Answer : 2880.68274 miles/hour
1 foot = 0.000189394 miles
4225 feet = 0.000189394* 4225 miles
distance traveled in 1 second = 0.000189394* 4225 miles
distance traveled in 1/3600 hours = 0.000189394* 4225 miles
distance traveled in 1 hour = 0.000189394* 4225 * 3600 miles
Speed is = 2880.68274 miles/hour
Because there are points and you can make a shape
Since, Ladder makes an angle 60
∘
with the floor as shown in figure.
∴ ladder makes 120
∘
angle with the positive direction of x-axis.
⇒ slope of ladder =tan120
∘
=tan(90
∘
+30
∘
)=−cot30
∘
=−
3
Nathan has an infection and he needs to be treated with penicillin
But there’s a 75% probability of him being allergic to penicillin
And to test if the skin reacts to penicillin, the test is 98% accuracy
So even if he has the allergy the test is only 98% accurate of identifying the allergy
Therefore we are asked to find the probability of both these events happening
Event 1 and event 2 both should happen then. When the ‘and’ function is used in probabilities then the probabilities of both events happening should be multiplied
Therefore probability that Nathan has the allergy and test predicts it is
= 75% x 98% = 0.735
The answer is D. 0.735
D (2,-8) is not a point on the graph
