Answer:
5 1/2 or 5.5
Step-by-step explanation:
=8 1/2+2 1/6-5 2/12
=17/2+ 2 1/6-5 2/12
=17/2+13/6-5 2/12
=32/3- 5 2/12
=32/3-31/6
=11/2
=5 1/2
Using permutations and the probability concept, it is found that there is a 0.0417 = 4.17% probability that Nia is chosen as president.
- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- As there are different roles, the order in which the students are chosen is important, hence, the <em>permutation </em>formula is used to solve this question.
Permutation formula:
The number of possible permutations of x elements from a set of n elements is given by:
Desired outcomes:
- For the other roles, 3 students from a set of 23, hence:

Total outcomes:
4 students from a set of 24, hence:

Then:

0.0417 = 4.17% probability that Nia is chosen as president.
To learn more about probabilities, you can take a look at brainly.com/question/24437717
Answer:
1. 60 cm^2
2. 132.67 cm^2
3. 72.67 cm^2
Step-by-step explanation:
1. Area of rectangle
A = LW = 5 cm * 12 cm = 60 cm^2
2. Area of circle
A = (pi)r^2 = 3.14(6.5 cm)^2 = 132.67 cm^2
3. Area of shaded region
A = area of circle - area of rectangle
A = 132.7 cm^2 - 60 cm^2 = 72.67 cm^2
9514 1404 393
Answer:
(3) y = (x -3)²
Step-by-step explanation:
Try the first value of x in each function:
(1) y = 3² -3 ≠ 0
(2) y = (3 +3)² ≠ 0
(3) y = (3 -3)² = 0 . . . . . . matches the table value for f(3)
(4) y = 3² +3 ≠ 0
__
The only viable choice is (3).