Answer:
She got 9 multiple choice questions right.
She got 8 true/false questions right.
Step-by-step explanation:
you have to make them have a common denominator.
so multiply 4/5 by 2/2 and you get 8/10.
She got 9/10 multiple choice answers right and 8/10 true/false answers right.
Answer:

Step-by-step explanation:
The distance between the focus and the directrix is the vertical distance from the point to the line:
1 -(-3) = 4
The vertex is half that distance between the point and the line, so is at x=2 and ...
y = (-3 +1)/2 = -1
The vertical scale factor of the quadratic is 1/(4p) where p is the distance from vertex to focus. Here, that distance is 2, so the equation in vertex form is ...
y = (1/(4·2))(x -2)² -1
y = (1/8)(x -2)² -1
_____
<em>Check</em>
Any point on the parabola is equidistant from the focus and directrix. This is easily checked at the vertex, which is halfway between focus and directrix, and at the points having the same y-value as the focus. Those two points are (-2, 1) and (6, 1), both of which are 4 units from the focus and 4 units from the directrix.
Answer:
Step-by-step explanation:
<u>Given</u>
<u>Composite function</u>
<u>The denominator can't be zero</u>
Answer:
Let X the random variable that represent the number of emails from students the day before the midterm exam. For this case the best distribution for the random variable X is
The probability mass function for the random variable is given by:

The best answer for this case would be:
C. Poisson distribution
Step-by-step explanation:
Let X the random variable that represent the number of emails from students the day before the midterm exam. For this case the best distribution for the random variable X is
The probability mass function for the random variable is given by:
And f(x)=0 for other case.
For this distribution the expected value is the same parameter
And for this case we want to calculate this probability:

The best answer for this case would be:
C. Poisson distribution