Answers
Answer:
$ 78.68
Step-by-step explanation:
The following data were obtained from the question:
Pay >>>>>>>>>> Frequency
40 – 59 >>>>>> 15
60 – 79 >>>>>> 58
80 – 99 >>>>>> 27
100 – 119 >>>>> 22
Mean pay =?
Next, we shall determine the class pay. This can be obtained by adding the pay together and dividing by 2 as shown below:
L => is the lower pay interval
U => is the upper pay interval
Pay >>>>>>>>>> Class pay [(L+U)/2)]
40 – 59 >>>>>> 49.5
60 – 79 >>>>>> 69.5
80 – 99 >>>>>> 89.5
100 – 119 >>>>> 109.5
Thus, the table becomes
Pay >>>>>> Class pay >> Frequency
40 – 59 >> 49.5 >>>>>>> 15
60 – 79 >> 69.5 >>>>>>> 58
80 – 99 >> 89.5 >>>>>>> 27
100 – 119 > 109.5 >>>>>> 22
The mean pay can be obtained as follow:
Summation of class pay and frequency (ΣCF) = (49.5×15) + (69.5×58) + (89.5×27) + (109.5×22)
= 742.5 + 4031 + 2416.5 + 2409
= 9599
Summation of frequency (ΣF) = 15 + 58 + 27 + 22
= 122
Mean pay = ΣCF / ΣF
ΣCF = 9599
ΣF = 122
Mean pay = 9599 / 122
Mean pay = $ 78.68
Therefore, the mean pay is $ 78.68
Related Questions
7 more than a number ?
A)n+7
B)7+n
C)7-n
Answers
Answer:
B)7+n
Step-by-step explanation:
Answer:
A but see below.
Step-by-step explanation:
A is likely the best answer, although B is also correct. However you should write things in the other they are given.
n + 7 is the very best way to answer.
7 + n is not wrong but maybe not wanted.
A chain lying on the ground is 10 m long and its mass is 60 kg. How much work (in J) is required to raise one end of the chain to a height of 4 m?
Answers
Answer:
Approximately [tex]4.70 \times 10^{2}\; \rm J[/tex], assuming that [tex]g = 9.81\; \rm m \cdot s^{-2}[/tex].
Step-by-step explanation:
When the force [tex]F[/tex] is constant, moving by [tex]\Delta x[/tex] in the direction of the force would do a work of [tex]F \cdot \Delta x[/tex].
However, in this example, as an increasing portion of the chain gets lifted up, the force lifting the chain would increase in size. Hence, apply the integral form of this equation.
Let [tex]F(x)[/tex] denote the force required to lift the chain when the height above the ground is [tex]x[/tex] meters. At that moment, exactly [tex](x / 10)[/tex] of the chain would be above the ground. The mass of that much of the chain would be [tex](x / 10)\![/tex] the mass of the whole chain.
[tex]\begin{aligned}F(x) &= m(x) \cdot g \\ &= 60 \cdot \frac{x}{10} \cdot g = 6\, g\, x\end{aligned}[/tex].
Integrate with respect to [tex]x[/tex]:
[tex]\begin{aligned}\int \limits_{0}^{4} F(x) \cdot {\rm d} x &= \int \limits_{0}^{4} 6\, g\, x \cdot {\rm d} x \\ &= \left[(3\, g)\, x^{2}\right]_{x=0}^{x=4}\\ &= 48\, g \approx 4.7 \times 10^{2} \end{aligned}[/tex].
In other words, it would take approximately [tex]4.7 \times 10^{2}\; \rm J[/tex] of energy to raise one end of the chain to that height of [tex]4\; \rm m[/tex].
Someone help pleaseee :)) thanks guyss
Answers
2 7/10
Explanation:
First you multiply 5 by 2/5 which is 2.
Next you multiply 2 by 2 which is 4.
Then you multiply -3 by 1.1 or you can turn it into a fraction then multiply
-3x11/10 which is - 33/10 .
Finally you put them all together and add or subtract.
2+4-33/10=?
6 - 33/10=?
60/10-33/10=27/10=2 7/10
The product of-9/4 with another number is 7/3.what is the other number
Answers
Answer:
Step-by-step explanation:
(-9/4)x = 7/3
x = (7/3) · (-4/9) = -28/27
Find mZBAC
A
20°
B
11
11
Answers
Answer:
numbers dont do into math please move this to englash
Step-by-step explanation:
it posted worng
4.5=2c I need help plz
Answers
Answer:
[tex]c=2.25[/tex]
Step-by-step explanation:
[tex]4.5=2c\\2c=4.5\\c=4.5/2\\c=2.25[/tex]
Plz guys help I need help
Answers
1. What is your gross bi-weekly income if you are paid an annual salary of $85,700?
Answers
Answer:
Your gross bi-weekly incomeis of $824.
Step-by-step explanation:
An year has 52 weeks.
In this problem:
Bi-weekly payments, that is, 52*2 = 104 payments during the year, combining $85,700.
Your bi-weekly income will be of:
$85700/104 = $824
Your gross bi-weekly incomeis of $824.
A group of people went to a restaurant.
Each person chose one starter and one main course.
starter
main course
soup
lasagne
prawns
curry
the number of people who chose soup: the number of people who chose prawns = 2:3
Of those who chose soup,
the number of people who chose lasagne : the number of people who chose curry = 5:3
Of those who chose prawns,
the number of people who chose lasagne : the number of people who chose curry = 1:5
What fraction of the people chose curry?
Answers
Answer:
The fraction of the people who choose curry = [tex]\frac{13}{4}[/tex]
Step-by-step explanation:
As given,
Starter Main course
Soup Lasagna
Prawns Curry
The number of people who choose soup: the number of people who choose prawns = 2 : 3
Of those who chose soup,
The number of people who choose Lasagna : the number of people who chose curry = 5 : 3
Of those who chose prawns,
The number of people who chose Lasagna : the number of people who chose curry = 1 : 5
Let total number of people goes to restaurant = 5x
People who choose soup = [tex]\frac{2}{5}[/tex]×5x = 2x
People who choose prawns = [tex]\frac{3}{5}[/tex]×5x = 3x
Now, given,
Of those who choose soup,
The number of people who choose Lasagna : the number of people who chose curry = 5 : 3
So,
People who choose Lasagna after choosing soup = [tex]\frac{5}{8}[/tex]×2x = [tex]\frac{5}{4}x[/tex]
People who choose Curry after choosing soup = [tex]\frac{3}{8}[/tex]×2x = [tex]\frac{3}{4}x[/tex]
Also, given,
Of those who chose prawns,
The number of people who chose Lasagna : the number of people who chose curry = 1 : 5
So,
People who choose Lasagna after choosing prawns = [tex]\frac{1}{6}[/tex]×3x = [tex]\frac{1}{2}x[/tex]
People who choose Curry after choosing prawns = [tex]\frac{5}{6}[/tex]×3x = [tex]\frac{5}{2}x[/tex]
So,
Total number of people who choose curry = [tex]\frac{3}{4}x[/tex] + [tex]\frac{5}{2}x[/tex] = [tex]x ( \frac{3}{4} + \frac{5}{2} ) = x (\frac{3 + 10}{4} ) = x ( \frac{13}{4} ) = \frac{13}{4}x[/tex]
So ,
The fraction of the people who choose curry = [tex]\frac{Total number of people who choose curry}{Total number of people who go to restaurant} = \frac{\frac{13}{4} x}{x} = \frac{13}{4}[/tex]
A teapot is 1/3 full of tea. When all of the tea is poured into an empty container, the container is 2/3 full. What fraction of the tea from a full cup is needed to fill 1 entire container?
Answers
Multiply both sides by (3/2) in order to get 1 on the right-hand side.
(3/2)(1/3)t = (3/2)(2/3)C
simplify the equation to get the answer which is:
(1/2) teacup = 1 full container.
Solve the system of linear equations by substitution.
−5x+y=−7
−3x−2y=−12
Please help I'm having panic attacks about failing this test and failing the class this is my last test and I have a C please help
Answers
Answer:
[tex]x = 2 \\ y = 3[/tex]
[tex] - 5x + y = - 7.......(1) \\ - 3x - 2y = - 12......(2) \\ from \: (1) \\ y = - 7 + 5x \\ substitute \: in \: (2) \\ - 3x - 2( - 7 + 5x) = - 12 \\ - 3x + 14 - 10x = - 12 \\ [/tex]
[tex] - 13x = - 26 \\ x = \frac{ 26}{13} \\ x = 2[/tex]
[tex]y = - 7 + 5x \\ = - 7 + 5 \times 2 \\ = - 7 + 10 \\ y= 3[/tex]
Find an equivalent expression 3(2d+2) + 2(2d+5)
PLSSSSS I need help
The options are
1.) 10d + 26
2.) -10d+ 26
3.) -10d-6
4.) 10d +16
5.) 10d - 4
thankyouuu
Answers
Answer:
10d+16
Step-by-step explanation:
=>3(2d+2)+2(2d+5)
=>6d+6+4d+10
=>10d+16
Disposable income is the amount available for spending and saving after taxes have been paid and is one gauge for the state of the economy. Using U.S. Energy Administration data for selected years from 2010 and projected to 2040, the total U.S. disposable income, in billions, can be modeled by D(t) = 10,020e0.02292t where t is the number of years past 2010. In what year is disposable income predicted to be $17 trillion (that is, $17,000 billion)?
Answers
Answer:
The disposable income predicted to be $17 trillion in 2033.
Step-by-step explanation:
The disposable income, in billions, in t years after 2010 is given by the following function>
[tex]D(t) = 10020e^{0.02292t}[/tex]
In what year is disposable income predicted to be $17 trillion (that is, $17,000 billion)?
This is t for which [tex]D(t) = 17000[/tex]. So
[tex]D(t) = 10020e^{0.02292t}[/tex]
[tex]17000 = 10020e^{0.02292t}[/tex]
[tex]e^{0.02292t} = \frac{17000}{10020}[/tex]
[tex]\ln{e^{0.02292t}} = \ln{\frac{17000}{10020}}[/tex]
[tex]0.02292t = \ln{\frac{17000}{10020}}[/tex]
[tex]t = \frac{\ln{\frac{17000}{10020}}}{0.02292}[/tex]
[tex]t = 23[/tex]
2010 + 23 = 2033
The disposable income predicted to be $17 trillion in 2033.
Amber has determined that the experimental probability of making a free throw in basketball is 12/15. What it the probability of missing a basket?
Answers
Answer:
3/15, 1/5, or 0.2 probability. Highly unlikely
Explanation:
12/15 is the shown probability. The leftover is 3/15, so 3/15 is the chance of missing the basket.
~Hope this helps~
Three robots go out to lunch. They decide
to share the $11.91 bill evenly. How much
does each robot pay? WHATS the equation???
Answers
15=1.5t
Solve the equation for the variable. Remember to write t= when you write your answer!
Answers
Answer:
t = 10
Step-by-step explanation:
15 = 1.5 × t
15/1.5 = t
10 = t
mark me as brainlistFind an equivalent expression 8(2d+3) + 2(-3d+1)
PLSSSSS I need help
The options are
1.) 10d + 26
2.) -10d+ 26
3.) -10d-6
4.) 10d +16
5.) 10d - 4
thankyouuu
Answers
Answer:
1. 10d + 26
Step-by-step explanation:
Given.
8(2d+3) + 2(-3d+1)
= 16d + 24 - 6d + 2
= 10d + 26
Hope it will help :)
Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.
y = [tex]\frac{3}{2}[/tex]x
y = -x + 5
WILL PICK BRAINLIEST ANSWER, THANK YOU, AND 5 STAR FOR FULL EXPLANATION. :)
Answers
Answer:
1 1/2
Step-by-step explanation:
(please answer thank you!)
The cost of a hamburger is $1.15 more than an order of large fries. Bill bought two hamburgers and an order of fries for a total of $8.60. What is the price of each item? Give your answer in full sentences.
Answers
Answer:
The order of large fries costs $ 2.10, while each hamburger costs $ 3.25.
Step-by-step explanation:
Given that the cost of a hamburger is $ 1.15 more than an order of large fries, and Bill bought two hamburgers and an order of fries for a total of $ 8.60, to determine what is the price of each item, the following calculation must be performed:
X + X + 1.15 + X + 1.15 = 8.60
3X + 2.30 = 8.60
3X = 8.60 - 2.30
X = 6.30 / 3
X = 2.10
Thus, each order of large fries costs $ 2.10, while each hamburger costs $ 3.25.
f(x) =
=
Find f'(x) and f''(x).
+
EL
ALEHER
24
) (
f''(x) = {
Epe
Answers
To make things easier, first rewrite
f(x) = x / (x + 7/x) = x ² / (x ² + 7)
i.e. multiply f by x/x, which is valid because x can't be 0 anyway as it's outside the domain of f.
Now, by the quotient and chain rules, we get
f '(x) = ((x ² + 7) (x ²)' - x ² (x ² + 7)') / (x ² + 7)²
… = (2x (x ² + 7) - x ² (2x)) / (x ² + 7)²
… = (2x ³ + 14x - 2x ³) / (x ² + 7)²
… = 14x / (x ² + 7)²
f ''(x) = ((x ² + 7)² (14x)' - (14x) ((x ² + 7)²)') / ((x ² + 7)²)²
… = (14 (x ² + 7)² - (14x) (2 (x ² + 7)² (x ² + 7)')) / (x ² + 7)⁴
… = (14 (x ² + 7)² - (14x) (2 (2x) (x ² + 7)²)) / (x ² + 7)⁴
… = (14 (x ² + 7)² - 4x (14x) (x ² + 7)²) / (x ² + 7)⁴
… = 14 (x ² + 7)² (1 - 4x) / (x ² + 7)⁴
… = 14 (1 - 4x) / (x ² + 7)²
… = (14 - 56x) / (x ² + 7)²
Please help I need due rn
Answers
Answer:
4 3/12
Step-by-step explanation:
= 4.25 = 4 1/4 = 4 3/12
A plane is flying to Metro City. The plane started its journey 1275 miles from Metro City.
Write an equation in standard form to represent the situation if the plane travels a hours at 550 mph and b hours at
590 mph.
Which equation is correctly written in standard form to represent this scenario?
0 590a - 550b = 1275
550a +590b = 1275
590a + 550b = 1275
550a - 5906 = 1275
Answers
Answer:
550a + 590b = 1275
Step-by-step explanation:
We use the following relation to solve this question:
[tex]v = \frac{d}{t}[/tex]
In which v is the velocity, d is the distance and t is the speed.
In this question, we find the distance, so we use:
[tex]d = v*t[/tex]
A plane is flying to Metro City. The plane started its journey 1275 miles from Metro City.
This means that [tex]d = 1275[/tex].
Write an equation in standard form to represent the situation if the plane travels a hours at 550 mph and b hours at 590 mph.
This means that [tex]v*t = 550a + 590b[/tex].
Which equation is correctly written in standard form to represent this scenario?
[tex]d = v*t[/tex]
1275 = 550a + 590b
550a + 590b = 1275
Two sides of a triangle have the same length. The third side measures 3 m less than twice that length. The perimeter of the triangle is 25m. Find the lengths of the three sides.
Answers
Answer:
two sides have the length of 7m
third side is 11m
Step-by-step explanation:
perimeter is the sum of all sides
let 'n' = length of congruent sides
let '2n - 3' = length of third side
25 = n + n + 2n - 3
25 = 4n - 3
28 = 4n
n = 7m
2(7) - 3 = 11m
How many full 5/8 ft pieces of wood can you cut from a board that is 458 feet long?
Answers
Answer:
732 pieces
Step-by-step explanation:
458/5/8
= 458* 8/5= 732 pieces
if my answer helps please mark as brainliest
Help ASAP I’ll mark brainliest
Answers
Answer:
C. 254
Step-by-step explanation:
There are 3 different types of engineers listed in the chart, Electrical, Chemical, and Mechanical. Under the first column of math, add together the numbers for all three engineers.
85+80+89= 254
Therefore, 254 engineers chose math as their favorite subject.
92 divided by the sum of 49 and 36?
Answers
Answer:
92/85
Step-by-step explanation:
Question 2
28 inches
3.5 feet
Write the following ratio in lowest terms.
Hint: 1 foot = 12 inches
Back
Next
It looks like 28inches
—————-
3.5 feet
Answers
3.5 feet = 1 1/15 meters
Tony invests $3,000 dollars in an account earning 12% interest per year. How long will it take
him to make $3960 dollars in simple interest?
3 years
5 years
8 years
11 years
Answers
Answer: 11 years
Step-by-step explanation: 3960 divided 12%= 33,000 divided 3000=11
Answer: it will take 11 years
Estimate the quotient of 1246 divided by 4
Answers
Answer:
623/2
Step-by-step explanation:
Answer:
It’s about 311.5
Two more than 11 times a number is equal to 24. What is the number.
Answers
Answer:
2
Step-by-step explanation: