The correct answer would be: 18+18i
Answer:
Case n =5
Case n =15
Case n = 40
P value
Case n =5
Case n =15
Case n =40
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z 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 is lower than 5, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
(1)
z-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:
Case n =5
Case n =15
Case n = 40
P-value
Since is a left tailed test the p value would be:
Case n =5
Case n =15
Case n =40
X = Lilys weight
x + 34 = Arthurs weight
4x - 180 = combined weight
x + x + 34 = 4x = 180
2x + 34 = 4x - 180
-2x -2x
_________________
34 = 2x -180
+180 + 180
_______________
214 = 2x
107 = x which is Lily's weight
141 = x + 34 which is Arthur's weight
The total weight is 248
which is the answer that you get when you do 4(107) = 180 or
428 -180 = 248
Hi! So pretty much to find slope of a triangle you are going to use rise/run. The height being 12 and the length is 14. You get 12/14. Simplified is going to be 6/7. :)
Answer:
12a^2 - 9a + 5
Step-by-step explanation:
(5a^2 - 6a - 4) - (-7a^2 + 3a - 9)
5a^2 + 7a^2 = 12a^2
-6a - 3a = -9a
-4 + 9 = 5
12a^2 - 9a + 5