The equations of the asymptotes of the given hyperbola are; y = ±(40/9)x
<h3>How to Interpret the equation of a hyperbola?</h3>
We are given;
Vertex at (0,−40)
Focus at (0, 41).
Thus, the equation of the asymptote of the given hyperbola is;
y = ±(40/(√41 - (-40))
y = ±(40/(√81)
y = ±40/9
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Answer:
4
Step-by-step explanation:
Answer:
5 inches
Step-by-step explanation:
11 inches cost 33 cents
x inches cost 15 cents
Note: we let what we are looking for (inches) be "x"
Now, we can set up two ratios (fractions) and equate them to find the inches we can buy for 15 cents.
The set up:
Now we cross multiply and solve for x:
Thus, we can buy 5 inches for 15 cents.
To solve this problem, we use the t statistic. The formula
for z score is:
z = (x – u) / s
where x is the sample value = 15.5 seconds or below, u is
the sample mean = 14.62 seconds, s is standard dev = 2.13 seconds
z = (15.5 – 14.62) / 2.13
z = 0.41
Using standard distribution tables at z = 0.41, the value
of P is:
P = 0.6591 = 65.91%
<span>Hence there is a 65.91% chance the runner will have less
than 15.5 seconds of time</span>
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</span>
<span>answer:</span>
<span>c. 0.6591</span>
Answer:
I think it is 360?
Step-by-step explanation: