If you vertically compress the absolute value parent function, f(x) = [X], by a

Which sequence of y-values was formed from the function y = -2x - 9 using WHOLE numbers for x?

asambeis [7]

I got it! the answer is A!!! :D

4 0

4 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

1

bagirrra123 [75]

Answer:

don't you substitute the the x to find y

3 0

2 years ago

PLZ HELP ME I BEG YOU

wariber [46]

Answer:

Hello, If you arrange the data in ascending order , the bar graph will show sharp incline.

When you arrange the data in descending order , the bar graph will show sharp decline.

Now, if you will draw the bar graph without interfering at the data chances are it may show decline and then incline or incline and then decline.

Option (A) A bar graph that forms a gradual incline and a sharp decline of values and

Option (D) A bar graph that forms a sharp incline and a gradual decline of values

appears correct . Hope That Help!

5 0

4 years ago

Read 2 more answers

Mr. Fawcett is building a ramp for loading motorcycles onto a

sergey [27]

Answer:

10.82 ft

Step-by-step explanation:

The angle is 15°.

The opposite leg is 2.8 ft.

The length of the ramp is the hypotenuse.

sin A = opp/hyp

sin 15° = 2.8/hyp

hyp = 2.8/sin 15°

hyp = 10.82 ft

6 0

2 years ago