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3 years ago

Select a rule for the following pattern. 44; 440; 4,400; 44,000 . . .

2 answers:

algol133 years ago

5 0

What changes about the numbers when you go from one to the next, and what stays the same? Here, it looks like you start with the number 44, but how do you change the number from one to the next?

luda_lava [24]3 years ago

3 0

Okay. For each of those numbers, you are adding another zero behind the number, which means you are multiplying by 10. 44 * 10 is 440. 440 * 10 is 4,400. 4,400 * 10 is 44,000. And so on. The rule is that you are multiplying by 10.

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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

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

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

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

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

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

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

5 0

3 years ago

Please answer correctly! I will mark you as Brainliest!

jasenka [17]

Answer:

I have actually done this before, I got it right and I chose C!

hope this helps. love u guys!

6 0

3 years ago

Read 2 more answers

Complete the following ordered pairs.<br> Y=-7x+8<br> (0,__)<br> (7,__)<br> (__,36)

Sonbull [250]

Answer:

Answers are in bold in explanation

Step-by-step explanation:

We are given the equation:

y = -7x + 8

The first x value is 0

y = -7(0) + 8

y = 8

(0, 8)

The next x value is 7

y = -7(7) + 8

y = -41

(7, -41)

Now we are given the Y value instead of X, so we do this:

36 = -7x + 8

Subtract 8 on both sides to leave -7x alone

28 = -7x

Divide by -7 on both sides to isolate x

-4 = x

(-4, 36)

8 0

3 years ago

Read 2 more answers

Walter is helping to make cookies for a basketball tournament. He's made 15 cookies so far. His coach asked him to make at least

seraphim [82]

Answer: First Option

Walter needs to make at least 5 more cookies but no more than 40

$5 \leq x \leq 40$

Step-by-step explanation:

If we call x the number of cookies that Walter needs to make, then we know that the amount of cookies will be:

$x +15$

Then this amount must be greater than or equal to 20 and must be less than or equal to 55 then.

$x + 15 \geq20$ and $x + 15 \leq55$

This is:

$20 \leq x + 15 \leq 55$

We solve the inequality for x.

$20-15 \leq x + 15-15 \leq 55-15\\\\5 \leq x \leq 40$

Then the amount of cookies that Walter must make must be greater than or equal to 5 and less than or equal to 40

7 0

4 years ago

Read 2 more answers

Graph the ordered pair ( -2, 5) and its reflection over the y-axis. Name the coordinates for the reflection

Nana76 [90]

Answer:

The ordered pair (-2,5) reflected over the y-axis is (2,5)

Step-by-step explanation:

5 0

3 years ago