Answer:
It's A.
Step-by-step explanation:
Because whatever goes into the absolute value symbol, it'll turn out positive. And real numbers could only be positive.
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:
<em>Eunice 3510; Suin 7020</em>
Step-by-step explanation:
<em>Eunice bought 585 beads.</em>
<em>Jennifer bought 6 times more than Eunice</em> but half of the total of beads Suin bought.
Eunice: 6 * 585 = 3510
Jennifer bought 6 times more than Eunice but <em>half of the total of beads Suin bought.</em>
<em>Suin: 3510 * 2 = 7020</em>
Answer:
Step-by-step explanation:
R = 3x + 9y
They told us that R = 7, y = 6
So you can rewrite the equation as:
R = 3x + 9y
7 = 3x + 9(6)
7 = 3x + 54
Subtract 54 from both sides.
7 - 54 = 3x
-47 = 3x
To find x, you need to divide both sides by 3
3x = -47
x = -47/3
Answer:
2
Step-by-step explanation:
The slope (m) can be found using the formula ...
m = ∆y/∆x = (y2 -y1)/(x2 -x1)
= (1 -(-5))/(4 -1) = 6/3
m = 2
The slope of the line is 2.
