Answer:
1) 0.1667
2) 0.8333
3) 1
Step-by-step explanation:
Let A be the event that 3 is observed on the first trial.
Let B be the event that at least two trials are required to observe a 3
a) A six-sided die has 6 possible outcomes of 1,2,3,4,5,6
3 is one of the six possible outcomes
P(A) = no of favourable outcomes /no of possible outcomes
P(A) = 1/6 = 0.1667
b) The event of requiring at least two trials to observe a 3 is the event of not observing a 3 on the first trial.
P(B) = P(A')
P(A')= 1 - P(A)
P(B) = 1 - 1/6
= 5/6 = 0.8333
c) P(AnB) = P(A) + P(B)
= 1/6 + 5/6
= 6/6 = 1
Answer:
1587.6 m²
Step-by-step explanation:
where b is the base length and h is the height (b and h on the triangle will always be perpendicular to each other)
Plug in 75.6 m as b and 42 m as h
I hope this helps!
Ans67
Step-by-step explanation:
Answer:
(14, -2)
Step-by-step explanation:
To solve by using substitution, begin by solving for a variable in the first equation. Let's solve for x:
Now we know what <em>x</em> equals. Let's substitute this into the second equation:
We can then simplify:
Given equation
Combine y terms
Add 2
Divide by -11
So, we now know the value of y = -2.
To find the value of X, we can substitute the value of Y into one of the equations. Let's use the first one:
Substitute for y
Distribute 8
Add 16
So, we now know the value of x = 14.
Therefore, we know a solution to the system of equations is (14, -2).
Answer:
a) t=b-5 b) j=b+3+2
Step-by-step explanation:
t is tina, we don't know how much Ben scored so we use b, then subtract 5 because tina got 5 less. same thing for Juan but we add the 3 points he got more than Ben and the 2 extra credit points
