The solution to the two functions is (1, 3) and it represents the temperature at which the number of people visiting the zoo equals the number of people leaving the zoo.
Answer: (1) 13/20 (2) 8 (3) Yes. They are proportional
<u>Step-by-step explanation:</u>
(1) 13 students take the bus.
33 - 13 = 20 students do not take the bus
(2)
(3)
All of the fractions simplify to the same number so they ARE proportional.
<span>The answer is 0.06325. The probability of detecting the true presence is 98% = 0.98. The probability of not detecting the true presence is: 100%-98% = 2% = 0.02. The probability of detecting the true absence is 97% = 0.97. The probability of not detecting the true absence is: 100%-97% = 3% = 0.03. The probability of having the disorder is: 3.5% = 0.035. The probability of not having the disorder is 100% - 3.5% = 96.5% = 0.965. The probabilty of having a disorder and detecting the true presence is: 0.035 * 0.98 = 0.0343. The probability of not having the disorder and detecting the true absence is: 0.965 * 0.03 = 0.02895. The probability that a randomly chosen person tests positive is: the probabilty of having a disorder and detecting the true presence + the probability of not having the disorder and detecting the true absence = 0.0343 + 0.02895 = 0.06325.</span>
Answer:
Yes, the given relation is a function.
Step-by-step explanation:
Given the quadratic function, y = (x + 1)², and the domain of {-2, -1, 0, 1, 2, 3}:
By definition, a function is a <em>relation</em> in which no two ordered pairs have the same first component (x-values) and different second components (y-values). Observing the given domain, there are no repeating <em>input</em> values.
Therefore, the correct answer is that the relation is a function.
Hi there.
Your answer is correct, as you need to divide both sides by 3.5 to solve for x, which results in $14/h.
I hope this helps!
