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>
Answer:
79.6 dollars saved
Step-by-step explanation:
Mail
4 times 54.90 equals 219.6
4 times 6.50 equals 26
4 times 8.34 equals 33.36
219.6 + 26 + 33.36 = 278.96
Local store
332 times .08 equals 26.56
332 + 26.56 = 358.56
Difference
358.56 - 278.96 = 79.6
No she not correct. 80% of the students are wearing tennis shoes
Answer:
Correct option: (B) 1.495%.
Step-by-step explanation:
Denote the events as follows:
<em>X</em> = the test is positive.
<em>A</em> = a person with the dominant allele
The information given are:
According to the law of total probability the probability of an event <em>A, </em>conditional upon the occurrence of another event <em>B</em> is:
Use this law to compute the probability of person having a positive result as follows:
The percentage of positive result is: 0.01495 × 100 = 1.495%.
Thus, the percentage of the population will give a positive test is 1.495%.
Answer:
slope is 5
Step-by-step explanation:
y=mx + b
y=5x =2
m = slope therefore is 5