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

PLEEEEEEEEEASE HEEEEEEELLLLLLPPPPP MEEEEEEEEEEE!!!!!!!!!!!!
The gray figure is the image of the black figure after a dilation. Which represents the dilation?
a ) (x, y) to (2x, 2y)
b) (x, y) to (1.5x, 2y)
c) (x, y) to (2x, 1.5y)
d) (x, y) to (1.5x, 1.5y)

PLEEEEEEEEEASE HEEEEEEELLLLLLPPPPP MEEEEEEEEEEE!!!!!!!!!!!!The gray figure is the image of the black

Answers

B. (x, y) to (1.5x, 2y) because you multiply x by 1.5 to get it to where it is and multiply y by 2

The person that is the most kind gets a brainiest award
P.S: evaluate this function: f(x) = 3x^2+5x+6

Answers

Explanation:

This is unable to be evaluated due to the function not being stated. X has to be a number for us to be able to solve the equation and for It to be evaluated. 3x to the second power is gonna stay that since there isn't another power integer on 5x and 6 is staying like that since there is nothing for it to be added or subtracted to.

So the answer is simply:

3x^2+5x+6

The answer is the same equation bc it’s unsolvable:)

Error Analysis: A store is instructed by corporate headquarters to put a markup of 67​% on all items. An item costing ​$6 is displayed by the store manager at a selling price of ​$4. As an​ employee, you notice that this selling price is incorrect. Find the correct selling price. What was the​ manager's likely​ error?

Part 1: The correct selling price is ​(Round to the nearest dollar as​ needed.)
Part 2: What was the​ manager's likely​ error?

A. The manager set the selling price at the markup.
B. The manager subtracted the markup from the cost instead of adding it.
C. The manager set the selling price at the cost.
D. The manager added the markup to the cost instead of subtracting it.

Answers

Answer:

To find the correct selling price, we need to first find the cost of the item plus the markup. We can do this by multiplying the cost of the item by the markup percentage: $6 * 67% = $4.02. However, since the question asks us to round to the nearest dollar, we can round this number down to $4.

Therefore, the correct selling price is $4.

The manager's likely error was that they set the selling price at the cost (option C).

Step-by-step explanation:

The correct selling price is $10 and the manager set the selling price at the markup so option (A) is correct.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Cost of item = $6

Markup = 67%

67% of $6 ⇒ 0.67 x 6 = $4.02

Add the markup in the cost = $6 + $4.02 = $10.02

Round to nearest dollars = $10.2 ≈ $10.

The manager put $4 which is a markup instant of the selling price of $10.

Hence "The correct selling price is $10 and the manager set the selling price at the markup".

For more about the percentage,

brainly.com/question/13450942

#SPJ2

Simplify -15- |-7.5|

Answers

Answer:

-22.5

Step-by-step explanation:

-15- |-7.5|

after taking the absolute value off, -7.5 would become positive 7.5. But then the negative outside the absolute value makes it negative again.

-15-7.5

=-22.5

The simplified expression -15 - |-7.5| is equal to -22.5.

To simplify the expression -15 - |-7.5|, we'll follow these steps:

Evaluate the absolute value: |-7.5|.

The absolute value of a number is its distance from zero on the number line. In this case, |-7.5| is equal to 7.5 because 7.5 units away from zero.

Substitute the absolute value into the expression:

-15 - 7.5.

Perform the subtraction:

-15 - 7.5 = -22.5.

Therefore, the simplified expression -15 - |-7.5| is equal to -22.5.

To know more about an expression follow;

brainly.com/question/19876186

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A company has recently been hiring new employees. Today the company has 32% more employees than it did a year ago. If there are currently 29,700 employees, how many employees did the company have a year ago?

Answers

the company a  year ago had "x" employees, which oddly enough is the 100%.

now, today they have 32% more  than that, well, 100% + 32% = 132%, and we know that's 29,700 employees

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 29700& 132 \end{array} \implies \cfrac{x}{29700}~~=~~\cfrac{100}{132} \\\\\\ \cfrac{ x }{ 29700 } ~~=~~ \cfrac{ 25 }{ 33 }\implies 33x=742500\implies x=\cfrac{742500}{33}\implies x=22500\)

PLEASE I REALLY NEED THIS RN!!! PLEASE HELP ME!!!

PLEASE I REALLY NEED THIS RN!!! PLEASE HELP ME!!!
PLEASE I REALLY NEED THIS RN!!! PLEASE HELP ME!!!

Answers

1) \(\overline{UP}\)

2) \(\overline{UP} \cong \overline{UP}\)

3) \(\overline{UR}\)

4) \(\overline{PR}\)

5) \(\triangle OUP \cong \triangle RUP\) by SSS

6) CPCTC

Answer:

Medunno got the first pic, now i help with the second pic.

Step-by-step explanation:

Draw segment PU (don't forget the line above)

PU ≅  PU  reflexive property

UO≅ UR   given

PO≅ PR  given

△OUP ≅ △RUP   by SSS  congruence postulate

∠O ≅ ∠R  corresponding parts of congruent triangles are congruent.

Pamela is 8 years older than Jiri. The sum of their ages is 62. What is Jiri's age?

Answers

Answer:

Jiri's age = 27

Step-by-step explanation:

Let's use x for Jiri's age.

Jiri's age = x

And because Pamela is 8 years older:

Pamela's age = x + 8

Since their ages added up equal 62, the equation will be:

x + x + 8 = 62

2x + 8 = 62

2x + 8 - 8 = 62 - 8

2x = 54

2x/2 = 54/2

x = 27

And because Jiri's age is x, Jiri's age will therefore be 27.

Hope this helped!

Answer:

Jiri is 27 years old.

Step-by-step explanation:

Step 1: Declare variables

Let Jiri’s age be \(\displaystyle x\) years old.

Since Pamela is 8 years older than Jiri. Then, Pamela’s age is \(\displaystyle{8+x}\) years old.

Step 2: Form an equation

The sum of their ages together equals to 62. Therefore, we can express in mathematics/equation of \(\displaystyle{x+8+x=62}\) (sum of Jiri’s age and Pamela’s).

Step 3: Solve for x-term - add like terms (x-term)

\(\displaystyle{2x+8=62}\)

Step 4: Subtract both sides by 8

\(\displaystyle{2x+8-8=62-8}\\\\\displaystyle{2x=54}\)

Step 5: Divide both sides by 2

\(\displaystyle{\dfrac{2x}{2}=\dfrac{54}{2}}\\\\\displaystyle{x=27}\)

Since Jiri’s age is defined as \(x\) years old. Therefore, Jiri’s age is 27 years old.

Please let me know if you have any questions!

The parked values _____ in a proportional relationship. ( fill in the blank with are or are not) X 0 1 2 3 4 Y 1 4 7 10 13
Please hurry

Answers

Answer:

are ig

Step-by-step explanation:

Part A
The table shows the cost of 4 tickets at two different laser tag facilities.


Laser Tag Facility Cost ($)
LaserFun 25
Laser Tag & More 27

What equation can be used to model the total cost, y, for x tickets at Laser Tag & More? Write the equation in the form y=kx .

Part B
Fill in the blank question.
The total cost of 7 tickets at Laser Tag & More is $
.

Answers

Answer:

¯\_(ツ)_/¯

Step-by-step explanation:

¯\_(ツ)_/¯

Part A:
27/4= $6.75 per ticket
y=6.75x

Part B:
Take the equation from part A and replace x with 7.
y=6.75(7)
y=47.25
The total cost is $47.25

can someone answer number 36

can someone answer number 36

Answers

Answer:negatives are lower

Step-by-step explanation:

Negatives are lower

40 POINTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS which measurements could create more than one triangle? A. a triangle with angle measuring 47 and 45 and an included side measuring 7 cm. B. a triangle with angles measuring 25 75, and 80. C. a triangle with sides measuring 5cm and 10cm and an included angle measuring 40 D. a triangle with sides measuring 10 inches, 24 inches, and 26 inches

Answers

The answer is C. There is a side that is off which leads to a additional shape

A rental hall has 60 tables.
55% of the tables have 10 chairs at each table.
The remaining 45% of the tables have 8 chairs at each table.

Complete the model.
Then complete the statements to find the total number of chairs in the rental hall.

Answers

Answer:

Plz name me brainlieset thank you

Step-by-step explanation:

55% of the tables would be 33 tables times 10 chairs equals 330 Chairs That mean 60 Tables -33 tables Leaves you with 27 tables Times 8 Chairs Equals 216 Chairs So 330 and 216Equals 546 chairs

Answer:

55% 10 chairs:33

45% 8 chairs:27

330

216

546

Step-by-step explanation:

i just got it right

There are twelve inches in one foot, creating the equation y = 12x. If a door
frame is 6.5 feet tall, how many inches tall is it?

There are twelve inches in one foot, creating the equation y = 12x. If a doorframe is 6.5 feet tall,

Answers

Answer:

78 inches.

Step-by-step explanation:

By definition, a foot is equal to 12 inches. That is modeled by the equation you wrote, y = 12x, where x is the amount of feet.

Substitute 6.5 for x. y = 12*6.5 = 78 inches.

I hope this helps!

answer these 2 questions plz

answer these 2 questions plz
answer these 2 questions plz

Answers

Answer:

Groups

A rusting bicycle

First is rusting bicycle
The second is grou

PLEASE CAN SOMEONE HELP!!!

PLEASE CAN SOMEONE HELP!!!

Answers

The second one because it is correct i just need to use up space her so ya bye

the answer is b :) downwards from a

pls help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

pls help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The answer is 14 because -2 x -7 = 14. If you didn’t already know a sum is the value given when two or more numbers are multiplied together and the reason -2 and -7 multiply to get 14 is because the negatives cancel each other out to create a positive.
it’s just -9 since 2 + 7 is 9, but they’re opposite signs so it’ll be (-2) + (-7) = -9. The signs don’t change since both numbers are negative

Please help

Which of the options show a solution set that is true for the inequality below? Select all that apply.

Please helpWhich of the options show a solution set that is true for the inequality below? Select all

Answers

Answer: The answer is choice B, C, and D

Step-by-step explanation:

Substitute the largest number in every set to see if it is a solution to the inequality.

I need help on these 5 questions:

I need help on these 5 questions:
I need help on these 5 questions:
I need help on these 5 questions:
I need help on these 5 questions:
I need help on these 5 questions:

Answers

Step-by-step explanation:

(2x-3)² - (4x+1)(x − 4)

4x² - 12x + 9 - 4x² - 16x + x - 4

group like terms

4x² - 4x² - 12x+x+9-4

-11x + 5

-11 add five is the answer

Ordered pairs in which of these formats would always represent a function, assuming that the cost of fruit stays the same?

(number of oranges bought, total cost of groceries)
(number of apples bought, total cost of apples)
(number of apples bought, number of oranges bought)
(total cost of apples, total cost of groceries)

Answers

Answer:

Number of apples bought, number of oranges bought.

Step-by-step explanation:

I would like some help pls

I would like some help pls

Answers

Answer:

120 inches

Step-by-step explanation:

Set up a ratio.

1.5 inches = 30 inches

6 inches = x

Cross multiply.

30(6) = 1.5(x)

180 = 1.5x

Divide.

180 ÷ 1.5 = 120 inches

or

6 ÷ 1.5 = 4

4 × 30 = 120 inches

Hope that helps.

120 inches hope this helps

can you help me plssssss

can you help me plssssss

Answers

i’m pretty sure that x=9

Answer:

x= 9

Step-by-step explanation:

90 = 33+ (6x+3)

-33    -33

57 = 6x+3

-3          -3

54 = 6x

/6      /6

9=x

x = 9 is the answer

plug it back in to check.

Need help on this please

Need help on this please

Answers

Answer:

ordered pairs or words 50/50 split

Step-by-step explanation:

Ordered pairs or words

Which statement is a counterexample to the following conjecture? All mammals are dogs.

Answers

A cat is a mammal.
- Brainly needs more characters

Answer:

humans are mammals

Step-by-step explanation:

The composite figure is made up of three simpler shapes. What is the area of the figure?


A. 80
B. 49
C. 68
D. 74

The composite figure is made up of three simpler shapes. What is the area of the figure?A. 80B. 49C.

Answers

Answer: I’m pretty sure it’s 80

Step-by-step explanation:

Because the very top triangle is 4x3 which is 12 then the rectangle under it is 6x3 which is 18 then the triangle under that is 5x3 which is 15 and the triangle on the left is also 15 and the square in the middle is 4x5 which is 20 and add it all up 12+18+15+15+20=80 sry if that’s confusing.

Answer:

74 is the answer

Step-by-step explanation: You should find the area of each shape and add all the areas together to get the full area of the shape.

(base x height)+(length x breath)+(1/2 x base x height)
(10x5)+(6x3)+(
1/2x3x4)

50+18+6

74 ← this is the full area of the shape

and, remember when finding the area of a triangle you should always multiply 1/2 too for example- ( 1/2 x base x height )

Alcatraz is 2.1 miles from the palace of fine arts. you are 1.3 miles east of the palace of fine arts. how far away are you from Alcatraz if Alcatraz is directly north of you​

Answers

Answer:

sorry

Step-by-step explanation:

3.4 miles I think, I’m not really sure how to explain, lol I just added

Create a scatterplot displaying the data in the table. Be sure to include a linear trend line. (2 points)

Answers

Can you show more information please?

Answer:

Using technology, the linear regression equation which models the data of the relationship between the number of customers served and tips received is :

y = 1.87x + 3.66

predicted amount of tip for 100 customers = $191

The predicted amount of tips received of 100 customers are served :

y = 1.87x + 3.66

x = 100 ; substitute x = 100 into the equation

y = 1.87(100) + 3.66

y = 187 + 3.66

y = 190.66

Hence, about $191 would be received on tips if 100 customers are recorded.

Using a regression calculator to make prediction from a data table :

Enter the x and y axis data into the appropriate column so that the calculator can display the actual data model. Hence, given a certain value of either variable, the predicted value of the required variable can be calculated from the model.

Step-by-step explanation:  I'm not sure since you didn't add a picture

Prove that the median to the hypotenuse of a right triangle is half the hypotenuse. Proof: By the Distance Formula , MN=___ Therefore OP = 1/2MN

Answers

Answer:

MN

\(= \sqrt{4a^2+4b^2}= 2\sqrt{a^2+b^2}\)

Step-by-step explanation:

From the figure attached,

ΔMON is a right triangle and coordinates of the points M and N are M(0, 2b) and N(2a, 0).

Coordinates of midpoint P → \((\frac{2a+0}{2}, \frac{0+2b}{2})\)

From the formula of the distance between two points,

\(d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}\)

\(\texttt {MN} = \sqrt{(2a-0)^2+(0-2b)^2}\\\\ = \sqrt{4a^2+4b^2}\\\\ = 2\sqrt{a^2+b^2}\)

Similarly, OP

\(= \sqrt{(0-a)^2+(0-b)^2}\\\\ = \sqrt{a^2+b^2}\)

Therefore, OP

\(= \frac{1}{2}(MN)\)

and MN

\(= \sqrt{4a^2+4b^2}= 2\sqrt{a^2+b^2}\)

92 is greater than or equal to negative 4p
What is the answer ???

Answers

Answer:

92 is greater than negative 4

Answer: scroll down

Step-by-step explanation:

Solve for 'p' by dividing both sides by 4:

(92)÷4 ≥ (4p)÷4

23 ≥ p

Isaac is saving for a game system that costs $299. He currently has $75 in his savings account. He gets $40 a week doing yard work for his neighbors.

Which inequality represents the minimum number of weeks he must work to earn enough money to purchase the game system?

5.6 is definitely wrong just a heads up

Answers

Answer:

6 weeks

Step-by-step explanation:

75 + 40x ≥ 299

40x ≥ 299 - 75

40x ≥ 224

x ≥ 224/40

x ≥ 5.6

Round up to nearest whole week, 6.  He won't get paid for a partial week.

He has to work at least 6 weeks to earn enough money to buy the $299 game system

!! IMAGE ATTACHED !!

In the diagram, line GH is perpendicular to line IJ. What is the measure of angle 1?


A. 37°
B. 53°
C. 63°
D. 74°

!! IMAGE ATTACHED !! In the diagram, line GH is perpendicular to line IJ. What is the measure of angle

Answers

Answer: B

Explanation: 37+53= 90 and it being perpendicular creates a right angle of 90 degrees
Answer is 53 because these are supplementary angles and they adapt to 180 degrees. You add 37 and 90= 127, and then you subtract 127 from 180.
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