What does the perimeter of this figure consist of?
2 answers:
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Answer:
Option B, Area of pentagon = 58.5 Square feet
Step-by-step explanation:
The remaining part of the question is attached as image
Solution
Area of pentagon has a triangle and a trapezoid
Area of triangle = 0.5 *base *height = 0.5*9 *3 = 13.5 square feet
Area of trapezoid = Area of rectangle – 2* area of smaller triangles
= 9 ft * 6ft – ( 2 * 0.5 * 6 ft * (9 ft – 6ft) /2
= 54 – (1*6*1.5)
Area of pentagon = 13.5 + 45 = 58.5 Square feet
Hence, option B is correct
Answer:
The probability that the candidate score is 600 or greater
P(X≥ 600 ) = 0.0228
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given mean of the Population = 500
Given standard deviation of the Population = 50
Let 'X' be the random variable in normal distribution
Given X = 600
<u><em>Step(ii)</em></u>:-
The probability that the candidate score is 600 or greater
P(X≥ 600 ) = P(z≥2)
= 0.5 - A(2)
= 0.5 -0.4772
= 0.0228
<u><em>Final answer</em></u>:-
The probability that the candidate score is 600 or greater
P(X≥ 600 ) = 0.0228