Answer:
The Answer is 2/62=1/31
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
2 sqrt(3) * sqrt(12)
Rewriting sqrt(12) as sqrt(4 *3)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(12) = sqrt(4) sqrt(3) = 2 sqrt(3)
2 sqrt(3) * sqrt(12) = 2 sqrt(3) * 2 sqrt(3)
=4 * (sqrt(3) )^3
= 4 *3
=12
Unfortunately, 15/32 is at its simplest form. There is no common factor between 32 and 15, meaning that the LCM is 15/32.
So, technically 15/32 is still the simplified version of 15/32.
Let x = the first number
x+1 = the second number
The sum of our two numbers is therefore: x + (x+1)
When you subtract 13 from the above you get 18 left over.
So our equation is:
x + (x+1) - 13 = 18
Now we can just solve for x:
x + (x+1) = 31
2x + 1 = 31
2x = 30
x = 15
So our first number is 15 and our second number must be 16.
Answer:
Binomial = 0.8724
Normal approximation = 0.873
Step-by-step explanation:
Given that :
Sample size (n) = 20
p = 0.6
q = 1 - p = 1 - 0.6 = 0.4
.using normal approximation :
Mean = np
Mean (m) = 20 * 0.6 = 12
Standard deviation (s) = √npq
s = √(20 * 0.6 * 0.4) = 2.1908902
Probability of 10 or more lines in use :
p(x ≥ 10)
Applying for correction:
p(x ≥ 10 - 0.5) = p(x ≥ 9.5)
Using the z formula :
Z = (x - m) / s
Z = (9.5 - 12) / 2.1908902
Z = - 1.141
p(Z > - 1.141) = 0.87307 (Z probability calculator)
p(Z > - 1.141) = 0.873
Using the binomial distribution :
P(x = x) = nCx * p^x * (1 - p)^(n-x)
p(x ≥ 10) = p(x = 10) + p(x = 11) +.... + p(x = 20)
Using calculator :
p(x ≥ 10) = 0.87247
= 0.873
