The required approximate sample mean salary is $17750.725.
How to find the sample mean?
To approximate the sample mean, we first need to find the midpoint of each salary range and then multiply it by the number of employees in that range to get the total salary for that range. Then we can sum the total salaries and divide by the total number of employees to get the sample mean.
The midpoint of each salary range can be found by taking the average of the lower and upper bounds of the range. For example, the midpoint of the first range (3.001-10,000) is (3.001 + 10,000) / 2 = 5001.5005.
Using this approach, we can construct the following table:
Salary (5) Employees Midpoint Total Salary
3.001-10,000 14 5001.5005 70021.007
10.001-15,000 16 12500.5000 200008.000
15.001-20,000 14 17500.5000 245007.000
20.001-25.000 17 22500.5000 382511.500
25.001-30.000 19 27500.5000 522510.500
To find the sample mean, we add up the total salaries and divide by the total number of employees:
[tex]$\bar{x} = \frac{\sum_{i=1}^n x_i}{n} = \frac{70021.007 + 200008.000 + 245007.000 + 382511.500 + 522510.500}{14 + 16 + 14 + 17 + 19} \approx 17750.725$[/tex]
Therefore, the approximate sample mean salary is $17750.725
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what is the slope that passes points (1,7) and (2,-4)
Answer:
m = -11Step-by-step explanation:
y=mx+b =D
Answer:
The slope is -11/1 which is -11.
Step-by-step explanation:
(Y2-Y1) / (X2-X1)
Colin invests £300 into his bank account.
He receives 5% per year compound interest.
How much will Colin have after 6 years?
Give your answer to the nearest penny where appropriate.
Point Q has coordinates of (x, y). Point
Q is rotated 90° clockwise to Point Q'.
What are the coordinates of Q'?
A (x,-y)
B (y, -x)
C (-x, -y)
D (-y, x)
3299 correct to 2 significant figures is:
Answer:
DEMOS
Step-by-step explanation:
While riding in the car on the highway, Jason notices a sign that says the exit is one mile away and begins counting seconds. It took 60 seconds to get to the exit from that sign. How fast is in mph, is the car going?
Free Points Say What---------------------------------------------------------
Write the equation of the line that passes through the points (-3, 3) and (1, 2).
What is an equation of the line that passes through the points (−6,−2) and (6,8)
Answer:
y=5/6x+3
Step-by-step explanation:
What is the solution to the equation - 4 = 6?
Answer:
10
Step-by-step explanation:
Because 6+4 is 10. When u do these look at the number u know and add them together to get the first number
Find the range of the function for the domain {−3, 1, 4.5}.
y = −x + 1
A. {4, 2, −3.5}
B. {−2, 0, −5.5}
C. {−2, 2, −5.5}
D. {4, 0, −3.5}
Answer:
D. {4, 0, -3.5}
Step-by-step explanation:
domain (x) = {-3, 1, 4.5}
y= -x + 1
substituting domain/x-values into y= -x + 1
x= -3
y = -(-3) + 1
= 3+1
= 4
x= 1
y = -(1) + 1
= 0
x = 4.5
y = - (4.5) + 1
= -3.5
therefore, range ={4, 0, -3.5}
What is 4x^3 multiplied by 8x^6?
Answer:
32X^9
Step-by-step explanation:
The sales tax on a $2.80 purchase is $0.14. The sales tax is what percent of the purchase price?
Which of the following correctly represent the commutative property?
A. 8 - 7 + 5 = 7 - 8 + 5
B. (2 + 3) + 8 = 2 + (3 + 8)
C. 2 ÷ 4 = 4 ÷ 2
D. 8 × 5 × 4 = 5 × 8 × 4
Answer:
you stumped me.
Step-by-step explanation:
:/
Answer:
A. is the correct answer
Step-by-step explanation:
I believe don't quote me on this one
In AABC shown below, L is the midpoint of BC, M is the midpoint of AB, and N is the midpoint of
AC. If MN = 8, ML = 5, and NL = 6, find the perimeter of trapezoid BMNC.
Need help ASAP pls
Answer:
35Step-by-step explanation:
see attached image.
perimeter of trapezoid = sides (6 + 8 + 5 + 8 + 8)
= 35
the perimeter of trapezoid BMNC is 35
Given :
In triangle ABC shown below, L is the midpoint of BC, M is the midpoint of AB, and N is the midpoint of AC. If MN = 8, ML = 5, and NL = 6
By midpoint theorem ,
[tex]BC= 2 \cdot MN\\BC=2 \cdot 8\\BC=16[/tex]
M is the midpoint of AB, AB= 2 times NL
BM=NL
BM=6
N is the midpoint of AC
AC is 2 times of ML
NC=ML
NC=5
Perimeter of trapezoid is sum of all the sides
Perimeter of BMNC = BM+MN+NC+CB
Perimeter =[tex]6+8+5+16=35[/tex]
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[11 +{-18 divided by 9}]x2
HELP! Please and thanks
Answer:
7 is the answer.
Step-by-step explanation:
In equations like this, you would solve the numbers in the parenthesis first, and then gradually do: Multiplication -> Division -> addition -> subtraction.
Therefore, -18 / 9 is -2.
-2 * 2 would be -4,
11 + (-4) would be 7.
Answer : 7.
Evaluate if x = 4 helppp
What is the factorization of the expression below?
16x2 - 25y2
A. (8x - 5y)(2x + 5y)
B. (8x - 5y)(2x - 5y)
C. (Ax-5744x + 5)
D. (4x - 5y)(4x - 5y)
SUBMIT
Answer:
Step-by-step explanation:
Dang kid
What type of triangle do the points A(1, 1), B(-2,5), C(3,-2) *
Answer:
ACUTE
Step-by-step explanation:
3 + 4 X 3-3 X 5
What is the answer
Remember the Rules of Operations (PEDMAS):
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
So with the expression 3 + 4 x 3 - 3 x 5 we know to multiply first. So let's multiply 4 x 3 and -3 x 5 first:
3 + 4 x 3 - 3 x 5
= 3 + 12 - 15
Then let's work out the rest of the expression!
3 + 12 - 15
= 15 - 15
= 0
Therefore we can determine that 3 + 4 x 3 - 3 x 5 = 0
I hope this helped! :)
what is the greatest common factor of 20,30 and 55
Answer:
5
Step-by-step explanation:
5 is the GCF, because all 3 of those numbers can be divided by 5! Hope this helped!
From all the factors, we can see that 5 is the only common factor, hence the greatest common factor of 20, 30, and 55 is 5
For us to get the greatest common factor of 20, 30, and 55, we need to get their individual factor first as shown:
20 = 5 * 4
30 = 5 * 6
55 = 5 * 11
From all the factors, we can see that 5 is the only common factor, hence the greatest common factor of 20, 30, and 55 is 5
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For each figure answer the following questions
9514 1404 393
Answer:
a) ∆ABC ~ ∆EDC by AA similarity
b) ED/AB = 3/4
c) 15 cm
Step-by-step explanation:
a) Two angles in each triangle are the same, so the AA similarity postulate can be used to declare the ∆ABC ~ ∆EDC. (Each triangle includes a right angle and angle C.)
__
b) Corresponding sides are ED/AB, DC/BC, EC/AC. The ratio of corresponding sides is ED/BC = (12 cm)/(16 cm) = 3/4.
__
c) Using the ratios identified above, we have ...
DC/BC = 3/4 = x/(20 cm)
x = 3/4(20 cm)
x = 15 cm
??????????????????????????????
Answer:
Its B
Step-by-step explanation:
What is the number of solutions to this system?
A) One solution
B) No solution
C) Infinitely many solutions
Please excuse my rudeness but, could you please help me
Answer:
sure
Step-by-step explanation:
The slope is 3 or 3/1.
The amount of money will always be counted as a y value. So, you can do 345 - 255, which is 90, over 120 - 90, which is 30. You will have 90/30, that will simplify to 3 or 3/1. Therefore, your slope is 3
2- El terreno de juego del campo del Barça tiene una superficie de 8446 m ^ 2. ¿Cuál es su anchura si sabemos que la alargada es aproximadamente de 103m?
Answer:
82m
Step-by-step explanation:
Supongamos que el campo del Barça es rectangular.
El área de un rectángulo => Largo × Anchura
Área => 8446m²
Longitud => 103 m
Anchura =>?
8446m² => 103m × Ancho
Anchura => 8446m² / 103m
Anchura => 82m
If Cade shoots 318 free throw baskets in 4 hours, about how many can he shoot in 7 hours?
Answer:
556.5 baskets
Step-by-step explanation:
We can write a proportion to solve
318 baskets x baskets
----------------- = ----------------
4 hours 7 hours
Using cross products
318* 7 = 4 *x
2226 = 4x
Divide each side by 4
2226/4 = 4x/4
556.5 baskets
Answer:
556.5 baskets
Step-by-step explanation:
Write a proportion to solve
[tex]\frac{318}{4hours}[/tex] = [tex]\frac{x}{7 hours}[/tex]
Use the cross products
318 × 7 = 4 × [tex]x[/tex]
2226 = 4x
Divide both sides by 4
[tex]\frac{2226}{4x}[/tex] = [tex]\frac{4x}{4}[/tex]
556.5 baskets is your answer!
Help now if you dare!
Answer:
saturn
Step-by-step explanation:
ur anus
i neeed help plzzzzz!!!
Answer:
28
Step-by-step explanation:
Answer:
22°
Step-by-step explanation:
180-158=22
Please help quickly!!! How do you do this?
Answer:
Just find the area of each of them
Step-by-step explanation:
FREE BRAINLIEST!
How many times will you roll a number less than 4 on a number cube if you rolled it 250 times ?
Answer:
125 times brainliest please?
Step-by-step explanation:
Name all the different types of factoring. Explain, in words, how to do each one.
And then give an example for each. (You do not have to solve your example).
