Answer:
<h3>20feet</h3>
Step-by-step explanation:
Initial height of the ball = 8feet
If it bounces 60% of its previous height, its new height will be;
60% of 8
= 60/100 * 8
= 480/100
= 4.8 ft
If it bounces 60% of its current distance, new height will be expressed as;
60% of 4.8
= 0.6 * 4.8
= 2.88
The height of the ball will keep reducing and form a geometric progression of the form 8, 4.8, 2.88...
In order to get the total distance traveled by the ball, we need to calculate the sum to infinity of the sequence;
S∞ = a/1-r where;
a is the first term = 8
r is the common ratio
Substitute into the formula;
S∞ = a/1-r
S∞ = 8/1-0.6
S∞ = 8/0.4
S∞ = 20feet
Hence the total distance traveled by the ball is 20feet
Answer:
a) H0 = 15 m, is the initial height, the height of the rocket at time 0 s.
b) ![D=[0,5]](https://tex.z-dn.net/?f=D%3D%5B0%2C5%5D)
c) ![R=[0,35]](https://tex.z-dn.net/?f=R%3D%5B0%2C35%5D)
Step-by-step explanation:
a) H0 is the initial height. It means the height of the rocket at time 0 s.
This value is 15 m.
b) The domain is all values of t between 0 and 5 seconds.
c) The range is all values of height from 0 to 35 meters.
I hope it helps you!
Answer: 119
Step-by-step explanation:
Since the prior estimate of population proportion of defective handles (p) is unknown , so we take p= 0.5
Given : Margin of error : E=0.09
Critical value for 95% confidence interval : 
Required sample size :-
Hence, the minimum sample size required = 119
i.e. 119 handles from the shipment should be inspected.
Answer:
47 degrees
Step-by-step explanation:
half of a circle is 180
180-133=47
