35. A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10 workers on the graveyard shift. A quality control consultant is to select 6 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 6 workers has the same chance of being selected as does any other group (drawing 6 slips without replacement from among 45). a. How many selections result in all 6 workers coming from the day shift

Answers

Answer 1

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.


Related Questions

(ab)(6a^5b)(-ab) simplified please

Answers

Answer:

25b3a+93b+60a=30a2+b2

Step-by-step explanation:

Working together, two copy machines can finish a copy job in 3 minutes. The slower copier can finish the job in 12 minutes. How many minutes would it take for just the faster copier to finish the job?​

Answers

Answer:

4 minutes, because in 3 minutes, the slower copier has done 1/4 of the job (at a 12 minute pace ). That means that during the same 3 minutes, the faster copier did 3/4 of the job.

So the faster copier is on pace to complete the entire job in 4 minutes (3 X 4/3).

Step-by-step explanation:

PLEASE HELP THIS ASSIGNMENT IS OVER DUE

Answers

Answer:

Step-by-step explanation:

6x+3

simplified: 6x+3 (not sure if that’s what they’re asking but?)

natasha has a sales job and receieves $60,440 as her annual pay plus commission. her company pays her a commision of 12% on her total sales if she makes sales of $70,000 in the first 3 months how much will she be paid for those 3 months?

Answers

Answer:

$68,840

Step-by-step explanation:

70,000*12%=8,400

8440+64,440=$68,840

Bobby Hill is taking lady bird to the vet. The bill
is $72 dollars. Lady bird received 3 shots for
$12 each and had to take 2 pills for x amount
each. How much were each pill?
12 = 72 - 12
72 12x + 3x
72 = 36 + 2x
None of the above

Answers

Answer:

72= 36 + 2x

Step-by-step explanation:

1 shot= $12

  3 shots= $12×3= $36

$72-$36= $36

2 pills= $36

  1 pill= $36/2=$18

x= $18

72= 36 + (2×18)=

      36 + 36= 72

help me I do not know how to do is I do not have a lot of pontes so I will give 10 at is all I have

Answers

Answer:

c

Step-by-step explanation:

as far as I can see

Choose 3 values that would make this inequality true: 8 + y ≥ 11

ps help lol

Answers

Numbers 3,4,5 make this inequality true

8+3=11

8+4=12

8+5=13

At what rate per annum compound
interest will N4000 amount to N5353
in 5 years?​

Answers

Answer: Just look it up on goo gle

Step-by-step explanation:

The rate per annum compound interest is approximately 11.5%.

To find the rate per annum compound interest, we can use the formula for compound interest:

[tex]A = P(1 + r/n)^{nt}[/tex]

Where:

A = the final amount (N5353 in this case)

P = the principal amount (N4000 in this case)

r = the annual interest rate (what we want to find)

n = the number of times interest is compounded per year (assuming once per year)

t = the number of years (5 years in this case)

Now, we can plug in the values:

[tex]N5353 = N4000(1 + r/1)^{1*5}[/tex]

Divide both sides by N4000:

[tex]1.33825 = (1 + r)^5[/tex]

Now, isolate (1 + r) by taking the fifth root of both sides:

[tex]1 + r = (1.33825)^{1/3}\\1 + r \approx 1.115[/tex]

Now, subtract 1 from both sides to find the interest rate (r):

r ≈ 1.115 - 1

r ≈ 0.115

Finally, convert the interest rate to a percentage:

r ≈ 0.115 * 100

r ≈ 11.5%

To know more about rate:

https://brainly.com/question/32398403

#SPJ2


The prism shown has a volume of 35 cm^3
Work out h, the height of the triangular cross section.
Length =7 cm
Base=4 cm

Answers

Answer:

[tex]Height = 2.5[/tex]

Step-by-step explanation:

Given

[tex]Volume = 35[/tex]

[tex]Length =7[/tex]

[tex]Base=4 cm[/tex]

Required

Determine the height

The volume is calculated as:

[tex]Volume = Height * Base\ Area[/tex]

Since, it has a triangular cross-section, the expression becomes:

[tex]Volume = Height * \frac{1}{2} * Base * Length[/tex]

So, we have:

[tex]35 = Height * \frac{1}{2} * 4 * 7[/tex]

[tex]35 = Height * 14[/tex]

[tex]Height = 35/14[/tex]

[tex]Height = 2.5[/tex]

y=24-4x function table​

Answers

Answer:

here

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplify the expression by combining like terms:
-3m-8(m+1)

Answers

Answer: -11m-8

Step-by-step explanation: first you would distribute (m+1) into -8 causing it to be -3m-8m-8 you then combine like terms getting you -11m-8

Answer:

16m

Step-by-step explanation:

-3m -8 (m+1) any variable has 1.

-8  (-2m)

16m

Y - 5= - (5 - y)
Does it have a solution?

Answers

Answer:

infanite

Step-by-step explanation:

Find the value of x.
to
4
42°
60°
-

Answers

Answer:

Step-by-step explanation:

The missing angle of the triangle is 180°-42°-60° = 78°.

x° =  180°-78° = 102°

g(n) = 4n
f(n) = 4n + 2
Find g(f(n))

Answers

Answer:

16n + 8

Step-by-step explanation:

g(f(n)) = g(4n+2)

= 4(4n +2)

= 16n + 8

Help please !!! Thanks guys

Answers

Answer:
(b+4) and (b-1)
Explanation:
do a generic rectangle
b times b is b^2
b times 4 = 4b
-1 times b = -1b
-1 times 4 = -4
b^2+4b-1b-4
simplify
b^2+3b-4

Question number 1 Which measurement uses square units?

Answers

Answer:

i thought i already answered this but the answer is  area

Step-by-step explanation:

Can someone please help!!

Answers

Answer:

the second to last one!!!

Step-by-step explanation:

hope this helps

Construct a circle through points X, Y and Z.

Answers

pretty sure you just draw a circle
just draw a circle running through those points i think

-2x + 4 = 104
Please help

Answers

Answer:

x = -50

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x+4=104

Step 1: Subtract 4 from both sides.

−2x+4−4=104−4

−2x=100

Step 2: Divide both sides by -2.

−2x/-2  100/-2

=-50  

Please I need help it’s an emergency

Answers

Answer:

h = 79 m

Step-by-step explanation:

The length of the string, H = 125 m

The kite forms 39° angle.

We need to find the height of the kite. Let it is h. We can find it using trigonometry i.e.

[tex]\sin\theta=\dfrac{P}{H}[/tex]

Where

P is perpendicular and H is Hypotenuse

So,

[tex]\sin\theta=\dfrac{h}{H}\\\\h=H\times \sin\theta\\\\h=125\times \sin(39)\\\\h=78.66\ m[/tex]

or

h = 79 m

So, the kite is flying at a height of 79 m.

A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. Historical data indicates that 20% of all potential purchasers select a day visit, 50% choose a one-night visit, and 30% opt for a two-night visit. In addition, 10% of day visitors ultimately make a purchase, 30% of onenight visitors buy a unit, and 20% of those visiting for two nights decide to buy. Suppose a visitor is randomly selected and is found to have made a purchase. How likely is it that this person made a day visit? A one-night visit? A two-night visit?

Answers

Answer:

0.087 = 8.7% probability that this person made a day visit.

0.652 = 65.2% probability that this person made a one-night visit.

0.261 = 26.1% probability that this person made a two-night visit.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Made a purchase.

Probability of making a purchase:

10% of 20%(day visit)

30% of 50%(one night)

20% of 30%(two night).

So

[tex]p = 0.1*0.2 + 0.3*0.5 + 0.2*0.3 = 0.23[/tex]

How likely is it that this person made a day visit?

Here event B is a day visit.

10% of 20% is the percentage of purchases and day visit. So

[tex]P(A \cap B) = 0.1*0.2 = 0.02[/tex]

So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.23} = 0.087[/tex]

0.087 = 8.7% probability that this person made a day visit.

A one-night visit?

Event B is a one night visit.

The percentage of both(one night visit and purchase) is 30% of 50%. So

[tex]P(A \cap B) = 0.3*0.5 = 0.15[/tex]

So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.23} = 0.652[/tex]

0.652 = 65.2% probability that this person made a one-night visit.

A two-night visit?

Event B is a two night visit.

The percentage of both(two night visit and purchase) is 20% of 30%. So

[tex]P(A \cap B) = 0.2*0.3 = 0.06[/tex]

Then

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.23} = 0.261[/tex]

0.261 = 26.1% probability that this person made a two-night visit.

Eu Conversion w decal values.
A multivitamin tablet contains 18.5 mg of calcium. How much calcium does a bottle of 60 tablets contain?
Write your answer in grams.

Answers

Answer:

1.11g

Step-by-step explanation:

1 Table = 18.5 mg

60 Tablets = 60*18.5 = 1110 mg

1mg=0.001g

1110mg=1.11g

What is the percent of increase from 54 to 81?

Answers

The increase percentage is 50 percent because the new value is greater than the old value.

Answer:

50

A change from 54 to 81 represents a positive change (increase) of 50%

HELP! WILL GIVE BRANLIEST!

Answers

Answer:

u r correct

Step-by-step explanation:

what is 4 and half hours in minutes​

Answers

In minutes it’s 270

PLEASE HELP IF POSSIBLE, ASAP!!!!!!!! :)

Answers

The Sum of all 3 needs to equal 1

A. 1/9 + 1/2 + 1/3 = 17/18

B. 1/9 + 2/9 + 1/3 = 6/9 = 2/3

C. 1/6 + 3/9 + 1/3 = 3/18 + 6/18 + 6/18 = 15/18

D. 2/9 + 8/18 + 1/3 = 4/18 + 8/18 + 6/18 = 18/18 = 1

The answer is D

Raina drinks 0.65 L of milk every day. How much milk does she drink in 9 days?
Write your answer in milliliters.

Answers

Answer: 5850 milliliters

Step-by-step explanation:

First, you have to do 0.65L x 9 days = 5.85L

And then you have to convert it to milliliters so:

5.85L= 5850 milliliters

Round 456.5347 to 1. d.p

Answers

456.5
because the 2 d.p is lower than 5 you round down
The answer is 456.5
....................

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

18 grids for each side

have a nice day ^_^

Answer:

8.0 represents how many squares there are on one side but that will measure to be 4mm on each side. We need to make it 9mm on each side by making the processor bigger and adding 5mm.

½=0.5 and thats 1 square.

Expand each side by 10 and that'll make the processor 9mm.

Is x + 1/2 = x - 1/2 true or false

Answers

Answer:

I believe it is false

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