0.008 would equal to 8/1000 while 0.08 would be 8/10. That would mean 0.008 is much smaller than 8/10. You use the idea of base 10.
To simplify fractions, all you have to do is divide both the numerator and the denominator by the greatest common factor of both integers.
In this case, the greatest common factor of 2 and 10 is 2.
2/2=1
10/2=5
So, 2/10 in its simplest form is 1/5.
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:
C
Step-by-step explanation:
A constant rate per week is b = 1.00
1.06 - 1.00 = 0.06
Move the decimal over 2 places to get 6% which is the share's value
Answer:
<em>x = 5</em>
Step-by-step explanation:
5(x + 4) - 8 = x + 32
5x + 20 - 8 = x + 32
5x + 12 = x + 32
5x - x + 12 = 32
5x - x = 32 - 12
4x = 32 - 12
4x = 20
x = 5
Hope this helped! :)
