Answer:
<u>If A and B are independent events, P(A and B) = P (A) * P (B)</u>
Step-by-step explanation:
Let's recall that independent events means that when one event occurs, it has no impact or influence on the probability of another event occurring. Here’s an example. Let’s say that we have two events, A and B.
Event A : it rains in Seattle
Event B : the Super Bowl match is cancelled in Miami
The two events are independent; if it rains in Seattle, this will have no impact on the probability that the Super Bowl match is cancelled in Miami. Raining in Seattle and the cancellation of the Super Bowl are independent events, therefore:
<u>P(A and B) = P (A) * P (B)</u>
Answer:
pi
Step-by-step explanation:
An irrational number cannot be expressed by two integers.
Answer:
60 miles
Step-by-step explanation:
In 1 week Zach will run
6* 5 = 30 miles
Multiply this by 2 for 2 weeks
30*2 = 60 miles
Answer:
Exact form : x = +_2 squareroot 11+5
Decimal form : x=11.63324958...,-1.63324958...
Step-by-step explanation: Use the formula (b/2)^2 in order to create a new term. Solve for x by using the term to complete the square.
I hope this helps you out! :)
Step-by-step explanation:
I am not sure what your problem here is.
you understand the inequality signs ?
anyway, to get
6×f(-2) + 3×g(1)
we can calculate every part of the expression separately, and then combine all the results into one final result.
f(-2)
we look at the definition.
into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?
is -2 < -2 ? no.
is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.
so, we have to use
1/3 x³
for x = -2 that is
1/3 × (-2)³ = 1/3 × -8 = -8/3
g(1)
again, we look at the definition.
into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?
is 1 > 2 ? no.
is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.
so we have to use
2×|x - 1| + 3
for x = 1 we get
2×0 + 3 = 3
6×f(-2) = 6 × -8/3 = 2× -8 = -16
3×g(1) = 3× 3 = 9
and so in total we get
6×f(-2) + 3×g(1) = -16 + 9 = -7
