Answer:
(a) The sampling distribution of
= Population mean = 79
(b) P (
greater than 81.2 ) = 0.1357
(c) P (
less than or equals 74.4 ) = .0107
(d) P (77.6 less than
less than 83.2 ) = .7401
Step-by-step explanation:
Given -
Sample size ( n ) = 81
Population mean
= 79
Standard deviation
= 18
(a) Describe the sampling distribution of 
For large sample using central limit theorem
the sampling distribution of
= Population mean = 79
(b) What is Upper P (
greater than 81.2 ) =
= 
= 
= 
= 1 - .8643 =
= 0.1357
(c) What is Upper P (
less than or equals 74.4 ) =
= 
= 
= .0107
(d) What is Upper P (77.6 less than
less than 83.2 ) =
= 
= 
= 
= 0.9821 - .2420
= 0.7401
Hello from MrBillDoesMath!
Answer:
b2 = 5
Discussion:
A = 1/2 h (b1 + b2)
.
Substituting A = 16, h = 4, and b1=3 in the above formula gives:
16 = (1/2) (4)( 3 + b2) => (as (1/2)4 = 2) )
16 = 2 ( 3 + b2) => (divide both sides by 2)
8 = (3 + b2) => (subtract 3 from both sides)
8-3 = b2 =>
5 = b2
Check Area formula:
Does A = 16 = (1/2)(4)(3+5) ?
Does 16 = (1/2) (4)(8) ?
Does 16 = (1/2)(32) ? Yes it does so our calculation for b2 is correct
Thank you,
MrB
The answer is B. 10 9/12 + 2 1/12= 12 10/12. 12÷2=6 10÷2=5 making the answer 12 5/6
3(x-7)+8=-20
Multiply the bracket by 3
(3)(x)(3(-7)+8= -20
3x-21+8= -20
3x-13= -20
Move -13 to the other side. Sign changes from -13 to +13.
3x-13+13= -20+13
3x= -7
Divide by 3
3x/3= -7/3
x= -7/3 or in mixed number : -2 1/3
Answer : x= -7/3 or in mixed number : -2 1/3