Add up all the numbers & divide by the number of numbers. That should give you the mean.
Answer:
Step-by-step explanation:
Alright, lets get started.
Lets find slope for both bikes one by one
For bike 1 :
There are two points on the graph of Bike 1, these two points are (2,3) and (4,6)
So the slope for bike 1 is : 
So the slope for bike 1 is : 
So the slope for bike 1 is : 
For bike 2 :
There are two points on the graph of Bike 2, these two points are (4,5) and (8,10)
So the slope for bike 2 is : 
So the slope for bike 2 is : 
Hence Bike 1 will win the race as slope of line bike1 is greater than slope of line bike 2. So, answer is option D
Using the z-distribution, it is found that since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, it is tested if the mean is not different to 16 ounces, that is:

At the alternative hypothesis, it is tested if the mean is different, hence:

<h3>What is the test statistic?</h3>
The test statistic is:

In which:
is the sample mean.
is the value tested at the null hypothesis.
is the standard deviation of the population.
The parameters for this problem are:
.
Hence:


z = -2.1
<h3>What is the p-value and the conclusion?</h3>
Using a z-distribution calculator, for a two-tailed test, as we are testing if the mean is different of a value, with z = -2.1, the p-value is of 0.0357.
Since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.
More can be learned about the z-distribution at brainly.com/question/16313918
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Answer:
x³-2x² = x2(x – 2) cubic units
Step-by-step explanation:
The volume of a prism is found by multiplying the base area by the height. The base area is a parallelogram and so the area is x*(x-2) = x² -2x.
Multiply this area by the height x.
V = x(x² - 2x) = x³-2x²
This is the same as x2(x – 2) cubic units.
Answer:
9
Step-by-step explanation:
3 3/4= 3.75.
3.75-2=1.75
1.75+5.5=7.25 or 7 1/4
7.25+1.75=9