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 60% of 30? A. 24 B. 12 C. 21 D. 18
Answer:
18
Step-by-step explanation:
60% 0f 30 is 18
D. 18
What is the slope-intercept form of the equation of the line that passes through the point (-6,1), and is perpendicular to the graph of 2x + 3y = -5
Answer:
Y= -3/2x-8
Step-by-step explanation:
Help pls..............!!!!!!!!!!!
Answer:
you add it all up and lever the sides
Step-by-step explanation:
What is the correct factorization of:
x? - 11x + 18
9514 1404 393
Answer:
x² -11x +18 = (x -9)(x -2)
Step-by-step explanation:
The x-coefficient is the sum of the constants in the binomial factors; the constant term is their product. It usually works well to look for factors of the constant that have the right sum. Here, both must be negative.
18 = (-1)(-18) = (-2)(-9) = (-3)(-6)
The factors -2 and -9 have a sum of -11, so those are the binomial constants of interest. The factorization is ...
x² -11x +18 = (x -9)(x -2)
What is the area of this polygon on a coordinate plane?
20 square units
9 square units
3 square units
14 square units
Answer:
i need a picture or something to solve this so...
Step-by-step explanation:
PLEASE HELP ME ASAP THIS IS DUE IN LESS THEN A HOUR PLEASE
Figure D is in Quadrant II. It is reflected across the x-axis. Then figure D' is rotated 90° counterclockwise around the origin to form figure D". Then figure D" is translated 4 units to the left to form figure D'". Decide if each statement about the figures is true or false. Choose True or False for each statement. *
4 points
true False
Figure D'' is in Quadrant II
Figure D' is in Quadrant III
The x coordinates for vertices D''' are all negative
The y coordinates for vertices D'' are all positive
Figure D'' is in Quadrant II
Figure D' is in Quadrant III
The x coordinates for vertices D''' are all negative
The y coordinates for vertices D'' are all positive
This question requires one
Answer:
4
Step-by-step explanation:
because im smart
Which expression is equivalent to
Square root of 80 ?
Answer:
4i√5
Step-by-step explanation:
(6x - 4y = 11
6x + 14y= -12
How can you represent the system of equations with a matrix
i need help with this ^
Answer:
a=11
Step-by-step explanation:
Add all expressions to equal 180. (a+20+12a-14+a+20=180)
Combine like terms and solve
You'll get a=11
*ANSWER ASAP PLS!, WILL MARK BRAINLIEST*
Which represents y=x+3 in function notation?
a.) y= f (x) + 3
b.) y ( f ) = x+3
c.) f = x + 3
d.) f (x) = x + 3
Answer:
f(x)=x+3
i believe this is the answer
Question 6: CONSUMER MATH
Answer:
A. 18.99
Step-by-step explanation:
Times 75.95 by .25 and you get the amount taken off
HELP PLEASE :) * giving brainliest*
Solve the system of equation. Write the solution as a coordinate point
Answer:
(2,16)
Step-by-step explanation:
y=-x+18
y=8x
8x=-x+18
8x+x=9x
-x+x=0
9x=18
9x/9=x
18/9=2
x=2
y=8(2)
y=16
Answer:
(2,16)
Step-by-step explanation:
Step 1: Substitute -x+18 for y in y=8x:
-x+18=8x Add X to both sides
9x=18 Divide 9 by both sides
x=2
y=8(2)Plug in the new value for x(which is 2) into one of the equations
y=16
(2,16)
Hope this helped, good luck!
You are a landscaper, and you are designing a fence to enclose part of a yard. The section to be enclosed is rectangular and has a width of 21 feet and a length of 38 feet. What length of fence, in feet, will you need to enclose this part of the yard? 59 60 118 120 798
Answer:
If you draw this out, you can see that total fence equation will be:
2L + 4W = 1200
Simplify, divide by 2
L + 2W = 600
L = (600-2W)
:
Area;
A = L*W
Substitute (600-2W) for L:
A = (600-2W)*W
A = -2W^2 + 600W; a quadratic equation
:
The dimension that will produce the greatest area will be the "axis of symmetry
which is: x = %28-b%29%2F%282a%29
:
In this equation a=-2, b=600
W = %28-600%29%2F%282%2A-2%29
W = %28-600%29%2F%28-4%29
W = +150 ft is the width
:
Find the length
L = 600 - 2(150)
L = 300 ft is the length
:
We can say the a field 300 by 150 gives he greatest area
:
This illustrated on a graph where y axis is the area and x axis is the width:
Step-by-step explanation:
Answer:
798
Step-by-step explanation:
21x38=798
I need help solving this equation
56 = 3w + 14
56 - 14 = 42
42/3 = 14
W = 14
Answer:
w = 14
Step-by-step explanation:
56 = 3w + 14
-14 -14
----------------------
42 = 3w
÷3 ÷3
----------------
14 = w
5. What three consecutive integers have a sum of 21?
3
What are the zeros or x-intercepts of the parabola?
A) (0, -1) and (0,5)
B (2,0) and (-9,0)
C (-1,0) and (5,0)
D (0,-5) and (-5,0)
Answer:
C
Step-by-step explanation:
x-intercepts , when y=0 are
(-1,0) and (5,0)
Answer:
C
Step-by-step explanation:
The zeros are also known as x-intercepts so it is the points on the x axis.
For x-intercepts the y is 0 so it is (-1,0) and (5,0)
hope this helped :)
Samir took a total of 21 quizzes over the course of 3 weeks. After attending 6 weeks of school this quarter, how many quizzes will Samir have taken in total? Solve using unit rates.
what is the answer to this? −1.2b−5.3≥1.9
Answer:
b≤−6
here u go
Answer:
b ≤ -6 ✅Step-by-step explanation:
To solve an inequality, we will solve just like a normal equation. The goal is to isolate b, so we can determine the set of values it can take on.
Step 1: Add 5.3We need to reverse the operation - 5.3, so we add 5.3.
-1.2b - 5.3 + 5.3 ≥ 1.9 + 5.3
-1.2b ≥ 7.2
Step 2: Divide by -1.2We need to reverse the multiplication that is multiplying b by -1.2, so we will divide. However, we must remember an important rule first.
Important: When we divide by a negative number in an inequality, we must reverse the inequality sign, so ≥ becomes ≤.
-1.2b / -1.2 ≥ 7.2 / -1.2
b ≤ -6 (remember to reverse the sign!)
Step 3: CheckWe now substitute our answer in and see if it is correct. We will use a number that is smaller than -6, for example, -8.
-1.2(-8) - 5.3 ≥ 1.9
9.6 - 5.3 ≥ 1.9
4.3 ≥ 1.9 ✅
We can check again with -6, since this and all numbers smaller than it should be a solution set.
-1.2(-6) - 5.3 ≥ 1.9
7.2 - 5.3 ≥ 1.9
1.9 ≥ 1.9 ✅
b ≤ -6 ✅Albert bought 9 pounds of fish at a grocery store at $5 per pound for salmon and $3 per pound for catfish. He spent a total of $37 on the salmon and catfish. This can be represented using the following system of equations:5s +3c = 37 s + c = 9 How many pounds of salmon did Albert purchase?
Answer:
5 pounds
Step-by-step explanation:
To find that we simply solve the system of equationsSo make c the subject of the formula of equation 2[tex]s+c=9\\c=9-s[/tex] Substitute in equation 1 [tex]5s+3c=37\\5s+3(9-s)=37\\5s+27-3s=37\\5s-3s+27-(27)=37-(27)\\2s=10\\s=5[/tex] so that's 5 pounds of salmonThere are 12 applicants for financial aid. The Scholarship allows four students to receive the money. How many different ways can these scholarships be awarded? The first scholarship is $1000, the second is $750, the third is $500, and the last is $250. Only place a numeric value as an answer.
Answer:
495 ways
Step-by-step explanation:
Given that:
Total number of applicants (n) = 12
Required number (r) = 4
Using the combination formula :
nCr = n! / (n-r)!r!
12C4 = 12! / (12 - 4)!4!
12C4 = 12! / 8!4!
12C4 = (12*11*10*9) / 4*3*2*1
12C4 = 11880 / 24
= 495 ways
What is the slope of the line that passes through the points (-5, 0) and (7, 8) ? Write your answer in simplest form
Answer
two-thirds
Step-by-step explanation:
8 over 1 2simplified is 2 over 3
Paula has $54. She bought some pencils, each costing $0.75, and a paper ream for $2.50. She is left with $42.50 after buying pencils and the ream of paper. She uses the equation Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. to find the number of pencils she bought. How many pencils did Paula buy?
Answer:
12 pencils
Step-by-step explanation:
let no. of pencils bought be x.
54 - 0.75x - 2.50 = 42.50
9 = 0.75x
x = 12
Topic: algebraic equations
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
In ΔDEF, d = 9.8 cm, e = 9.2 cm and f=4.7 cm. Find the measure of ∠E to the nearest degree.
Answer: 69
Step-by-step explanation: Trust
Which statement illustrates the distributive property?
Answer:
3(4+5) = 3(4) + 3(5)
Step-by-step explanation:
in distributive property, you multiply the number outside the parenthesis by both of the numbers inside, but still keeping the sign the same.
Answer:
b
Step-by-step explanation:
What number should go in the space?
Multiplying by 1.45 is the same as increasing by _____%.
Answer:
you would way nothing
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
2/3 = 12/x
O x=18
O x = 12
O x=36
O x=8
Hurry PLEASE IM BEING TIMED PLEASE
Answer:
D) 48
Step-by-step explanation:
i did the math and you answer is D because they both equal to 18 now have a good rest of your day and enjoy :)
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer: -4
Step-by-step explanation:
Answer:
- 1/4
Step-by-step explanation:
The formula to find slope from two points is (x₂ - x₁) / (y₂ - y₁).
Substituting the points in (2, 4 = x₁, y₁ and 5, -8 = x₂, y₂) we get (5 - 2) / (-8 - 4).
= 3 / -12
= - 1/4
(Tip: when assigning the numbers to the variables, make sure x₁, y₁ are always from the same pair.)
You and your friend skate at the same rate.You complete 5 laps in 7 minutes.How long does your friend take to complete 15 laps?
Answer:
21minutes
Step-by-step explanation:
its 21 minutes because 5x3=15 so 7x3=21
may someone please tell me the answer