1/6 < 1/4 so 1/6 would equal 2/12 and 1/4 would equal 3/12 so which means if you take one from each it would be 5/12 but if you took 2 from the first one it would only be 2/12 which is why you need to read correctly because THE REASON MARK IS CORRECT IS BECAUSE 5/12 IS GREATER THAN 2/12
The dot plot or histogram will be skewed.
The mean is pulled up or down toward the tail.
The mean is affected more than the median.
Sample Response: When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.
The x-coordinate remains the same as the x-coordinate of point B.
The y-coordinate becomes the additive inverse of the y-coordinate of point B.
Answer: B. (3, -8)
Answer:
We conclude that the sonnets were written by by a certain Elizabethan poet.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 8.9
Sample mean, 
=10.2
Sample size, n = 6
Alpha, α = 0.05
Population standard deviation, σ = 2.5
First, we design the null and the alternate hypothesis
We use One-tailed z test to perform this hypothesis.
a) Formula:
Putting all the values, we have
Now, 
b) We calculate the p value with the help of z-table.
P-value = 0.1003
The p-value is greater than the significance level which is 0.05
c) Since the p-value is greater than the significance level, there is not enough evidence to reject the null hypothesis and accept the null hypothesis.
Thus, we conclude that the sonnets were written by by a certain Elizabethan poet.
Answer:
$125,000.12 last year
$375,000.36 this year
Step-by-step explanation:
Last year, her profits were x.
This year, the profits are three times greater, so they are 3x.
Altogether for both years, the profits are x + 3x = 4x.
The profits for both years combined are $500,000.48
4x = 500,000.48
Divide both sides by 4.
x = 500,000.48/4
x = 125,000.12
The profits last year were $125,000.12
This year, the profits were 3x = 3(125,000.12) = 375,000.36, or $375,000.36
