Answer: 29.9
Step-by-step explanation:
We know that
1 m = 100 cm
4 m = 400 cm
Circumference of ball
= 3.14 x
= 13.37 cm
400 / 13.37
Answer:
Step-by-step explanation:
x-y=14
x-1/3y=1/10
-y=14-x
y=-14+x
take out the factors
x-10/30y=3/30
30x-10y=3
substitute
30x-10(-14+x)=3
30x+140-10x=3-140
20x/20=-137/20
x=-6.85
y=-14+(-6.85)
y=-20.85
Answer: 0.31 or 31%
Let A be the event that the disease is present in a particular person
Let B be the event that a person tests positive for the disease
The problem asks to find P(A|B), where
P(A|B) = P(B|A)*P(A) / P(B) = (P(B|A)*P(A)) / (P(B|A)*P(A) + P(B|~A)*P(~A))
In other words, the problem asks for the probability that a positive test result will be a true positive.
P(B|A) = 1-0.02 = 0.98 (person tests positive given that they have the disease)
P(A) = 0.009 (probability the disease is present in any particular person)
P(B|~A) = 0.02 (probability a person tests positive given they do not have the disease)
P(~A) = 1-0.009 = 0.991 (probability a particular person does not have the disease)
P(A|B) = (0.98*0.009) / (0.98*0.009 + 0.02*0.991)
= 0.00882 / 0.02864 = 0.30796
*round however you need to but i am leaving it at 0.31 or 31%*
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Answer:
at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground
Step-by-step explanation:
Data provided in the question:
height in feet above ground of a seat on the wheel at time t seconds is
modeled as
h(t) = 
now,
at height 53 above the ground, we get the equation as:
53 = 
or
= 53 - 53
or
= 0
also,
sin(0) = 0
and,
sin(π) = 0
therefore,
= 0
or
or
t = 8 seconds
and,
= π
or
or
or
t = 24 seconds
Hence,
the at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground
