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3 years ago

Need help due tonight!

Mathematics

1 answer:

netineya [11]3 years ago

6 0

Answer:

y = 4.375x + 2.5

Step-by-step explanation:

The equation of the line is expressed as y = mx+c

m is the slope

c is the intercept

Using the coordinate points (0, 2.5), (4, 20)

Slope m = 20-2.5/4-0

m = 17.5/4

m = 4.375

Get the intercept

Substitute (0, 2.5) and m = 4.375 into y - mx+c

2.5 = 4.375(0) + c

2.5 = c

Get the equation required

y = 4.375x + 2.5

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3 years ago

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3 years ago

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Does the equation -2x+y=0 a direct variation? If so, identify the constant of variation.

blondinia [14]

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3 years ago

GOF

Daniel [21]

Answer:

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Step-by-step explanation:

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3 years ago

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.

7 0

3 years ago