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Airida [17]
3 years ago
5

300 is 10 times as much as what. please help me

Mathematics
2 answers:
Arlecino [84]3 years ago
7 0
300 is 10 times as much as 30.
because if you do 30 x 10 you get 300
Nonamiya [84]3 years ago
3 0
300 is 10 times as much as 30
hope this helps
~<em>Liesel</em>
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Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below cer
aleksley [76]

Answer:

a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used 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.

70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.

This means that p = 0.7

Five residential subscribers are randomly selected from San Juan, Puerto Rico

This means that n = 5

a. All five qualify for the favorable rate

This is P(X = 5). So

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

P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681

0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. At least four qualify for the favorable rates

This is

P(X \geq 4) = P(X = 4) + P(X = 5)

So

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

P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602

P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681

P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283

0.5283 = 52.83% probability that at least four qualify for the favorable rates

5 0
3 years ago
What element has 6 protons and 9 neutrons
insens350 [35]

Answer:

A carbon atom.

Step-by-step explanation:

All carbon atoms have 6 protons however the amount of neutrons can vary but doesnt change the element.

7 0
3 years ago
If you start your homework at 4:00 and finish at 4:20 what is a fraction showing the time you spent on the clock
Ivahew [28]
20min/1hr, I believe.
8 0
3 years ago
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Lancer watched 6 videos. Each video was 33.5 minutes long. How long did Perla spend watching videos? A.6 minutes B.27.5 minutes
Mumz [18]
201 minutes because 6 multiplied by 33.5 = 201 minutes

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3 years ago
A rectangle is 5 times as long as it is wide. The perimeter is 70 cm. Find the dimensions of the rectangle. Round to the nearest
Naddika [18.5K]

Let the width = X, then the length would be 5x ( 5 times as long as the width).

The perimeter is adding the 4 sides.

x + x + 5x + 5x = 70

Combine the like terms:

12x = 70

Divide both sides by 12:

x = 70/12

x = 5.83

The width = 5.83 cm.

The length = 5 x 5.83 = 29.15

Now round each length to the nearest tenth:

5.8 and 29.2 cm.

The answer is d.

3 0
3 years ago
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