Answer: B. 9
Step-by-step explanation:
First, find the median of the data set. This set has an even number of points, so find the average between the two middle points: 18 and 19. 18+19 = 37. 37/2 = 18.5. <em>The median is 18.5.</em>
Now, to find the lower quartile, find the median of the lower half of the data set {11, 12, 14, 15, 18}. The number in the middle is 14. <em>The lower quartile is 14.</em>
To find the upper quartile, find the median of the upper half of the data set {19, 21, 23, 25, 55}. The number in the middle is 23. <em>The upper quartile is 23.</em>
To find the interquartile range, subtract the lower quartile from the upper quartile. 23-14 = 9. <em>The interquartile range is 9.</em>
Angle 3: 24 degrees- the angle across from it is 24 which makes this one 24 so it’s congruent.
Angle 1 and 4: 78 degrees- on one side of these angles (the line the seperates it running parallel) the angles total to 180 degrees, we take angle 3 which was 24 and subtract that from 180. That equals 156 which we then divide into two because we have two angles left to solve for which makes 78 each.
Angle 2: 71 degrees- We know angle 3 is 24 and we have a written angle as 85. Knowing each side of these angles equals 180 degrees, we add 85 and 24 to get 109. We then will subtract 180 from 109 to get our missing angle which is 71 degrees.
I hope I could help :)
48.
For the rectangle, 4x6 =24
For the triangle, area of the triangle is 1/2 x base x height. So, 24.
Add together is 48
The addition property of equality
This question is incomplete because the options were not written properly.
Complete Question
On Tuesday Jack bought four boxes. On Wednesday half of all the boxes that he had were destroyed.
Write an expression for how many boxes Jack has now
A. 1/2b+4
B. 1/2+4b
C. 4b−1/2b
D. b+42/2
Answer:
C. 4b−1/2b
Step-by-step explanation:
Let the number of boxes that Jack has be represented by b
In the question, we are told that:
• On Tuesday, Jack bought 4 boxes
Since 1 box = b
4 boxes = 4b
• On Wednesday , half of the boxes where destroyed.
= 1/2 b
The expression for how many boxes Jack has now is given as
Number of boxes Jack bought in Tuesday - half of the boxes destroyers on Wednesday.
This is expressed mathematically as:
4b - 1/2b
