Answer:
Option 3 (C)
Step-by-step explanation:
Given the scores of the students: 3, 4, 4, 5, 5, 6, 8, 10, 10, 12, 15, 18
To find the box plot that represents the data set, we need to find:
Min, Q1, median, Q3, and Max, which are all represented on a box plot.
Min = 3
Max = 18
Median = the average of the 6th and 7th data value = (6+8)/2 = 14/2 = 7
Q1 = the average of the 3rd and 4th data values = (4+5)/2 = 4.5
Q3 = the average of the 9th and 10th data values = (10+12)/2 = 11
The box plot that closely represented all these values is the box plot in option 3.
Answer:
Option B) y = 50
Step-by-step explanation:
We are given the following information:
Two parallel lines are crossed by a transversal.
The attached image shows the intersection of transversal and the angles.
As clear from the image, the given pair of angles form alternate interior angles.
If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent or equal
Thus, y = 50 degree
This question is easy if you think about it. First get the area of the rectangular part of the shape and then find area of the two semi-circles then add them together.
First, let's solve for the rectangle because it's easier.
Area for finding a rectangle A = w * l
A = 23 * 37
A = 851
Now for the semi-circle. First use the equation for finding the area of a circle which is A = Pi * r^2. We'll use 3.14 for Pi.
We know the diameter is 23. And to get the radius we just half it because the radius is half of the diameter.
23 / 2 = 11.5
A = 3.14 * 11.5^2
A = 3.14 * <span>132.25
</span>A = <span>415.265
</span>
Now we have the total area for both semi-circles. Because if we half 415.265 then add the other semi-circle's area it will be the same and adding them up will result in 415.265.
Now add up 851 and 415.265.
851 + 415.265 = <span>1266.265</span>
