Answer:
Step-by-step explanation:
Given that the figure is made up of portion of a square and a semicircle, we have;
BC ≅ AB = 6 cm
The area of semicircle BC with radius BC/2 = 3 is 1/2×π×r² = 1/2×π×3² = 4.5·π cm²
Triangle ABC = 1/2 × Area of square from which ABC is cut
The area of triangle ABC = 1/2×Base ×Height = 1/2×AB×BC = 1/2×6×6 = 18 cm²
The area of the figure = The area of semicircle BC + The area of triangle ABC
The area of the figure = 4.5·π cm² + 18 cm² = .
Answer:
Randomly selected adult has an IQ less than 136 is 0.9641
Step-by-step explanation:
It is given that, it is normal distribution with mean 100 and SD as 20.
So, let's use the formula of z-score
z=
For this problem,
x= 136
Plug in this value into the formula
z-score=
=1.8
Now, use z-score table to find the probability
Find the corresponding value for the row 1.8 and the column 0.00, we do get 0.9641
So, Randomly selected adult has an IQ less than 136 is 0.9641