We have

In order to obtain easily the table, we need to clear y

then we evaluate for values of x
if x=0
y=-4(0)+1=1
y=1
if x=1
y=-4(1)+1=-3
y=3
if x=2
y=-4(2)+1=-7
y=-7
if x=3
y=-4(3)+1=-11
y=-11
So the table for the given equation is
x y
0 1
1 -3
2 -7
3 -11
Answer:
120 cm^2.
Step-by-step explanation:
The area of one triangle = 1/2 * base * height
= 1/2 * 8 * 6
= 1/2 * 48
= 24 cm^2
So area of the pentagon = 5 * 24
= 120 cm^2.
The answer is A hope this helps
Answer:
44
Step-by-step explanation:
Since triangles are similar, so their corresponding sides would be in proportion.
Therefore,

Answer:
(a)
The probability that you stop at the fifth flip would be

(b)
The expected numbers of flips needed would be

Therefore, suppose that
, then the expected number of flips needed would be 1/0.5 = 2.
Step-by-step explanation:
(a)
Case 1
Imagine that you throw your coin and you get only heads, then you would stop when you get the first tail. So the probability that you stop at the fifth flip would be

Case 2
Imagine that you throw your coin and you get only tails, then you would stop when you get the first head. So the probability that you stop at the fifth flip would be

Therefore the probability that you stop at the fifth flip would be

(b)
The expected numbers of flips needed would be

Therefore, suppose that
, then the expected number of flips needed would be 1/0.5 = 2.