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Fantom [35]
3 years ago
15

Andre earns $165 for each digital projector that she sells if she works five days a week for 11 hours each day and sales 12 digi

tal projectors a week on average what is her average hourly wage
Mathematics
2 answers:
aksik [14]3 years ago
8 0
(165*12)/5*11 = AHW (average hourly wage)

1980/55 = AHW

36 = AHW

$36 is her average hourly wage.
defon3 years ago
4 0

Answer: Hi!

Andre earns $165 for each digital projector that she sells.

We know that she works 11 hours per day, 5 days per week and that she sells 12 digital projectors a week. We want to know the average hourly wage.

First, we need to know how much she wins in the week. This is the number of digital projectors sold multiplied by the profit for each one:

12*$165 = $1980

And now we need to see how the amount of hours that she works each week, this is 11 hours per day and 5 days per week, then she works 11*5 = 55 hours per week.

Now we can divide the earns per week by the number of hours that she works each week, and obtain the average hourly wage:

$1980/55 = $36

So Andre wins an average of $36 per hour.

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Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 33% of all homeowners are ins
Lina20 [59]

Answer:

(a) The probability mass function of <em>X</em> is:

P(X=x)={4\choose x}\ (0.33)^{x}\ (1-0.33)^{4-x};\ x=0,1,2,3...

(b) The most likely value for <em>X</em> is 1.32.

(c) The probability that at least two of the four selected have earthquake insurance is 0.4015.

Step-by-step explanation:

The random variable <em>X</em> is defined as the number among the four homeowners  who have earthquake insurance.

The probability that a homeowner has earthquake insurance is, <em>p</em> = 0.33.

The random sample of homeowners selected is, <em>n</em> = 4.

The event of a homeowner having an earthquake insurance is independent of the other three homeowners.

(a)

All the statements above clearly indicate that the random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 4 and <em>p</em> = 0.33.

The probability mass function of <em>X</em> is:

P(X=x)={4\choose x}\ (0.33)^{x}\ (1-0.33)^{4-x};\ x=0,1,2,3...

(b)

The most likely value of a random variable is the expected value.

The expected value of a Binomial random variable is:

E(X)=np

Compute the expected value of <em>X</em> as follows:

E(X)=np

         =4\times 0.33\\=1.32

Thus, the most likely value for <em>X</em> is 1.32.

(c)

Compute the probability that at least two of the four selected have earthquake insurance as follows:

P (X ≥ 2) = 1 - P (X < 2)

              = 1 - P (X = 0) - P (X = 1)

              =1-{4\choose 0}\ (0.33)^{0}\ (1-0.33)^{4-0}-{4\choose 1}\ (0.33)^{1}\ (1-0.33)^{4-1}\\\\=1-0.20151121-0.39700716\\\\=0.40148163\\\\\approx 0.4015

Thus, the probability that at least two of the four selected have earthquake insurance is 0.4015.

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3 years ago
I need help evaluating
Alika [10]
I’m guessing 27 4? I’m not sure
7 0
3 years ago
Study the given data set. {77,4,62,10,45,9,38,80,2}. What is the standard deviation of the data?
vladimir1956 [14]

Answer:

29.7 is the standard deviation :)

4 0
3 years ago
Question 29 of 40<br> Find f(-2) for f(x) = 5.3*.
blsea [12.9K]

Answer:

A. \frac{5}{9}

Step-by-step explanation:

To find f(-2) in f(x)=5*3^x, plug in -2 into all the x values.

f(-2)=5*3^-2, you can use calculator to calculate 3^-2 which equals 0.1, forever 1's.

f(-2)=5*0.1=0.5  Forever 5's.

f(-2)=0.5 or \frac{5}{9}

Hope this helps!

If not, I am sorry.

4 0
2 years ago
4(1+ 2y) = 12y. Solve for y.​
Alja [10]

Answer:

y=1

Step-by-step explanation:

4(1+2y)=12y

4*1 + 4*2y=12y

4 + 8y=12y

4=12y - 8y

4=4y

4/4=y

1=y

8 0
3 years ago
Read 2 more answers
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