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Gelneren [198K]
3 years ago
14

Sam wants to know how long it will take to fill his baby pool that holds 24 gallons. after 1 minute, there are 2 gallons of wate

r in the pool. he plots the points (0,0) and (1,2) on his coordinate plane. what is the x-value of the point (x, 24)?
a.6
b.12
c.23
d.25
Mathematics
2 answers:
slega [8]3 years ago
8 0

Answer:

Value of x = 12.

(12,24)

Step-by-step explanation:

According to the given question,

Total capacity of the baby pool is =  24 gallons

After one minute, 2 gallon water in the pool.

It means 2 gallon water fill the pool take only 1 minute

So, total time taken  to fill the pool is x,

x = total capacity of the pool / (amount of water in 1 minute to fill the pool)

x=\frac{24}{2}

x = 12 minutes.

that's the final answer.

saul85 [17]3 years ago
3 0
B 12 because you divide 24/2=12
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7 1/6 times 3/4 is??
Paladinen [302]

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7\frac{1}{8}

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8 0
3 years ago
if you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4?
Kay [80]

Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the <em>binomial distribution</em> is used to solve this question.

Binomial probability distribution

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

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • There are 9 rolls, hence n = 9.
  • Of the six sides, 2 are 3 or 4, hence p = \frac{2}{6} = 0.3333

The desired probability is:

P(X \geq 2) = 1 - P(X < 2)

In which:

P(X < 2) = P(X = 0) + P(X = 1)

Then

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

P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026

P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857

0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For more on the binomial distribution, you can check brainly.com/question/24863377

7 0
3 years ago
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