Well, he reads 48 pages in those 12 days, that is 12*4 pages.
He has already read 48 pages and he still has 82, so he has a 130=48+82 page book.
Using the <em>normal distribution and the central limit theorem</em>, it is found that there is a 0.1335 = 13.35% probability that 100 randomly selected students will have a mean SAT II Math score greater than 670.
<h3>Normal Probability Distribution</h3>
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 660, hence .
- The standard deviation is of 90, hence .
- A sample of 100 is taken, hence .
The probability that 100 randomly selected students will have a mean SAT II Math score greater than 670 is <u>1 subtracted by the p-value of Z when X = 670</u>, hence:
By the Central Limit Theorem
has a p-value of 0.8665.
1 - 0.8665 = 0.1335.
0.1335 = 13.35% probability that 100 randomly selected students will have a mean SAT II Math score greater than 670.
To learn more about the <em>normal distribution and the central limit theorem</em>, you can take a look at brainly.com/question/24663213
Answer:it’s 2.5
Step-by-step explanation:40-4x=50-8
4x=50
4x=10
2.5
Answer:
(3,1)
Step-by-step explanation:
5x + 3y = 18
2x + 3y = 9
So we can use elimination here to solve this system of equations by multiplying the second equation by -1
Now we have:
5x + 3y = 18
-2x - 3y = -9
Now we add straight down and combine like terms
The y terms cancel and we are left with 3x = 9, dividing both side by 3 we get x = 3
Now we can plug this x value into one of the original equations to solve for our y value
I will use the first equation: 5(3) + 3y = 18 → condensing the terms we get 15 + 3y = 18 → subtracting the 15 from both sides we get 3y = 3 → dividing both sides by 3 we get y = 1
The solution to this system of equations is (3, 1)
Answer:
The Riemann sum equals -10.
Step-by-step explanation:
The right Riemann Sum uses the right endpoints of a sub-interval:
where
To find the Riemann sum for with n = 5 rectangles, using right endpoints you must:
We know that a = -6, b = 4 and n = 5, so
We need to divide the interval −6 ≤ x ≤ 4 into n = 5 sub-intervals of length
Now, we just evaluate the function at the right endpoints:
Finally, just sum up the above values and multiply by 2
The Riemann sum equals -10