The perimeter of the rectangle below is 124 units. Find the length of side cd
1 answer:
Answer:
CD = 38
Step-by-step explanation:
Since AB = 3x + 2, CD = 3x + 2
To solve for the length of CD, we'll need to solve for x first by using the perimeter formula
Solving for x...
Now that we know what x equals, plug in x into the expression of side CD
CD = 3x + 2
CD = 3(12) + 2
CD = 36 + 2
CD = 38
Therefore, the length of side CD = 38
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Check:
AB = CD | BC = DA
38 + 38 for AB and CD
BC + DA = 2x + 2x
BC + DA = 2(12) + 2(12)
BC + DA = 24 + 24
BC + DA = 48
38 + 38 + 48 = perimeter
perimeter = 124
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Answer:
The probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.
Step-by-step explanation:
Let <em>X</em> = time between calls made to Amazon's customer service.
The average time between calls is, <em>β</em> = 10 minutes.
The random variable <em>X</em> follows an Exponential distribution with parameter
The probability distribution function of <em>X</em> is:
Compute the probability that the time between the next two calls is between 3 minutes and 7 minutes as follows:
Thus, the probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.