Select the correct answer.
A company employs 48 people in various departments. The average annual salary of each employee is $25,000 with a maximum variance of
$3,000. What is the range of the total salary that the company pays to its employees annually
OA $1,056,000 sxs $1,344,000
OB.
$264,000 < xs $336,000
OC. $88,000 sxs $112.000
OD
$22,000 sxs $28,000

Answers

Answer 1

Answer:

$24,890.46, $25,109.59

Step-by-step explanation:

Given:

n = 48, the sample size

m = $25,000, th sample mean

σ = $3000, the maximum variance

The standard deviation is

s = √σ = √(3000) = 54.772

As a rule of thumb, the range is 4 times the standard deviation. Therefore the range is

R = 4*54.772 = 219.09

Half the range is

R/2 = 219.09/2 = 109.45

The required  range is

(25000-109.45, 25000+109.45) = (24890.46, 25109.54)

Answer: $24,890.46, $25,109.54


Related Questions



Gabriel wants to paint the model. How

much paint will he need?

The area of the square base is in.?

The area of each triangular face is

in.

Gabriel will need in.2 of paint.

Answers

Answer:

The area of the base is 144 square inches.The area of each triangular face is 66 square inches.Grabiel needs 408 square inches of paint.

Step-by-step explanation:

The complete problem is attached.

Notice that the figure is a square pyramid, where its base dimensions are 12 inches by 12 inches, which represents an area of

[tex]B=12 \times 12 = 144 \ in^{2}[/tex]

The slant height of the pyramid is 11 inches, which allow us to find the area of each triangle face

[tex]A=\frac{1}{2}bh =\frac{1}{2}(12)(11)= 66 \ in^{2}[/tex]

But there are four triangle faces, so [tex]A_{faces} =4(66)=264 \ in^{2}[/tex].

Therefore, the area of each triangular face is 66 square inches.

So, the total surface area would be the sum

[tex]S=144+264=408 \ in^{2}[/tex]

Therefore, Gabriel needs 408 square inches to paint the whole model.

Answer:

144 66 408

Step-by-step explanation:


True or false: When Solving Inequalities, IF you divide (or multiply) both
sides of the inequality symbol by a negative number, THEN you MUST FLIP
THE DIRECTION of the symbol. For example, a "<" becomes a ">" symbol. *

Answers

Answer:

True

Step-by-step explanation:

Which polygons are similar??

Answers

Answer:

1 and 4

Step-by-step explanation:

polygons 1 and 4 are similar. hope this helps!

Under which operations are polynomials closed?

Answers

Answer:

addition, subtraction, and multiplication

Step-by-step explanation:


I need help with this please

Answers

Answer:

Step-by-step explanation:

Antelope, Montana:  

    21, 30, 42, 58, 70, 79

Range- 58     79-21= 58

Quartile 1- 30

Quartile 3- 70

Interquartile Range- 40     70-30= 40

Augusta, Maine:

    28, 32, 41, 53, 66, 75

Range- 47

Quartile 1- 32

Quartile 3- 66

Interquartile Range- 34

Alain throws a stone off a bridge into a river below.
The stone's height (in meters above the water), xxx seconds after Alain threw it, is modeled by h(x)=-5x^2+10x+15
What is the height of the stone at the time it is thrown?

Answers

Answer:

3 seconds.

Step-by-step explanation:

Answer:

15 meters

Step-by-step explanation:

I think the other guy answered the question similar to this one where it shows how many second but guys its height in meters anyway bye have a great day!!! :D

What is the vertex of this quadratic equation? Y=2(x-2)^2+5

Answers

Answer:

vertex = (2, 5 )

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = 2(x - 2)² + 5 ← is in vertex form

with (h, k) = (2, 5 ) ← vertex

HELP ASAP!
A rectangular cardboard has dimensions as shown. The length of the cardboard can be found by dividing its area by its width. What is the length of the cardboard in inches?

Rectangle with width labeled on the right, width equals 4 and 1 over 4 inches. Below the rectangle, it says, length equals question mark. Inside the rectangle, it says, area equals 41 and 2 over 3 square inches.

9 and 41 over 51
10 and 1 over 4
36 and 5 over 6
174 and 29 over 48

Answers

Answer:

9 and 41 over 51

Step-by-step explanation:

divide 41 2/3 by 4 1/4

Answer:

9 and 41 over 51

Step-by-step explanation:

mark the other anser as branly not me ok

6 square root -16 + 4 square root -49

Answers

Answer:

I think it's like 20.8....but I'm not sure

please answer this(picture attached)

explain if you can but if not that is ok :)

Answers

Answer:

5 and 6 are the roots

.................

Answer:

x1=5, x2=6

Step-by-step explanation:

solve for h(2) h(t) = t2 − t + 7

Answers

if h(t) = t² - t +7

h(2) = -5

I hope it helps

Answer fast, please

The length of a rectangle is 3/2 units greater than its width. If the width is w, which expression gives the perimeter of the rectangle in terms of its width?

A. 4w + 3

B. 7/2w – 3

C. 5w

D. 6w + 4

Answers

Answer:

C

Step-by-step explanation:

L=3w/2

P=2l+2w

3w+2w=5w

Please mark as Brainliest! :)

Have a nice day.

Your Answer is  4w+3. I had this question

If you put 3 teaspoons of baking soda in for every 8.5 ounces of water, how much baking soda do you put in 8 ounces of water?

Answers

Answer:

2.66667 OR 0.375

Step-by-step explanation:

Answer:

the exact amount is 2.823529412 which is about 3 teaspoons.

Step-by-step explanation:

[tex]\frac{3}{x} =\frac{8.5}{8} \\[/tex]

You can then criss cross

and get x= [tex]\frac{24}{8.5}[/tex]

x=2.823529412

AWARDING BRAINLIEST

Answers

Answer:

A

Step-by-step explanation:

3 times 3 plus 1 is 10 which makes it greater than 7

Answer:

B

Step-by-step explanation:

[tex]3m-1>7-1\\3m>6\\3m/3>6/3\\m>2[/tex]

here is the next questions brainliest to the first who answer it

Answers

Answer:

Look at the attachment

A $5,000 principal is invested in two accounts, one earning 1% interest and another earning 6% interest. If the total interest for the year is $170, then how much is invested in each account?

Answers

Answer:

$2600 was invested on the 1% account while $2400 was invested on the 6% account.

Step-by-step explanation:

For simple interest we must apply the following formula:

M = C*r*t

Where M is the amount of interest generated, C is the invested money, r is the rate of interest and t is the elapsed time.

The sum of capital investead in each account, "x" for the 1% interest one and "y" for the 6% interest one, must be equal to the original $5000. The same way as the interest generated from these investments must be equal to the earnt $170. So we have:

x + y = 5000

For the first account:

M1 = x*0.01*1 = 0.01*x

For the second account:

M2 = y*0.06*1 = 0.06*y

The sum of interests:

0.01*x + 0.06*y = 170

We have a system of equations as shown below:

x + y = 5000

0.01*x + 0.06*y = 170

Multiplying the first equation by -0.01 and adding both equations we have:

-0.01*x - 0.01*y = -50

0.01*x + 0.06*y = 170

0.05*y = 120

y = 120 / 0.05 = $2400

x = 5000 - 2400 = $2600

$2600 was invested on the 1% account while $2400 was invested on the 6% account.

Two angles in a triangle measure 102 degrees and 67 degrees. What is the measure of the third angle?
11 degrees
78 degrees
113 degrees
169 degrees

Answers

Answer:

11 degrees

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees.

From 180 degrees we subtract the sum of 102 degrees and 67 degrees, obtaining 11 degrees (first answer choice)

Answer:

11 degrees

Step-by-step explanation:

hope this helps and sorry if im wrong

Dan has a farm. 7/12 of the farmland are devoted to corn.n What percentage of the farmland is devoted to corns? (round to the nearest tenth of a percent).

Answers

Answer:

58.3% of the farm is devoted to corn.

Explanation:

The fraction 7/12 as a percent is 58.3%.

the number
When you multiply the number twice, you._______ the number

Answers

Answer:

square

Step-by-step explanation:

when multiplied by itself the number is squared

Find the sum of the first 4 multiples of 10

Answers

Answer:

100

Step-by-step explanation:

First four multiples of 10 are :

10 , 20 , 30 , 40

So their sum is

10+20+30+40 = 100

The multiples of 10. Answer : 10,20,30,40,50,60,70,80,90,100,110,120,130,140,150,160,170,180,190,200,210,220,230,240,250,260,270,280,290,300,310,320,330,340,350,360,370,380,390,400,410,420,430,440,450,460,470,480,490,

Find the length of each object to the nearest centimeter
and millimeter.

6.Width of a book

7. Length of a pencil
PLS HELP HURRY I WILL MARK BRAINLESS IF THE ANSWER IS GOOD!​

Answers

the width of a book is about ("25 x 20cm")

the length of a pencil is about 15cm (19cm if unsharpened)

Look at the figure below.

What is the measure of Angle ACB

Answers

Hey there!

Since these angles share the same vertex (point where the lines that make the angle meet), they are congruent (they have the same value). Therefore, we can write the following equation.

4x-12=2x+48

We add 12 to both sides.

4x=2x+60

We subtract 2x from both sides.

2x=60

We divide both sides by 2.

x=30

Now, we can plug this in to find the measure of angle ACB. Whenever you see an angle that is named with three letters, the middle one is its vertex and the other two are the end points.

m∠ACB=4(30)-12

m∠ACB=120-12

m∠ACB=108

I hope that this helps! Have a wonderful day!

Can anyone create an exponential growth function from a growth rate of 35%????
Thank you

Answers

Answer:

there is this video

Step-by-step explanation:

just look up this

How do you find the growth rate of an exponential function? hope this helps you will find your answer i hope

help please ASAP
what is the simplest form for this ratio?
7 : 11

Answers

Answer:

7/11

Step-by-step explanation:

Answer:

7 : 11 = 7 /11

Solution:

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 7 and 11 is 1

Divide both terms by the GCF, 1:

7 ÷ 1 = 7

11 ÷ 1 = 11

The ratio 7 : 11 cannot be reduced further by dividing both terms by the GCF = 1 :

This ratio is already in lowest terms.

Therefore:

7 : 11 = 7 /11

Evaluate the expression of 1 + |9 + 2|

Answers

Answer: 12

Step-by-step explanation:

1 + |9 + 2|

1+ 11 = 12

Answer:

12

Step-by-step explanation:

[tex]1+|9+2|\\1+|11|\\1+11\\12[/tex]

Which is the correct verb?

The temperature outdoors is rapidly _____.

rising
raising

Which is the correct verb?

Please ________ by me in the auditorium.

sit
set

Which is the correct verb?

She ________ on the couch while reading the paper.

lay
laid

Which is the correct verb?

My dog, Penny, _______ in the corner waiting for me to whistle.

sat
set

Answers

Answer:

risingset (not sure)laysat
Rising (Rising is the present verb)
Sit (He wants you to sit beside him in the auditorium)
Laid (past tense, lays would be a present verb but it is not an option)
Sat (past tense verb)
Please mark brainliest

A rectangle and a parallelogram have the same base and the same height. How are their areas​ related? guys im just asking questions

Answers

Answer:

A rectangle and parallelogram having same base and same height are equal in area

As area = base × height

Base and heights are equal , thus areaa are equal

plz answer will get brainliest

Answers

Answer:

4

Step-by-step explanation:

1/3 of 30 is 10

2/5 of 10 is 4

If Included in the table, which ordered pair (-4,1) or (1,-4), would result in a relation that is no longer a function. Explain your answer.

Answers

Answer:

(-4,1)

Step-by-step explanation:

Ordered pair (-4,1) means that x = -4 and f(x) = 1

Ordered pair (1,-4) means that x = 1 and f(x) = -4

From the table, we can see that the function is already defined for x = -4, but it is not defined for x = 1. So, the point (1,-4) can be included into the function, but the point (-4,1) cannot.

Here is a list of numbers:
47, 22, 22, 13, 77, 8, 18 ,100 ,70 ,4
Calculate the range.

Answers

Answer:

The range is 96.

Step-by-step explanation:

The definition of range is "The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set." So subtract the highest value from the smallest value,  and you get 96. pls mark brainliest.

Hope this helps.

Hello !

first, we need to find the smallest and the biggest number on the list:

4, 8, 13, 18, 22, 22, 47, 70, 77, 100

so it's 4 and 100

we substract the smallest from the biggest number :

100 - 4 = 96

96 is the range

× × i hope i helped you ! × ×

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