Answer:
8\6
Step-by-step explanation:
given the equation of the line you make y the subject of the formula by doing so you get y=(8\6)x-(1\6) the using the form y=mx-b
where m is the slope and b the y-iñercept
Answer:
All you have to do is add 4 to the equation
This gives you g(x)=4x^2+9 which is your answer
Step-by-step explanation:
Answer:
The probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.
Step-by-step explanation:
Let <em>X</em> = number of students arriving at the 10:30 AM time slot.
The average number of students arriving at the 10:30 AM time slot is, <em>λ</em> = 3.
A random variable representing the occurrence of events in a fixed interval of time is known as Poisson random variables. For example, the number of customers visiting the bank in an hour or the number of typographical error is a book every 10 pages.
The random variable <em>X</em> is also a Poisson random variable because it represents the fixed number of students arriving at the 10:30 AM time slot.
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 3.
The probability mass function of <em>X</em> is given by:
Compute the probability of <em>X</em> = 2 as follows:
Thus, the probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.
Answer:
- area: 60π cm² ≈ 188.5 cm²
- volume: 63π cm³ ≈ 197.9 cm³
- doubling the radius
Step-by-step explanation:
<h3>(a)</h3>
The surface area of a right cylinder is given by the formula ...
SA = 2πr(r +h) . . . . . radius r, height h
Filling in the given values, we find the area to be ...
SA = 2π(3 cm)(3 +7 cm) = 60π cm² ≈ 188.5 cm²
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<h3>(b)</h3>
The volume of the cylinder is given by the formula ...
V = πr²h . . . . . radius r, height h
Filling in the given values, we find the volume to be ...
V = π(3 cm)²(7 cm) = 63π cm³ ≈ 197.9 cm³
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<h3>(c)</h3>
The volume is proportional to r², so doubling the radius will multiply the volume by 2² = 4.
The volume is proportional to the height, so multiplying the height by 3 will multiply the volume by 3.
4 > 3, so doubling the radius gives the most volume
Hello,
The answer would be D
Hope this helped :)