Answer:
38760 selections result in all 6 workers coming from the day shift.
Step-by-step explanation:
The order in which the workers are chosen is not important, which means that we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
a. How many selections result in all 6 workers coming from the day shift:
20 workers are employed on the day shift, so this is a combination of 6 from a set of 20.
[tex]C_{20,6} = \frac{20!}{6!(20-6)!} = 38760[/tex]
38760 selections result in all 6 workers coming from the day shift.
QUICK HELP PLEASE
Robert found an old game in a closet and and wanted to play it. However, a Portion of the spinner shown at the right could not be read. Find the missing portion of the spinner for Robert.
Answer:2/36 or 1/18
Step-by-step explanation:
ANSWER:
2/36
EXPLANATION: Find what the gcf factor of all the denominators are the gcf of all the denominators is 36 but what you do to the top do to the bottom then add 3/36+4/36+6/36+9/36+12/36=34/36 so you need 2/36 to have a full circle
Help ASAP!!! I’m confused. Thank you!
Answer:
y = 23
Step-by-step explanation:
115 = 5y
Divide 5 by both sides of the equation.
y = 23
1. Which solid has one base that is a rectangle and four lateral surface that are triangles?
A- Triangular Pyramid
B- Cone
C- Rectangular Prism
D- Rectangular Pyramid
2. A solid with at most one base CANNOT be which of the following?
A- Cone
B- Cube
C- Pyramid
D- Sphere
Pls help I don't need an explanation just the answer please :)
home security service. This private home security service guarantees to either dispatch one of their own five guards immediately if one of their customers sends in an alarm or, in the case that all five guards are responding to other calls, direct the alarm to the local police. The company receives 12 calls per hour, evenly distributed over the course of the day. The local police charges the home security company $500 for every call that the police responds to. It takes a guard, on average, 90 minutes to respond to an alarm. a. What fraction of the time are incoming alarms directed to the police? b. How much does the home security company have to pay the local police every month?
Answer:
a.
The fraction of the time is incoming alarms directed to the police is 74.02%
b.
The home security company has to pay $3,197,665 the local police every month.
Step-by-step explanation:
As per the given data
Numbers of guards = 5 guards
Calls received per hour = 12 calls per hour
Activity time = 90 minutes
First, calculate the inter-arrival time
Inter-arrival time = Minutes in an hour / Numbers of calls received per hour = 60 minutes per hour / 12 calls per hour = 5 minutes
a.
First, calculate the ratio of activity time to inter-arrival time
Ratio = Activity time / Inter-arrival time = 90 minutes / 5 minutses = 18
Now calculate the probability of all 5 servers are busy using ratio of activity time to inter-arrival time
Probability = [tex]P_{Servers}[/tex] ( ratio )
Probability = [tex]P_{5}[/tex] ( 18 )
Probability = 0.7402
Probability = 74.02%
Hence the probability of incoming calls directed to the police is 74.02%
b.
First, calculate the loss of customers
Loss of customers = Probability x ( 1 / Servers )
Loss of customers = 74.02% x ( 1 / 5 )
Loss of customers = 0.7402 x 0.20
Loss of customers = 0.14804 per minute
Loss of customers = 0.14804 per minute x 24 x 60 x 30 = 6,395.33 calls per month
Now calculate the total loss
Total loss = 6,395.33 calls x $500
Total loss = $3,197,665
In Exercises 45–48, let f(x) = (x - 2)2 + 1. Match the
function with its graph
Answer:
45) The function corresponds to graph A
46) The function corresponds to graph C
47) The function corresponds to graph B
48) The function corresponds to graph D
Step-by-step explanation:
We know that the function f(x) is:
[tex]f(x)=(x-2)^{2}+1[/tex]
45)
The function g(x) is given by:
[tex]g(x)=f(x-1)[/tex]
using f(x) we can find f(x-1)
[tex]g(x)=((x-1)-2)^{2}+1=(x-3)^{2}+1[/tex]
If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.
[tex]g(x)'=2(x-3)[/tex]
[tex]2(x-3)=0[/tex]
[tex]x=3[/tex]
Puting it on g(x) we will get y value.
[tex]y=g(3)=(3-3)^{2}+1[/tex]
[tex]y=g(3)=1[/tex]
Then, the minimum point of this function is (3,1) and it corresponds to (A)
46)
Let's use the same method here.
[tex]g(x)=f(x+2)[/tex]
[tex]g(x)=((x+2)-2)^{2}+1[/tex]
[tex]g(x)=(x)^{2}+1[/tex]
Let's find the first derivative and equal to zero to find x and y minimum value.
[tex]g'(x)=2x[/tex]
[tex]0=2x[/tex]
[tex]x=0[/tex]
Evaluatinf g(x) at this value of x we have:
[tex]g(0)=(x)^{2}+1[/tex]
[tex]g(0)=1[/tex]
Then, the minimum point of this function is (0,1) and it corresponds to (C)
47)
Let's use the same method here.
[tex]g(x)=f(x)+2[/tex]
[tex]g(x)=(x-2)^{2}+1+2[/tex]
[tex]g(x)=(x-2)^{2}+3[/tex]
Let's find the first derivative and equal to zero to find x and y minimum value.
[tex]g'(x)=2(x-2)[/tex]
[tex]0=2(x-2)[/tex]
[tex]x=2[/tex]
Evaluatinf g(x) at this value of x we have:
[tex]g(2)=(2-2)^{2}+3[/tex]
[tex]g(2)=3[/tex]
Then, the minimum point of this function is (2,3) and it corresponds to (B)
48)
Let's use the same method here.
[tex]g(x)=f(x)-3[/tex]
[tex]g(x)=(x-2)^{2}+1-3[/tex]
[tex]g(x)=(x-2)^{2}-2[/tex]
Let's find the first derivative and equal to zero to find x and y minimum value.
[tex]g'(x)=2(x-2)[/tex]
[tex]0=2(x-2)[/tex]
[tex]x=2[/tex]
Evaluatinf g(x) at this value of x we have:
[tex]g(2)=(2-2)^{2}-2[/tex]
[tex]g(2)=-2[/tex]
Then, the minimum point of this function is (2,-2) and it corresponds to (D)
I hope it helps you!
The second term in a geometric sequence is 12. The fourth term in the same sequence is 4/3 what is the common ratio in this sequence
Answer:
The common ratio in this sequence is 6:2 or 4:3
Step-by-step explanation:
hopes this heklps
The blue shaded area of the graph described what about this function shown in the picture?
Answer:
the answer is c. constant interval
(5,-6) and (2,-6) find the distance between each pair points in units
Answer:
The distance between the points is 3.
Step-by-step explanation:
Hope it helps ;)
Jacqueline drove 72 km on 6 L of gasoline. Which of the following equations can be used to find how far she can travel on a full tank of 50 L?
Answer:
600 km
Step-by-step explanation:
72 (km on 6 L of gasoline) / 6 (liters of gasoline) = 12 (km per liter)
50 (liters of gasoline) * 12 (km per liter) = 600 (km that Jacqueline can drive using 50L of gasoline)
I hope this helps :)
Answer:
600
Step-by-step explanation:
took the test
Solve for n. 24 = 3(n-5)
Answer:
Step-by-step explanation:
Given
24 = 3(n - 5)
24/3 = n - 5
n- 5 = 8
n = 8+5
n = 13
hope it helps :)
Answer:
n = 13
Step-by-step explanation:
8=n-5
-n=-5-8
-n=-13
n=13
which monomial represents the number of square units in the area of a circle with radius 4x^3 units
Answer:
For a circle of radius R, the area is written as:
A = pi*R^2
Where pi = 3.14
Then if the radius of the circle is R = 4*x^3
The area of this circle will be:
A = 3.14*(4*x^3)^2 = 3.14*(4)^2*(x^3)^2
Here you need to remember that:
(a^n)^m = a^(n*m)
Then the area of the circle is:
A = 3.14*(16)*(x^(3*2) = 3.14*16*x^6 = 50.24*x^6
So the monomial that represents the number of square units in the area of the circle is:
A(x) = 50.24*x^6
If sin(2)=cos(+30°), what is the value of ?A. 20° B. 30° C. 50° D. 110°
Answer:
ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo9
Step-by-step explanation:
jk its c
Find the amount of time. I = $54, P = $800, r= 4.5% The amount of time is years.
Answer:
1.5 years
Step-by-step explanation:
I = prt
54 = 800(.045)t
54 = 36t
t = 54/36
t = 1.55
Answer:
The amount of time is 1.5 years
Round 1231.50432 to the nearest tenth
Answer:
1231.5
Step-by-step explanation:
I hope this help.
An employee at a store makes $6 an hour. If she has made $237.38 in a week, how
many hours, did she work that week? Write an equation showing how to solve for how
many hours she worked using "h"as the variable.
Answer:40 hours
Step-by-step explanation:divide 237.36 by 6 and you will get 39.5633
so basically what you're going to do is round it up and your answer will be 40
can't quite figure out the limit problem
Use the squeeze theorem; if
1 - x ²/4 ≤ u(x) ≤ 1 + x ²/2,
then taking the limit on each part as x approaches 0 gives
1 ≤ lim [x → 0] u(x) ≤ 1
and so the limit of u(x) as x → 0 is simply 1.
Stephanie is looking at apartments with 2 of her friends. They want the monthly rent to be no more than $3,999. If the
roommates split the rent evenly among the 3 of them, what is the maximum rent each will pay?
Answer:
The maximum rent each will pay is $1,333.
Step-by-step explanation:
They want the monthly rent to be no more than $3,999.
It will be split evenly between all of them, with each contributing with x.
This means that the maximum rent each will pay is given by:
[tex]3x = 3999[/tex]
[tex]x = \frac{3999}{3}[/tex]
[tex]x = 1333[/tex]
The maximum rent each will pay is $1,333.
What is the answer to -4(m+6) = -8
Answer:
m= -4
Step-by-step explanation:
Answer:
-32
Step-by-step explanation:
4(+6)=−8
4+24=−8
4+24=−8
4+24−24=−8−24
Subtract the numbers
4m = -32
Negative nine minus negative ten?
Answer:
-9 - 10 = -19
Step-by-step explanation:
If both numbers are a negative, then add them together but keep the negative or minus sign
Hope this Helps!!!
An equilateral triangle has a side length of 10 units. What is its area?
Answer:
Hope my ans help you plz if u can mark me brainlist
Step-by-step explanation:
A = 43.3
The area of an equilateral triangle has a side length of 10 units is 43.3 square units.
What is an equilateral triangle?An equilateral triangle is one with equally long sides on both sides. The three angles opposite the three equal sides are equal in size because the three sides are equal. As a result, with each angle measuring 60 degrees, it is sometimes referred to as an equiangular triangle.
Given the side of an equilateral triangle = 10 units
the area is given by,
A = √3/4 × a²
where a is the length of the side,
A = √3/4 × 10²
A = 1.732 x 100/4
A = 43.3 square units.
Therefore, the area of a triangle is 43.3 square units.
Learn more about equilateral triangle;
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ill mark brainlist plss help
it is oxygen no doubt about it
The function .... is symmetric with respect to what ?
Answer:
Reflection symmetry, lines of symmetry, mirror symmetry, mirror-image symmetry, are symmetry with respect to reflection. That is, a figure that does not change after undergoing reflection has re-symmetry
P= $16,000, r= 10%, t= 180 days
Assume 360 days in a year.
which function represents the following graph.
Answer:
Option 3
Step-by-step explanation:
[tex]\left(x+3\right)^{\frac{1}{3}}+3[/tex]
Answer:
option 4 on edg
Step-by-step explanation:
y=3(x+3) +3
Help please please!!!!!
Answer:
x=28
Step-by-step explanation:
Look at attached image.
the speed of the current in a creek is 2 mph. A person can kayak 4 mi upstream in the same time that it takes him to kayak 8 mi downstream. What is the speed of the persons kayak in still water?
Answer:
I think 6 mph
Step-by-step explanation:
I needore characters so ingnor this sentence.
1. What is 35% of 200?
Answer:
70 is 35% of 200
Step-by-step explanation:
Your welcome
Answer:
70 is 35 % of 200
Step-by-step explanation:
.35 × 200 = 70
Fewer than 50 people bought tickets
it doesn't make sense kay
Solve the inequality