Answer:
correct option: 2 -> It would decrease.
Step-by-step explanation:
If the amount of gas is the same, the following relation needs to be constant:
So, If the pressure is constant, the volume and the temperature are directly proportional (if one increases, the other also increases).
Then, an decrease of 3 times in the volume would cause an decrease of 3 times in the temperature.
So the correct option is 2.: It would decrease.
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:
A. 409.4
Step-by-step explanation:
3%=10.68
10.68*5=53.4
53.4+356=409.4
No they are not the same
This is because 7^(-2) = 1/(7^2) = 1/49
The general rule is x^(-y) = 1/(x^y)