Answer:
so all triangles total value has to be 180 so we take 180-74=106/2=53
Step-by-step explanation:
One function you would be trying to minimize is
<span>f(x, y, z) = d² = (x - 4)² + y² + (z + 5)² </span>
<span>Your values for x, y, z, and λ would be correct, but </span>
<span>d² = (20/3 - 4)² + (8/3)² + (-7/3 + 5)² </span>
<span>d² = (8/3)² + (8/3)² + (8/3)² </span>
<span>d² = 64/3 </span>
<span>d = 8/sqrt(3) = 8sqrt(3)/3</span>
The probability that all of them will be defective is 0.0000759375
<em><u>Explanation</u></em>
The general <u>Binomial Probability</u> formula is....
, where p is the probability of success, n is the total number of trials and r is the desired numbers of trials.
Given, the probability that a computer will be defective is 0.15 , so p = 0.15
Five computers are manufactured and we need to find the probability that all of them will be defective. That means, n = 5 and r = 5
Now according to the above formula....

So, the probability that all of them will be defective is 0.0000759375
Step-by-step explanation:
(2,4)===(4,-2)
(4,3)===(3,-4)
(2,3)===(3,-2)
Answer:
3(4x - 1)
Step-by-step explanation:
Given
12x - 3 ← factor out the common factor of 3 from both terms
= 3(4x - 1)