Let's find the derivative of that hyperbola in order to find a slope formula to help us with this equation. We already have an x and y value. The derivative is found this way: 
so 
. The derivative supplies us with the slope formula we need to write the equation. Sub in the x value of 3 to find what the slope is: 
. So in our slope-intercept equation, x = 3, y = 1, and m = -1/3. Use these values to solve for b. 
so b = 2. The equation, then, for the line tangent to that hyperbola at that given point is 
Jamie has 7/10 of a pound of
1 answer:
You might be interested in
we can convert any decimal to a fraction, by simply <u>using as many zeros at the bottom as there are decimals, and losing the dot atop</u>, now let's do so, notice we have 3 decimals, so we'll use 3 zeros.
Answer:
0.211 = 21.1% probability that 2 flights of BlueSky Air arrive late
Step-by-step explanation:
For each flight, there are only two possible outcomes. Either they arrive late, or they do not. The probability of a flight arriving late is independent of any other flight. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
BlueSky Air has the best on-time arrival rate with 80% of its flights arriving on time.
This means that 100 - 80 = 20% are late, which means that
Randomly selecting 16 BlueSky Air flights
This means that
What is the probability that 2 flights of BlueSky Air arrive late?
This is P(X = 2).
0.211 = 21.1% probability that 2 flights of BlueSky Air arrive late