Answer: Andrew = 20
Jimmy = 25
Richard = 100
Step-by-step explanation:
Let the number of Andrew's comic books be y.
Jimmy has five more comic books than Andrew. This means Jimmy has: y+5
Richard has four times as many comic book as jimmy. This means Richard has: 4(y+5) = 4y + 20
Since there are 145 comic books together. This can be rewritten as:
y + (y+5) + (4y+20) = 145
6y+25 = 145
6y = 145 - 25
y = 120/6
y = 20
Andrew has 20 comic books
Jimmy has five more comic books than Andrew. Jimmy has: 20+5 = 25
Richard has: 4y + 20 = 4(20) + 20 = 100
Whisper-20dB
Quiet Residence-30dB
Soft stereo in Residence-40dB
Average Speech-60dB
Cafeteria-80dB
Pneumatic Jackhammer-90dB
Loud crowd noise-100dB
Accelerating Bike-100dB
Rock concert-120dB
Jet Engine (75 ft away)-140dB
(1)Mode=100dB (since 100 is occurring the maximum no. of times, i.e. it has the highest frequency of 2)
(2)Mean=sum of observations/Total number of observations
=(20+30+40+60+80+90+100+100+120+140)/10
=770/10=10dB
(3)Median= 1/2[{n/2}th observation + {(n/2)+1}th observation], where, n=total no. of observations
So, 1/2[{10/2}th observation + {(10/2)+1}th observation]
=1/2[5th observation+6th observation]
=1/2[80+90] [Because:5th observation=80dB and 6th=90dB]
=1/2(170)
=85
Therefore, median=85dB
Given:
The volume of the sphere = 12348π in³
To find the radius of the sphere.
Formula
The volume of a sphere of radius r is
According to the problem,
Eliminating π from both the side.
or, 
or, 
or, 
or, ![r=\sqrt[3]{9261}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B9261%7D)
or, 
Hence,
The radius of the sphere is 21 inches.
