Answer:
10
Step-by-step explanation:
Dividing by 10 means you move the decimal point from the end of the number to the number before it. So if you divide 344 by 10, you would get 34.4.
An iterated integral is the outcome of taking integrals toward a function of more than one variable in such a way that part of the variables is treated as constants for each of the integrals.
From the given parameters, we are to write out five iterations for a triple integral;
where;
- the region is bounded by 0 ≤ z ≤ y, 0 ≤ y ≤ x², 0 ≤ x ≤ 8.
Thus, since x, y, z are functions of at least one variable, we can have the following iterations:
Learn more about iterated integrals here:
brainly.com/question/7009095
Answer:
Should be 10- (-2) lemme know if im wrong
Step-by-step explanation:
Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a:
a) 0.281 = 28.1% probability that the sample mean is above 500.
b) 0.0003 = 0.03% probability that the sample mean is above 500.
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.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation .
In this problem:
- The mean is of 430, hence .
- The standard deviation is of 120, hence .
Item a:
The probability is the <u>p-value of Z when X = 500</u>, hence:
has a p-value of 0.719.
1 - 0.719 = 0.281
0.281 = 28.1% probability that the sample mean is above 500.
Item b:
Sample of 35, hence
Then:
By the Central Limit Theorem
has a p-value of 0.9997.
1 - 0.9997 = 0.0003
0.0003 = 0.03% probability that the sample mean is above 500.
To learn more about the <u>normal distribution and the central limit theorem</u>, you can take a look at brainly.com/question/24663213
The area of the square = (2x + 3)^2 = 4x2 + 12x + 9.