Using the normal distribution, it is found that there is a 0.9192 = 91.92% probability that the total amount of product is less than 575 g.

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

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

It 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, which is the percentile of X.

When two normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.

In this problem, the product is composed by flakes and raisins, and we have that:

$\mu_F = 370, \sigma_F = 24, \mu_R = 170, \sigma_R = 7$

Hence, the distribution for the total amount of product has mean and standard deviation given by:

$\mu = \mu_F + \mu_R = 370 + 170 = 540$

$\sigma = \sqrt{\sigma_F^2 + \sigma_R^2} = \sqrt{24^2 + 7^2} = 25$

The probability that the total amount of product is less than 575 g is the p-value of Z when X = 575, hence:

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

$Z = \frac{575 - 540}{25}$

$Z = 1.4$

$Z = 1.4$ has a p-value of 0.9192.

0.9192 = 91.92% probability that the total amount of product is less than 575 g.

A similar problem is given at brainly.com/question/22934264

5 0

2 years ago

Use formulas to find the lateral and surface are of the given prism the numbers are 5.39m 26m 5m 2m

MrMuchimi

3(24) + 2(24) + 5.39(24) = 72 + 48 + 129.36 = 249.36 ~ 249m^2

Total Surface Area: 
(add to the above) 
2(1/2)(3)(2) = 6m^2 (area of the two triangles) 
6 + 149 = 155m^2

8 0

3 years ago

Read 2 more answers

An inhalation aerosol contains 225 mg of metaproterenol sulfate, which is sufficient for 300 inhalations. How many micrograms of

noname [10]

Answer:

Each inhalation has 750 micrograms of metaproterenol sulfate.

Step-by-step explanation:

First step: How many miligrams are there in each inhalation.This can be solved by a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

In this step, our measures are:

- The number of inhalations.

- The quantity inhaled.

As the number of inhalations increases, so does the quantity inhaled. This means that this is a direct rule of problem.

300 inhalations contains 225mg of metaproterenol sulfate. How many miligrams are in a inhalation?

300 inhalations - 225mg

1 inhalation - xmg

300x = 225

$x = \frac{225}{300}$

x = 0.75mg

Each inhalation has 0.75mg of metaproterenol sulfate.

Final step: Conversion of 0.75mg to micrograms.

Each mg has 1000 micrograms. So:

1mg - 1000 micrograms

0.75mg - x micrograms

x = 1000*0.75

x = 750 micrograms

Each inhalation has 750 micrograms of metaproterenol sulfate.

7 0

3 years ago

Plz help me with part 48

Zigmanuir [339]

I pretty sure its c hope this helps

7 0

3 years ago