Large cone:
V = 1/3 x pi x r^2 x h
= 1/3 x 3.14 x 9^2 x 15
= 1272.3 cubic inches
Smaller cone:
V = 1/3 x pi x r^2 x h
= 1/3 x 3.14 x 3^2 x 5
= 47.1 cubic inches
1272.3 - 47.1 = 1225.2 cubic inches
1272/3.14 ≈ 390
The answer is 390 × pi.
Binomial
Binomial distribution can be used because the situation satisfies all the following conditions:1. Number of trials is known and remains constant (n=10)2. Each trial is Bernoulli (i.e. exactly two possible outcomes) (defective/normal)3. Probability is known and remains constant throughout the trials (p=5%)4. All trials are random and independent of the others (assumed from context)The number of successes, x, is then given by
where
Substituting values, p=0.05, n=10, X=exactly 1
for X=1 (defective out of n)
P(X=1)=C(10,1)0.05^1*(1-0.05)^(10-1)
=10!/(1!9!)*0.05*0.95^9
=10*0.05*0.0630249
=0.315125 (to 6 places of decimal)
Change the mixed fraction to an improper fraction. Multiply 2 by 3 and add 2 to get 8. Put the 8 over 3. Now you can multiply
=
To divide the fraction, multiply the reciprocal, or opposite of the number(4 turns to 1/4)
You could multiply acros to get 8/12 and simplify to 2/3. Or you could cross simplify.
×
= 2/3
Your answer is
Step-by-step explanation:
Given points ( 2 , 7) and ( - 8 , 1 )
Distance between two points
Therefore distance between two points is 4 units.