9514 1404 393
Answer:
400
Step-by-step explanation:
The statement of proportionality means the ratio of y to √x is the same. Then we can write ...
(√x)/100 = (√81)/45
√x = 100(√81)/45 = 20 . . . . . multiply by 100
x = 20² = 400
x is 400 when y is 100.
Answer:
Step-by-step explanation:
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
Answer:
See below.
Step-by-step explanation:
6x-2≤9
+2 +2
6x≤11
/6 /6
x≤11/6
4+3x>15
-4 -4
3x>11
/3 /3
x>11/3
-hope it helps
Answer:
The answer is x= 22/15=1,47
Step-by-step explanation:
We put in one member the X and in the other the whole numbers:
17x - 6 + 3x - 5 = x + 11 + 4x
17x +3x -x-4x= 11+6+5
15x = 22
x= 22/15
