The sum which is not equal to 7/8 is 7/8 +7/8 = 14/8
Given,
a) 2/8 + 5/8 = 7/8 which is equal to 7/8.
Therefore, option a) is incorrect.
b) 1/8 + 6/8 = 7/8, which is also equal to 7/8.
Option b) is also incorrect.
c) 7/8 + 7/8 = 14/8 , which is not equal to 7/8.
Hence option c) is correct.
d) 3/8 + 4/8 = 7/8, which is equal to 7/8.
Option d) is also incorrect.
Hence option c) is correct as it matches the conditions of the question.
7/8 + 7/8 = 14/8 is not equal to 7/8.
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The cheetah is traveling at 25m per second.
The probability that a randomly selected cable repair visit will take at least 43 minutes will be 88%.
Given: The times required for a cable company to fix cable problems in its customers' homes are uniformly distributed between 40 minutes and 65 minutes.
It can be deduced that the probability that a randomly selected cable repair visit will take at least 43 minutes will be calculated thus:
= 1 - [(43 - 40)/(65 - 40)
= 1 - 0.12
= 0.88
Hence, The probability that a randomly selected cable repair visit will take at least 43 minutes will be 88%.
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Explanation:
a. The line joining the midpoints of the parallel bases is perpendicular to both of them. It is the line of symmetry for the trapezoid. This means the angles and sides on one side of that line of symmetry are congruent to the corresponding angles and sides on the other side of the line. The diagonals are the same length.
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b. We observe that adjacent pairs of points have the same x-coordinate, so are on vertical lines, which have undefined slope. KN is a segment of the line x=1; LM is a segment of the line x=3. If the trapezoid is isosceles, the midpoints of these segments will be on a horizontal line. The midpoint of KN is at y=(3-2)/2 = 1/2. The midpoint of LM is at y=(1+0)/2 = 1/2. These points are on the same horizontal line, so the trapezoid <em>is isosceles</em>.
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c. We observed in part (b) that the parallel sides are KN and LM. The coordinate difference between K and L is (1, 3) -(3, 1) = (-2, 2). That is, segment KL is the hypotenuse of an isosceles right triangle with side lengths 2, so the lengths of KL and MN are both 2√2.
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For part (c), we used the shortcut that the hypotenuse of an isosceles right triangle is √2 times the leg length.
percent of increase for a population that changed from 25,000 to 30,000
Increase in population = 30,000 - 25,000 = 5000
So, the increase in population is 5000
To find percent of increase , we divide the increase in population by initial population.
So percent of increase =
* 100
= 0.2 * 100
= 20 %
20% of increase for a population that changed from 25,000 to 30,000.