Answer:
Step-by-step explanation:
if we use the distributive Property to evaluate the expression it will be
-12(6+4)
-12*6=-72
-12*4=-42
now we add both of them (-72+-42 is -120)
Answer:
The probability is 0.3576
Step-by-step explanation:
The probability for the ball to fall into the green ball in one roll is 2/1919+2 = 2/40 = 1/20. The probability for the ball to roll into other color is, therefore, 19/20.
For 25 rolls, the probability for the ball to never fall into the green color is obteined by powering 19/20 25 times, hence it is 19/20^25 = 0.2773
To obtain the probability of the ball to fall once into the green color, we need to multiply 1/20 by 19/20 powered 24 times, and then multiply by 25 (this corresponds on the total possible positions for the green roll). The result is 1/20* (19/20)^24 *25 = 0.3649
The exercise is asking us the probability for the ball to fall into the green color at least twice. We can calculate it by substracting from 1 the probability of the complementary event: the event in which the ball falls only once or 0 times. That probability is obtained from summing the disjoint events: the probability for the ball falling once and the probability of the ball never falling. We alredy computed those probabilities.
As a result. The probability that the ball falls into the green slot at least twice is 1- 0.2773-0.3629 = 0.3576
Answer the following:
A) Which function has the higher initial amount of bacteria? g(x) or f(x)
B) Which function has the greater amount of bacteria after two days? g(x) or f(x)
Answer:
A. The function f(x) has the higher initial amount of bacteria.
B. The function g(x) has the higher amount of bacteria after two days.
Step-by-step explanation:
The given function is
The graph of g(x) passing through the points (0,1000) and (1,3000). So the initial value is 1000 and the growth factor is 3.
The function g(x) is
Part A:
Substitute x=0, to find the initial blue of the functions.
Since 2000>1000, therefore the function f(x) has the higher initial amount of bacteria.
Part B:
Substitute x=2, to find the amount of bacteria after two days.
Since 8000<9000, therefore the function g(x) has the higher amount of bacteria after two days.
2 + H = 7.50 ( H is the # of hours after the 1st hour)
2 + H = 7.50
(-2 from both sides)
——————-
H = 5.50
5.50 plus the first hour equals 6.5 hours
He can park there for 6 and a half hours