155-35= 120 (you subtract 35 so you get the number if both plays lasted the same time )
120/2= 60 (you get the amount of time one play lasted without extra 35 minutes)
60+35=95 (then add 35 minutes to one play because 1 one is longer than the other one)
the first half of the play is 95 minutes long.
Answer:
10.6. (3s.f.)
Step-by-step explanation:
Answer:
Tn=12n(n+1)
Step-by-step explanation:
Explanation:
These are the triangular numbers - each term in the sequence being the sum of the first n positive integers:
T1=1=1
T2=3=1+2
T3=6=1+2+3
etc.
Notice that:
2Tn=(0)+1+(0)+2+...+(n−1)+(0)+n
2Tn+(0)+n+(n−1)+...+(0)+2+(0)+1
2Tn=(n+1)+(n+1)+...+(n+1)+(n+1)
2Tn=n(n+1)
So:
Tn=12n(n+1)
Answer:
A) 1/12
Step-by-step explanation:
The sample space of rolling a die is { 1,2,3,4,5,6}
P (getting 3)= The number of "3"'s in the sample space over the number of items in the sample space
P (getting a 3} = 1/6
P (getting even)= The number of evens in the sample space over the number of items in the sample space
P (getting an even} = 3/6= 1/2
Since these are independent events, we multiply the probabilities
P(3, even) = 1/6 * 1/2 = 1/12
Answer:
Step-by-step explanation:
The area of a circle is given by 
where 
is the radius of the circle. The diameter is given as 
feet, so the radius of this circle is 
feet.
Plugging in our values, we get:
.
