Some of the data are shown below.
Which statement is true about the joint frequencies in
this table?
40
11 | 12 |
Total
O Twenty-three 9th graders and fifteen 11th graders
prefer math.
O Fourteen 11th graders prefer math and eight 10th
graders prefer science.
O Thirty-five 12th graders prefer math and nine 10th
graders prefer science.
Twenty-three 9th graders and thirty-two 12th
graders prefer math.
Math
18
90
Science 40
15
95
Total
63
26
29
67
185
Question:
a. Twenty-three ninth graders and fifteen eleventh graders prefer math.
b. Fourteen eleventh graders prefer math and eight tenth graders prefer English.
c. Thirty-five twelfth graders prefer math and nine tenth graders prefer English.
d. Twenty-three ninth graders and thirty-five twelfth graders prefer math.
e. Eighteen tenth graders prefer English and fourteen eleventh graders prefer math.
Answer:
Therefore, the correct options are;
b. and d.
Step-by-step explanation:
Here we have a table with blank boxes and totals from which we can fill the boxes;
For the 12th graders, we have a total of 67 pupils with 32 preferring English, therefore the number of the 12th graders that prefer math is 67 - 32 = 35 pupils
Similarly for the 11th graders we have total pupils = 29 with 15 preferring English, therefore the number of the 11th graders that prefer math is 29 - 15 = 14 pupils
Also for the 10th graders we have total pupils = 26 with 18 preferring math, therefore the number of the 11th graders that prefer English is 26 - 18 = 8 pupils
Finally for the 9th graders, we have a total of 63 pupils with 40 preferring English, therefore the number of the 9th graders that prefer math is 63 - 40 = 23 pupils
From the above, the correct option is
Answer:
b only
Step-by-step explanation:
1. Solve for x: 2x + 4 > 8x – 8
Answer:
Step-by-step explanation:
hello :
2x + 4 > 8x – 8 means : 2x-8x > -8-4
-6x > -12
now multiply by -1 : 6x < 12
x < 12/6
x < 2
Answer:
The height of right triangular prism is 7.5 in.
Step-by-step explanation:
The base is a right triangle with a base height of 6 inches and a base length of 8 inches. The length of the third side of the base is 10 inches.
The area of a triangle is
Let the height of the prism be h.
Area of a rectangle is
The surface area of a right triangular prism is
The surface area of a right triangular prism is 228 square inches.
Therefore the height of right triangular prism is 7.5 in.