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yanalaym [24]
3 years ago
8

Find the surface area of the following prism.

Mathematics
1 answer:
kvasek [131]3 years ago
7 0

Answer:

4224

Step-by-step explanation:

SA=(24×16:2×2)+(20×2×60)+(24×60)

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Raymond developed an app for smartphones. During the first week, he had 7,040 downloads from girls and 3 times as many downloads
myrzilka [38]

Answer:

<u>The correct calculation is D. 7,040 × 3, then 21,120 ÷ 8 </u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Number of downloads from girls = 7,040

Number of downloads from boys = 3 times as many

Number of boys who downloaded and paid the full version = 1 out of 8

2. Which calculation yields the number of boys who bought the full version of the app?

Number of downloads from boys = 3 * 7,040

Number of downloads from boys = 21,120

Number of boys who downloaded and paid the full version = 21,120/8 = 2,640

<u>The correct calculation is D. 7,040 × 3, then 21,120 ÷ 8 </u>

8 0
3 years ago
A survey finds customers are charged incorrectly for an item 20​% of the time. Suppose a customer purchases 14 items. Find the p
WITCHER [35]

Answer:

55.2% probability that the customer is charged incorrectly on at least 3 items.

Step-by-step explanation:

For each item, there are only two possible outcomes. Either it is charged incorrectly, or it is not. The probability of an item being charged incorrectly is independent from other items. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A survey finds customers are charged incorrectly for an item 20​% of the time.

This means that p = 0.2

Find the probability that the customer is charged incorrectly on at least 3 items.

Either the customer is charged incorrectly on 2 or less items, or he is charged on at least 3. The sum of the probabilities of these events is 1.

So

P(X < 3) + P(X \geq 3) = 1

We want P(X \geq 3)

So

P(X \geq 3) = 1 - P(X < 3)

In which

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{14,0}.(0.2)^{0}.(0.8)^{14} = 0.0440

P(X = 1) = C_{14,1}.(0.2)^{1}.(0.8)^{13} = 0.1539

P(X = 2) = C_{14,2}.(0.2)^{2}.(0.8)^{12} = 0.2501

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0440 + 0.1539 + 0.2501 = 0.448

P(X \geq 3) = 1 - P(X < 3) = 1 - 0.448 = 0.552

55.2% probability that the customer is charged incorrectly on at least 3 items.

6 0
3 years ago
Which undefined geometric term can be described as a one-dimensional set of points that has no beginning or end?
fredd [130]
A line, an infinite number of points compose a line, an infinite number of lines compose a plane, and so on...
5 0
3 years ago
Y = -3x+ 5<br> y = x - 3<br> (-2,-4)<br> (2,-1)<br> an infinite number of solutions
Leno4ka [110]
Your answer is (2,-1)
3 0
3 years ago
Read 2 more answers
A rectangular prism has a volume of 600 cubic inches.
choli [55]

Answer:

The length is 12 inches.

Step-by-step explanation:

The volume of a rectangular prism is given by:

V=LBH

It was given that; the rectangular prism has a volume of 600 cubic inches.

The height of the prism is 5 inches and the width is 10 inches.

We want to find the length of the rectangular prism.

We substitute V=600, H=5,and W=10 into the formula:

600=5×10×L

600=20L

L =  \frac{600}{50}

L = 12in

6 0
3 years ago
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