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2 years ago

© Sammy charges $21.75 for 3

Mathematics

2 answers:

abruzzese [7]2 years ago

5 0

Answer:

Sammy charges less by $3.75

Step-by-step explanation:

givens

-Sammy: 21.75 for 3 hrs

-y=8x for Claire

-5 hours, and who charges less?

21.75/3

$7.25/hr

y=8(5)

y=$40

y=7.25(5)

y=$36.25

40-36.25

$3.75

quester [9]2 years ago

4 0

Sammy charges less by 3.75

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Rearrange x=3g+2 to make g the subject

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Answer:

g = (x - 2)/3

Step-by-step explanation:

g = (x - 2)/3

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A company that is selling computer tablets has determined that it regularly makes a net profit of $180 for each computer tablet

Gekata [30.6K]

Answer:

Considering the prediction of people who will fill out the form and receive the refund, the company should expect its net profit to drop to:

$174.6 per computer tablet.

Step-by-step explanation:

The benefit per tablet before the rebate program is $180 per computer tablet, however, once the rebate program is implemented, 18% of people who purchase their computer tablet are expected to complete the form and obtain the VISA card, which would reduce the benefit as shown below:

18% benefit from computer tablets = original benefit - refund value.
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With this we identify that 18% of computer tablets will have a benefit reduced to $150, however, as the remaining percentage of tablets (82%) will still have the benefit of $180, the general benefit must be calculated to have a single value, as it's shown in the following:

Overall benefit = Percentage of tablets with reimbursement * Benefit of tablets with reimbursement + Percentage of tablets without reimbursement * Benefit of tablets without reimbursement.
General profit = 18% * 150 + 82% * 180
General profit = $ 174.6

By having a $ 30 rebate on 18% of the tablets, the overall benefit drops to $174.6.

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2 years ago

A. The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

erastovalidia [21]

Answer:

The average yearly salary of the architect is $62,000 and the lawyer is $100,000.

Step-by-step explanation:

Given:

The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

Combined, an architect and a lawyer earn $ 210 thousand.

Now, to find the average yearly salary of an architect and a lawyer.

Let the average yearly salary of an architect be $x.$

So, the average yearly salary of the lawyer = $2x-24,000.$

Combined, architect and lawyer earn = $\$210,000.$

Now, to get the average salary of the architect and lawyer:

$x+(2x-24000)=210000$

$x+2x-24000=210000\\\\3x-24000=210000$

Adding both sides 24000 we get:

$3x=186,000\\\\Dividing\ both\ sides\ by\ 3\ we\ get:\\\\x=62000.$

The average salary of architect = $62,000.

Now, to get the average salary of lawyer by substituting the value of $x$ :

$2x-24000\\\\=2(62000)-24000\\\\=124000-24000\\\\=\$100,000.$

The average salary of lawyer = $100,000.

Therefore, the average yearly salary of the architect is $62,000 and the lawyer is $100,000.

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2 years ago

Let X represent the amount of time until the next student will arrive in the library parking lot at the university. If we know t

Ber [7]

Answer:

The probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.

Step-by-step explanation:

The random variable X is defined as the amount of time until the next student will arrive in the library parking lot at the university.

The random variable X follows an Exponential distribution with mean, μ = 4 minutes.

The probability density function of X is:

$f_{X}(x)=\lambda e^{\lambda x};\ x\geq 0, \lambda >0$

The parameter of the exponential distribution is:

$\lambda=\frac{1}{\mu}=\frac{1}{4}=0.25$

Compute the value of P (X > 10) as follows:

$P(X>10)=\int\limits^{\infty}_{10}{0.25e^{-0.25x}}\, dx$

$=0.25\times \int\limits^{\infty}_{10}{e^{-0.25x}}\, dx\\=0.25\times |\frac{e^{0.25x}}{-0.25}|^{\infty}_{10}\\=(e^{-0.25\times \infty})-(e^{-0.25\times 10})\\=0.0821$

Thus, the probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.

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2 years ago

There are seven boys and five girls in a class. The teacher randomly selects three different students to answer questions. The f

Aleks [24]

The probability of picking one girl would be $\frac{5}{12}$ . That is because there are 5 girls out of the 12 students, and the probability of an event occuring is: $\frac{\text{# of things you want}}{\text{# of things are possible}}$ .

Using that same logic, the next student should be easier. We reduced the student population by 1, so we have 11 possible ways it can happen now instead of 12, so that gives us: $\frac{7}{11}$ , for the probability of picking a boy as the second pick.

And lastly, using the same logic shown above, the probability of picking a girl on the third pick would be: $\frac{4}{10}$ .

We are not done, though. We have the separate probabilities, but now we have to multiply then together to figure out the probability of this exact event happening:

$\frac{5}{12}*\frac{7}{11}*\frac{4}{10}=\frac{140}{1320}$

Which when reduced is:

$\frac{7}{66}$

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2 years ago

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