AND means multiply, so if probability is dependent on two things happening, then we will multiply the individual probabilities together.
1. P(A and 1) = 1/4 x 1/6 = 1/24
2. P(C and 2) = 1/4 x 2/6 = 2/24 = 1/12
3. P(B and 3) = 2/4 x 1/6 = 2/24 = 1/12
4. P(A and 4) = 1/4 x 2/6 = 2/24 = 1/12
5. P(C and 3) = 1/4 x 1/6 = 1/24
6. P(B and 2) = 2/4 x 2/6 = 4/24 = 1/6
7. P(a consonant and an odd #) = 3/4 x 2/6 = 6/24 = 1/4
8. P(a consonant and a prime #) = 3/4 x 3/6 = 9/24 = 3/8
9. P(a vowel and a 5) = 1/4 x 0/6 = 0
10. P(a vowel and a number less than 3) = 1/4 x 3/6 = 3/24 = 1/8
11. P(B and 1) = 2/4 x 1/6 = 2/24 = 1/12
Experimental probability is based on something that has already happened, or data that has already been collected.
12. P(1) = 3/30 = 1/10
13. P(2) = 8/30 = 4/15
14. P(3) = 7/30
15. P(4) = 5/30 = 1/6
16. P(5) = 3/30 = 1/10
17. P(6) = 4/30 = 2/15
Hope this helps!
Answer:
x<56
Step-by-step explanation:
Since the dot over 56 isn't filled in, the inequality doesn't include 56 (so we'll use < or > not
or
)
Now, let's look at the direction of the shading: is it going to the left of 56 or to the right?
This shading is to the left of 56, which indicates that it's all of the numbers less than 56.
As said above, the inequality doesn't include 56
therefore, it will be x<56 (x is less than 56, and 56 is not included)
hope this helps!
C, since the radius is 10 multiply by 2 and 100 x 3.14 is 314
<u>Given</u>:
The given expression is 
We need to determine the values for which the domain is restricted.
<u>Restricted values:</u>
Let us determine the values restricted from the domain.
To determine the restricted values from the domain, let us set the denominator the function not equal to zero.
Thus, we have;

Taking square root on both sides, we get;



Thus, the restricted value from the domain is
Hence, Option A is the correct answer.
In the second quadrant, both cos and tan are negative while only sin is positive.
To find tan, we will use the following property below:

Sec is the reciprocal of cos. If cos is a/b then sec is b/a. Since cos is 2/3 then sec is 3/2

Since tan is negative in the second quadrant. Hence,

Answer