Answer:
The reflected point would be (3,-7)
Answer:
75°
Step-by-step explanation:
Please see attached picture for full solution.
The probability that a randomly selected professor is female and feels "About Right" is 0.40
The distribution table :
____About right _ Oweight _ Uweight __ Total
Female _ 80 _____ 39 ______ 3 _______ 122
Male ___ 52 _____ 10 ______ 16 _______ 88
Total ___ 132 ____ 49 ______ 19 _______ 200
Oweight = Overweight
Uweight = Underweight
Recall :
Probability = required outcome / Total possible outcomes
Probability that a selected professor is female and feels 'About right' :
Required outcome = number of female professors who feels 'About right' = 80
Total number of professors = 200
Hence,
P(Female and 'About right') = 80/200 = 0.40
Learn more : brainly.com/question/11234923
The area of the shaded region is .
Solution:
Given radius = 4 cm
Diameter = 2 × 4 = 8 cm
Let us first find the area of the semi-circle.
Area of the semi-circle =
Area of the semi-circle = cm²
Angle in a semi-circle is always 90º.
∠C = 90°
So, ABC is a right angled triangle.
Using Pythagoras theorem, we can find base of the triangle.
cm
Base of the triangle ABC = cm
Height of the triangle = 4 cm
Area of the triangle ABC =
Area of the triangle ABC = cm²
Area of the shaded region
= Area of the semi-circle – Area of the triangle ABC
=
=
Hence the area of the shaded region is .
Answer:
1+pi/2, 5/2, square root of 12-1, 2.25. Let me know if this is correct!
Step-by-step explanation: