If I am correct, the surface area of the prism should be 404ft.
Answer: x = 11
Step-by-step explanation:
Complementary angles = 90*
Set the two equations equal to 90. Solve
4x + 6 + 4x - 4 = 90
8x +2 = 90
8x = 88
x = 11
Plug it in to see if it makes equation true
4 (11) + 6 + 4 (11) - 4 = 90
44 + 6 + 44 - 4 = 90
50 + 40 = 90
90 = 90
Answer:
3 11/20
Step-by-step explanation:
Total gallons of water=7
Spring water=two and one-fourth gallon=2 1/4
Filtered water=one and one-fifth
=1 1/5
Spring water+filtered water=2 1/4 + 1 1/5
=9/4+6/5
= 45+24/20
=69/20
=3 9/20
How many gallons of water were not spring or filtered
=Total gallons- (spring+ filtered water)
=7-69/20
=140-69/20
=71/20
=3 11/20
Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation
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 true mean is different from 7.1 ppm, 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:
If you would like to know how many feet are in 30 yards, you can calculate this using the following steps:
1 yard equals to 3 feet.
30 yards = 30 * 3 feet = 90 feet
Result: 90 feet are in 30 yards.
