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

Find the missing length indicated i will give brainliest to first correct answer

Ierofanga [76]

Answer:

B) I think

Step-by-step explanation:

3 0

3 years ago

What is the value of X

Serga [27]

Answer:

X = 10.4

Step-by-step explanation:

Since the angle is a 90 degress angle we can assume that

39 + (5x-1) = 90 degrees.

Therefore we can subtract 39 from both sides which will give us

5x-1=51

Add 1 to both sides

5x = 52

Divide both sides by 5

x=52/5

The answer is

X = 10.4

Hope this helps! :)

7 0

2 years ago

PLZ HELP! Solve the system of equations using the substitution method

vladimir2022 [97]

Answer:

x=6,y=-11

Step-by-step explanation:

y=-3x+7

x=-2y-16

Substitute the second equation into the first every place you see an x

y=-3(-2y-16)+7

Distribute

y = 6y+48 +7

Combine like terms

y = 6y +55

Minus 6y from each side

y-6y = 6y-6y+55

-5y = 55

Divide by -5

-5y/-5 = 55/-5

y = -11

Now we need to find x

x=-2y-16

x = -2(-11) -16

x =22-16

x = 6

x=6, y= -11

3 0

3 years ago