When it is said that a variable is inversely proportional to another, it is best to write out an equation to represent it.

This means;

y=k/x (where k is a constant number like 1 or 2, etc)

If you double x, the value of y is halved. I have attached a graph that shows this.

Hope I helped :)

4 0

3 years ago

Which shapes could this hexagon be decomposed into to find its area? Choose all that apply (3 points).

Scilla [17]

You can do:

-two trapezoids
-six triangles
-two parallelograms

You can't put it into one rectangle, that will definitely not work.

As you can see from the attachment, triangles work, trapezoid as well, and two parallelograms. The one rectangle would not work.

I hope this helps!
~kaikers

3 0

3 years ago

During an experiment, some water was removed from each of the 6 water tanks. If the standard deviation of the volumes of water i

Julli [10]

Answer:

First statement is correct.

Step-by-step explanation:

If we add or subtract a constant to each term in a set: Mean will increase or decrease by the same constant. Standard Deviation will not change.

If we increase or decrease each term in a set by the same percent (multiply all terms by the constant): Mean will increase or decrease by the same percent. Standard Deviation will increase or decrease by the same percent.

For example:

Standard Deviation of a set: {1,1,4} will be the same as that of {5,5,8} as second set is obtained by adding 4 to each term of the first set.

That's because Standard Deviation shows how much variation there is from the mean. And when adding or subtracting a constant to each term we are shifting the mean of the set by this constant (mean will increase or decrease by the same constant) but the variation from the mean remains the same as all terms are also shifted by the same constant.

So according to this rule, statement (1) is sufficient to get new Standard Deviation, it'll be 30% less than the old.. As for statement (2) it's clearly insufficient as knowing mean gives us no help in getting new Standard Deviation.

6 0

3 years ago

What is the equivalent decimal to this fraction? 10/45 0.2 0.222222222... 0.232323232323... 0.181818181818...

Ivan

Factorize the numerator and denominator, then simplify:

10/45 = (2×5)/(9×5) = 2/9

Now,

1/9 = 1/10 + 1/90

1/90 = 1/10 × 1/9 = 1/10 × (1/10 + 1/90) = 1/100 + 1/900

1/900 = 1/100 × 1/9 = 1/100 × (1/10 + 1/90) = 1/1000 + 1/9000

and so on, which is to say

1/9 = 1/10 + 1/100 + 1/1000 + …

1/9 = 0.111…

so that multiplying both sides by 2 gives

2/9 = 0.222…

5 0

2 years ago