Answer: d) 5/7
Step-by-step explanation:
10 out of 35 of the students are girls. The number of boys is therefore:
= 35 - 10
= 25 boys
Probability that the winner is a boy is:
= 25/35
Take that fraction to the simplest by dividing both by 5:
= 5/7
Your answer is 10^(- 4).
Think about how exponents with a base 10 work. 10^1 = 10, 10^2 = 100, 10^3 = 1000. It's just add a zero to the right side as you go up.
Then think about 10^0. Anything to a zero power is 1. Only way to go is into negative exponents now. If for positive exponents on 10 we add a zero to the right side, then for negative exponents we add them to the left. Only difference is we have a decimal.
10^(- 1) = 0.1
10^(- 2) = 0.01
10^(- 3) = 0.001
And then your answer
10^(- 4) = 0.0001
Hopefully that explanation makes sense. Exponents can be rough to explain when you're not face-to-face or using some sort of live animation to talk through it. If you're still confused, I'd suggest talking to your instructor.
Answer:
(0,2)
Step-by-step explanation:

(0,2)
Hope this helps!
Answer:
constant of variation
Step-by-step explanation:
Constant of variation and constant of proportionality mean the same and they are used in variations.
For instance:

In the above equation, y varies directly as x and the constant of proportionality or variation is 2.
<em>It is often represented with k (though, other alphabets can also be used)</em>
Answer:
The correct option is O B'
Step-by-step explanation:
We have a quadrilateral with vertices A, B, C and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units away from the line, C is 7 units away from the line and D is 9 units away from the line.
Now we perform the reflection and we obtain a new quadrilateral A'B'C'D'.
In order to apply the reflection to the original quadrilateral ABCD, we perform the reflection to all of its points, particularly to its vertices.
Wherever we have a point X and a line of reflection L and we perform the reflection, the new point X' will keep its original distance from the line of reflection (this is an important concept in order to understand the exercise).
I will attach a drawing with an example.
Finally, we only have to look at the vertices and its original distances to answer the question.
The vertice that is closest to the line of reflection is B (the distance is 4 units). We answer O B'