The difference between masses of both cones is: 838 grams
Step-by-step explanation:
As both cones have same height and radius. Both will have same volume
Here
r=4 cm
h= 10 cm
The volume is given by:

Putting values

Mass of Steel Cone:

Mass of Granite Cone:

Difference between masses of both cones

Rounding off to nearest gram: 838 grams
The difference between masses of both cones is: 838 grams
Keywords: Volume, Mass
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So basically you just add the like terms to simplify the equation. You have 5q-p+p+1 you can cancel out the both p’s because one is negative and one is positive. That leaves you with 5q + 1 they are not like terms so you cannot simplify them so your simplified equation is 5q +1
Answer: The required probability is 0.1328.
Step-by-step explanation:
Since we have given that
n = 5
Probability of success = p = defective rate = 3% = 0.03
Probability of failure = q = 1-p = 1 - 0.03 = 0.97
So, we will use "Binomial distribution":
probability that the first defective occurs in the fifth item inspected would be

Hence, the required probability is 0.1328.
Answer:
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