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nataly862011 [7]
3 years ago
6

A graphic company charges 560 per hour for the work of its most senior graphic artists, $50 per hour for the work of a productio

n designer, and $18 per hour for the work of a trainee. A recent project required 36 hours of work from a
senior artist, 11 hours from a production designer, and 50 hours from a trainee Write out a mathematical statement for calculating the total labor cost, and then compute this cost
Select the correct choice below and fill in the answer box to complete your choice
(Simplify your answer)
OA. 36 x 560 + 11 x 550 + 50 x 518 = 5
OB. $60-36 +550 - 11 + $18-50 = 5
OC 36x11x50 560 550 x 518 = 5
OD. (36 + 11 +50) x (560 + 550 +518) = $
Mathematics
1 answer:
Kruka [31]3 years ago
3 0
A: 36x560+11x550+50x518=5
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A distribution has a mean of 16 and a standard deviation of 6. What is the Z score that corresponds with 34?
Brrunno [24]

Answer:

Z = 3

Step-by-step explanation:

In a normal distribution, the Z score that corresponds with a data point x is calculated using the formula;

Z=\frac{x-mean}{standard deviation}

For the case given, the z score will be;

Z=\frac{34-16}{6}=3

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4 years ago
An article reports that 1 in 500 people carry the defective gene that causes inherited colon cancer. In a sample of 2000 individ
Tema [17]

Answer:

a) P=0.558

b) P=0.021

Step-by-step explanation:

We can model this random variable as a Poisson distribution with parameter λ=1/500*2000=4.

The approximate distribution of the number who carry this gene in a sample of 2000 individuals is:

P(x=k)=\frac{\lambda^ke^{-\lambda}}{k!} =\frac{4^ke^{-4}}{k!}

a) We can calculate that the approximate probability that between 4 and 9 (inclusive) as:

P(4\leq x\leq 9)=\sum_{k=4}^9P(k)\\\\\\ P(4)=4^{4} \cdot e^{-4}/4!=256*0.0183/24=0.195\\\\P(5)=4^{5} \cdot e^{-4}/5!=1024*0.0183/120=0.156\\\\P(6)=4^{6} \cdot e^{-4}/6!=4096*0.0183/720=0.104\\\\P(7)=4^{7} \cdot e^{-4}/7!=16384*0.0183/5040=0.06\\\\P(8)=4^{8} \cdot e^{-4}/8!=65536*0.0183/40320=0.03\\\\P(9)=4^{9} \cdot e^{-4}/9!=262144*0.0183/362880=0.013\\\\\\

P(4\leq x\leq 9)=\sum_{k=4}^9P(k)=0.195+0.156+0.104+0.060+0.030+0.013=0.558

b) The approximate probability that at least 9 carry the gene is:

P(x\geq9)=1-P(x\leq 8)\\\\\\

P(0)=4^{0} \cdot e^{-4}/0!=1*0.0183/1=0.018\\\\P(1)=4^{1} \cdot e^{-4}/1!=4*0.0183/1=0.073\\\\P(2)=4^{2} \cdot e^{-4}/2!=16*0.0183/2=0.147\\\\P(3)=4^{3} \cdot e^{-4}/3!=64*0.0183/6=0.195\\\\P(4)=4^{4} \cdot e^{-4}/4!=256*0.0183/24=0.195\\\\P(5)=4^{5} \cdot e^{-4}/5!=1024*0.0183/120=0.156\\\\P(6)=4^{6} \cdot e^{-4}/6!=4096*0.0183/720=0.104\\\\P(7)=4^{7} \cdot e^{-4}/7!=16384*0.0183/5040=0.06\\\\P(8)=4^{8} \cdot e^{-4}/8!=65536*0.0183/40320=0.03\\\\

P(x\geq9)=1-P(x\leq 8)\\\\P(x\geq9)=1-(0.018+0.073+0.147+0.195+0.195+0.156+0.104+0.060+0.030)\\\\P(x\geq9)=1-0.979=0.021

8 0
3 years ago
Cami goes scuba diving. She descends 18 feet in 3 minutes. Which expressions represent the average rate at which Cami’s position
julsineya [31]

Answer:

6 ft/min

Step-by-step explanation:

Theres a neat trick to note; whenever you say per think of it as a fancy word for divide, because the label is always gonna be a/b (a per b)

Therefore,

the rate of feet per minute will be the feet divided by the minutes;

18 feet in 3 minutes = <u>18</u>/3 <u>ft</u>/min

Therefore the rate is 6 feet per minute.

<u>IF you need an explanation on what average rate implies:</u>

<em>Note; the word average is not prudent to answer as its extraneous, however if there was more data like "Cami descends 18 ft in 3 min and Nami descends 9 ft in 3 minutes; whats the average rate at which they descend" then you'd have to add the two rates up and divide by two.</em>

Hope this helps :)

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3 years ago
A box contains $8.00 in nickels, dimes, and quarters. There are three times as many nickels as quarters, and the number of dimes
IgorLugansk [536]

Answer:

There are 12 quarters, 36 nickels and 32 dimes.

Step-by-step explanation:

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3 years ago
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