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jonny [76]
3 years ago
12

An apprentice productively working a 40-hour week earns more wages and is worth considerably more to the local union and the ind

ustry than one who works only 30 hours per week. Consider two apprentices, A and B, working the same job at the same scale. Apprentice A works 40 hours and is paid $160.00 from which $4.80 is paid to the local union. Apprentice B only works 30 hours. How much will the local union receive in dues for the 30 hours work?
Mathematics
1 answer:
zvonat [6]3 years ago
4 0
$3.60

You can get this by determining that the rate of which they are paid is $4 an hour (divide the total by the amount of hours). Then you can find the rate of which they collect dues by dividing the amount they paid by their total (3%). 

Using those numbers you can find the total amount the second person paid. 
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An unbalanced die is manufactured so that there is a 20% chance of rolling a “six." The die is rolled 6
SIZIF [17.4K]

Answer:

Probability of rolling at least 4 sixes is 0.01696.

Step-by-step explanation:

We are given that an unbalanced die is manufactured so that there is a 20% chance of rolling a “six." The die is rolled 6  times.

The above situation can be represented through binomial distribution;

P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......

where, n = number trials (samples) taken = 6 trials

            r = number of success = at least 4

           p = probability of success which in our question is probability of

                 rolling a “six", i.e; p = 0.20

<u><em>Let X = Number of sixes on a die</em></u>

So, X ~ Binom(n = 6, p = 0.20)

Now, Probability of rolling at least 4 sixes is given by = P(X \geq 4)

P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6)

=  \binom{6}{4} \times 0.20^{4} \times (1-0.20)^{6-4}+\binom{6}{5} \times 0.20^{5} \times (1-0.20)^{6-5}+\binom{6}{6} \times 0.20^{6} \times (1-0.20)^{6-6}

=  15 \times 0.20^{4} \times 0.80^{2}+6 \times 0.20^{5} \times 0.80^{1}+1 \times 0.20^{6} \times 0.80^{0}

=  0.0154 + 0.00154 + 0.000064

=  0.01696

<em />

Therefore, probability of rolling at least 4 sixes is 0.01696.

8 0
3 years ago
Lindsey took out an 80/20 mortgage to buy a house costing $145,000. The
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Answer:

605.11

Step-by-step explanation:

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dimaraw [331]
Can you show us the triangular prism to help you
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Rational number 7/3 has terminating decimal
vfiekz [6]

Answer:

2.33

Step-by-step explanation:

Plug "7/3" in your calculator and round to the nearest hundredth (by finding the hundredth's place, looking at the digit before it, and moving the hundredth's place up one value if you deciphering that the digit before is greater/equal to 5). If you need a terminating decimal, you need to round. If you don't need it as a terminating decimal, add a ling over the last digit where the decimal begins to repeat.

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Answer:

the answer is the last one

Step-by-step explanation:

so the answer is d

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