Answer:
The probability is 
Step-by-step explanation:
The probability of guessing correctly, P = 0.54
Probability of not guessing correctly, q = 1 – P
q = 1 – 0.54 = 0.46
Number of trials, n = 32
Now calculate the probability that Mr. Taylor will pick 32 correctly in first round of the game.
Below is the calculation using binomial distribution.

Answer: the greatest number of courses for which miranda can register is 2
Step-by-step explanation:
Let x represent the number of courses for which Miranda can register.
If her college charges a $90 registration fee for the term plus $475 per course, it means that the total amount that the college charges for x courses would be
475x + 90
Miranda’s financial aid stipulates that her tuition not exceed $1200(it must be at most $1200). This means that
475x + 90 ≤ 1200
475x ≤ 1200 - 90
475x ≤ 1110
x ≤ 1110/475
x ≤ 2.34
Answer/Step-by-step explanation:
1. The figure is composed of a triangle and a rectangle.
Area of the triangle = ½*base*height
base = 4 ft
height = 12 - 8 = 4ft
Area of triangle = ½*4*4 = 8 ft²
Area of rectangle = length * width
Length = 8 ft
Width = 4 ft
Area of rectangle = 8*4 = 32 ft²
✔️Area of the figure = 8 + 32 = 40 ft²
2. The figure is composed of a semicircle and a triangle
Area of the semicircle = ½(πr²)
radius (r) = 3 cm
π = 3
Area = ½(3*3²) = 13.5 cm²
Area of triangle = ½*base*height
base = 3*2 = 6 cm
height = 6 cm
Area = ½*6*6 = 6 cm²
✔️Area of the figure = 13.5 + 6 = 19.5 cm²

it is true; just work them out, you should get what they got :))
Answer:
C is the correct answer cos it is paid by the customer