The correct answer would be 42.50
Work:
50 divided by 100 = .5
.5 * 15 = 7.5
50 - 7.5 = 42.50.
Answer:
4
Step-by-step explanation:
Given
← evaluate the denominator
=
← perform the division
= 4
Answer:
(-3, -6)
explanation:
When reflected across x axis, the x value will be same and y value will become negative.
original coordinates of D: (-3, 6)
- so new coordinates: (-3, (-)6) = (-3, -6)
Answer:
D
Step-by-step explanation:
We calculate the z-score for each
Mathematically;
z-score = (x-mean)/SD
z1 = (1.9-2.1)/0.2 = -1
z2 = (2.3-2.1)/0.2 = 1
So the proportion we want to calculate is;
P(-1<x<1)
We use the standard score table for this ;
P(-1<x<1) = P(x<1) -P(x<-1) = 0.68269 which is approximately 68%
Answer:
A. The larger the sample size the better.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean
and standard deviation 
In this question:
We have to look at the standard error, which is:

This means that an increase in the sample size reduces the standard error, and thus, the larger the sample size the better, and the correct answer is given by option a.