Answer: a) 27.5, b) 5.33.
Step-by-step explanation:
Since we have given that

and n = 180
We need to calculate the sample mean and sample standard deviation.
So, the mean of the distribution of sample means is

The standard deviation of the distribution of sample means is

Hence, a) 27.5, b) 5.33.
Answer:
Step-by-step explanation:
I have to say that there is not enough givens to prove anything. If the statement given is all there is, then many things can be proven.
One
All you are given is that the diagonal is bisected. It does not mean that the other diagonal is bisected without more information. All you can prove is that DH = HF Definition of a midpoint.
Two
For the second one KO bisects JKM. What that means is that the two smaller angles are equal. Bisects means cuts in half.
JKO = KOM. KO cuts JKM in half The reason is definition of bisect.
Three
This one actually can prove some something.
AB = BC which equals AC
BC = CD which equals BD
Therefore AC = DB
This is the associative property of equality. So far it is the hardest one.
Four
DE perpendicular to EF
Join DF A triangle is formed by construction.
Triangle DEF if s a right triangle. Perpendiculars form right angles.
Answer:
E. (x³/360)π square units
Step-by-step explanation:
The area of a sector has a formula.
θ°/360° × πr²
The radius is x units, the central angle of the sector is x°.
x/360 × πx²
x/360 × x² × π
x³/360 × π
The area of the sector is equal to (x³/360)π square units.
Answer:
0
Step-by-step explanation:
First let's solve for the value in the parentheses.

We know this is correct because if we multiply a value by 100, the decimal point is moved 2 places to the left.
35 - 35 = 0, so the value of this expression equals out to be 0.
Hope this helped!
So hmm check the picture below
and since you already covered solving system of equations, surely you'll breeze right through B)