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4 years ago

7

sharon arrange flowers in 5 jars for a party. she puts 4 carnations, 4 roses,and 2 daisies in each jar.how many flowers does sha

ron use?

1 answer:

saveliy_v [14]4 years ago

4 0

4 roses + 4 carnations + 2 daises = 10 total flowers in each jar.

5 jars x 10 flowers = 50 total flowers.

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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

Can someone help and show how this is done

blondinia [14]

Answer:

18x+5

Step-by-step explanation:

Rhe perimeter of a triangle is the sum of its three sides which here are (6x-3), (5x+6), (7x+2).

So we add them all up, 6x-3+5x+6+7x+2=18x+5

8 0

3 years ago

Read 2 more answers

Why is it preferable to measure a penny in millimeters?

White raven [17]

When measuring a penny, using the millimeter measurement would be more accurate then using inches or centimeters.

5 0

4 years ago

amid [387]

For your answer you would get 1.40 dollars as your answer or B

4 0

3 years ago

Read 2 more answers

An ash tree that is 9 yards tall casts a shadow 12 yards long. If a nearby redwood tree is 12 yards tall, how long will the redw

sasho [114]

Answer:

The redwood tree's shadow is 16 yards long.

Step-by-step explanation:

9/12 = 12/x

9x = 144

9x/9 = 144/9

x = 16

5 0

3 years ago