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

Which expression is equivalent to 173-10+3(25+1)?
238-9
238-7
118-7
118-9

Answers

Answer:

Step-by-step explanation:

173-10+3(25+1)=241

238-9=229

238-7=231

118-7=111

118-9=109

PLEAS HELP (no links or reported) I will give brainleast!

Answers

Answer:

84 ft^2

Step-by-step explanation:

Rectangle 1: Area = l x w = 3x6=16

Rectangle 2: 4x6= 24

Rectangle 3: 5x6=30

Triangle 1: A = 1/2 b x h = 1/2 x 4 x 3 = 6

Triangle 2: 1/2 x 4 x 3 = 6

Total = 16+24+30+6+6 = 84

Hey can you help me fast!!

Answers

The answer is12

(PS. I used to HATE i-ready)

should i buy airpods pro or apple watch series 3 give three pros and cons each PLEASE I NEED HELP

Answers

Answer: JUST DO IT!

Step-by-step explanation:

can anyone help me with this question? please

Answers

9514 1404 393

Answer:

  a = 108°

  b = 24°

Step-by-step explanation:

a) The pentagon will have interior angles of 540°/5 = 108°.

 Angle a = 108°

__

b) The reflex angle at a vertex of the pentagon is 360° -108° = 252°. At the obtuse angle of the unshaded triangle, 120° of that amount is take up by two internal angles of the equilateral triangles. Those are 60° each. So, the obtuse angle in the unshaded triangle is ...

  252° -120° = 132°

That triangle is isosceles, so the angle at b is ...

  2b° +132° = 180°

  b = (180 -132)/2 = 48/2 = 24

  Angle b = 24°

Answer:

a = 108 °

b = 24°

Step-by-step explanation:

#CarryOnLearning

i hate doing my brothers work what is it?

Answers

Answer:

The answer is -0.7

Step-by-step explanation:

is the right answer

Answer:

-0.7

Step-by-step explanation:

Multiply-

Or use a calculator-

Find the minimum value of the function f(x) = 0.8x2 + 11.2x + 42 to the
nearest hundredth.

Answers

Answer:

The minimum value is 2.8.  The vertex is (-7, 2.8).

Step-by-step explanation:

Through the x^2 term we identify this as a quadratic function whose graph opens up.  The minimum value of this function occurs at the vertex (h, k).  The x-coordinate of the vertex is

        -b                                                    11.2

x = ---------             which here is x = - ------------ = -7

         2a                                                 2(0.8)

We need to calculate the y value of this function at x = -7.  This y-value will be the desired minimum value of the function.

Substituting -7 for x in the function f(x) = 0.8x^2 + 11.2x + 42 yields

f(-7) = 0.8(-7)^2 + 11.2(-7) + 42 = 2.8

The minimum value is 2.8.  The vertex is (-7, 2.8).

Rhondas test score was 75%. if there were 48 items on the test ,how many did she awnser correctly

Answers

Answer:

36 problems correctly

Step-by-step explanation:

48*.75

Answer:

36

Step-by-step explanation:

Find the value of x.

Answers

Answer:

x = 11

Step-by-step explanation:

Jane used a Venn diagram to sort shapes. Select a plane shape that belongs inside the overlap region of the diagram.

Answers

Answer:

c

Step-by-step explanation:

The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet. Which
measurement is dosest to the length of this rectangle in feet?


A. 9ft
B. 17ft
C. 12.4ft
D. 13.6ft

Answers

Answer:

C) 12.4 ft

Step-by-step explanation:

using the Pythagorean theorem:

Length² = 13² - 4² = 156 - 16 = 143

length = √143 = 12.36 ft

Examine the balanced equation for the reaction between lead(I) nitrate and sodium chloride.
Pb(NO3)2 + 2NaCl → 2NaNO3 + PbCl2
If 10.0 g of sodium chloride react with excess lead(II) nitrate, what mass of lead(II) chloride will be produced?
0 20.8 g
O 23.8 g
O 47.68
O 95.28

Answers

I think the answer is B

Can someone help me out real quick?

Answers

Answer:

It would be:

[tex]2.11 \times {10}^{8} [/tex]

Step-by-step explanation:

You just subtract the regular numbers so 4.31-2.2 and keep the same scientific notation.

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

10.19 cubic yards

Step-by-step explanation:

8*4=32

32 divided by 3.14= 10.19

Question 4 of 10
Which choices are equivalent to the expression below? Check all that apply.
416
O A. 74.36
OB. 16.6
O C. 196
D. 724
O E. 96
IF. 132. 13

Answers

A or c am not completely sure I am 90% sure or is I

The area of a circle is equal to − + . What is the radius of the circle?

Answers

Answer:

B

Step-by-step explanation:

Solving with formula of area of circle,B is the correct answer of this question.

What is the equation in slope-intercept form of the line that passes through the points ( -4 , 2) and (12, 66)?
A. y=0.25x+3
B. y=0.25x-4.5
C. y=4x+18
D. y=4x-42

Answers

i think maybe B, not sure

The spinner shown is divided into congruent sections that each contain a number. If the spinner is spun one time, what is the probability of NOT landing on a 1?

Answers

Answer:  2/3

==========================================================

Explanation:

There are 12 sections total. It might help to picture the circle split into quarters, and then each quarter is split into three pieces, giving 4*3 = 12 slices total. Or it might help to think of numbers on a round clock face.

Of these 12 sections, we have the value "1" show up exactly 4 times. That means the other values show up 12-4 = 8 times. The probability of not landing on "1" is therefore 8/12 = 2/3.

Side note: Divide both parts of 8/12 by the GCF 4 to reduce the fraction.

Sawyer used $10.25 to buy a new journal. He has $39.75 left in his savings account. How much money did Sawyer have before he bought the journal

Answers

He had $50 before the purchase

Answer:

Sawyer had $50 in his account before his purchase.

Step-by-step explanation:

$10.25 + $39.75 = $50

So he had $50 before he bought the journal

                   Hope this helps! good luck :)

Please help me with this. I will appreciate all the help ^^

Answers

Answer:

80 minutes (first one)

Step-by-step explanation:

1/6 of an hour=10 min

3 ppl can go on the ride at the same time

so 24/3=8

leaving 8 more turns before emma's turn

8x10=10

Can u guys pls help me if u are correct I will give brainliest i swear!

Answers

[tex]5 \times 10 + \frac{7 + 10}{2} \times 4 = 50 + 17 \times 2 = 50 + 34 = 84[/tex]

Answer:

i believe the area is 92

Step-by-step explanation:

Timed test please help
Rectangles P and Q are similar. If the area of rectangle P is 80, what is the area of
rectangle Q?

Answers

10/7 =1.428 80/1.428=56.02

15° 13 8) X 35° Find the measure of the indicated 9)
ignore the stuff above​

Answers

Answer:

The missing angle to this triangle is 55 degrees, x is 14.65, and the other missing length is 8.4.

Step-by-step explanation:

In a triangle, all of the angles sum up to 180 degrees. We are given it is a right triangle with another given angle of 35 degrees. 180 degrees - 90 degrees - 35 degress is 55 degrees. Now, we can use law of sines to find x. x / sin 90 degrees = 12 / sin 55 degrees. sin 90 degrees can be simplified to 1. x = 12 / sin 55 degrees. x = 14.65. By using the pythagorean theorem, we can find the last missing side, which is 8.4.

Solve the system with substitution
72 +10y = 36
y = 2x + 9

Answers

Answer:

x= -63 y= -117

Step-by-step explanation:

72+10(2x+9)=36

72+20x+90=36

162+20x=36

20x=-126

×= -63

y= 2(-63)+9

y=-126+9

y= -117

Figure 2 is a scale image of Figure 1, as shown below.
What is the scale factor applied to Figure 1 to produce Figure 2

Answers

Answer:

1.3

Step-by-step explanation:

when you divide figure 2 by figure 1 you get 1.3

Fern knitted 20 scarves over 5 nights. After 8 nights of knitting, how many scarves would fern have made in total.

Answers

Answer:

Fern will knit 32 scarves in 8 nights.

Step-by-step explanation:

Number of scarves knitted by Fern in 5 night = 20

Relation between number of scarves knitted and number of nights is proportional,

Therefore, Number of scarves knitted (s) ∝ Number of nights spent to knit the scarves (n)

s ∝ n

s = kn

k = [tex]\frac{s}{n}[/tex]

Here, k = proportionality constant

For s = 20 and n = 5,

k = [tex]\frac{20}{5}[/tex]

k = 4 scarves per night

For 8 nights, by using the same proportionality rule,

k = [tex]\frac{s}{8}[/tex]

4 = [tex]\frac{s}{8}[/tex]

s = 32 scarves

Therefore, Fern will knit 32 scarves in 8 nights.

Which is a graph of y= -2x + 3?

Answers

Answer:

B (or top right)

Step-by-step explanation:

The equation is written using the y = mx + b format.

m = slope

b = y-intercept

Top right because 3 is the y intercept and it goes down by 2 for every 1 x

Rectangle ABCD is translated (x + 2 y - 3) and then rotated 180° about the origin. Complete the table to show the locations of A'. B', C', and D' after both transformations.
B
0
3
2
D
A-51) A' ?
B (-5,3) B 2
C (-1.3) C" ?
D--11)
D' ?
A(-2,-3), B' (0-3), C (0.1), D'(-2.1)

Answers

Answer:

A

Step-by-step explanation:

The transformation, the value of the table is B (-5,3) B 2.

We have given that,

Rectangle ABCD is translated (x + 2 y - 3) and then rotated 180° about the origin.

We have to complete the table to show the locations of A'. B', C', and D'  after both transformations.

What are the transformations?

A transformation is a function f, usually with some geometrical that maps a set X to itself, and f: X → X.

Therefore after the transformation, the value of the table is

B (-5,3) B 2.

To learn more about the transformation visit:

https://brainly.com/question/4289712

#SPJ5

The radius of a circle is 2 miles. What is the circle's area? r=2 mi Use 3.14 for ​.

Answers

Answer: A≈12.57mi²

Step-by-step explanation:

How would you find the last remaining two angles of a right triangle? Prove your understanding by finding the measures of the acute angles of an 8-15-17 right triangle.

Answers

Answer:

The other 2 angles are 28 and 62 degrees.

Step-by-step explanation:

The sum of all the angles of a triangle is always equal to 180 degrees.

If two angles are known the third can be found out.

A right angled triangle always has an angle equal to 90 degrees.

If the base is 15 and the perpendicular is 8 and the hypotenuse is 17

then

Tan theta= Perpendicular/base

Tan theta= 8/15

theta = tan⁻¹ 8/15

theta = 28.072

The third angle is 28 degrees which is less than 90 degrees and is acute

This can also be obtained by

cos theta= base / hypotenuse

cos theta= 15/17

theta= cos⁻¹  15/17

theta= 28.072

Now summing up

90+ 28 + x= 180

x= 180-118

x= 62

The third angle is 62 degrees which is also less than 90 degrees.

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