Solve the system of equations y=8x+5 y=6x+25

Laura retired from her job recently, and she has saved about $427,595.00 over the course of her career. She plans to withdraw

Rzqust [24]

Answer:

24 mouths have passed

Step-by-step explanation:

8 0

2 years ago

A free falling object increases speed by a little over 22 miles per hour each second. The arithmetic sequence 22,44,66..., repre

dimulka [17.4K]

Answer:

176 mph after 8 seconds

5 0

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

5 0

3 years ago

Need help with this test plz n thanks

Nastasia [14]

1+1 = 2
So if it is 2 then 2+6 = 8
I hope this helped love

7 0

2 years ago

Hook wants to set aside $2000 this year for a vacation. She plans on saving $48 dollars each week. There are 52 weeks in a year.

Doss [256]

I think it is reasonable. She will have extra cash (almost $500) but that isn't a bad thing when you are going on a vacation.

If you need to know how to do it, what I did was take the $48 and the 52 weeks and multiply them together to get $2,496.... But if you think in your own opinion it's not reasonable than say she could trim down her savings and only try to earn about 40 dollars each week; you get to the closer amount of $2,000 with $2,080...

I hope this helps. Choose for yourself though! <3 Good luck! (:

3 0

3 years ago

Solve the system of equations y=8x+5 y=6x+25​

Solve the system of equations y=8x+5 y=6x+25