Answer: 0.2119
Step-by-step explanation:
We assume that the random variable X is normally distributed.
Given : Population mean : 
Standard deviation : 
Z-score : 
Then, z-score corresponds to 116
By using the standard normal distribution table for z , we have
Hence, the required probability = 0.2119
Answer:
The y-intercept of f(x) has the same value as the -x-intercept of f inverse-
The function f^1 (x) has a range including all values greater than or equal to 0; therefore, the -domain of f- does also
Step-by-step explanation:
Answer:
33 ft²
Step-by-step explanation:
The area of the outdoor carpet = area of trapezoid + area of rectangle + area of triangle
✔️Area of trapezoid = ½(a + b)h
Where,
a = 6 ft
b = 3 ft
h = 11 - 9 = 2 ft
Area of trapezoid = ½(6 + 3)*2 = 9 ft²
✔️Area of rectangle = L*W = 7 *3 = 21 ft²
✔️Area of triangle = ½bh
b = 2 ft
h = 3 ft
Area = ½*2*3 = 3 ft²
✅Area of the outdoor carpet = 9 + 21 + 3 = 33 ft²
Answer:
Sin theta = 12/13
Step-by-step explanation:
From the question;
Cot theta = 5/12
Kindly recall;
Cot theta = 1/ tan theta
Hence, tan theta = 12/5
Mathematically
tan theta= opposite/adjacent
to get hypotenuse, we will use Pythagoras’ theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides
let hypotenuse be h
h^2 = 12^2 + 5^2
h^2 = 144 + 25
h^2 = 169
h = √169
h = 13
But sine theta = opposite/ hypotenuse = 12/13
Answer:
62°
Step-by-step explanation:
they are vertical angles
