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
1 gal 2 qts 3 pts
1 gal 3 qts 7 pts
1 gal 3 qts 3 pts
---------------------------add
3 gal 8 qts 13 pts
1 pt = 0.5 qts...so 12 pts = 12* 0.5 = 6...so now we have :
3 gal 14 qts 1 pt
1 qt = 0.25 gal..so 12 qts = 12 * 0.25 = 3 gallons...so now we have :
6 gal 2 qts 1 pt <===
Answer:
His account balance would be -$117.25
Step-by-step explanation:
His purchase exceeded the amount of money in his checking account balance. He is now in the negative numbers.
Answer:
Option B) (-1,7,5) is correct.
The solution to the given system of equation is (-1,7,5)
Step-by-step explanation:
Given system of equations are
To find the solution of the given system of equations by using Elimination method:
Now adding equations (1) and (2)
_________________
________________
(since "-" getting cancelled)
Now adding equations (1) and (3)
_________________
________________
Now adding equations (4) and (5)
_________________
________________
Therefore y=7
Substituting y=7 in equation (4)
Therefore x=-1
Now substituting the values x=-1 and y=7 in equation (1) we get
Therefore z=5
Therefore the solution to the given system of equation is (-1,7,5)
Therefore Option B) (-1,7,5) is correct.
Type A: $20.20 ÷ 10 gal = $2.02 per gal
Type B: $$26.04 ÷ 12 gal = $2.17 per gal
Type C: $ 28.14 ÷ 14 gal = $2.01 per gal
Type D: $30.45 ÷ 15 gal = $2.03 per gal
Type B costs less per gallon.
Hope this helps!!
