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3 years ago

6

1.19082852E14 to number

1 answer:

cricket20 [7]3 years ago

5 0

Answer:

119,082,850,000,000

Step-by-step explanation:

1.1908285E14

E14 means the decimal point should be moved 14 places to the right:

119082850000000.00

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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

Is this true the product of 3/5 + 4 is less than 3/5

galben [10]

No this is not true because 3/5 + 4 equals 4.6 and 3/5 is 0.6

7 0

3 years ago

Neelam is pouring sand into a clear box to make sand art. The box is a right rectangular prism, and the base of the box is 7 in.

Marrrta [24]

Answer:20 2/4

Step-by-step explanation:

7 0

2 years ago

45% into a fraction simplest form

Aliun [14]

9/20

45% is 0.45. To switch into a fraction you do 45 over 100, simplified is 9/20.

5 0

2 years ago

What is the answer<br> −2=6/7p

Shtirlitz [24]

Isolate the p. Note the equal sign. What you do to one side, you do to the other. Multiply 7/6 to both sides

(-2)(7/6) = (6/7)(7/6)p

p = (-2)(7/6)

Multiply -2 and 7, then divide by 6

p = (-2 x 7)/6

p = -14/6

Divide

p = ~-2.33 (rounded)

-2.33 is your answer

hope this helps

5 0

3 years ago

Read 2 more answers