I believe that the answer is A.)264
Answer:
Step-by-step explanation:
<u>Area formula:</u>
<u>The height is:</u>
- h = (x + 2)sin 45° = √2(x + 2)/2
<u>Substitute the area value an set an equation:</u>
- 4√2 = (2x - 3)√2(x + 2)/2
- (2x - 3)(x + 2) = 8
- 2x² + x - 6 = 8
- 2x² + x - 14 = 0
- D = 1 + 4*2*14 = 113
- x = (-1 + √113)/4 = 2.41 (rounded)
Note. the second root ignored as negative
<u>For the whole numbers:</u>
24
26
23
25
21
46
63
57
75
91
Step-by-step explanation:
We are told that for a large data set of a average student grades, the third quartile Q3 is found 78.5.
Since we know that third quartile represents the number such that 75% of the data is less than this number. Third quartile is the middle value between median and the highest value of a data set. Third quartile is also known as upper quartile. Third quartile splits lower 75% data from highest 25% of data.
Therefore, third quartile represents that 75% of student grades are less than 78.5 and 25% of students grades are greater than 78.5.
