Answer:
Step-by-step explanation:
41 + 4x = 7x + 5(Exterior angle theorem)
36 = 3x
Hence x = 12
Volume = 3.14xradius squared x height so it’s 3.14 x 6x6 x8 = 904.32
Answer:
Because it's not a quadratic function.
Step-by-step explanation:
Answer:
16, -8
Step-by-step explanation:
Let the terms of the geometric sequence be 
.
We know that 
and thus, 
.
This means 
and 
.
Answer:
P(R) = 0.14
P(I) = 0.16
P(D) = 0.315
Step-by-step explanation:
Let Democrat = D
Republican = R
Independent = I
If 45% are Democrats, 35% are Republicans, and 20% are independents, then
Total registered voters = 100
In an election, 70% of the Democrats, 40% of the Republicans, and 80% of the independents voted in favor of a parks and recreation bond proposal. That is,
D = 0.7 × 45 = 31.5
R = 0.4 × 35 = 14
I = 0.8 × 20 = 16
If a registered voter chosen at random is found to have voted in favor of the bond, what is the probability that the voter is
a Republican:
P(R) = 14 /100 = 0.14
an Independent
P(I) = 16/100 = 0.16
a Democrat
P(D) = 31.5/100 = 0.315
