So an example
least common multipule is like what is
the smallest number both will fit into
example, 6 and 10, least common
multilule is 30 because 6*5=30 and 3*10=30
so 3 and 4
factor each
3=3
4=2*2
so we have to have 2*2*3 which is 12
12 is least common multiplule
Well, if 6/4 equals 1.5 --
Then 1.5*5, (which is the next quantity of days before it hits 9) equals 7.5.
Hope this helps.
Answer:
6 swimmers in the first heat can be arranged in 1716 different ways.
Step-by-step explanation:
A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.
So to select 6 swimmers out of 13 contestants number of different ways
=
=
=
=
=
= 1716
Therefore, 6 swimmers in the first heat can be arranged in 1716 different ways.
Answer:
400 m^2.
Step-by-step explanation:
The largest area is obtained where the enclosure is a square.
I think that's the right answer because a square is a special form of a rectangle.
So the square would be 20 * 20 = 400 m^2.
Proof:
Let the sides of the rectangle be x and y m long
The area A = xy.
Also the perimeter 2x + 2y = 80
x + y = 40
y = 40 - x.
So substituting for y in A = xy:-
A = x(40 - x)
A = 40x - x^2
For maximum value of A we find the derivative and equate it to 0:
derivative A' = 40 - 2x = 0
2x = 40
x = 20.
So y = 40 - x
= 40 - 20
=20
x and y are the same value so x = y.
Therefore for maximum area the rectangle is a square.
According to the hypothesis test, the option that gives the most appropriate method for creating such an estimate is:
A one-sample z-interval for a population proportion.
<h3>What is the hypothesis test?</h3>
He will test if there is enough support to build a new middle school, that is, if the population proportion that supports the building of a new middle school is greater than a threshold.
Only one sample is taken from the district residents, hence the correct option is:
A one-sample z-interval for a population proportion.
You can learn more about hypothesis tests at brainly.com/question/26454209