Answer:
10x^3+14x^2-25x-35
Step-by-step explanation:
f(x) = 2x^2 -5
g(x)= 5x+7
f(g(x)) = (2x^2 -5)(5x+7)
5x(2x^2 -5)+7(2x^2 -5)
10x^3-25x+14x^2-35
10x^3+14x^2-25x-35
Answer:
option (c) The mean age will stay the same but the variance will decrease
Step-by-step explanation:
Case I: For 3 executives of ages 56, 57 and 58
Number of executives, n = 3
Mean =
or
Mean = 57
Variance =
or
Variance =
or
Variance =
or
Variance = 1
For Case II: For 4 executives of ages 56, 57, 58 and 57
Number of executives, n = 4
Mean =
or
Mean = 57
Variance =
or
Variance =
or
Variance =
or
Variance = 0.67
Hence,
Mean will remain the same and the variance will decrease
Hence,
The correct answer is option (c) The mean age will stay the same but the variance will decrease
Convert the mixed number into a decimal and multiply on a calculator (or by hand).
This was asked already
c=pid or
c=2pir
use first one
c=3pi
3pi=c=pid
3pi=pid
divide by pi
3=d
diameter=3 units
Answer:
Option A.

Step-by-step explanation:
see the attached figure with letters to better understand the problem
In this problem we have a triangle with a circle inscribed in it
so

step 1
Find the length side B.C

substitute the given values

step 2
Find the length side C.D
Remember that

therefore

step 3
Find the length side E.D
we know that

substitute the given values

step 4
Find the length side E.F
Remember that

therefore

step 5
Find the length side A.F
Remember that

therefore

step 6
Find the perimeter

