Answer: The answer is B. 34
Step-by-step explanation:
3(12−9)+5^2
=(3)(3)+5^2
=9+5^2
=9+25
=34
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
and standard deviation
, the z-score of a measure X is given by:
- 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:

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


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



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
9.9
With right triangles you can use the equation a^2 + b^2 = c^2. Since both a and b are 7, that makes it 7^2 + 7^2 = c^2 and from there 49 + 49 = c^2 and then 98 = c^2. Then go find C, you find the square root of 98 which is 9.899494937 or rounded as 9.9
Keep in mind a^2 + b^2 = c^2 only works for right triangles, it won’t work for any other ones.
Answer:
I believe the answer is x = 3