Base on the question where as asking what point would be the center or the rotation if the triangle is rotated 180 degree and the pre image should touch the original image more that ones, base on that, the possible answers would be point D, E and F, if they are in the center of the triangle
Answer:
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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
Simplified expression that represents the cost of renting 6 scooters is 18 j +30
<u>Step-by-step explanation:</u>
Given data:
The cost of renting of a scooter is represented by 3j +5
So, from that, we can say in general,
The cost of renting of n scooters is represented by
But according to given, the value of n is 6. i.e. to find the cost for six number of scooters. We can calculate now as follows
So, the cost of renting of a scooter is represented by
