Answer:
A) 3.5
B) 1.6202
Step-by-step explanation:
In binomial distribution,
E(X) = np and Var(X) = npq while
SD (X) = √(npq)
Where n is number of cards drawn
p is probability of getting one particular shape
q = 1-p
So from the question, n = 14
p = 13/52 = 1/4
q = 1-(1/4) = 3/4
So;
A) E(x) = np = 14 x 1/4 = 3.5
B) SD (X) = √(npq) = √(14 x 1/4 x 3/4) = √(42/16) = √2.625 = 1.6202
Answer:
Total amount of water = 5,200,000
Step-by-step explanation:
Given:
water produced = 50,000 quarts of water per week
Production drop = 5% = 0.05 per year
Number of week in year = 52 week
Find:
Total amount of water
Computation:
Sum = a / r
a = 50,000 x 52
a = 2,600,000
Sum = a / [1-r]
Sum = 2,600,000 / 5%
Sum = 2,600,000 / 0.05
Total amount of water = 5,200,000
Area=height times base (for some prisms including cylinders)
vcylinder=hpir²
h=height
therefor pir²=base area
vcylinder=height times aeraofbase
given
h=9
v=324pi
324pi=9(basearea)
divide both sides by 9
36pi=areabase
the area of te base is 36pi square cm (put 36 in the blank since th pi is alredy there)
Answer: The area is 5024 yrd^2
Step-by-step explanation:
80 is the diameter to we need to divide it by 2 to find the radius
80/2= 40
A= 3.14* 40^2
A = 3.14 * 1600
A= 5024
