Answer:
(b)0.56
(c)0.38
Step-by-step explanation:
(a)
P(Ben Pass) =0.8
Therefore: P(Ben fails)=1-0.8 =0.2
P(Tom Pass) =0.7
Therefore: P(Tom fails)=1-0.7 =0.3
See attached for the completed tree diagram
(b)Probability that both will pass
P(both will pass)=P(Ben pass and Tom pass)
=P(Ben pass) X P(Tom pass)
=0.8 X 0.7
=0.56
(c)The probability that only one of them will pass
Since either Tom or Ben can pass, we have:
P(only one of them will pass)
=P(Ben pass and Tom fails OR Ben Fails and Tom Pass)
=P(Ben pass and Tom fails)+P(Ben Fails and Tom Pass)
=(0.8 X 0.3) + (0.2 X 0.7)
=0.24 + 0.14
=0.38
Answer:
<em>y = - </em>
<em> x + 3 </em>
Step-by-step explanation:
y = mx + b
m =
and "b" is y-intercept with coordinates (0, b)
(0, 3) ⇒ <u><em>b = 3</em></u>
(4, 1), (6, 0)
m =
= -
<em>y = - </em>
<em> x + 3</em>
We Know, Circumference of Circle = 2πr
Here, r = 18
Substitute it in to the expression,
C = 2π(18) = 36π
So, your final answer is 36π
Hope this helps!