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solong [7]
3 years ago
12

How do i write 98.5 in scientific notation?

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
3 0
Scientific notation is 9.85 × 10^1
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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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K over x = w over v solve for x
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\frac{k}{x} = \frac{w}{v} Multiply both sides by v
<span>\frac{kv}{x} = w   Multiply both sides by x
</span>kv = wx   Divide both sides by w
<span>\frac{kv}{w} = x   Switch the sides to make it easier to read
</span>x = <span>\frac{kv}{w} </span>
6 0
3 years ago
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