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Scilla [17]
3 years ago
12

What number must be added to 15 -6 and 12 to have a mean of five

Mathematics
1 answer:
zimovet [89]3 years ago
8 0

-1 must be added.

15+(-6)+12=21. If you add one more number, then you would have to divide the sum by 4 to get the mean. 5*4=20. To get to 20, you have to add -1.

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Which is the best estimate of the product of the fractions? StartFraction 4 Over 7 EndFraction times StartFraction 8 Over 9 EndF
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Answer:

Product = \dfrac{64}{135}

Step-by-step explanation:

The expression is as follows :

\dfrac{4}{7}\times \dfrac{8}{9}\times \dfrac{14}{15}

We need to find the product of the above expression

As 7 × 2 = 14

So, it will become :

4\times \dfrac{8}{9}\times \dfrac{2}{15}\\\\=\dfrac{4\times 8\times 2}{9\times 15}\\\\=\dfrac{64}{135}

So, the product of the given fractions is \dfrac{64}{135}.

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What is 442.1 × 11 =​
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Step-by-step explanation:

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3 years ago
Lindsey is considering purchasing an item that costs $860 and has a discount of 15 % . What is the amount of discount on
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Answer:

$129

Step-by-step explanation:

We need to find 15% of $860.

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= 15% * $860

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= $129

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3 years ago
Matt earns $5 for each lawn he does. He wants to earn at least $100. Which inequality represents his situation?
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$100 is less than or equal to x

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Read 2 more answers
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
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