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1 answer:
The Chebyshev Theorem guarantees that we will find at least 75% of the people with wages between $9.25 and $14.25.
<h3>What does Chebyshev’s Theorem state?</h3>When the distribution is not normal, Chebyshev's Theorem is used. It states that:
- At least 75% of the measures are within 2 standard deviations of the mean.
- At least 89% of the measures are within 3 standard deviations of the mean.
- An in general terms, the percentage of measures within k standard deviations of the mean is given by
.
The Chebyshev Theorem guarantees that we will find at least 75% of the people with wages within 2 standard deviations of the mean, hence the bounds are:
- 11.75 - 2 x 1.25 = $9.25.
- 11.75 + 2 x 1.25 = $14.25.
More can be learned about the Chebyshev Theorem at brainly.com/question/25303620
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Answer:
78.71 mph
Step-by-step explanation:
You're looking for the solution to ...
d = 88
0.0015r^2 +r = 88
0.0015r^2 +r -88 = 0
Using the quadratic formula*, we find ...
r = (-1 +√(1² -4(0.0015)(-88)))/(2×0.0015)
r = (-1 +√1.528)/0.003 = 0.236123/0.003 = 78.7077
The speed of the car was about 78.71 mph.
_____
* The quadratic formula will also give a negative answer of about -745 mph, which is not relevant to the situation.
Answer:
10⁴ seconds
Step-by-step explanation:
Given that,
A person breathes in about cubic meters of air per second.
We need to find time taken to breathe 2.5 cubic meters of air.
In 1 sec = m³ of air breathe
Let in x seconds, 2.5 m³ of air taken by the person.
Hence, in 10⁴ seconds 2.5 m³ of air is taken by the person.