Hello!
Since there are five short-answer questions and she randomly selects one for a quiz, this can be written as 1/5 because there are 5 choices, but only one can be selected.
Therefore, the probability that she will select question #3 is a 1/5 or 0.2 chance.
Answer:

Step-by-step explanation:
The graph in the attachment is a quadratic function whose vertex is in the fourth quadrant.
The coordinates of a point in the fourth quadrant is of the form 
Considering the options, the vertex must have coordinates
and
.
The quadratic function in vertex form is written as;

Therefore the equation of the quadratic function is;

The correct answer is option D
Answer:
x = 13
Step-by-step explanation:
Here, we want to get the missing side
from what we have, the triangle is a right angled triangle
In this kind of triangle, the Pythagoras’ theorem works
The square of the side facing the right angle ( marked x here) is equal to the sum of the squares of the two other sides
We have this as;
x^2 = 5^2 + 12^2
x^2 = 25 + 144
x^2 = 169
x = √169
x = 13
Answer:
Step-by-step explanation:
<u>Given:</u>
<u>Comparing the total cost, work out the value of x:</u>
- 2x + x + 0.2 = 3.80
- 3x = 3.60
- x = 1.20