Answer:
Option 4
Step-by-step explanation:
The volume of a cylinder is going to be the area of the base (which is a circle) times the height. if you have cylindrical mug, then you can use the base area×height relationship, but it won't be exact because some of the volume is going to be used for the walls of the mug itself.
Anyways:
Volume = Base Area × Height
•Base Area -> Circle = π×radius²
•Height is given as 7in.
Volume = π×(6.2in)² × 7in = 845.33975...
Volume is in units cubed (the 3rd power) which is where the in³ is from. Your closest option here looks to be the 4th choice.
Answer:
If all you care about is whether you roll 2 or not, you get a Binomial distribution with an individual success probability 1/6. The probability of rolling 2 at least two times, is the same as the probability of not rolling 2 at zero or one time.
the answer is, 1 - bin(k=0, n=4, r=1/6) - bin(k=1, n=4, r=1/6). This evaluates to about 13%, just like your result (you just computed all three outcomes satisfying the proposition rather than the two that didn’t).
Step-by-step explanation:
Answer:
1. 600 watts
2. 35640 J
3. 55%
4. 20 J
5. The cost of running the fire is 8p.
Step-by-step explanation:
1. Energy = 36 000 J , t = 1 minute = 60 seconds
Power = 
= 
= 600 watts
2. Power = 
⇒ work done = Power × time
= 99 × 360
= 35640 J
3. Efficiency = (Output / Input) × 100
=
× 100
= 55%
4. Work done = Force × distance
= 5 × 4
= 20 J
5. Given that 1 KWh cost 2p, Power = 4 KW and time = 4 hours.
Power = 
Energy = Power × time
= 4 × 4
= 16 KWh
The cost of running the fire = 
= 8p
The height is increasing at the rate of (6/5π) ft/min.
It is given that Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min. Also, its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal.
For this, we need to find the volume of a cone. Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
The volume of a cone is - V=1/3hπr²
Learn more about integers here: brainly.com/question/20521181
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Answer:
8
Step-by-step explanation:
500/(2*(4.4*3.2+3.2*2+2*4.4)) = 8.5382513661