<span>The least common multiple is the smallest number that is divisible by each of the numbers being considered. Example: While 15, 30, 45, 60, 75, ... are all commonmultiplies of 3 and 5, 15 is the smallest number divisible by both 3 and 5. It is the leastcommon multiple.</span>
Answer: P (girl) = 14 / 25
Concept:
Here, we need to know the idea of probability.
Probability is a measure of the likelihood of an event to occur.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
Number of boys = 11
Number of girls = 14
Total number of people = 11 + 14 = 25
P (girl) = Favorable / Total (refer to the attachment)
P (girl) = 14 / 25
Hope this helps!! :)
Please let me know if you have any questions
Answer:
![B(-17,21)](https://tex.z-dn.net/?f=B%28-17%2C21%29)
Step-by-step explanation:
The midpoint of two points is the average of the x coordinates and the average of the y coordinates.
Given
A(3, -1)
and we let the other end point B be B(x,y)
and midpoint is (-7,10)
So, the average of 3 and x is -7, and
the average of -1 and y is 10
We can solve for x first:
![\frac{3+x}{2}=-7\\3+x=2*-7\\3+x=-14\\x=-14-3\\x=-17](https://tex.z-dn.net/?f=%5Cfrac%7B3%2Bx%7D%7B2%7D%3D-7%5C%5C3%2Bx%3D2%2A-7%5C%5C3%2Bx%3D-14%5C%5Cx%3D-14-3%5C%5Cx%3D-17)
and now solving for y:
![\frac{-1+y}{2}=10\\-1+y=2*10\\-1+y=20\\y=20+1\\y=21](https://tex.z-dn.net/?f=%5Cfrac%7B-1%2By%7D%7B2%7D%3D10%5C%5C-1%2By%3D2%2A10%5C%5C-1%2By%3D20%5C%5Cy%3D20%2B1%5C%5Cy%3D21)
So, the other point B is:
![B(-17,21)](https://tex.z-dn.net/?f=B%28-17%2C21%29)
Answer:
X= 1 AND 13
Step-by-step explanation:
x2+14x = -13
by completing the square method
you add the square of half the coefficient of b to both sides
which is (14/2)^2
x^2+14x+(7^2) = -13 +(7^2)
x^2 + 7^2 = -13 + 49
x^2 + 7^2 = 36
(x + 7)^2 = 36
find the square root of both sides
(x+7) = + or - 6
x=7-6 ; 1
or
x= 7+6 ; 13