Answer:
b = 50%
Step-by-step explanation:
P(Heart or Club)
= P(Heart) + P(Club)
= 13/52 + 13/52
= .25 + .25
= .5 --> 50%
Answer:
Domain: [-3, 1]
Step-by-step explanation:
Doman is the set of x-values that can be inputted into function f(x).
We see that our x-values span from -3 to 1. Since both have no holes, they are included in our domain:
[-3, 1] or -3 ≤ x ≤ 1
Since the order matters, it's a permutation of 7 letters, but mind you in
MOROCCO. you have 3 O's and 2 C's, Hence the arrangements are:
⁷P₇ /(3!2!) = 7!/(3!2!) = 5040/(3!2!) = 420 arrangements
3.6 * 10^(-3) is the scientific notation
Answer:
The bounded area is 5 + 5/6 square units. (or 35/6 square units)
Step-by-step explanation:
Suppose we want to find the area bounded by two functions f(x) and g(x) in a given interval (x1, x2)
Such that f(x) > g(x) in the given interval.
This area then can be calculated as the integral between x1 and x2 for f(x) - g(x).
We want to find the area bounded by:
f(x) = y = x^2 + 1
g(x) = y = x
x = -1
x = 2
To find this area, we need to f(x) - g(x) between x = -1 and x = 2
This is:
We know that:
Then our integral is:
The right side is equal to:
The bounded area is 5 + 5/6 square units.