...................it is 1 pound .......................
Answer:
The maximum height of the second pluck is greater than that of the first pluck, hence the second pluck travels further
Also the distance of the maximum height of first pluck from the player is less than the distance of the second pluck from the player hence the second pluck travels further
Step-by-step explanation:
From the question we are told that
The maximum height of the first pluck is 
The height of the second height is mathematically represented as

=> 
Generally at maximum height 
So

=> 
Here 75 ft is the horizontal distance the second pluck traveled at maximum height
So the maximum height of the second pluck is mathematically represented as

=>
So comparing the maximum height of the first and the second pluck we see that the maximum height of the second pluck is greater than that of the first pluck, hence the second pluck travels father
<span>The simulations have different theoretical probabilities of a 3-child family having exactly one girl, and the experimental probabilities they generate may differ.</span>
Answer:
The probability that the student will select a card that has both the same number in the ones place in the tens place is 0.08
Step-by-step explanation:
To solve this exercise we have to know that the probability is calculated by dividing the number of favorable events by the number of possible events.
f = favorable events
we will count how many numbers between 1 and 50 have the same number in the ones place in the tens place
11 ; 22 ; 33 ; 44
as we can see there are 4 numbers
f = 4
p = possible events
the number of possible events is given by the number of cards in the deck
p = 50
4/50 = 0.08
The probability that the student will select a card that has both the same number in the ones place in the tens place is 0.08
Given the equation modeling Eva's height at time,t. To evaluate if she will reach height of 14 ft, we evaluate maximum height that she will reach.
At maximum height h'(t)=0
but
h(t)=-16t^2+20t+6
h'(t)=-32t+20=0
solving for t we get:
-32t=-20
t=20/32
t=5/8
thus the maximum height reached was:
h(5/8)=-16(5/8)^2+20(5/8)+6
h(5/8)=12.25 ft
Thus we conclude that she won't reach the height of 14 ft because her maximum height was 12.25 ft