If 9 is the radius and 20 is the height then it would be 5089.4 cm^3
2 and 3/4 is a mixed number and the decimal of it is 2.75
Answer:
Step-by-step explanation:
40% of 780 = 312.
780- (312+180)
= 288
Answer:
For first lamp ; The resultant probability is 0.703
For both lamps; The resultant probability is 0.3614
Step-by-step explanation:
Let X be the lifetime hours of two bulbs
X∼exp(1/1400)
f(x)=1/1400e−1/1400x
P(X<x)=1−e−1/1400x
X∼exp(1/1400)
f(x)=1/1400 e−1/1400x
P(X<x)=1−e−1/1400x
The probability that both of the lamp bulbs fail within 1700 hours is calculated below,
P(X≤1700)=1−e−1/1400×1700
=1−e−1.21=0.703
The resultant probability is 0.703
Let Y be a lifetime of another lamp two bulbs
Then the Z = X + Y will follow gamma distribution that is,
X+Y=Z∼gamma(2,1/1400)
2λZ∼
X+Y=Z∼gamma(2,1/1400)
2λZ∼χ2α2
The probability that both of the lamp bulbs fail within a total of 1700 hours is calculated below,
P(Z≤1700)=P(1/700Z≤1.67)=
P(χ24≤1.67)=0.3614
The resultant probability is 0.3614
Answer:
x = 5/7
Step-by-step explanation:
4 (0.25 - 2) = x - 0.75 (16 - 8x)
1 - 8 = x - 12 + 6x
1 - 8 + 12 = x + 6x
5 = 7x
5/7 = x
