Our first expression is equal to zero:

So we simply find the expression that is equal to zero.
The final answer is a.
Answer: 0.96875
Step-by-step explanation:
Probability of obtaining at least one tail on a toss of coin 5 times ;
P(success) in a coin toss = 1/2 = 0.5
Using the binomial distribution formula :
P(x) = nCx * p^x * (1 - p)^(n-x)
P(at least one tail) = 1 - p(0 tails)
P( 0 tails) = 5C0 * 0.5^0 * 0.5^(5-0)
= 1 * 1 * 0.03125
= 0.03125
P(at leat 1 tail) = 1 - 0.03125
P(atleast 1 tail) = 0.96875
Answer:
The area of the regular octagon is 
Step-by-step explanation:
we know that
The area of the regular polygon is equal to

where
P is the perimeter of the regular polygon
a is the apothem
<em>Find the perimeter P</em>

Find the area

Answer: you travelled 10 km
Step-by-step explanation:
Pam jogged up the hill at 6 km/h.
Let x represent the number of kilometers that you travelled by jogging up the hill or returning back.
Time = Distance/speed
Pam jogged up the hill at 6 km/h.
Time spent in jogging up the hill would be
x /6
She then jog back down the hill at 10 km an hour. Time spent in jogging down the hill would be
x /10
If the total jogging tie is 1 hour 20 minutes, converting to hours, it becomes 1 + 20/60 = 1.33
Therefore
x /6 + x/10 = 1.33
10x + 6x = 80
16x = 80
x = 80/16 = 5
Total distance travelled up and down the hill would b
5 × 2 = 10 km