The following table shows the salary of 7 people in an office last year.
Name Income
Andy £13500
Bevan £27500
Cheryl £13750
Deva £79000
Elliott £19250
Frankie £27500
Grace £15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service.
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
Answer:
a. Mean = £27928.57
b. Mean without Deva's income = £19416.67
Step-by-step explanation:
The mean is calculated by dividing the sum of values by number of values. Given 7 values will be used to calculate mean.
So,
Number of values = n = 7
Now,
[tex]Mean = \frac{Sum}{No.\ of\ values}\\=\frac{13500+27500+13750+79000+19250+27500+15000}{7}\\=\frac{195500}{7}\\=27928.5714..[/tex]
Rounding off to two decimal places
Mean income = £27928.57
Now we have to calculate mean without Deva's income so the number of values will be 6 and the sum will be:
[tex]Sum = 195500-79000 = 116500[/tex]
The mean without Deva's income is:
[tex]Mean = \frac{116500}{6} = 19416.6666..[/tex]
Rounding off to 2 DP
Mean = £19416.67
Hence,
a. Mean = £27928.57
b. Mean without Deva's income = £19416.67
Jillian has a coin purse filled with quarters and dimes. She has a total of 21 coins.
All of the coins together have a value of $3.45. How many dimes does Jillian have?
o 7 dimes
o 9 dimes
o 12 dimes
o 14 dimes
SUBMIT RESPONSE
Answer:
12 dimes
Step-by-step explanation:
1 dollar= 4 quarters
1 dime=10 cents
3.45-1.20=2.25
2 dollars= 8 quarters
2.25-2.20=.25
1 quarter=.25
SOOOO your answer is 12 dimes
If JKLM is a trapezoid, which statements must be true? Check all that apply.
A. JK=~KL
B. J is congruent to M.
DC. JK is parallel to LM.
I D. J is congruent to K.
E. KL is parallel to JM.
OF Jis supplementary to K.
JKLM is a trapezoid. Statements A and E are correct.
What is the definition of geometry?It is concerned with the geometry, region, and density of various 2D and 3D shapes. There are two parallel sides and two non-parallel sides to a trapezoid.
These are the actual statements:
(a) J is supplementary to K
(e) KL is parallel to JM
Hence, statements A and E are correct.
To learn more about geometry, refer to
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Help me please it’s due today
Answer:RTP,NM, X=7
Step-by-step explanation:
Tinanatamad akong isulat ang step by step sorry
It took Jodi 4 hours to run 2/3 miles. How many miles will Jodi run if he runs for 2 hours?
Simplify the expression:
7p+6q-2p+q
Answer:
5p+7q
Step-by-step explanation:
Answer:
5p+7q
Step-by-step explanation:
You add common terms together.
(7p-2p)+(6q+q)
5p+7q
Hope I helped!
What is the square root for this numberZ
2700 is a perfect cube. True/False?
Answer: False
Step-by-step explanation:
Answer:
It is false hope this will be
Please solve: (in a hurry)
will name the brainliest!!!
include steps!
Answer:
Step-by-step explanation:
The front and back covers of a textbook are each 0.3 cm thick. Between the covers are 200 sheets of paper, each 0.008 cm thick. How high is a stack of 10 books
Answer:
22 cm
Step-by-step explanation:
Start off by multiplying the number of pages by the thickness.
200*0.008=1.6
Add the thickness of the front and back cover.
1.6+0.6=2.2
Multiply by 10.
2.2*10=22 cm
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The height of the 10 stacks of books is 22cm.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that the front and back covers of a textbook are each 0.3 cm thick. Also, there are 200 sheets of paper between the cover and the thickness of each sheet is 200 sheets. Therefore, the thickness of the book is,
The thickness of a single book
= (Number of covers × Thickness of cover) + (Number of sheets × Thickness of sheets)
= (2 × 0.3cm) + (200 × 0.008cm)
= 2.2 cm
Now, the thickness of 10 books will be,
The thickness of 10 books = 10 × the Thickness of a single book
= 10 × 2.2 cm
= 22 cm
Hence, the height of the 10 stacks of books is 22cm.
Learn more about Multiplication here:
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Eric plots points showing equivalent ratios on the coordinate plane below.
What is true about the relationship between the four points?
The points form a curve.
The points form a straight line.
The points are randomly scattered.
The points do not show any relationship.
Answer: The points form a straight line.
Step-by-step explanation:
1c) What is 25% of 40?
8.5
25% of 40
=25/100×40
=0.25×40
=10 answer.
Find the missing factor D that makes the equality true.
– 15y4 = (D)(3y?)
Answer:
[tex]-15y^{4} = D(3y^{2})\\-15y^{4}/3y^{2} = -5y^{2} \\D = -5y^{2}[/tex]
Step-by-step explanation:
f (x) = 3x +2
fine the inverse of the function
Determine the value of X.
Answer:
25
Step-by-step explanation:
8x-20=180
8x=200
x=25
1)What value for y makes the equation 2(y-4)+8=12+y true?
A. -6
B. 12
C. 6
D. 8
2)Which number below does not satisfy the given inequality: -4x - 6 > -14?
A. -4
B. -2
C. 0
D. 2
Answer:
1. Option B- y=12
2. Option D - 2
Step-by-step explanation:
1. 2(y - 4) + 8 = 12 + y
2y - 8 + 8 = 12 + y
add like terms -8 + 8 is 0 so
2y = 12 + y
Subtract y
1y = 12
Divide by 1
y= 12
2. -4(2) - 6 > -14
-8 - 6 > -14
-14 > -14
This is not true because -14 is not greater than -14, they are equal.
Hope this helps.
3(2m-3)=5(m+1) What is the value of m
Answer:
14!
Step-by-step explanation:
3(2m-3)=5(m+1)
Step 1: 6m-9 = 5m + 5
Step 2 : Add 9 to -9 and 5
6m= 5m+14
Step 3: Subtract 5m from 6 and 14
Simplify!
m=14
In a triathlon, Kailee swam for 1 hour, biked for 1.75 hours, and ran for 1 hour. Her average biking speed was 2 times her average running speed, and her average running speed was 8 times her average swimming speed. The total distance of the triathlon was 55.5 kilometers. Write an equation and solve it to find Kailee’s average swimming speed in kilometers per hour.
The problem tells you to make a sketch, a table, and equation but I only want an equation please. No answer either.
Answer:
Swimming speed, S = 1.50 km/hr
Step-by-step explanation:
Let Kailee's running speed be R
Let Kailee's biking speed be B
Let Kailee's swimming speed be S
Given the following data;
Time for swimming = 1 hour.
Time for biking = 1.75 hour.
Time for running = 1 hour.
Total distance = 55.5km
Translating the word problem into an algebraic equation, we have;
Biking speed = 2*8S = 16S
Running speed = 8S
We know that the distance covered by an object or body is given by the formula;
[tex] Distance = speed * time[/tex]
Now we would find the distance covered in each activity (biking, running and swimming).
For biking;
[tex] Distance, D_{1} = 1.75*16S [/tex]
Distance, [tex] D_{1} [/tex] = 28S
For running;
[tex] Distance, D_{2} = 1*8S[/tex]
Distance, [tex] D_{2} [/tex] = 8S
For swimming;
[tex] Distance, D_{3} = 1*S[/tex]
Distance, [tex] D_{3} [/tex] = S
The equation for the total distance covered in the triathlon is given by;
Total distance = sum of all distances covered
[tex] Total distance = D_{1} + D_{2} + D_{3} [/tex]
Substituting into the equation, we have;
[tex] 55.5 = 28S + 8S + S[/tex]
[tex] 55.5 = 37S[/tex]
[tex] S = \frac {55.5}{37} [/tex]
S = 1.50 km/hr
Therefore, Kailee’s average swimming speed is 1.50 kilometers per hour.
You and your friend are trying to meet up at the park. You are currently 256 m directly west from the centre of the park. Your friend is currently 388 m directly north from the centre of the park. What is the distance between you and your friend?
Answer:
The distance between the two is 465 meters
Step-by-step explanation:
We first need to set up a triangle that shows the relative position and distances of the two friends
Please check attachment for this
To get this distance, which represents the hypotenuse of the triangle, we make use of Pythagoras’ theorem
Mathematically;
Pythagoras’ theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides
Thus;
D^2 = 256^2 + 388^2
D^2 = 216,080
D = √216,080
D = 464.84 which is approximately 465 m
n 2+ 7n + 15 = 5 show work
Answer: n2+7n+15−5=5−5
n2+7n+10=0
Step 2: Factor left side of equation.
(n+2)(n+5)=0
Step 3: Set factors equal to 0.
n+2=0 or n+5=0
n=−2 or n=−5
Answer:
n=−2 or n=−5
Step-by-step explanation: hope that helps
How long does it take for the ball to hit the ground (in seconds) rounded to the nearest hundredth
Answer:
I need some numbers to do this problem
Step-by-step explanation:
Answer:
Depends on the height of the ball and I don’t see that
Step-by-step explanation:
HELP ASAP! WILL MARK BRAINLYNESS OR WHATEVER ITS CALLED
Which statement best describes a graph of paired points that form a proportional relationship?
A straight line can be drawn through all the points and the line passes through the origin.
A straight line cannot be drawn through all of the the points but the line passes through the origin.
A straight line can be drawn through all the points but the line does not pass through the origin.
A straight line cannot be drawn through all of the the points and the line does not pass through the origin.
Answer:
the first one.
Step-by-step explanation:
The correct answer is "A straight line can be drawn through all the points and the line passes through the origin."
-5(3x+6)=-3(4x-2) Solve for x please! Show work to prove your answer.
Answer:
x = -12
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
please help asap
is x= -3 what is the value of |x-4|-x^2
thank you
Answer:
16
check your math
|(-3)-4|=7
-3^2=-9
7-(-9)=16
welcome <3
I ONLY HAVE 5 MIN TO TURN THIS IN PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Perform the operation below
(3x^2-10x+4)+(10x^2-5x+8)
Answer:
132−15+12
Step-by-step explanation:
Answer:
13x² - 15x + 12Step-by-step explanation:
(3x^2-10x+4)+(10x^2-5x+8)
= 3x² - 10x + 4 + 10x² - 5x + 8
= 3x² + 10x² - 10x - 5x + 4 + 8
= 13x² - 15x + 12PLEASE HELP ME ANSWER NOW!!!! 15 POINTS
Answer:
x = 4
Step-by-step explanation:
6x + 4 = 12x - 20
x = 4
Decrease £14132.77 by 14.5%
Give your answer rounded to 2 DP
Answer:
£12083.52
Step-by-step explanation:
Given amount:
Amount = £14132.77
Percentage decrease = 14.5%
Solution:
To decrease the given amount by 14.5% implies multiply it by:
[tex]\frac{100-14.5}{100}[/tex] = 0.855
Now;
Decreased amount = £14132.77 x 0.855
Decreased amount = £12083.52
PLEASE SOLVE!!
IN A HURRY
WILL name the BRAINLIEST!!!
Answer:
62
Step-by-step explanation:
96 divided by 2 = 48
48 - 14 = 34
48 + 14 = 62
34 + 62 = 96 (total cars washed)
You're welcome
15 POINTS WILL GIVE BRAINLIEST
Find the range of the following piecewise function.
f(x){x^2+2 if -5≤x<3}
f(x){x-4 if 3≤x<7}
[27,3)
(-22,3]
(27,3]
[-22,3)
Answer:
[27,3) i think
Step-by-step explanation:
Your friend tells you that if you let him keep 50 of your Pokemon cards for a month, he will give you 1 extra card when he returms your cards. What is the annual rate of interest he is willing to pay for the borrowed cards?
Answer: 1 extra card
Step-by-step explanation: