Answer: 5
Step-by-step explanation: add 5 on each side and you get -50 then divide -5/2 with -50 and get 5
Answer:
p= 44
/9
(44 over 9)
Step-by-step explanation:
The answer would be A because you would just plug in 2 everywhere where you see x
We should first calculate the average number of checks he wrote
per day. To do that, divide 169 by 365 (the number of days in a year) and you get (rounded) 0.463. This will be λ in our Poisson distribution. Our formula is

. We want to evaluate this formula for X≥1, so first we must evaluate our case at k=0.

To find P(X≥1), we find 1-P(X<1). Since the author cannot write a negative number of checks, this means we are finding 1-P(X=0). Therefore we have 1-0.3706=0.6294.
There is a 63% chance that the author will write a check on any given day in the year.<em />
Answer:
∠ A = 35°, ∠ B = 70°, ∠ C = 75°
Step-by-step explanation:
let ∠ A be x then ∠ B is 2x ( twice as large as A ) and
∠ C is 2x + 5 ( 5 more than B )
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
x + 2x + 2x + 5 = 180, that is
5x + 5 = 180 ( subtract 5 from both sides )
5x = 175 ( divide both sides by 5 )
x = 35
Thus
∠ A = x = 35°
∠ B = 2x = 2 × 35° = 70°
∠ C = 2x + 5 = 70 + 5 = 75°