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Hi there!
Recall the volume of a pyramid is:
V = 1/3(bh)
We are given the volume and side length of the base. Find the area of the base:
A = s²
A = (5xy²)² = 25x²y⁴
Plug in the solved for base:
125x³y³ = 1/3(25x²y⁴)h
To isolate for h, begin by multiplying both sides by 3:
375x³y³ = (25x²y⁴)h
Divide both sides by 25x²y⁴. Use the following exponent property:
xᵃ / xᵇ = xᵃ⁻ᵇ
Thus:
375x³y³ / 25x²4⁴ = 15x/y.
The height must be equal to:
Answer:
(b) Expected number of male kitten E(x) = 1
(c) Standard deviation is ±.
Step-by-step explanation:
Given that,
Number of kittens in a group are 10. Out of these 5 are female.
To find:- (a) create a probability model of male kitten chosen.
So, total number of kitten = 10
number of female kitten = 5
then, Number of male kitten =
Now total number of ways to choosing two kittens from group of 10 =
=
=
for choosing (i) No male P(x=0) = P(Two female) =
=
(ii) 1 male P(x=1) = P(1 male and 1 female) = =
=
(iii) 2 male P(x=2)= P(2 male) = =
0 1 2
P(X=)
(b) what is expected number of male kittens chosen ?
Expected number of male kitten E(x) =
=
(c) what is standard deviation ?
No,
=
= ±