Answer: 46.90mins
Step-by-step explanation:
The given data:
The diameter of the balloon = 55 feet
The rate of increase of the radius of the balloon when inflated = 1.5 feet/min.
Solution:
dr/dt = 1.5 feet per minute = 1.5 ft/min
V = 4/3·π·r³
The maximum volume of the balloon
= 4/3 × 3.14 × 55³
= 696556.67 ft³
When the volume 2/3 the maximum volume
= 2/3 × 696556.67 ft³
= 464371.11 ft³
The radius, r₂ at the point is
= 4/3·π·r₂³
= 464371.11 ft³
r₂³ = 464371.11 ft³ × 3/4
= 348278.33 ft³
348278.333333
r₂ = ∛(348278.33 ft³) ≈ 70.36 ft
The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)
The time for the radius to increase to the
above length
Time taken for the radius to increase the length.
= is 70.369 ft/(1.5 ft/min)
= 46.90 minutes
46.90mins is the time taken to inflate the balloon.
Answer:
m=3/4
Step-by-step explanation:
See the attached above.
Hope it helps :)
The two characteristics that makes the median a better choice are: A. The data are skewed and there are outliers.
<h3>What Characteristics of a Dot Plot Makes Median a Better Choice?</h3>
In a data distribution, the median is a better choice to use to describe the data over the mean when an outlier exist and the data is skewed.
IN the dot plot given below, the data has an outlier of 10 while the data distribution is also screwed, this makes the median a better choice.
Therefore, the answer is: A. The data are skewed and there are outliers.
Learn more about the median on:
brainly.com/question/16800683
#SPJ1
Answer:
Step-by-step explanation:
here you go!!
