Answer:
According to the sample data, we can claim that the current satisfaction rate is different from last year's.
Step-by-step explanation:
The explanation is in the picture.
To find slope, y2-y1/x2-x1
9-6/-3-(-9)=
3/6= 1/2
Slope = 1/2.
Y=1/2x.
Answer:
34
Step-by-step explanation:
Answer:
25 = x
Step-by-step explanation:
If the angles are congruent, they are equal
5x+15 = 6x-10
Subtract 5x from each side
5x+15 -5x = 6x-5x-10
15 = x-10
Add 10 to each side
15+10 = x-10+10
25 = x
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
