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
You can rearrange f(x) as:
f(x) = 3(x^2 + 3x) + 12 = 3(x+1.5)^2 +5.25
So you can see the vertex is at (0,5.25) when x = -1.5
The axis of symmetry then lies in x = -1.5
What are the angles?
if all of them are below 90 degrees, it is acute.
if one angle is 90 degress, it is right
if one angle is more than 90 degrees, it is obtuse
So we need have to understand that if we were to solve this, our answer would be 7 less than 'p' with that information we get p-7.
Answer:
363 feet
Step-by-step explanation:
The ratio of feet traveled per second is 33. You can find this by diving the original feet given by the time given. 330 divided by 10 is 33. So now you know how many feet is traveled in only a second of time. Qith this information, you can mutliply your ratio by 11 to find the feet traveled in 11 seconds. 33 times 11 is 363. Hope this helps :))
