Please help its due tomorrow

Anastasy [175]

40 because 3+6+12 = 21 and 8+11+21 =40

7 0

4 years ago

hannah and mallory are selling boxes of cookies for a school fundraiser. each box costs the same amount. hannah sells 14 boxes.

aleksley [76]

The cost per box of cookies is $3.75

The total amount Hannah raised from the sales of cookies is $52.50

The total amount Mallory raised from the sales of cookies and donations is $88.50

In order to determine the cost per box of cookies, take the following steps:

The first step is to determine the total sum of the boxes sold by Hannah and Mallory

Sum of the boxes sold = 14 + 22 = 36 boxes

36 boxes were sold by Hannah and Mallory

The second step is to determine the total cost of the 36 boxes sold.

Total cost of 36 boxes = total amount raised - donation

$141 - $6 = $135

The third step is to determine the total cost of each box

cost of one box = total cost of 36 boxes / total number of boxes

135 / 36 = $3.75

The total amount Hannah raised = cost per box x number of boxes she sold

14 x $3.75 = $52.50

The total amount Mallory raised = amount raised from the sale of cookies + donation

amount raised from sales = cost per box x number of boxes she sold

22 x $3.75 = $82.50

Total amount = $82.50 + $6 = $88.50

A similar question was answered here: brainly.com/question/10915476?referrer=searchResults

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

3 years ago

Evan drew 8 pictures. Alexa drew p fewer pictures than Evan. Write an expression that shows how many pictures Alexa drew.

zhenek [66]

Answer:

8 - p

Step-by-step explanation:

X is p fewer than Y … X = Y - P

3 0

2 years ago

On Mars the acceleration due to gravity is 12 ft/sec^2. (On Earth, gravity is much stronger at 32 ft/sec^2.) In the movie, John

insens350 [35]