:

x = 8

Step-by-step explanation:

The measures of the angles in a triangle add up to equal 180°

That being said we can create an equation to solve for x

( note that this is a right triangle indicated by the square. A right triangle has a right angle which has a measure of 90° )

180 = 90 + 5x + 5 + 5x + 5

now we solve for x using basic algebra

step 1 combine like terms

90 + 5 + 5 = 100

5x + 5x = 10

now we have 180 = 100 + 10x

step 2 subtract 100 from each side

180 - 100 = 80

100 - 100 cancels out

now we have 10x = 80

step 3 divide each side by 10

10x / 10 = x

80 / 10 = 8

we're left with x = 8

A dinner plate has a radius of 6 inches. What is the diameter of the plate in inches?

Answers

Answer:

the plate diameter is 12 u just times the radius by 2

Step-by-step explanation:

What is the square root of 49/900

Answers

0.00777777777 I think

The square root of 49/900 is 7/30 according to the given question, it can be done through simplification process.

To find the square root of 49/900, we can simplify the fraction first:

The square root of a number is a mathematical operation that determines a value which, when multiplied by itself, yields the original number. In simpler terms, the square root of a number "x" is the value "y" such that y multiplied by y equals x. The square root is denoted by the radical symbol (√).

49/900 = [tex](7^2)/(30^2)[/tex]

Taking the square root of the numerator and denominator separately, we get:

√ [tex](7^2) /[/tex]√([tex]30^2[/tex])

Simplifying further, we have:

7/30

Therefore, the square root of 49/900 is 7/30.

To know more about  square root here

https://brainly.com/question/428672

#SPJ2

There are five puppies in a box, two are girls and three are boys What is the ratio of girls to boys

Answers

Answer:

2:3

Step-by-step explanation:

2 would represent the Fraction of girls 3 would represent the fraction of boys.

Answer:

2:3

Step-by-step explanation:

The ratio is a relation between two amounts of something. In our case, we compare the amount of girl puppies to boy puppies, and so we get the following ratio...

2:3

4. Which cannot describe a system of linear equations?
A.) no solution
B.) exactly two solutions
C.) infinite solutions
D.) exactly one solution​

Answers

Answer:

The is asking to choose among the following choices that cannot describe a system of linear equations and base on the choices, I would say that the correct answer among them is in letter B. exactly two solution, I hope you are satisfied with my answer and feel free to ask for more.

for brainiest:):):):):):):):)

Answers

Answer:

A. No

B. No

C. Yes

Step-by-step explanation:

A and B are either below or above 180 degrees when all angles degrees are added together

C is exactly 180 degrees when all angles degrees are added together

Answer:

A. No

B. No

C. Yes

Step-by-step explanation:

A is no because the triangles do not follow the Triangle Inequality Theorem, nor do the angles add up to 180°. The Triangle Inequality Theorem states that the sum of two angles must be larger than the third side.

100 + 40 + 20 = 160° (DO NOT ADD UP TO 180°)

40 + 20 = 60 (60 IS NOT GREATER THAN THE THIRD SIDE, WHICH IS 100).

B is no because the triangle does not follow the Triangle Inequality Theorem, nor do the angles add up to  180°.

20 + 80 + 100 = 200° (DOES NOT ADD UP TO 180°)

20 + 80 = 100 (100° IS NOT GREATER THAN THE THIRD SIDE, WHICH IS 100.)

C is yes because the triangle follows the Triangle Inequality Theorem and the angles add up to 180°.

50 + 60 + 70 = 180°.

60 + 70 = 130 (130 IS GREATER THAN 50).

70 + 50 = 120 (120 IS GREATER THAN 60).

Type the correct answer in the box.

The area of the figure is ___ square units.

Answers

Answer:

26 square units

Step-by-step explanation:

We are given a diagram and are asked to find the area of the figure in square units.

To solve, take in mind that we need to multiply the sides given.

Area is L * W, therefore, we know that our length is 5 by 2 units, while our width is 3 by 2 units.

First start with the length, since it is 5 by 2 we multiply 5 and 2 :

5 * 2 = 10

Then with the width, since it is 3 by 2, we can multiply 3 and 2 :

3 * 2 = 6

Then do the length again since the bottom part of the diagram needs to be included, it is also 5 by 2 :

5 * 2 = 10

Add all these together to get your answer :

10 + 6 + 10

16 + 10

26 square units.

Store A is offering four bottles of nail polish for $15. Store B is offering six bottles of polish $21. Find the cost per bottle at each store. Show your work

Answers

Answer:

For Store A each bottle of nail polish costs 3.75

For Store B each bottle of nail polish costs 3.50

Step-by-step explanation:

For store A all you have to do is divide 4 by 15 and for store B divide 6 by 21

Find the value of x.
K (7x + 21)
J
L
147
M
X=

Answers

Answer:

x=16

Step-by-step explanation:

K + M =180. (opposite angles of a cyclic quadrilateral are supplementary )

7x+21+47=180

7x+68=180

7x=180-68

7x=112

7x/7=112/7

x=16

How old will Marisa be in 3 years.

Answers

Answer: 10

She cant be the same age as him or older because hes 3/2 older

she will be 10 in 3 years


Quadrilateral A’B’C’D’ is a dilation of ABCD about point F.

Please Help. Urgent


What is the scale factor?

A. 0.4
B. 1.5
C. 2.5
D. 5

Answers

The answer to the equation is 2.5

Work out
5
9

1
3
Give your answer in its simplest form.

Answers

4 7/13
I believe that thats the answer
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