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3 years ago

If 2/3x - 1 =4, then x =

Mathematics

2 answers:

Olin [163]3 years ago

3 0

Answer:2/15

Step-by-step explanation:

sergij07 [2.7K]3 years ago

3 0

2/3x -1=4
2/3x=5
2x=15
X=15/2

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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:

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

5 0

3 years ago

Jenny's aquarium holds 25 quarts of water. She buys a new one that holds 32 quarts.

Virty [35]

Answer:

7 quarts

Step-by-step explanation:

you subtract the amount that the first aquarium can hold from the second amount

5 0

2 years ago

Solve the equation. −3(y+5)=15

e-lub [12.9K]

Divide both sides by -3

y + 5 = -15/3

Simplify 15/3 to 5

y + 5 = -5

Subtract 5 from both sides

y = -5 - 5

Simplify -5 - 5 to -10

y = -10

8 0

3 years ago

Read 2 more answers

Ingrid walked her dog and washed her car . She spent 3 times as much time washing her car as she did walking her dog. it took In

Nostrana [21]

To figure out long it took for Ingrid to walk her dog,multiply 3*1 and 1/2 or 3*1.5 to get 4.5 hours or 4 and 1/2 hours.

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3 years ago

Can you help me, show how you did it if you can

Nady [450]

Jamie had 32 dollars. She spent half of it (16) at the arcade, left with 16. Then she spent 1/4 of that, (4) leaving her with 12. Then she spent 2$, leaving her with 10. You bacicly do the steps backwards.

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3 years ago