3/5a = 1/4....multiply both sides by 5/3, cancelling out the 3/5 on the left
a = 1/4 * 5/3
a = 5/12
The value of z score for the history class test of Opal’s test score is negative one (-1).
<h3>What is normally distributed data?</h3>
Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data. The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
The z score for the normal distributed data can be given as,

The mean value of the scores of history class is,

The standard deviation value of the scores of history class is,

Here, the test score of the Opal’s is 72. Thus the z score for her test score can be given as,

Hence, the value of z score for the history class test of Opal’s test score is negative one (-1).
Learn more about the normally distributed data here;
brainly.com/question/6587992
Answer:
4
Step-by-step explanation:
3, 4, 4, 5, 6
Answer:
The distance between the points (2, 7) and (2, 15) is 8.
Step-by-step explanation:
<u>What is the Distance between Two Points?</u>
For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.
How to Solve:
Formula:
Putting Values:





Answer: if Gregory draws the segment with endpoints A and A’, then the midpoint will lie on the line of reflection.
Explanation:
Given that a triangle ABC is reflected in triangle A'B'C'
Here reflection is done on a line
If you imagine the line as a mirror then ABC will have image on the mirror line as A'B'C'
Recall that in a mirror the object and image would be equidistant from the mirror and also the line joining the image and object would be perpendicular to the mirror
But note that corresponding images will only be perpendicular bisector to the line
So A and A' only will be corresponding so AA' will have mid point on line
Option 1 is right