Step-by-step explanation:
x = number of novels
y = number of dictionaries
x = 8y
88x + 208y = 13680
now, using the identity of the first equation in the second equation gives us
88(8y) + 208y = 13680
704y + 208y = 13680
912y = 13680
y = 13680/912 = 15
x = 8y = 8×15 = 120
so, there were 120 novels and 15 dictionaries sold.
Answer:
32.8937 units
Step-by-step explanation:
So, we can imagine this as a right triangle with a length of 11 (THe change of the X's) and the height being 31 (Change of the Y's)
Then we use pythagorean therom to find the hypotenuse (the length)
11^2 + 31^2 = c^2
121+961 = C^2
1082 = c^2
32.8937units
B) If A x B = {(-1, 1), (-1, 2), (2, 1), (2, 2), (3, 1), (3, 2)}. Find A x A and B x B.
Oduvanchick [21]
hope this helps!
Step-by-step explanation:
A = {-1, 2, 3}
B = {1,2}
AxA = {(-1,-1) (-1,2) (-1,3) (2,-1) (2,2) (2,3) (3,-1) (3,2) (3,3)}
BxB = {(1,1) (1,2) (2,1) (2,2)}
Answer:
Expected value = 190
Variance = 4000
Step-by-step explanation:
Let X be the number of the trials until the third success of the bad pump.
This implies that X is a negative binomial distribution
having θ = 20% = 0.2.
Now, if for example it will take X trials to use up the three pumps, then the total time is 10 min/trials + extra 10 minutes for the 3 bad pumps
This means the total time is written as;
T = 10X + (10 + 10 + 20)
T = 10X + 40
Mean which is also expected value of X is;
μ_x = 3/0.2 = 15
Variance of X is; σ²_x = 40
Thus;
Mean of T will be;
μ_T = 10μ_x + 40
μ_T = 10(15) + 40
μ_T = 190
Also, variance of T will be;
σ²_T = 10²•σ²_x
σ²_T = 100 × 40
σ²_T = 4000
