A shelf is in the shape of a triangle. Find the angles of the triangle if the measures of the angles are in the ratio 1:2:5 and
1 answer:
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Answer:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution for X is normal then the we know that the distribution for the sample mean is given by:
And the standard error is given by:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution for X is normal then the we know that the distribution for the sample mean is given by:
And the standard error is given by:
Answer:
Therefore the area of the quadrilateral =35 cm²
Step-by-step explanation:
Given, the length of one of diagonal of quadrilateral is 10 cm and perpendicular drawn from the opposite vertices to this diagonal are the length of 2.8 cm and 4.2 cm.
A diagonal divided a quadrilateral into two triangle.
Therefore the area of the quadrilateral
= sum of the area of the triangles
cm² [ area of a triangle
]
=35 cm²