Find the greatest of four consecutive integers if when the least integer is decreased by twice the greatest integer the result i
1 answer:
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Answer:
1st blank: 1
2nd blank: -3
Step-by-step explanation:
1 - 2 / 4 - 5
-1/-1
slope = 1
1 = 4 + b
-3 = b
2 = 5 + b
-3 = b
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1. N is a midpoint of the segment KL, then N has coordinates
2. To find the area of △KNM, the length of the base MK is 2b, and the length of the height is a. So an expression for the area of △KNM is
3. To find the area of △MNL, the length of the base ML is 2a and the length of the height is b. So an expression for the area of △MNL is
4. Comparing the expressions for the areas you have that the area is equal to the area
. This means that the segment from the midpoint of the hypotenuse of a right triangle to the opposite vertex forms two triangles with equal areas.
Answer:
(a) The probability that a randomly selected woman shop exactly two hours online is 0.217.
(b) The probability that a randomly selected woman shop 4 or more hours online is 0.0338.
(c) The probability that a randomly selected woman shop less than 5 hours online is 0.9922.
Step-by-step explanation:
Let <em>X</em> = time spent per week shopping online.
It is provided that the random variable <em>X</em> follows a Poisson distribution.
The probability function of a Poisson distribution is:
The average time spent per week shopping online is, <em>λ </em>= 1.2.
(a)
Compute the probability that a randomly selected woman shop exactly two hours online over a one-week period as follows:
Thus, the probability that a randomly selected woman shop exactly two hours online is 0.217.
(b)
Compute the probability that a randomly selected woman shop 4 or more hours online over a one-week period as follows:
P (X ≥ 4) = 1 - P (X < 4)
= 1 - P (X = 0) - P (X = 1) - P (X = 2) - P (X = 3)
Thus, the probability that a randomly selected woman shop 4 or more hours online is 0.0338.
(c)
Compute the probability that a randomly selected woman shop less than 5 hours online over a one-week period as follows:
P (X < 5) = P (X = 0) + P (X = 1) + P (X = 2) + P (X = 3) + P (X = 4)
Thus, the probability that a randomly selected woman shop less than 5 hours online is 0.9922.