A science fair has 180 entries. There are 72 entries from sixth grade students.
1 answer:
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Answer:
The probability of getting 6's on both cubes is .
The probability that the total score is at least 11 is .
Step-by-step explanation:
Consider the provided information.
A red cube has faces labeled 1 through 6, and a blue cube has faces labeled in the same way.
Part (A) Both cubes show 6’s.
Probability of getting 6 on red cube is
Probability of getting 6 on blue cube is
Thus, the probability of getting 6's on both cubes is:
Hence, the probability of getting 6's on both cubes is .
Part (B) The total score is at least 11.
The possible number of outcomes in which total score is at least 11 is:
Red shows 6 and Blue shows 5.
Blue shows 6 and Red shows 5.
Blue shows 6 and Red shows 6.
Thus, the probability of total score is at least 11.
Hence, the probability that the total score is at least 11 is .
Answer:
- 7.71 km²
Step-by-step explanation:
<u>Area of triangle:</u>
- A = 1/2bh
We have the value of b but not h.
Added auxiliary segments which help to find the value of h.
<em>See attached for details</em>
- sin 40° = h/4
- h = 4 sin 40°
- h = 2.57 km
<u>The area is:</u>
- A = 1/2*6*2.57 = 7.71 km²
