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Answer:
initial velocity = 64 m/s
Step-by-step explanation:
Differentiate H = 64t - 16t² to find an equation for velocity:
Velocity = 
= 64 - 32t
Initial velocity (u) is when t = 0:
u = 64 - 32(0)
⇒ u = 64 - 0
⇒ u = 64 m/s
Since
, we know that
follows a Poisson distribution with parameter
.
Now assuming
denote the mean and standard deviation of
, respectively, then we know right away that
and
.
So,
Answer:
4 people name chocolate
Step-by-step explanation:
Let's first understand the given information.
The survey shows that 40 percent of a finite number of people name chocolate as their favorite flavor of ice cream. Because the survey is reporting a percentage, then 40% means that from 100 people 40 people name chocolate, while the others name a different type of flavor.
Dividing the total of people (100) by the ones who name chocolate (40) then we have:
100/40 = 2.5
Through the above equation we are actually expressing the following:
Total people = 2.5 * (people who name chocolate flavor)
Using this equation if we have now 12 people:
12 = 2.5 * (people who name chocolate flavor)
12/2.5 = (people who name chocolate flavor)
4.8 = people who chose chocolate flavor
Because we can't have 0.8 of a person, then if we have a sample of 12 people, we will expect that 4 of them name chocolate.
Let x = number of adults tickets sold
then, 1750 - x = number of children tickets sold
We know that the cost for adult tickets is $5 and and children is above calculated so sum total tickets sold cost is $7100.
($5)(x) + ($2)(1750-x) = $7100
5x - 2x + 3500 = 7100
3x = 3600
x = 1200
