Equivalent fractions are those fractions that when simplified, are the same. They reduce to the same fraction in their simplest form.
For example, 12/15 and 24 /30 are equivalent fractions. They both reduce to 3/5 in their simplest form.
Least common denominator: it is the lowest number you can use in the denominator to create a set of equivalent fractions that all have the same denominator.
For example, if you have 3/5 + 1/4 and want to add them, you need to get a common denominator
3/5 = 6/10 = 9/15=12/20
1/4 =2/8=3/12 =4/16=5/20
We can use equivalent fractions to help us find the common denominator of 20
replace 3/5 with 12/20 and 1/4 with 5/20
3/5 + 1/4 = 12/20 + 5/20 = 17/20
Answer:
The interquartile range (IQR) for town A, 15° is less than the IQR for town B, 20°.
Step-by-step explanation:
From the boxplot Given ;
Town A :
The first quartile, Q1 = 15
Third quartile, Q3 = 30
The interquartile range, IQR = Q3 - Q1 = 30 - 15 = 15°
TOWN B :
The first quartile, Q1 = 20
Third quartile, Q3 = 40
The interquartile range, IQR = Q3 - Q1 = 40 - 20 = 20°
The interquartile range (IQR) for town A, 15° is less than the IQR for town B, 20°.
Answer:
I'm going to use the following as an example.
To find the y-intercept, set x equal to 0 then solve for y.
two times zero is zero, so we have the following equation.
Solve for y
Your first point you will graph is (0, 2).
Now solve for the x intercept. To do this, set y = 0.
4(0) = 0, so you can remove it, and solve for x.
Now the next point you have is (4, 0). plot that point. Connect the two points with a line and you are done.
The first statement comes about because
a could be (say) 5
b could be (say) 6
Then c would be square root of 25 + 36 = 61 which is irrational.
I'm not sure of the wording of the second one. It reads like (5 + 6)^2 = 121 the two rationals added together make a rational number in my example. So I think that part is wrong. the second part is correct. For example sqrt(5) + sqrt(6) doesn't produce anything that is rational.
It doesn't have to. pi^2 + [cube root(10)]^2 does not produce anything rational and that is certainly not a perfect square. My first example shows that as well
I think the last one might be true.