Let events
A=Nathan has allergy
~A=Nathan does not have allergy
T=Nathan tests positive
~T=Nathan does not test positive
We are given
P(A)=0.75 [ probability that Nathan is allergic ]
P(T|A)=0.98 [probability of testing positive given Nathan is allergic to Penicillin]
We want to calculate probability that Nathan is allergic AND tests positive
P(T n A)
From definition of conditional probability,
P(T|A)=P(T n A)/P(A)
substitute known values,
0.98 = P(T n A) / 0.75
solving for P(T n A)
P(T n A) = 0.75*0.98 = 0.735
Hope this helps!!
Answer:
8 years
Step-by-step explanation:
Let age of father be f
age of John be j
age of Alice be a
John's father is 5 times as old as John. We can write:
f = 5j
John is twice as old as Alice. We can write:
j = 2a
or
a = j/2
SUM OF ALL OF THEIR AGES (after 2 years) will be 58. We can write:
f+2 + j+2 + a+2 = 58
This becomes:
f + j + a + 6 = 58
f + j + a = 52
Now, we replace third equation with the first two (in bold) and get:
So John is 8 years old
Answer: The answer would be 17/10.
Step-by-step explanation: You would divide Marvin's miles by Nathan's miles to find your answer.
Answer:
- proportional: A, B, D, G, I
- non-proportional: C, E, F, H
Step-by-step explanation:
Any relation with a non-zero initial value or y-intercept is non-proportional. Any relation that has a constant ratio between output and input is proportional.
C has an initial value of 7
E has a y-intercept of -3
F has an initial value of 2.00
H has an initial value of 5
All of these are non-proportional. The remainder are proportional.
The speed is the distance covered by an object at a particular time. It will take Max 10.6 hours to catch up with Rachel.
<h3>What is speed?</h3>
The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
Speed = Distance / Time
Given that Max leaves Las Vegas one hour after Rachel leaves. Also, the speed at which Rachel is travelling is 53 miles per hour. Therefore, the distance covered by Rachel in one hour is,
Distance covered by Rachel = 1 hour × 53 miles per hour = 53 miles
Now, the distance between Max and Rachel is 53 miles. Therefore, the time it will take Max to reach Rachel can be found as,
Time needed to catch up with Rachel = Distance / relative speed
Time = 53 miles / (58 mph - 53 mph)
= 53 miles / 5 mph
= 10.6 hours
Hence, it will take Max 10.6 hours to catch up with Rachel.
Learn more about Speed here:
brainly.com/question/15100898
#SPJ1
