Answer:
c
Step-by-step explanation:
The table shows the monthly salaries for employees at a company.
a. Find the mean, median, and mode of the data.
The mean is $
. The median is $
. The mode is $
.
Question 2
b. Each employee receives a 5% raise. Find the mean, median, and mode of the data with the raise. How does this increase affect the mean, median, and mode of the data? Round to the nearest cent.
The mean is $
The median is $
The mode is $
The raise increases the mean, median, and mode by
%.
Question 3
c. Use the original monthly salaries to calculate the annual salaries. Find the mean, median, and mode of the annual salaries. How are these values related to the mean, median, and mode of the monthly salaries?
The mean is $
. The median is $
. The mode is $
.
These values are ____ times the mean median, and mode of the monthly salaries.
(Also please explain how you got the answers.)
Answer:
30
Step-by-step explanation:
30
The mean, median, and mode of the given monthly salary is 1794, 1790, and 1940, respectively.
What is the measure of central tendency?Measures of central tendency assist in the discovery of a data set's middle, or average. The mode, median, and mean are the three most popular metrics of central tendency.
Mode: It is the most common value in a given data set.
Median: In an ordered data set, the median is the number in the middle.
Mean: It is the total number of values divided by the sum of all values.
For the given data, the mean, median and the mode of the data can be found as shown below,
Sum of the Observations
= 1940 + 1660 + 1860 + 2100 + 1720 + 1540 + 1760 + 1940 + 1820 + 1600
= 17940
Number of Observations = 10
The mean of the data is,
Mean = Sum of Observations / Number of Observations
= 17940 / 10
= 1794
The median of the data can be found by arranging the data in an order first. Therefore, the data can be arranged as,
1540160016601720176018201860194019402100The median of the data is,
Median = (Sum of the two mid values) / 2
= (1760 + 1820) / 2
= 1790
The mode of the data is 1940, since this is repeated twice.
b.
If the salary of each employee is increased by 5% that means that the value of each observation in the data will increase by 5%. Therefore, The raise increases the mean, median, and mode by 5% each.
c.
As it is now required to find the mean, median, and mode of the annual salary; there is a need to multiply the monthly salary of each employee by 12. Therefore, the value of each observation will be 12 times its original value. These values are 12 times the mean median, and mode of the monthly salaries.
Learn more about the Central Tendency here:
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Help with question 3 please I’ll give brainlest
Answer: b
Step-by-step explanation: When you rotate it around the axis (think of it as a pole) it will become a cylinder with radius 5
Two sides of a triangle measure 5
units and 3 units. The perimeter
of the triangle is 12 units. What is
the measure of the third side?
Answer:
4 units
Step-by-step explanation:
5+3=8
12-8=4
what is the answer to
-6x+4(-2+8y)- 2y+ 4
Answer:
− 6 + 3 0 − 4
Answer:
do you mean simplify the expression?
-6x+4(-2+8y)- 2y+ 4
-6x - 8 + 32y - 2y + 4
-6x + 30y + 4 - 8
-6x + 30y - 4
Please awnser correctly! I will mark you as Brainliest!
Can someone help me?!?!
Answer:
b, d, and f are 70°. a, c, g, and e are 110°
Step-by-step explanation:
Please solve as soon as possible thank you I appreciate it!
Jackson has a table with a square top and he wants to buy a circular piece of lace
that will cover the entire top of the table. The top of the table has side lengths of 12
inches, as shown.
12 in
12 in
What is the area, in square inches, of the smallest circular piece of lace Jackson could
Answer:
144
Step-by-step explanation:
the area is 144 im prob wrong
Evaluate the expression for the given value of x.
3/4 x − 12 for x = 16
Answer:
if x is 16 then 3/4(16) - 12
when you simplify 4 by 16
3(4)-12
12-12=0
A box is to be wrapped in a red decorative paper. The box is 9 inches long, 5 inches wide and 4 inches high. What is the minimum amount of decorative paper needed to cover the box? *
SA= 2 (4)(5) + 2(5)(9) + 2(4)(9)
SA= 202in^2
If the box contains confetti, how much cubic inches of confetti are needed to fill the box?
V= lwh
= 4*5*9
= 180 in^3
can someone help me and explain this?? thanks so much!
Answer:
Step-by-step explanation:
10^7 = 1 and 7 zeros after it.
=> 10000000
I need help . Pretend they are labeled a-e
Answer:
a definitely, and maybe e, im not sure
Step-by-step explanation:
let me know if it was right
Can someone state the range of this function pleaseee?
Answer:
Range = [0, ∞)
Step-by-step explanation:
Range is the y-values
For this question y starts at 0 and just continually goes up so:
Range = [0, ∞)
Find the value of the variable. If the answer is not an integer, leave it in simplest radical form,
15
A. 16^2
B16
C 17
D. 17^2
Help Please!!!!! (Look at picture
To find the x-intercept, we let y = 0 and solve for x and to find y-intercept, we let x=0 and solve for y. Figure out the x-intercept and y-intercept in given equation of the line.
6x + 2y = 12
Answer:
x-intercept = 2
y-intercept = 6
Step-by-step explanation:
x-intercept: 6x = 12; x = 2
y-intercept: 2y = 12; y = 6
1/2 x 240 im just too lazy to do it lol
Answer: 120
Step-by-step explanation:
Is (x+5)2 equivalent to 2x2+10x +10? Explain why or
why not?
Answer:
no
Step-by-step explanation:
no because its equal to 2x+10
What is 1/2 ( f - 10 ) when f= 16
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
8 yd
cubic yards
XA ) -
Calculate the volume of the prism by first finding the total number of half-unit
cubes that will fill it. There are 8 half-unit cubes in every unit cube.
23
A. Number of half-unit cubes = 10
V = 2 cubic units
B. Number of half-unit cubes = 20
V=2 cubic units
O C. Number of half-unit cubes = 20
V = 10 cubic units
D. Number of half-unit cubes = 10
V = 5 cubic units
Answer:
Option B will be your answer
Step-by-step explanation:
V=2 1/2×1/2×2
=2.5 cube
volume of 1/2 cubic units =)(1/2×1/2×1/2=0.125cube^3
2.5/0.125=20
Hope it helps...
v = 2½
number of half unit cubes = 20
Consider the function f(x)=6x+5
(A) find it’s average rate of change by changing x=1 to x=5
Answer: I really don’t know
Step-by-step explanation: I need help with this as well. I’m really sorry if you were looking for a real answer
The width of a rectangle is 4 feet and the diagonal length of he rectangle is 13 feet what is the measurement is the closest to the length of the rectangle in feet
Answer:
The length is APPROXIMATELY equal to 12.4.
Step-by-step explanation:
Use the converse of the Pythagorean Theorem ([tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex] [where "c" is both the longest side and the hypotenuse]) since a rectangle's diagonals will always cut it into two right triangles:
[tex]13^{2} = 169[/tex]
[tex]4^{2} =16[/tex]
169-16=153.
[tex]\sqrt{153}[/tex] ≈ 12
or
[tex]\sqrt{153}=12.36931688[/tex]
or if the problem has to be exact (using radicals)
3*[tex]\sqrt{17}[/tex]
I hope this helps ;)
5k + 2 = 6
What is this
The seesaw moves and the angle created by the left side of the seating board and the central support is now 80 degrees. Create and use a model, to find the distance from point Q to the ground when the angle created by the left side of the seating board and the central support is 80 degrees. Show your work or explain your answer. Round your final answer to the nearest tenth of a foot. Enter your model, your answer, and your work or explanations in the space provided.
Answer:5.7
Step-by-step explanation:
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance between the point Q and the ground is h-[L cos(80°)].
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The Base is the adjacent smaller side of the angle θ.
Let the height of the support be h and the height between the point q and the ground is x. Also, the distance between point Q and the support of the seesaw is L.
Now if we look at the ΔQAR, the measure of the ∠QRA is 80°, therefore, the sine of ∠QRA can be written as,
[tex]\rm Cos(\theta)=\dfrac{Base}{Perpendicular}\\\\Cos(\angle QRA) = \dfrac{AR}{QR}\\\\Cos(\angle QRA) = \dfrac{h-x}{L}\\\\L \times Cos(80^o)=h-x\\\\x=h-[L\ Cos(80^o)][/tex]
Hence, the distance between the point Q and the ground is h-[L cos(80°)].
Learn more about Tangent (Tanθ):
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write the equation of the circle graph below?????
Answer:
(x+2)^2 + (y+2)^2 = 0.75^2
Step-by-step explanation:
equation of a circle in standard form: (x-h)^2 + (y-k)^2 = r^2
center: (-2, -2)
radius: 0.75
equation of the circle in provided graph: (x+2)^2 + (y+2)^2 = 0.75^2
if you made 180$ every week, how much would you have in a year, it's a simple one and it's not for school I make 40 dollars a day with my dad at work
Answer:
About $9360
Step-by-step explanation:
There's about 52 weeks in one year, so if you multiply 52 by your weekly gain, your annual income will be approximately $9360.
I hope this is helpful ^^
Denira needs to run 9 4/10 miles this week to meet her goal for her training plan. So far this week she has run 3 1/2 miles on Monday and 2 1/2 miles on Tuesday. How many more miles does she need to run this week in order to meet her goal
Answer:
3 2/5
Step-by-step explanation:
Add the distance she already ran, and subtract the sum from the total she needs to run.
Add two distances she ran:
3 1/2 + 2 1/2 = 3 + 2 + 1/2 + 1/2 = 5 + 1 = 6
Subtract sum from total:
9 4/10 - 6 = 3 4/10 = 3 2/5
Answer:
She needs to run 3 4/10 more miles
Step-by-step explanation:
If you add the amount she ran on Monday and the amount she ran on Tuesday you get 6 miles then subtract the 6 miles minus 9 4/10 you will get 3 4/10.
Solve the system of equations below.
Find the volume of a right circular cone that has a radius of 4 inches and a height of 12 inches. A. 36 in. B. 48 in. C. 52 in. D. 64 in.
Answer:
A) 36 inches
36 Incheon is the correct answer
Answer:
D.) 64pi in.³
Step-by-step explanation:
I got it right in quiz, trust me.
I hope this helps! ^^