Answer:
1716 ways
Step-by-step explanation:
Given that :
Number of entrants = 13
The number of ways of attaining first, second and third position :
The number of ways of attaining first ; only 1 person can be first ;
Using permutation :
nPr = n! ÷(n-r)!
13P1 = 13! ÷ 12! = 13
Second position :
We have 12 entrants left :
nPr = n! ÷(n-r)!
12P1 = 12! ÷ 11! = 12
Third position :
We have 11 entrants left :
nPr = n! ÷(n-r)!
11P1 = 11! ÷ 10! = 11
Hence, Number of ways = (13 * 12 * 11) = 1716 ways
Carl and Rose' balconies make up the base of an isosceles triangle.
Their distances from the flagpole is the same.
From the question, we understand that:
- Carl and Rose live on a straight line
- The measure of angle from each person's balcony to the flagpole is the same
The above highlights mean that:
The relationship between Carl and Rose' balconies and the flagpole is an isosceles triangle.
Where Carl and Rose' balconies form the base of the isosceles triangle.
Hence, their distances from the flagpole is the same.
Read more about distances at:
brainly.com/question/12961022
Answer:
His overal final score is 81.2. His letter grade is a B.
Step-by-step explanation:
Weighed average:
The sum of all values multiplied by it's weight. The weight is a proportion(a value between 0 and 1).
So.
Score of 72 on the midterm, which counts 5%.
Score of 83 on the project score, which counts 25%.
Score of 91 on homework assignments, which counts 35%.
Score of 74 on the final exam, which counts 35%.
His grade is:
G = 72*0.05 + 83*0.25 + 91*0.35 + 74*0.35 = 82.1.
His overal final score is 81.2.
At least 80 but less than 90 is a B
So his letter grade is a B.
2x+14=60(vertical)
2x=46
x=23
Answer:
<h2>2 x 2</h2>
Step-by-step explanation:
Dimensions: m x n
m = number of rows
n = number of columns
When multiplying two matrices:
m x n * n x k = m x k
MATIX 1:
m = number of rows
n = number of columns
MATRIX 2:
n = number of rows
k = number of columns
RESULTING MATIX:
m = number of rows
k = number of columns
2 x 3 * 3 x 2 = 2 x 2
