Answer:
4.47
Step-by-step explanation:
a^2+b^2=c^2
2^2+4^2=c^2
4+16=c^2
20=C^2
=
4.47=c
Given: AD diameter of circle P. m AB + m BC = measure of A)minor arc AC B) major arc AC
2 answers:
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Answer:
a) Expected value = 6.406
Variance = 4.905
Standard deviation = 2.45
b) The probability is 0.08547
Step-by-step explanation:
a) Let's suppose that:
X₁ = number of 6´s
X₂ = number of Jack, Queen, King or Aces
The mean of X₁ is:
MeanX₁ = n * p = 20 * (1/6) = 3.33
The variance of X₁ is:
The mean of X₂ is:
MeanX₂ = 10 * (16/52) = 3.076
The variance of X₂ is:
The expect value of X is:
Xexp = MeanX₁ + MeanX₂ = 3.33 + 3.076 = 6.406
The variance of X is:
VarX = VarX₁ + VarX₂ = 2.775 + 2.13 = 4.905
The standard deviation is:
Xdevi = 4.905/2 = 2.45
b) The probability of drawing at least five six out of 20 rolls is equal to:
∑(1/6)ˣ(5/6)²⁰⁻ˣ = 0.231 with x = 5
The probability of at least 4 Jack, Queen, Kings or Aces is:
∑(16/52)ˣ(1-(16/52))¹⁰⁻ˣ = 0.37 with x = 4
The probability of given event is equal to:
P = 0.231 * 0.37 = 0.08547
Answer is : 8v^3+ 14v^2+11v+3
For cubic feet
Solution
Formula : volume base area x height
So base area = 4v^2 +5v+3
Height = 2v+1
So multiply
Volume =(4v^2+5v+3) x(2v+ 1)
The rest is below
For cubic feet
Solution
Formula : volume base area x height
So base area = 4v^2 +5v+3
Height = 2v+1
So multiply
Volume =(4v^2+5v+3) x(2v+ 1)
The rest is below