Answer:
y = -2/5x -6
slope is -2/5
y intercept -6
Step-by-step explanation:
8x+20y=-120
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
Subtract 8x from each side
8x -8x+20y= -8x-120
20y = -8x - 120
Divide by 20
20y/20 = -8x/20 -120/20
y = -2/5x -6
Answer:
Step-by-step explanation:
The equation of a horizontal parabola in the standard form:
(h, k) - vertex
if a > 0, then open right
if a < 0, then open left
We have the vertrex (-1, -3) and the parabola is open left (a < 0).
Therefore the equation of a given parabola could be:
Answer:
ask google they know or go to tiger.com algebra they can help you answer it gives you the answer and how they got it
Step-by-step explanation:
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:
Have a great day
Step-by-step explanation:
=3 1/2÷1/4
=7/2×4
=7×2
=14
