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4 years ago

An employee earns a 25% commission rate on his sales. One day, he earned $175.

Mathematics

2 answers:

Anettt [7]4 years ago

7 0

If he earned $175 from his commission that’s means he had to have sold a total of $700 since 25% is 1/4 of 100%.

Papessa [141]4 years ago

6 0

If he gets 25% of his sales, and he makes $175, that means $175 is it 25% of his sales.

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Let

Digiron [165]

What I gather from the question is that $X$ has second moment $E(X^2)=81$ and variance $V(X) = 58$ , and you're asked to find the expectation and variance of the random variable $Y=2X+10$ .

From the given second moment and variance, we find the expectation of $X$ :

$V(X) = E(X^2) - E(X)^2 \implies E(X) = \sqrt{E(X^2) - V(X)} = \sqrt{23}$

Expectation is linear, so

$E(Y) = E(2X+10) = 2 E(X) + 10 = \boxed{2\sqrt{23} + 10}$

Using the same variance identity, we have

$V(Y) = V(2X+10) = E((2X+10)^2) - E(2X+10)^2$

and

$E((2X+10)^2) = E(4X^2 + 40X + 100) = 4E(X^2) + 40E(X) + 100 = 424 + 40\sqrt{23}$

so that

$V(Y) = V(2X+10) = (424 + 40\sqrt{23}) - (2\sqrt{23} + 10)^2 = \boxed{232}$

Alternatively, we can use the identity

$V(aX+b) = a^2 V(X) \implies V(2X+10) = 4V(X) = 232$

5 0

2 years ago

Ainat [17]

Answer:

a or c Im not sure

Step-by-step explanation:

I think b though

7 0

3 years ago

Fredo has a coupon for $1.00 off the price of a loaf of bread at the grocery store.After he arrived at the store,he found out th

Pani-rosa [81]

Answer:

$3 discount

Step-by-step explanation:

If Fredo originally had the markdown as $0 (meaning no change), then he arrived at the store, seeing the markdown was $2, the current markdown is $2.

Now that he has an extra $1 off, he gets 2+1 = $3 off the bread.

Hope this helped!

3 0

3 years ago

Will mark brainliest if correct’

mixer [17]

Answer:

-1280

Step-by-step explanation:

Given a₁ = -10, n = 8, r =2

Required to find nᵗʰ term.

From the general formula: aₙ= a₁ (r)ⁿ⁻¹

Therefore nᵗʰ = -10(2)⁸⁻¹

= -10(2)⁷

= - 10(128)

= - 1280

7 0

3 years ago

When a customer wants pie for dessert, you cut whole pies into 7 equal slices. At the end of your shift, 3737 of a cherry pie, 2

matrenka [14]

the answer is 13/7 and here is the correct question

the answer is 13/7 and here is the correct questionwhen a customer wants pie for dessert you cut a whole pies into 7 equal slices...at the end of your shift 3/7 of. a cherry pie.2/7. of an apple pie.3/7 of a peach pie.and 5/7 of a blueberry pie remain...How much pie remains as a fraction of. a whole pie...

Answer:

13/7

Step-by-step explanation:

From the question, we have

3/7 of cherry pie

2/7 of apple pie

3/7 of peach pie

5/7 of blueberry pie

Now we have to add up all of these in order to get the total amount of pie

3/7 + 2/7 +3/7 +5/7

= (3+2+3+5)/7

=13/7

If expressed as a mixed fraction

= 1 6/7

In conclusion, 13/7 pie remains as a fraction of a whole.

4 0

3 years ago