(3 * 2)2/6 - 5 + (4 - 1)2?

Mathematics

2 answers:

saul85 [17]3 years ago

7 0

Answer: The answer is 3.

KIM [24]3 years ago

7 0

Answer:

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A population has a mean, μ = 89 and a standard deviation,σ = 24.

Cloud [144]

Answer:

$\bar X \sim N(\mu=89, \frac{24}{\sqrt{64}}=3)$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

Let X the random variable of interest for a population. We know from the problem that the distribution for the random variable X is given by:

$X\sim N(\mu =89,\sigma =24)$

We take a sample of n=64 . That represent the sample size.

The sample mean is defined as:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And if we find the expected value and variance for the sample mean we got:

$E(\bar X) = \mu$

Var(\bar X) = \frac{\sigma^2}{n}[/tex]

The distribution for the sample mean is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\bar X \sim N(\mu=89, \frac{24}{\sqrt{64}}=3)$

3 0

3 years ago

Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volum

Mazyrski [523]

Question:

Karina has recently begun kickboxing and purchased training equipment as modeled in the diagram below. The cylindrical base is 15 inches tall with a diameter of 22 inches.

Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volume).

Answer:

$Section = 4847.3205\ in^3$