Evaluate 3^2 (6-2) times 4-6/3

Ava and Becca are collecting canned goods.Ava collected 3/4 of a box of canned goods.If Becca collected 5times as much as Ava, h

liq [111]

Becca collected 3 and 3/4 worth of boxes

8 0

2 years ago

Ann:my number has two periods.one contains the digits 4,1,and 8 in that order.the other contains the digit 9.

GarryVolchara [31]

The Decimal number system has following rules.

Suppose you have to write a number 4,567,892 .

2 -ones - (first period)

9-tens - (first period)

8-hundreds - (first period)

7-thousands - (second period)

6-ten thousand- (second period)

5-hundred thousand- (second period)

4-million- (third period)

then comes ten million,hundred million and then Billion.

If a number is given you have to apply commas from left to right after every three places.

So, your number is 9,418.

8-first period

1--first period

4--first period

9- second period

8 0

3 years ago

Life Expectancies In a study of the life expectancy of people in a certain geographic region, the mean age at death was years an

Sphinxa [80]

Answer:

The probability that the mean life expectancy of the sample is less than X years is the p-value of $Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$ , in which $\mu$ is the mean life expectancy, $\sigma$ is the standard deviation and n is the size of the sample.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

We have:

Mean $\mu$ , standard deviation $\sigma$ .

Sample of size n:

This means that the z-score is now, by the Central Limit Theorem:

$Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

Find the probability that the mean life expectancy will be less than years.

The probability that the mean life expectancy of the sample is less than X years is the p-value of $Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$ , in which $\mu$ is the mean life expectancy, $\sigma$ is the standard deviation and n is the size of the sample.

8 0

2 years ago

Evaluate the expression for n =8 <br> 3+7 x n

bonufazy [111]

Answer:n=-83/60 or -1.383

Step-by-step explanation:

4 0

3 years ago

Is 21/5 a rational number

Anastaziya [24]

The number 21/5 is a rational number because it can be simplified down to 4.2, or 21/5

8 0

3 years ago