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Lyrx [107]
3 years ago
10

What number has the same value as 14 tens?

Mathematics
2 answers:
Dovator [93]3 years ago
5 0
140 because 14 ten times is 140 and thats the same value as 14 tens
hram777 [196]3 years ago
5 0
140 is the same as 14 tens
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A large serving of soup from a take-out restaurant is 4/5 liter. The restaurant has 3 liters of soup. The diagram below models t
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Answer:

The quantity of total serving soup does restaurant has = T = 2 \dfrac{2}{5} liters .

Step-by-step explanation:

Given as :

The quantity of large serving soup = \dfrac{4}{5}  liters

The total quantity of soup does restaurant has = 3 liters

Let the quantity of total serving soup does restaurant has = T liters

So, According to question

The quantity of total serving soup does restaurant has = The quantity of large serving soup × total quantity of soup does restaurant has

Or, T =  \dfrac{4}{5} × 3

Or, T =  \frac{4\times 3}{5}

Or, T =  \dfrac{12}{5}

∴   T = 2 \dfrac{2}{5} liters

So, quantity of total serving soup does restaurant has = T = 2 \dfrac{2}{5} liters

Hence,The quantity of total serving soup does restaurant has = T = 2 \dfrac{2}{5} liters . Answer

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3 years ago
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

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