3 years ago

Question One

Mathematics

1 answer:

Alex3 years ago

7 0

Answer:

Step-by-step explanation:

Set up proportions. Make sure length and widths line up!

$\frac{12}{5} =\frac{x}{8}$

Then do butterfly method.

$12(8) = 5x$

Solve for x.

$96 = 5x\\\\x= 19.2 in$

Hope that helped!

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Suppose the mean SAT verbal score is 525 with a standard deviation of 100, while the mean SAT math score is 575 with a standard

Ipatiy [6.2K]

Answer:

The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.

Step-by-step explanation:

Normal variables

Normal variables have mean $\mu$ and standard deviation $\sigma$

When we add normal variables, the combined mean is the sum of both means, and the standard deviation is the square root of the sum of both variances. The distribution is still normal.

In this question:

Verbal: $\mu_{V} = 525, \sigma_{V} = 100$ .

Math: $\mu_{M} = 575, \sigma_{M} = 100$

Combined:

$\mu = \mu_{V} + \mu_{M} = 525 + 575 = 1100$

$\sigma = \sqrt{\sigma_{V}^{2}+\sigma_{M}^{2}} = \sqrt{100^2 + 100^2} = 141$

The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.

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Ivenika [448]

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30 is your answer

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Answer:

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Step-by-step explanation:

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