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3 years ago

A student is trying to solve the set of two equations given below:

1 answer:

7 0

If you would like to eliminate the z-term, you can do this using the following steps:

x + z = 6 /*(-2)
3x + 2z = 1
_____________
-2x -2z = -12
3x + 2z = 1
_____________
-2x + 3x = -12 + 1
x = -11

The correct result would be x + z = 6 /*(-2).

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Step-by-step explanation:

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What is the probability a sample of 90 test takers will provide a sample mean test score within 10 points of the population mean

Elena-2011 [213]

Answer:

0.658 is the probability that a sample 90 test takers will provide a sample mean test score within 10 points of the population mean of 502.

Step-by-step explanation:

The following information is missing:

The standard deviation of population is 100.

We are given the following information in the question:

Population mean, μ = 502

Standard Deviation, σ = 100

Sample size, n = 90

Standard error =

$\dfrac{\sigma}{\sqrt{n}} = \dfrac{100}{\sqrt{90}} = 10.54$

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(test score within 10 points)

$P(492 \leq x \leq 512) \\\\= P(\displaystyle\frac{492 - 502}{10.54} \leq z \leq \displaystyle\frac{512-502}{10.54}) \\\\= P(-0.9487 \leq z \leq 0.9487)\\= P(z \leq 0.9487) - P(z < -0.9487)\\= 0.829 -0.171 = 0.658 = 65.8\%$

$P(492 \leq x \leq 512) = 65.8\%$

0.658 is the probability that a sample 90 test takers will provide a sample mean test score within 10 points of the population mean of 502.

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3 years ago

How is 75/100 equivalent to 3/4?

Grace [21]

Because if u divide 3 by 4 you get .75 which is out of 100 %

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katen-ka-za [31]

Answer:

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Step-by-step explanation:

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