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1 year ago

What is the domain of y = log Subscript 4 Baseline (x + 3)?

Mathematics

1 answer:

LekaFEV [45]1 year ago

3 0

Answer:

All real numbers greater than -3

Step-by-step explanation:

The domain of a log is the baseline is greater than 0.

Set x + 3 greater than zero and solve

x + 3 > 0

x > -3

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The length (L) of the figure is 11 mm and the width (w) is 9 mm. What is the perimeter of the shaded region? Round to the neares

Lera25 [3.4K]

Answer:

50.3 mm

Step-by-step explanation:

The perimeter of the shaded region = perimeter of a full circle + 2(Length)

= πd + 2(L)

diameter (d) = width = 9 mm

Length (L) = 11 mm

Perimeter of the shaded region = π*9 + 2(11)

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Your bill from Acme Supply Company is marked "3/15, net 30." The amount of the bill is $289.95. If you pay the bill within 15 da

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2 years ago

A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were de

olga2289 [7]

Answer:

Se=1.2

Step-by-step explanation:

The standard error is the standard deviation of a sample population. "It measures the accuracy with which a sample represents a population".

The central limit theorem (CLT) states "that the distribution of sample means approximates a normal distribution, as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population distribution shape"

The sample mean is defined as:

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

And the distribution for the sample mean is given by:

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

Let X denotes the random variable that measures the particular characteristic of interest. Let, X1, X2, …, Xn be the values of the random variable for the n units of the sample.

As the sample size is large,(>30) it can be assumed that the distribution is normal. The standard error of the sample mean X bar is given by:

$Se=\frac{\sigma}{\sqrt{n}}$

If we replace the values given we have:

$Se=\frac{12}{\sqrt{100}}=1.2$

So then the distribution for the sample mean $\bar X$ is:

$\bar X \sim N(\mu=80,Se=1.2)$

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3 years ago