Answer:
Every gallon costs $4.20
Step-by-step explanation:
If you divide the money he spent and the gallons he needed, you come up with a total price of $4.20 a gallon. For the amounts of gallons he could get with $40 bucks, he would have 9.5 gallons, as you just need to divide 40 by 4.2. I hope this helps :)
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
First find 60% of 145 =
60% of 45 equals 87.
Now subtract 87 from 145.
145 - 87 = 58
So there were 58 girls.
Answer:
y =-5x + 7
Step-by-step explanation:
y = -5x + 4
Slope = -5
Parallel lines have same slope
Slope of the parallel line to this line = -5
(1 , 2)
y -y1 =m(x - x1)
y - 2 = -5(x - 1)
y -2 = -5x + 5
y = -5x + 5 + 2
y = -5x + 7
Answer:
9.6p + 0.4q + 2.2r meters (answer A)
Step-by-step explanation:
We sum up the three side lengths to obtain the perimeter of the triangle:
(6.2p + 4.5q) meters, , and (2.9r – 4.1q) meters
+ (3.4p – 0.7r) meters
+ (2.9r – 4.1q) meters
---------------------------------
9.6p + 0.4q + 2.2r meters (answer A)
