Answer:
a) The expected number of questions that are answered correctly by both A and B = 11 (7 + 4).
b) The Variance of the number of questions that are answered correctly by either A or B = 2.25.
Step-by-step explanation:
Number of questions in the examination = 10
Probability of A's answer being correct = 0.7
Probability of B's answer being correct = 0.4
The expected number of questions that are answered correctly by both A and B:
Probability of Expected
Correct Answer Value Variance
A 0.7 7 (0.7 * 10) 2.25
B 0.4 4 (0.4 * 10) 2.25
Total expected value = 11
Mean = 5.5 2.25
Answer:
D
Step-by-step explanation:
360h+6,400 >8,020, with a solution is h> 4.
Answer:
See below
Step-by-step explanation:
<u>Given points:</u>
- S(-3,6),T(0,7),U(1,4),and V(-5,2)
<u>Translation rule: </u>
<u>New coordinates by applying the rule:</u>
- S'(4, -3), T'(7, -2), U'(8, -5), V'(2, -7)
See attached for the graph
The blue trapezoid is STUV and the red one is S'T'U'V'
Answer:
20in^2
Step-by-step explanation:
Since you multiply the original area of the triangle by the scale factor to get the new area, you can find the original area (before dilation) by dividing the dilated triangle's area by the scale factor. Since 100 is the area of the dilated triangle, and 5 is your scale factor, you do 100/5 to get the area of the triangle before it was dilated.
