Answer:
49 teachers
Step-by-step explanation:
By proportion, the number of teachers needed is found as follows:
6/102 = x/825 where x is the required number of teachers.
102x = 6*825
x = (6*825)/102
= 48.5
Answer:
She gets 80 golf tees.
Step-by-step explanation:
1. 3,6,9,12,15,18,21,24
10,20,30,40,50,60,70,80
2. 80
Answer:
x+4 square meters
Step-by-step explanation:
In general, when we have two expressions
and
:
![(x+a)(x+b)=x^2+(a+b)x+ab](https://tex.z-dn.net/?f=%28x%2Ba%29%28x%2Bb%29%3Dx%5E2%2B%28a%2Bb%29x%2Bab)
In words, the coefficent of the middle term is the <em>sum</em> of a and b, and the last term is the <em>product</em> of a and b. In our given expression:
![a+b=13\\ab=36](https://tex.z-dn.net/?f=a%2Bb%3D13%5C%5Cab%3D36)
Thankfully, we're already given one of these terms:
. Solving for b in that first equation, we get
![9+b=13\\b=4](https://tex.z-dn.net/?f=9%2Bb%3D13%5C%5Cb%3D4)
9 × 4 is 36, so this result checks out! So, with a length of
meters, our width must be
meters.
Answer:
12 possible outcomes.
Sample space:
![\begin{array}{cccc}(F,1)&(A,1)&(I,1)&(R,1)\\(F,2)&(A,2)&(I,2)&(R,2)\\(F,3&(A,3)&(I,3)&(R,13)\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcccc%7D%28F%2C1%29%26%28A%2C1%29%26%28I%2C1%29%26%28R%2C1%29%5C%5C%28F%2C2%29%26%28A%2C2%29%26%28I%2C2%29%26%28R%2C2%29%5C%5C%28F%2C3%26%28A%2C3%29%26%28I%2C3%29%26%28R%2C13%29%5Cend%7Barray%7D)
Step-by-step explanation:
The collection of all possible outcomes of a probability experiment forms a set that is known as the sample space.
1. There are four possible outcomes for the first wheel: F, A, I and R
2. There are three possible outcomes for the second wheel: 1, 2 and 3
So, the sample space is
![\begin{array}{cccc}(F,1)&(A,1)&(I,1)&(R,1)\\(F,2)&(A,2)&(I,2)&(R,2)\\(F,3&(A,3)&(I,3)&(R,13)\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcccc%7D%28F%2C1%29%26%28A%2C1%29%26%28I%2C1%29%26%28R%2C1%29%5C%5C%28F%2C2%29%26%28A%2C2%29%26%28I%2C2%29%26%28R%2C2%29%5C%5C%28F%2C3%26%28A%2C3%29%26%28I%2C3%29%26%28R%2C13%29%5Cend%7Barray%7D)