At the end of each week, an employer gives some vacation hours to a few randomly selected employees. There are 25 employees in her department—11 males and 14 females. The employer wants to know how many ways there are to give vacation hours to 6 of the employees. How many possible groups of 6 employees can the employer choose?
Answer: There are 177100 possible groups.
Step-by-step explanation:
Given: Total employees = 25
Number of employees wants to choose = 6
The combination of n things taken r at a time is given by:-
[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
Put n = 25 and r= 6, we get
[tex]^{25}C_6=\frac{25!}{6!(25-6)!}\\\\=\frac{25\times24\times23\times22\times21\times20\times19!}{6!19!}\\\\=177100[/tex]
Hence, there are 177100 possible groups.
FOR TRAN HERE YOU GO
Step-by-step explanation:
(B) L = 182.9 cm +- 0.1 cm
W = 152.4 cm +- 0.1 cm
(C)
Smallest dimensions possible:
L = 182.9 cm - 0.1 cm = 182.8 cm
W = 152.4 cm - 0.1 cm = 152.3 cm
A = (182.9 cm)(152.3 cm)
= 27840.44 cm^2
To find the uncertainty for the area ∆A, we use the formula
[tex] \frac{da}{a} = \frac{dl}{l} + \frac{dw}{w} [/tex]
where da = ∆A, dl = ∆L, dw = ∆W
[tex] \frac{da}{27840.44 {cm}^{2} } = \frac{0.1cm}{182.8cm} + \frac{0.1cm}{152.3cm} [/tex]
[tex] = 0.000547 + 0.000657[/tex]
[tex] = 0.001204[/tex]
Therefore
∆A = 0.001204 × 27840.44 cm^2
= 33.52 cm^2
Rounding off the numbers to their significant figures,
A = 27840 cm^2 +- 33 cm^2
(D)
For the largest possible area,
L = 183.0 cm
W = 152.5 cm
A = 27905.5 cn^2
[tex] \frac{da}{27907.5 {cm}^{2} } = \frac{0.1cm}{183.0cm} + \frac{0.1cm}{152.5cm} [/tex]
[tex] = 0.001202[/tex]
∆A = 0.001202 × 27907.5 cm^2
= 33.55 cm^2
Therefore, the largest possible area is
A = 27910 cm^2 +- 33 cm^2
Which of the following is most likely the next step in the series?
Answer:
what is the topic
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Miguel bikes 23 km per hour and starts at mile 10. Gabby bikes 28 km per hour and starts at hour 0. Which system of linear equations represents this situation
Answer:
Miguel: d = 23t + 10
Gabby: d = 28t
Step-by-step explanation:
We can write the equation for each case in slope-intercept form, d = mt + b
Where,
d = total distance
t = time
m (rate) = distance/hr
b = initial value
✔️ Miguel:
m = 23 km/hr
b = 10 mile
Equation: subtitle the values into d = mt + b
d = 23t + 10
✔️ Gabby:
m = 28 km/hr
b = 0 mile
Equation: subtitle the values into d = mt + b
d = 28t + 0
d = 28t
PLEASE ANSWER URGENT
Answer:
D
Step-by-step explanation:
what is the correct claim
Answer:
Claim 1
Step-by-step explanation:
please help quickly pls D:
Find the exact value of sin 2pi/3
Answer:
Step-by-step explanation:
sin 2π/3
sin 180*2/3
sin 360/3
sin 120
[tex]\sqrt{3}[/tex]/2
The diameter of a circle is 20 ft. Find its area in terms of T.
Answer: A=
ft2
Submit Answer
7
Answer:
314.2ft^2
Step-by-step explanation:
Given data
Diameter= 20ft
Radius r= 20/2= 10ft
The expression for the area is
A= πr^2
A= 3.142*10^2
A= 3.142*100
A= 314.2ft^2
Hence the area is 314.2ft^2
does anyone know hot to find the area?
Letty has $5 in nickels, dimes, and quarters. She has 3 times as many nickels as dimes, and 5 times as much money in quarters as she does nickels. How many of each does she have?
Answer:
Letty has 15 quarters, 15 nickels, and 5 dimes.
Step-by-step explanation:
Given that Letty has $ 5 in nickels, dimes, and quarters, and she has 3 times as many nickels as dimes, and 5 times as much money in quarters as she does nickels, to determine how many of each does she have the following calculation:
Nickel = 5
Quarter = 25
25/5 = 5
Therefore, Letty has the same number of quarters as she has nickels, and therefore she has three times as many nickels and quarters as dimes.
3 x 0.25 + 3 x 0.05 + 1 x 0.1 = 1
15 x 0.25 + 15 x 0.05 + 5 x 0.1 = 5
Therefore, Letty has 15 quarters, 15 nickels, and 5 dimes.
A package 35 pencils costs $7.00. At this rate, what is the cost of 1 pencil?
.......................
Answer:
$0.20
Step-by-step explanation:
We need to find the unit rate in order to find the price of 1 pencil.
Divide the price by the amount.
7/35=1/5
A dollar is 100 cents, so the price is 1/5 of 100, or 20 cents.
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hope it helps
square root of 7396 by division method
Answer:
the square root of 7396 by long division method is 86
someone please help asap
Answer:
Hello! answer: 135 degrees
Step-by-step explanation:
Its forming a straight line so
180 - 45 = 135 therefore x = 135 hope that helps!
Answer:
Step-by-step explanation:
x+45=180 degree(being straight line)
x=180-45
x=135 degree
Calculate the volume of the cylinder
Answer:
4^4 = 16 (we square our radius when finding area)
16 x 3.14(we then multiply the squared radius with pi so we could get the complete area) = 50.24
Now we multiply the area of one circle by the height to get the PRISM'S volume.
50.24(area) x 13(height) = 653.12 cm^3 is your answer.
The diagram shows nine identical squares inside a rectangle.
The length of the rectangle is 18cm
Work out the width of the rectangle
Answer:
18 cm
Step-by-step explanation:
Let X represent a square
For it to be a rectangle, needs to be:
X X X
X X X
X X X
(It's a giant square made of squares)
This works since a square is a rectangle, but a rectangle isn't always a square. No other arrangement of the squares lead to a rectangle.
For Example:
X X X X
X X X X X
It doesn't work because there is an odd number of squares, and only would work if it was a multiple of 3,5,7 etc.. and 3 is the only number that fits.
So if the length is 18cm, the width is also 18cm.
By the end of February, Rachel's family had used 7,800 kilowatt hours (kWh) of electricity since they had moved in. On average, her family uses 900 kWh of electricity every month. Let x represent the number of months since the end of February and let y represent the electric meter reading, in kWh.
The prime cost of an article was four times the value of material used. The cost of raw materials was increased in the ratio 3 : 4 and the productive wage was decreased in the ratio 4 : 5. Find the present prime cost of an article, which could formerly be made for Rs. 540
Answer:
Step-by-step explanation:
The prime cost = 4 times the value of material used
Former Prime cost = 540
Value of material = 540 / 4 = Rs. 135
Since ;
Prime cost = raw material + wages
540 = 135 + wages
Wages = 540 - 135
Wages = 405
Increase in raw material ; 3 : 4
New cost of raw materials = (4/3) * 135 = 180
Decrease in wage ; 4 : 5
New wage = 4/5 * 405 = 324
New prime cost :
180 + 324
= 504
Solve the expression for a=12, b=6 and c=3
Look at the picture will give Brainlist !
Answer:
a=1 c=3 b=3
Step-by-step explanation:
Step-by-step explanation:
[tex] \frac{ {a}^{2} - bc}{b} = \frac{ {12}^{2} - 6 \times 3}{6} = \frac{144 - 18}{6} = \frac{126}{6} = 21[/tex]
THIS TOO GOD I NEED HELP SO BAD I DONT UNDERSTAND
Answer:
54.7
Step-by-step explanation:
16.7 + 11 + 11 + 8 + 8 = 54.7
Note
I don't know how you are wrong but I showed my work and I got the same answer which is weird.
Geometry
16. Find the value of x. The diagram is not to scale,
Answer:
72°
Step-by-step explanation:
A line is 180° and the total angle degrees are 180°
180 - 140 = 40
68 + 40 = 108
180 - 108 = 72
Can someone help me solve this. 6÷2(1+2)=
Answer:
9 is the correct answer
Step-by-step explanation:
please mark me as brainlist for the fast answer thanks
picture, brainliest
Answer:
165
Step-by-step explanation:
210/3=70
110/2=55
70×11=770
55*11=605
770-605= 165
y would be 165 greater in the table than on the graph when x=11
An item is regularly priced at $35. Salma bought it on sale for 95% off the regular price. Find how much Salma paid.
Answer:
1.75
Step-by-step explanation:
35x.95=33.25 discount
35-33.25=1.75
which value of x is in the domain of f(x) = square root of x-5
Marking brainliest
Why is this right important
The Box and whisker plot below shows the number of points each member of the middle school basketball team made during the game on Saturday. What was the greatest number of points scored by a basketball player during the game on Saturday?
Answer: You are correct. The answer is C) 7
This is because the max is visually shown by the tip of the right whisker. This assumes there are no large outliers. If there were large outliers, then we'd have island points to the right of the boxplot.
18 * 3 represents one way that some cans are placed in equal groups on shelves
Answer:okay I think you might have to multiply
Step-by-step explanation:
It says cans are places in equal groups so if you do 18 x 3 you get 54
Write the rule for the following situation
Johnny gets a job at enterprise rent-a-car. He has an hourly wage of $10 per hour and makes $100 for every car he rents out. Assuming he only rents out one car,
write a rule to tell how much money he can make in a day, depending on how many hours he works.
Answer:
M(t) = ($10/hr)t + $100
Step-by-step explanation:
M(t) will represent the amount of money John earns in one day as a function of the number of hours he works, assuming he only rents out one car. Then:
M(t) = ($10/hr)t + $100
Josh started his own lawn maintenance company. He makes $20 on every
lawn that he cuts and his monthly expenses are $325. How many lawns does Josh
need to cut this month so that he can earn a total of $160 after he pays his
monthly expenses?