A class is made up of 10 boys and 4 girls. Half of the girls wear glasses. A student is selected at random from the class. What
1 answer:
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Answer:
Rate of change of the diameter is equal to 0.053cm/min
Step-by-step explanation:
A snowball is of the shape of a sphere
Surface area of Sphere (S)=
Rate of change of surface area
dS/dt = -4
the negative sign indicates the surface area is decreasing.
Radius = d/2 where d represents diameter
using this is the surface area equation
S =
=
dS/dt = 2*pi*d*d(d)/dt
4 = 2*pi*d*(d)/dt
d(d)/dt = 2/12*pi= cm/min
so the rate of change of the diameter is equal to 0.053cm/min
Answer:
And we can use the cumulative distribution function given by:
And for this case we can write the probability like this:
And then the final answer for this case would be
Step-by-step explanation:
For this case we define our random variable X "price of gasoline for a city in the USA" and we know the distribution is given by:
And for this case the density function is given by:
And we want to calculate the following probability:
And we can use the cumulative distribution function given by:
And for this case we can write the probability like this:
And then the final answer for this case would be