Answer:
45 meters
Step-by-step explanation:
Perimeter of the triangle is the sum of the 3 lengths of the traingle. Since the ratio of the sides is 4:6:9, let the shortest side be 4 units, the longest side be 9 units and the 3rd side be 6 units.
Units is represented as u.
Sum of all 3 sides= 95 m
4u +6u +9u= 95
19u= 95
u= 95 ÷19
u= 5 meters
Longest side= 9 units
Length of the longest side= 9(5) = 45m
Answer:
1.66666666667
Step-by-step explanation:
The answer would be 144 inches, found by multiplying the length of the paper by the width.
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:
We are given with the free-fall function expressed as y = –16t2 + 224. To get the time of fall, equate y equal to zero as this means the stone has already reached the bottom. Doing this, t is equal to square root of 14 or equivalent to 3.74 seconds
