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Ber [7]
3 years ago
13

The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with mean o

f 3.2 pounds and standard deviation of 0.8 pound. What percentage of samples of 4 fish will have sample means between 3.0 and 4.0 pounds
Mathematics
1 answer:
prohojiy [21]3 years ago
6 0

Answer:

The percentage of samples of 4 fish will have sample means between 3.0 and 4.0 pounds is 66.87%

Step-by-step explanation:

For a normal random variable with mean Mu = 3.2 and standard deviation sd = 0.8 there is a distribution of the sample mean (MX) for samples of size 4, given by:

Z = (MX - Mu) / sqrt (sd ^ 2 / n) = (MX - 3.2) / sqrt (0.64 / 4) = (MX - 3.2) / 0.4

For a sample mean of 3.0, Z = (3 - 3.2) / 0.4 = -0.5

For a sample mean of 3.0, Z = (4 - 3.2) / 0.4 = 2.0

P (3.2 <MX <4) = P (-0.5 < Z <2.0) = 0.6687.

The percentage of samples of 4 fish will have sample means between 3.0 and 4.0 pounds is 66.87%

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BaLLatris [955]

Answer: 36.9

Step-by-step explanation:

For this question you have to find out whether you are using Sin, Cos or Tan.

To work out which one you are using you can use SOH CAH TOA to help you.

SOH- The 'S' is for Sin, the 'O' and the 'H' is for Opposite over Hypotenuse.

CAH- The 'C' is for Cos and the 'A' and the 'H' is for Adjacent over Hypotenuse.

TOA- The 'T' is for Tan, the 'O' and the 'A is for Opposite over Adjacent.

As you have the Opposite (the side opposite the angle we're looking for) and the Adjacent (the side next to the angle were looking for) we would be using Tan.

So first you would have to write:

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Then because we want Theta (θ) on it's own we would have to do the inverse to 'undo' the equation. Tan-1 is the inverse of Tan.

θ=Tan-1 3/4

To find the answer you would have to put it in your calculator.

θ=36.9

Hope this helps :)

8 0
3 years ago
A 60 foot ladder is leaned against the side of a building. The bottom of the ladder is 36feet from the building. How high up the
Natasha2012 [34]

Answer:

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Step-by-step explanation:

Let me know if this is right.

8 0
2 years ago
(2a - 3b + 5c) - (-3a - 7c)
ollegr [7]

Answer:

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Step-by-step explanation:

(2a - 3b + 5c) - (-3a - 7c)

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Combine like terms

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4 0
3 years ago
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Ilia_Sergeevich [38]

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Step-by-step explanation:

A linear equation has the following form.

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Answer:

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