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2 answers:
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Answer:
The constant of proportionality is
Step-by-step explanation:
The constant of proportionality is the ratio between two directly proportional quantities
- If x and y are in directly proportion, then
, where k is the constant of proportionality.
- The direct proportion can be represented by a line whose equation is y = kx, where k is the slope of the line.
<em>To find the constant of proportionality from the given graph choose a point on the line and substitute x and y in the equation of the proportionality by the coordinates of the point.</em>
∵ Point (4, 18) lies on the line
∴ x = 4, y = 18
∵ The equation is y = kx
→ Substitute x by 4 and y by 18
∴ 18 = k(4)
∴ 18 = 4k
→ Divide both sides by 4 to find k
∴
∴
→ Simplify the fraction by dividing up and down by 2
∴
∴ The constant of proportionality is
Answer:
0.5
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X higher than x is given by the following formula.
The mail arrival time to a department has a uniform distribution over 5 to 45 minutes.
This means that .
What is the probability that the mail arrival time is more than 25 minutes on a given day?
So the probability that the mail arrival time is more than 25 minutes on a given day is 0.5.