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3 years ago

What does x equal in 7+2/5x=-5

Mathematics

2 answers:

Anna007 [38]3 years ago

7 0

Answer:

x = -30

Step-by-step explanation:

subtract 7 from both sides ( 7+2/5x -7, -5-7 )

simplify ( 2/5x = 12 )

multiply both sides by 5 ( 2/5x times 5 = 5 (-12) )

simplify ( 2x = -60 )

divide both sides by 2 ( 2x / 2, -60 / 2 )

x = -30

dem82 [27]3 years ago

4 0

X=-30 is your final 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

$P(X \geq 4) = P(X = 4) + P(X = 5)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602$

$P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681$

$P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283$

0.5283 = 52.83% probability that at least four qualify for the favorable rates

5 0

3 years ago

At a ski resort, 1/4 of the 300 skiers are beginners,and 1/4 of the 260 snowboarders are beginners.The resort staff used the dis

tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

1/4 of the 300 skiers are beginners......1/4 of the 260 snowboarders are beginners..

so we want the total number of beginners..

the distributive property in this situation would be :

1/4(300 + 260) .......to solve this, u first have to get rid of the parenthesis. To do this, u multiple the number directly to the left of the parenthesis, by everything in the parenthesis.....u distribute it.

1/4(560).....now we multiply

560/4 = 140

this way

1/4( 300 + 260) = 1/4(300) + 1/4(260) = 300/4 + 260/4 = 75 + 65 = 140

3 0

3 years ago