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GrogVix [38]
3 years ago
12

How to set up a ratio

Mathematics
1 answer:
Sedbober [7]3 years ago
4 0
5:2 means 5 to 2 Here is an example:


5 spoons of red paint are put in the bucket for every 2 spoons of white paint. You can do ratios in fraction form, word form, or ratio form.
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Vocabulary Which of the following describes the median of a data set?
Allushta [10]

Answer:

C is the answer

Step-by-step explanation:

5 0
3 years ago
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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
Help<br> thanks!!!!!!!!!!!!!!!!!!!!!!!!!
harkovskaia [24]
The answer is A because that information they gave to you
6 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!
Kipish [7]

The system of inequalities for the specific graph is

1. (one on top) y ≤ 1/2x + 6

2. (one on bottom) y > 1/2x -2

Hope this helped! :D

4 0
3 years ago
How does 0.008 compare to 0.08
Aleonysh [2.5K]
0.008 would equal to 8/1000 while 0.08 would be 8/10. That would mean 0.008 is much smaller than 8/10. You use the idea of base 10.
8 0
3 years ago
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