Answer:
48 cm²
Explanation:
Let the breadth be b, then the length is 3b
P = 2(Length + Breadth)
32 = 2(3b + b)
32 = 2(4b)
8b = 32
b = 4
Breadth is 4 cm
Length: 3b = 3(4) = 12 cm
Area of rectangle:
Length × Breadth
12 × 4
48 cm²
-6x is the answer hope it helps
Answer:
In bold.
Step-by-step explanation:
6/6 = 9/a
So a = 9.
6/c = a/4.5
6/c = 9/4.5 = 2
So c = 3.
By similar triangles:
d/5 = 6/ (6+6+3)
d/5 = 6/15 = 2/5
So d = 2.
Also by similar triangles
b/5 = 12/15 = 4/5
So b = 4.
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
