Answer:
Option 4: 0.554
Step-by-step explanation:
As we can see that the intervals and their frequencies are given.
We have to calculate the probability of students' score falling between 70 and 89. It will use the frequency of both intervals 70-79 and 80-89.
So, combined scores of both intervals are:
172+105 = 277
Now to find the probability
= 277/500
=0.554
So option no 4 is the correct answer ..
Step-by-step explanation:
<u>Step 1: Determine the axis of symmetry</u>
The axis of symmetry is middle of the parabola. In this equation we see that at x = -1 we have the vertex and also the middle of the parabola. So our axis of symmetry is x = -1.
<u>Step 2: Determine the vertex</u>
The vertex is the minimum or maximum of a parabola and is bent in a crest form. In this example the vertex is at (-1, -3) because we are using the tip of the graph.
<u>Step 3: Determine the y-intercept</u>
The y-intercept is where the graph intersects with the y-axis. In this example we intersect the y-axis at -4 so that means that our point would be (0, -4) meaning that we intersect x = 0 at -4.
<u>Step 4: Determine if the vertex is a min or max</u>
Looking at the graph we can see that the rest of the red line is beneath the vertex point which means that the vertex is a max.
<u>Step 5: Determine the domain</u>
The domain is the x-values that we are going to be using and we know that we are reaching toward positive and negative inifity which means that we are using all real numbers.
<u>Step 6: Determine the range</u>
The range is the y axis and what y values we are able to reach using the graph. In this example we can see that all y-values above -3 are not being used therefore the range is 
You’re right, it’s just 100/25.
Answer:
x = 13
Step-by-step explanation:
3x = 6x - 39 solve for x
Answer:
b both pairs of opposite sides are parallel