Answer:
The probability the student studies Art and
Biology is 0.2143.
Step-by-step explanation:
Denote the events as follows:
A = a students studies Art
B= a students studies Biology
The information provided is:
N = 42
n (An B) = 9
n (A' n B) = 10
n (A' n B') =7
Then the number of students who study Art
but not Biology is:
n(An B') = N -n (An B) -n (A' nB) - n (A'n B')
= 42 - 10 - 7 - 9
= 16
The number of students who study Art but
not Biology is 16.
Compute the probability the student studies
Art and Biology as follows:
P(ANB)
n(ANB)
= 0.2143
Thus, the probability the student studies Art
and Biology is 0.2143.
Answer:
Question 1
probability of a red marble in the first draw = 1/10
probability of a orange marble in the second draw = 4/9
probability of getting red in first and orange in second (without replacement) = 1/10 * 4/9 = 2/45,
Question 2
6 outcomes
1/6
Answer: 10 units.
Step-by-step explanation:
The equation of the circle in Center-radius form is:

Where the center is (h,k) and "r" is the radius.
The equation of the circle given is:

You can observe that is written in Center-radius form.
Then, you can identify that:

Knowing this, you need to solve for "r" to find the lenght of the radius.
This is:

Therefore, the lenght of the radius is 10 units.
Answer:
The probability is 45%
Step-by-step explanation: