Answer:
10 is greater because the square root of 20 is 4.47
Step-by-step explanation:
Answer:
The area of the base of the rectangular prism is:
- <u>18 square centimeters</u>.
The height of the rectangular prism is:
The volume of the rectangular prism is:
- <u>108 cubic centimeters</u>.
Step-by-step explanation:
To find the area of the base of the prism, you must remember that it corresponds to the rectangle formed by the points ABCD, with this in mind we apply the area formula that is equal to:
- Area of a rectangle = base * height.
Since the rectangle formed by the mentioned points has a base of 9 cm and a height of 2 cm, these values are the ones we use in the formula:
- Area of a rectangle = 9 cm * 2 cm
- <u>Area of a rectangle = 18 cm^2
</u>
Since the height requested by the second question is not from the rectangle at the base but from the entire prism, you should look at the height formed by the AW points, which as you can see is:
- <u>Prism height = 6 cm
</u>
Once we have these two data, it is very easy to calculate the volume since they are what we require in the volume formula:
- Volume = area * height.
- Volume = 18 cm^2 * 6 cm
- <u>Volume = 108 cm^3</u>
Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean weight is less than 4 ounces, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
You can count from 34-28 and the numbers you counted (the numbers in between 34-28) is your answer.