Answer:
x = 8√2 units
Step-by-step explanation:
On a 45-45-90 triangle,<em> the ratio between one of the legs </em>(both are congruent)<em> and the hypotenuse is 1 : √2</em> (Improper but it still sends the message). That means the hypotenuse is √2 times as long as a leg.
x = 8 × √2
x = 8√2 units
Answer:
The probability that all the six people will test negative for the antibody is 0.9472.
The probability that the test comes back positive for at least one of the six people is 0.0528
Step-by-step explanation:
Consider the provided information.
probability that antibody is present will be effective is 99.1% and not present is 99.1% of the time.
Part (A)What is the probability that the test comes back negative for all six people?
Let P(X)= P(Antibody not present)
We want test comes back negative for all six that means antibody is present for all six. Thus X=0

The probability that all the six people will test negative for the antibody is 0.9472.
Part (B) What is the probability that the test comes back positive for at least one of the six people?



Hence, the probability that the test comes back positive for at least one of the six people is 0.0528
Error: They subtracted 9x from both sides when they should have subtracted 12. You can’t subtract unlike terms
Correct: x=-5/16
Subtract 12 from both sides to get -5 on the left and add 7x and 9x to get 16x. Divide both sides by 16 to isolate x.
Answer:
length = 9 units
Step-by-step explanation:
l = length
n - 6 = width
A = n(n - 6)
A = n² - 6n
27 = n² - 6n
n² - 6n - 27 = 0
(n + 3)(n - 9) = 0
n = -3, n = 9
length must be 9 because it cannot be a negative value
Step-by-step explanation:
compound-interest formula