Answer:
roots: 1 and 3
k = 3
Step-by-step explanation:
2 roots: p and p+2
(x-p) (x-p-2) = x² - 4x + k
x² -2px -2x + p² + 2p = x² - 2 (p+1)x + (p² + 2p) = x² -4x + k
-2 (p+1) = -4
p+1 = 2
p = 1 ... root 1
p' = 1+2 = 3 ... root 2
k = p² + 2p = 3
check: (x-1) (x-3) = x² - 4x + 3 = x² - 4x + k
Answer:
n=-2
Step-by-step explanation:
1−(2n+9)=4(1−2)
1+−1(2n+9)=4(1−2)
1+−1(2n)+(−1)(9)=4(1−2)
1+−2n+−9=4(1−2)
1+−2n+−9=−4
(−2n)+(1+−9)=−4
−2n+−8=−4
−2n−8=−4
−2n−8+8=−4+8
−2n=4
Divide both sides by -2
-2n/2=4/-2
n=-2
Answer:
0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
In which is the decay parameter.
The probability that x is lower or equal to a is given by:
Which has the following solution:
The probability of finding a value higher than x is:
Mean of 4 minutes
This means that
Find the probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot:
This is:
In which
0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.
Answer:
11 units
Step-by-step explanation:
simply subtract -3 from 8, which is the same as adding 3 and 8, so the answer is 11 units.