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Julli [10]
3 years ago
7

A shipment to a warehouse consists of 3,500 MP3 players. The manager chooses a random sample of 50 MP3 players and finds that 3

are defective. How many MP3 players in the shipment are likely to be defective?
Mathematics
1 answer:
marin [14]3 years ago
5 0

Answer:

210

Step-by-step explanation:

Given: Number of MP3 Players in a shipment = 3,500

Number of defective MP3 Players in a random sample of 50 MP3 players = 3

To find: Number of defective MP3 Players out of 3,500 MP3 players

Solution:

Number of defective MP3 Players in a random sample of 50 MP3 players = 3

Number of defective MP3 Players in a random sample of 3,500 MP3 players =\frac{3}{50}\times 3500=210

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The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 7 units,
Ierofanga [76]

Answer:

k = 7

Step-by-step explanation:

Vertical shift down by 7units, f(x) - 7

g(x) = (0.5)x - 7

g(x) = (0.5)x - k

Comparing both equations, k = 7

4 0
2 years ago
The length of a rectangle is 5 inches more than its width, x. The area of a rectangle can be represented by the equation x 2 + 5
Arada [10]

Answer:

Width = 15 inches             Length = 20 inches

Step-by-step explanation:

The area of a rectangle is calculated using the following formula.

A = Lx   (1)

Where L is the length and x is the width of the rectangle

In this case we know that the length of the rectangle is 5 inches greater than its width. This means that:

L = x + 5   (2)

Also The area of a rectangle can be represented by the equation x^2 + 5x = 300

so to find the width x we solve the equation

x^2 + 5x -300=0   (3)

For an equation of the form ax ^ 2 + bx + c = 0 the quadratic formula is:

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case note that:

a=1\\b=5\\c=-300

Then:

x=\frac{-5\±\sqrt{(5)^2-4(1)(-300)}}{2(1)}

x=\frac{-5\±\sqrt{25+1200}}{2}

x=\frac{-5\±\sqrt{1225}}{2}

x=\frac{-5\±35}{2}

x_1=\frac{-5+35}{2}  →  x_1=15

x_2=\frac{-5-35}{2}  →   x_2=-20

We take the positive solution x=15\ in

Now we use equation (2) to find L

L = x + 5

L = 15 + 5

L = 20\ in

8 0
3 years ago
Jessica has thirty-one books in her library. She bought several books at a
Shtirlitz [24]

Answer: She bought 68 books.

Step-by-step explanation:

Subtract 31 from 99 to find the difference! The difference tells us how many books she bought at the yard sale.

8 0
2 years ago
Helppp!!!!laura is playing a card game with her friend.she will draw two cards from those pictured.
puteri [66]

Answer:

10

30%

Step-by-step explanation:

In this case it would be the combination of 2 taken from 5.

That is, when n = 5 and r = 2

nCr = n! / r! * (n-r)!

replacing

5C2 = 5! / (2! * 3!)

5C2 = 10

Which means that the sample space is 10 possible combinations.

the probability that the card you draw is even is 3/5, since there are 3 even cards that exist and 5 is the total number of cards.

Now, so that both are for it would be the multiplication of the previous probability and 2/4 because an even card and a card in general have already been drawn:

(3/5) * (2/4) = 0.3

So the probability that both are even is 30%

5 0
3 years ago
8b+4 - 4b + 2<br><br>I need this answer asap​
spin [16.1K]
The answer should be 2(2b+3)
6 0
3 years ago
Read 2 more answers
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