Answer:
ok i will do that
Step-by-step explanation:
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
Answer:
Given
This is our initial premise.
2) Linear pairs of angles are supplementary
This one is a little questionable, as some definitions of linear pairs require supplementary angles, whereas others only require the intersection of two lines. Check your book or notes for any given theorems regarding supplementary angles.
3)
m
∠
A
B
C
+
m
∠
C
B
D
=
180
∘
The definition of supplementary angles is that two angles are supplementary if their measures sum to
180
∘
.
4) Substitution of 1. into 3.
As with 2), this may differ based on the teacher or book. Some may prefer that you write out the equation, whereas others may be satisfied with the references as given. Check for similar examples.
5)
m
∠
A
B
C
=
90
∘
Subtracting
90
∘
from each side of 4. gives us the above result.
6) Definition of right angle
Step-by-step explanation:
To solve this equation, first we have to use the distributive property to eliminate the parentheses on the left side of the equation.
If done correctly, your simplified equation should be
100,000 + 75,000x = 125,000
Next, we would subtract 100,000 from both sides, resulting in the equation
75,000x = 25,000
Finally, we would divide both sides of the equation by 75,000, resulting in your final answer of
x= 25,000/75,000
However, many mathematics teachers ask for fractional answers to be simplified. To simplify fractions, we first find the GCF of both numbers, and then divide both the numerator and the denominator by the GCF.
The GCF of 25,000 and 75,000 is 25,000.
So, in simplest form, your final answer is
x=1/3
The formula is 2(wl+hl+hw) to calculate surface area fo a rectangular prism.