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GrogVix [38]
4 years ago
9

The scores of a given test were normally distributed

Mathematics
1 answer:
julsineya [31]4 years ago
5 0

Answer:

The standard deviation is 6

Step-by-step explanation:

The scores of a given test were normally distributed  with a mean of 82.

\mu = 82

James received a 67 with a z-score of  -2.5

Z score = -2.5

\bar{x}=67

Formula :Z=\frac{x-\mu}{\sigma}

-2.5=\frac{67-82}{\sigma}

\sigma = \frac{67-82}{-2.5}

\sigma =6

Hence The standard deviation is 6

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Answer: ∛v

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Since we know volume is measured height x width x length, we know the equation we'd use here would be:

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If this was area, we would have ___ x ___ = v in², and it would be easy to find each blank. You would just find the square root of "v", making your answer √v.

When you have 3 things multiplied by each other (that are exactly the same, which is the situation here since this is a cube), you will want to find ∛x (if x is our unknown variable). This means that we are finding ONE-THIRD of the number ... sort of. So if x was equal to 8, then ∛x = 2, because 2 x 2 x 2 = 8.

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y = 4x + 2 \\  =  > 4 = 4x + 2 \\  =  > 4x = 4 - 2 \\  =  > 4x = 2 \\  =  > x =  \frac{2}{4}  =  \frac{1}{2}

<u>Answer:</u>

x =  \frac{1}{2}  \\ y = 4

Hope you could understand.

If you have any query, feel free to ask.

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