Answer:

Option D
Step-by-step explanation:
Given that a producer ships boxes of produce to individual customers.(say x)
X is a normal random variable with mean = 36 and std dev =4 lbs
By definition of std normal variate we know that
is N(0,1)
75th percentile of std normal distribution is
0.675
Hence corresponding x would be

Option D matches with this value
Hence answer is option D

Answer:
y = x +2
Step-by-step explanation:
4y=4x+8
Slope intercept form is
y = mx+b so we need to solve for y
Divide each side by 4
4y/4 = 4x/4 +8/4
y = x +2
The slope is 1 and the y intercept is 2
Answer:
Step-by-step explanation:
The given graph is a straight line graph. The y axis represents the number of quarts of yellow paint that is mixed. The x axis represents the number of quarts of red paint that is mixed. We would write the required equation in the slope intercept form. The slope intercept form equation of a straight line is expressed as
y = mx + c
Where
m represents slope
c represents y intercept.
Slope = (y2 - y1)/(x2 - x1)
Slope = (2 - 1)/(5 - 2.5) = 1/2.5
Slope = 0.4
The straight line cuts the y axis at y = 0
It means that c = 0
Therefore, the equation is
y = 0.4x
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
We're told x=-5 and y=11 and asked to evaluate a few expressions. That just means substitute these values into the expressions and compute the exact numerical answer.
Answer: 94
x to the power of 3

Answer: -125
•6y to the power of 2
Probably means

Answer: 726

Answer: 35
•(y-x) to the power of 2

Answer: 256