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:
They are: area of sector and area of triangle
Step-by-step explanation:
Area of segment=area of sector - area of triangle
So we need both the area of sector and area of triangle to calculate for the area of a segment
Step-by-step explanation:
Given polynomials are:
Both polynomials have to be multiplied. We will use distributive property for the said purpose
So,
Combining alike terms
Hence,
Keywords: Polynomials, Multiplication
Learn more about polynomials at:
#LearnwithBrainly
Answer:
y=6
Step-by-step explanation:
-6y+15=-21
-6y=-21-15 (it becomes negative on this side.)
-6y=-36 (divide both sides by -6.)
y=6
Answer:
Result after multiplication of polynomial is: 
Degree of polynomial = 3
Step-by-step explanation:
The given polynomials are:
In order to multiply the given polynomials we have to work step by step. First of all the polynomials in the bracket will be multiplied and then their result will be multiplied with x.
So, multiplying the polynomials in round brackets first
Now multiplying with x
Degree of a polynomial is the highest exponent of variable in the polynomial.
In the acquired result, the highest exponent of x is 3 so the degree is 3.
Hence,
Result after multiplication of polynomial is:
Degree of polynomial = 3
