Draw the number linefrom 0 to 1 and labelpoints for1/8 to 1(should label 8 points)
1 answer:
You might be interested in
Answer:
C. 5 weeks.
Step-by-step explanation:
In this question we have a random variable that is equal to the sum of two normal-distributed random variables.
If we have two random variables X and Y, both normally distributed, the sum will have this properties:
To calculate the expected weeks that the donation exceeds $120, first we can calculate the probability of S>120:
The expected weeks can be calculated as the product of the number of weeks in the year (52) and this probability:
The nearest answer is C. 5 weeks.
Answer:
Step-by-step explanation:
This is a parabola since a quadratic is a parabola. The standard form for a parabola is y = ax² + bx + c
but before we do that, we will use the vertex form, since it will make our work easier at the beginning.
First and foremost, when we plot the vertex and the given point, the vertex is higher up than is the point; that means that this parabola opens upside down, and its vertex form will be
y=-|a|(x - h)² + k
The absolute value is out in front of the a, so we know that the value of a is positive, but the quadratic itself is negative (upside down) and we will find that math takes care of that negative that needs to be out front. So we need to solve for a by filling in the x, y, h, and k values from the point and the vertex: x = -7, y = 0, h = -3, k = 4
0 = a(-7 - (-3))² + 4 and
0 = a(-7 + 3)² + 4 and
0 = a(-4)² + 4 and
0 = a(16) + 4 and
0 = 16a + 4 and
-4 = 16a so
Now that we know a, we can plug it back into the vertex form and then put it into standard form from there.
Now we will FOIL out what's inside the parenthesis to get
Simplify by distributing the -1/4 into the parenthesis:
Combine like terms to get
And there you go!