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SIZIF [17.4K]
3 years ago
8

Jay and blair went fishing. Together, they caught 27 fish. Jay caught 2 times as many fish as blair. How many fish did Jay and B

lair each catch? Write an equation and solve. Explain your work.
Mathematics
1 answer:
IgorC [24]3 years ago
3 0
This is how you answer the problem 27×2=54
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3 years ago
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A company makes windows for use in homes and commercial buildings. The standards for glass thickness call for the glass to avera
guajiro [1.7K]

The question is incomplete. The complete question follows.

A company makes windows for use in homes and commercial builidings. The standards for glass thickness call for the glass to average 0.325 inch with a standard deviation equal to 0.065 inch. Suppose a random sample of n=44 windows yield a sample mean of 0.337 inch. Complete parts a and b.

a. What is the probability of x ≥ 0.337 if the windows meet the standards?

b. Based on your answer to part a, what would you conclude about the population of windows? Is it meeting the standards? (A result is unusual if it has a probability less than 0.05)

Answer and Step-by-step explanation: To answer this question, use <u><em>Central Limit Theorem</em></u>: it states regardless of the original population distribution, if the sample size is large enough, the sample mean distribution will approach a normal distribution.

The calculations for the CLT is given by normalizing the distribution, i.e.:

z=\frac{x-\mu}{\sigma/\sqrt{n} }

where

z is z-score

x is the sample mean

μ is population mean

σ is standard deviation of the population

n is the number of individuals in the sample

Calculating z-score for the window maker company:

z=\frac{0.337-0.325}{0.065/\sqrt{44} }

z=\frac{0.012}{0.0098}

z = 1.22

Using the z-score table, we found the probability:

P = 0.8888

As it is a "more than situation":

P(x≥0.337) = 1 - 0.8888

P(x≥0.337) = 0.1112  or 11.12%

a. Probability of x≥0.337 if the windows meet the standards is 11.12%.

b. Comparing results, probability of x≥0.337 is bigger than 0.05:

0.1112 > 0.05

So, we can conclude that the random sample of n=44 is meeting the standards estipulated.

7 0
2 years ago
A kilogram of seawater contains 1/40 kg of salt. How much salt is there in two buckets of seawater, which contain 500 liters of
never [62]

Two buckets of seawater contain 13\frac{28}{40} kg of salt.

Step-by-step explanation:

Amount of salt in 1 kg water = \frac{1}{40}\ kg

It is given that;

1 liter = 1\frac{12}{125} = \frac{137}{125}\ kg

500 liters = 500*\frac{137}{125} = \frac{68500}{125}

500 liters = 548 kilogram

As,

1 kg of seawater = \frac{1}{40}\ kg of salt

548 kilograms = \frac{1}{40}*548

548 kilograms = 13\frac{28}{40} kilograms of salt

Two buckets of seawater contain 13\frac{28}{40} kg of salt.

Keywords: unit rate, multiplication

Learn more about multiplication at:

  • brainly.com/question/10525991
  • brainly.com/question/10534381

#LearnwithBrainly

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3 years ago
How to do exponents a quicker way!! Please help my brother!
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You need to remember your exponent rules. I don’t know any easier way to do it. These are all the ones I can remember right now

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2 years ago
Simplify the expression. Write answer using only positive exponents.<br><br><br> (1/3a^3)^-4
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Answer:

81/a^12

Step-by-step explanation:

3 0
2 years ago
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