So I'm guessing that the unknowns here would be the number of postcards and letters that the couple sends to each other. So let's represent a letter with L and a postcard with the letter P. To get the equation of henry and isobel, you just need to plot the variables and the numbers. So the equation of henry is L + P = 150 because he only sent one letter and one postcard that made a total of 150. Isobel's equation is 5P + L =390 because isobel sent five postcards hence 5P, and one letter to make a total cost of 390.
Answer:
a) 0.1353
b) 0.3679
Step-by-step explanation:
Let's start by defining the random variable T.
T : ''The time (in hours) required to repair a machine''
T ~ exp (λ)
T ~ exp (1)
The probability density function for the exponential distribution is
(In the equation I replaced λ = L)
With L > 0 and x ≥ 0
In this exercise λ = 1 ⇒
For a)
For b)
The event (T ≥ 10 / T > 9) is equivalent to the event T ≥ 1 so they have the same probability of occur
Answer:
PROBABLY ABOUT 27 OR 26.6666666667
Answer:
3
Step-by-step explanation:
Step 1: Define
f(x) = 6ˣ - 4x
g(x) = 1/2x + 10
f(2) is x = 2
g(-2) is x = -2
Step 2: Find f(2) and g(-2)
f(2) = 6² - 4(6)
f(2) = 36 - 24
f(2) = 12
g(-2) = 1/2(-2) + 10
g(-2) = -1 + 10
g(-2) = 9
Step 3: Find f(2) - g(-2)
12 - 9 = 3