Answer:
a)= 2
b) 6.324
c) P= 0.1217
Step-by-step explanation:
a) The mean of the sampling distribution of X`1- X`2 denoted by ux`-x` = u1-u2 is equal to the difference between population means i.e = 2 ( given in the question)
b) The standard deviation of the sampling distribution of X`1- X`2 ( standard error of X`1- X`2) denoted by σ_X`1- X`2 is given by
σ_X`1- X`2 = √σ²/n1 +σ²/n2
Var ( X`1- X`2) = Var X`1 + Var X`2 = σ²/n1 +σ²/n2
so
σ_X`1- X`2 =√20 +20 = 6.324
if the populations are normal the sampling distribution X`1- X`2 , regardless of sample sizes , will be normal with mean u1-u2 and variance σ²/n1 +σ²/n2.
Where as Z is normally distributed with mean zero and unit variance.
If we take X`1- X`2= 0 and u1-u2= 2 and standard deviation of the sampling distribution = 6.324 then
Z= 0-2/ 6.342= -0.31625
P(-0.31625<z<0)= 0.1217
The probability would be 0.1217
The answer to the monthly payment is $257.1428571 or $258.
How to get the answer:
Simply minus $5555 to $555. You get $5000.
Then, divide $5000 to the number of payments which is 42. (5000/42)
For that, you get a total of 119.047619. But that is not the final answer yet.
Next, we will multiply 119.047619 to 12, because we are looking for the monthly payment and we were given an "annual" rate. Annual means yearly and every year we have twelve (12) months. In that case, 119.047619 multiplied by 12 is equal to 1428.571428. Still, it is not the final answer.
The last step is, we will multiply the answer 1428.571428 to 18% or .18 and we get a total of 257.142857. Since we used the unit $ then we will a dollar for the answer. Completing the answer to the ]question, we get a total of $257.142857 or $258 for the monthly payment.
Answer:
1. ASA
2. AAS
3. AAS
4. SSS
5. SSS
6. not sure which triangles are number 6
7. SAS
Answer:
You must be no older than 13 to play a game.
Step-by-step explanation:
≤ this sign means equal to or less than in this case it is 13
