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natali 33 [55]
3 years ago
5

At the start of the month, Jodie had sold 885 copies of her new book. At the end of the month, she had sold 1,364 copies of her

book. If each book profits $13.97, approximately how much did the book profit in the entire month?
Mathematics
1 answer:
ozzi3 years ago
5 0

Approximately $ 31419 profit is earned from selling books in entire month

<em><u>Solution:</u></em>

Given that Jodie had sold 885 copies of her new book

At the end of the month, she had sold 1,364 copies of her book

We have to determine the profit earned in the entire month

From given information,

Start of month sale = 885 copies

End of month sale = 1364 copies

Total copies of books sold = Start of month sold + end of month sold

Total copies of books sold = 885 + 1364 = 2249

Also given that each book profit is $ 13.97

Profit of 1 book = $ 13.97

<em><u>Therefore for 2249 books, profit earned is given as:</u></em>

Profit of 2249 books = $ 13.97 x 2249 = 31418.53

Therefore approximately $ 31419 profit is earned from selling books in entire month

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aleksley [76]

The probability of accepting this shipment is 98%.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here, we have

Almost all such shipments will be accepted because the probability of having a sample with more than 3 defective batteries is very low.

The shipment will be accepted if at most 3 batteries don't meet specifications.

This can be modeled as a binomial distribution, where the sample size is n=55 and the probability of not meeting the specifications of any battery is p=0.02.

The shipment will be accepted if D ≤ 3.

The probability of this event is:

P( D ≤ 3) = P(D=0) + P(D=1) + P(D=2) + P(D=3)

P(D=X) = n!/(x!(n-x)!) pˣ(1-p)ⁿ⁻ˣ

P(D=0) = 55!/(0!(55-0)!) 0.02⁰(1-0.02)⁵⁵⁻⁰ = 1× 1 × 0.32 = 0.32

P(D=1) = 55!/(1!(55-1)!) 0.02¹(1-0.02)⁵⁴ = 54 × 0.02 × 0.33= 0.35

P(D=2) = 55!/(2!(55-2)!) 0.02²(1-0.02)⁵³ = 55 ×27 × 0.0004 × 0.34= 0.20

P(D=3) = 55!/(3!(55-3)!) 0.02³(1-0.02)⁵² = 25740× 0.0000008 × 0.35= 0.07

Then,

P( D ≤ 3) = P(D=0) + P(D=1) + P(D=2) + P(D=3)

P( D ≤ 3) = 0.32 + 0.35 + 0.20 + 0.07

P( D ≤ 3) = 0.98

Hence, the probability of accepting this shipment is 98%.

To learn more about the probability from the given link

brainly.com/question/24756209

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4 0
1 year ago
Sam bought a new skateboard. The sales tax rate is 6%. The equation to find the total cost is where c is the cost of the skatebo
sp2606 [1]
The independent variable is the cost of the skateboard, c.

The dependent variable would be the total cost, t.

The best way to understand this is that the cost of the skateboard from the company is not going to change based on a sales tax rate., But the overall total cost could change depending on what the sales tax rates are.

The total cost would be dependent upon the sales tax rate.
7 0
3 years ago
A 48 inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece
Y_Kistochka [10]

Complete question :

A 48 inch board in to be cut into three pieces so that the second piece is twice as long as the first, and the third piece in 3 times as long as the first. If x represents the length of the first, find the lengths of all three

Answer:

Length of first piece = x = 8

Length of second = 2x = 8*2 = 16

Length of third = 3x = 8 * 3 = 24

Step-by-step explanation:

Let :

Length of first piece = x

Length of second = 2x

Length of third = 3x

The total lengtb of board = 48 inches

Hence,

First + second + third = 48

x + 2x + 3x = 48

6x = 48

x = 48 / 6

x = 8

Length of first piece = x = 8

Length of second = 2x = 8*2 = 16

Length of third = 3x = 8 * 3 = 24

6 0
3 years ago
6(5+3) ÷ 2 in this equation how do I handle the 6? send help
Leya [2.2K]
First you have to solve the equation inside the parentheses. (5 + 3) = 8. Then you multiply,
6 • 8 = 48. After that just divide 48 by 2 and the answer is 24. Hope this helped.
4 0
3 years ago
Read 2 more answers
Determine the number of pounds of nuts selling for $6 per pound and raisins selling for $3 per pound
Luda [366]
For the mix you need 60 Ib of nuts and raisins, and 60 lb of mix will sell for $300.
Let <em>x</em> be the weight of nuts and <em>y</em> the weight of raisins needed for the mix.
Total weight = <em>x</em>+<em>y</em> = 60, so <em>y</em> = 60 - <em>x</em>
Total value = 6<em>x</em> + 3<em>y</em> = 300.  From the above, we can substitute the <em>y</em> for 60 - x:
Total value = 6<em>x</em> + 3(60 - <em>x</em>) = 300, which we can simplify to:
6<em>x</em> + 180 - 3<em>x</em> = 300, and simplify again to:
3<em>x</em> = 120, and again to:
<em>x</em> = 40.  We can now calculate<em> y</em> from the first equation y = 60 - <em>x</em>, so:
y = 20.
40 lb of nuts and 20 lb of raisins.  Check:
40 lb x $6/lb = $240, and 20 lb x $3/lb = $60, $240 + $60 = $300.



7 0
3 years ago
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