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nathangirnet
21.02.2020 •
Mathematics
Can anyone help please
Solved
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Answers on questions: Mathematics
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Ответ:
X = 27
Step-by-step explanation: If we observe very closely, we have two similar triangles in the diagram. The first one is ABC and the other triangle is EDC. Also take note that angle ACB in the first triangle is equal in measurement to angle ECD (45 degrees) in the other triangle, (Opposite angles).
Hence in triangle ECD, we have identified two angles so far which are angle 2x + 10 and angle 45. Same applies to triangle ABC, we already have two angles which are, 3x - 10 and 45.
However angle D in the second triangle is equal in measurement to angle B in the first triangle
(Alternate angles).
Hence we have a third angle in triangle ABC which is
Angle B = 2x + 10.
Therefore 3x - 10 + (2x + 10) + 45 = 180
(Sum of angles in a triangle)
3x - 10 + 2x + 10 + 45 = 180
By collecting like terms we now have
3x + 2x = 180 + 10 - 10 - 45
5x = 135
Divide both sides by 5,
x = 27
Ответ:
it lies between 8 hours and 12 hours in a week
Step-by-step explanation:
Since in the question it is mentioned that the distribution consist of uni-modal, symmetric and bell shaped so here the empirical formual to be used for the mean and the standard deviation
Also the 68% would be fall within one standard deviation above and below the mean
Now
1 standard deviation below the mean is
= 10 - 2
= 8 hours
And, above the mean is
= 10 + 2
= 12 hours
Hence, it lies between 8 hours and 12 hours in a week