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borishaifa [10]
3 years ago
6

35. A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10 workers on the graveyard sh

ift. 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
Mathematics
1 answer:
den301095 [7]3 years ago
3 0

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:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

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.

C_{20,6} = \frac{20!}{6!(20-6)!} = 38760

38760 selections result in all 6 workers coming from the day shift.

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Lola rode her bike for 7/10 of an hour on Saturday and 3/5 of an hour on sunday. How much longer did she rider her bike on Satur
victus00 [196]

Answer:

1/10 of an hour.

Step-by-step explanation:

Lola rode her bike for 7/10 of an hour on Saturday.

She rode for 3/5 of an hour on Sunday.

On Saturday she rode \frac{7}{10} - \frac{3}{5} = 1/10 of an hour more.

5 0
3 years ago
PLS HELP ASAP find the measure of side b. round to the nearest whole number
ludmilkaskok [199]

Answer:

b=204

Step-by-step explanation:

The law of sine states that: \frac{SinA}{a} =\frac{SinB}{b} =\frac{SinC}{c}

We know that a triangle has 180° total, so we can subtract the two angle measures we know to find the third angle: 180-90-41=49°.

Using these two things, we can come up with the equality \frac{Sin90^{o} }{270} =\frac{Sin49^o}{b}, which we can use to solve for side b.

\frac{Sin90^o}{270} =\frac{1}{270}, so we know that \frac{1}{270} =\frac{Sin49^o}{b}.

Next, we would multiply both sides by b to get \frac{1}{270}b=Sin49^o.

Sin49°≈0.75471, so to find b we would multiply 0.75471×270=203.77

Since the problem asks us to round to the nearest whole number, b=204

Hope this helps! :)

3 0
2 years ago
The sum of all prime factors of<br>of<br>x is<br>20. Find the value​
OLga [1]

Answer:

no clue

Step-by-step explanation:

but good luck i belive in yoyu

3 0
3 years ago
A graph...................
Ipatiy [6.2K]
My answer:
I’m pretty sure it’s A. Correct me if I’m wrong
6 0
3 years ago
Please answer this correctly
ella [17]

Answer:

1 mi and 1622 yd

Step-by-step explanation:

1760 yd=1 mi

so

1542yd+80yd=1622yd ----> not a yard

1622yd+1mi= 1mi and 1622 yd

5 0
3 years ago
Read 2 more answers
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