A pipe dispenses 52 gallons of water in 5 minutes. What is the unit rate? in how many minutes will 76 gallons be pumped?

Hello i need help on all 3 of these if you could

adell [148]

Answer:oh okay

Step-by-step explanation:

4 0

2 years ago

The original price of a bicycle is $130. The sale price is 60% of the original price. What is the sale price of the bicycle?

djverab [1.8K]

Answer:

$78

Step-by-step explanation:

To find a portion of anything, you just multiply your first item by the equivalent decimal of your percent. Let's put it into action in this problem:

If your original price of your bike is $130, and you are trying to find the sale price, which is 60% (aka 0.6) of your original price. Now, like I previously mentioned, to find the portion of your price, you just want to multiply your OG price (130) by the decimal equivalent of your sale, (0.6). So 130*0.6=78

3 0

2 years ago

Make a tree diagram which shows the sample space of rolling a cube with faces numbered 1-6 and flipping a fair coin. Using this

Doss [256]

Answer:

C.) P(5, H) = 1/12

Step-by-step explanation:

8 0

2 years ago

The probability that your call to a service line is answered in less than 30 seconds is 0.85. Assume that your calls are indepen

aev [14]

Answer:

a) 0.1720

b) 0.8298

c) 19

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. So we use the binomial probability distribution 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.

In this problem we have that:

$p = 0.85$

(a) If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X = 9)$ when $n = 12$ .

So

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

$P(X = 9) = C_{12,9}.(0.85)^{9}.(0.15)^{3} = 0.1720$

(b) If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X \geq 16)$ when $n = 20$