In ACME PUBLISHING SWEEPSTAKES, the chance of winning a car is 1 in 1,000. What percent of tickets to ACME PUBLISHING SWEEPSTAKE
1 answer:
Answer:
0.1% of tickets to ACME PUBLISHING SWEEPSTAKES win a car
Step-by-step explanation:
Given :The chance of winning a car is 1 in 1,000.
To Find : What percent of tickets to ACME PUBLISHING SWEEPSTAKES win a car?
Solution:
The chance of winning a car is 1 in 1,000.
The percent of tickets to ACME PUBLISHING SWEEPSTAKES win a car:
=
=
=
Hence 0.1% of tickets to ACME PUBLISHING SWEEPSTAKES win a car.
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Answer:
Step-by-step explanation:
find the composition of g(x)=x−1 and h(x)=
hence we will get,
(g∘h)(x)=g(h(x))= g(x−1)= f(√x)= -1+√x = √x -1
Now to find f(g(h(x))),
f(x)=x4+6 and g(h(x))=√x -1
hence , putt g(h(x)) in f(x) ,
f(g(h(x)))=+6 -
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Answer:
69.92°F
Step-by-step explanation:
Given:
Initial temperature ( i.e at time, t = 0) = 40°F
Temperature of the room = 70°F
Temperature after 10 minutes ( i.e at time t = 10 ) = 48°F
Now, from Newton's law of cooling
T'(t) = k(A - T(t))
T(t) temperature after time t
T'(t) =
here, A is the room temperature
thus,
= k(70 - T)
or
= kdt
on solving the differential equation, we get
T = ............(1)
Now from the boundary conditions,
i.e at time, t = 0; T = 40°F
we get,
40 =
or
C = 30
and,
at time, t = 10; T = 48°F
thus,
48 =
or
k =
or
k = 0.03
Therefore,
for t = 25
from 1 we have
T =
or
T = 70 - 0.0780
or
T = 69.92°F