Answer:
A. 3cm by 3cm by 2cm or 6cm by 3cm by 1cm
B. 3cm by 3cm by 2cm
Step-by-step explanation:
POSSIBLE DEMENSIONS
3cm by 3cm by 2cm = 18cm^3
6cm by 3cm by 1cm = 18cm^3
LEAST AMOUNT OF MATERIAL
3 by 3 by 2 would mean 6cm squared of material per side
6 + 6 + 6 + 6 + 6 + 6 = 6 times 6 = 36
Total : 6 sides = 36cm^2 used
6 by 3 by 1 would mean 2 sides of 6cm^2, 2 sides of 3cm^2 and 2 sides of 18cm^2
18 + (6 + 6) + (3 + 3) =
18 + 12 + 9 =
30 + 9 = 39
Total: 39cm^2
Answer:
1/2 and 1/3
LCM of 2,3=6
1/2=1/2×3/3=3/6
1/3=1/3×2/2=2/6
The six rational number
3/6=3/6×10/10=30/60
2/6=2/6×10/10=20/60
20/60,[21/60,22/60,23/60,24/60,25/60,26/60]....30/60.
1/2 and 1/3
LCM of 2,3=6
1/2=1/2×3/3=3/6
1/3=1/3×2/2=2/6
The six rational number
3/6=3/6×10/10=30/60
2/6=2/6×10/10=20/60
20/60,[21/60,22/60,23/60,24/60,25/60,26/60]....30/60.
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B is the answer to your question
Answer:
a) 0.0016
b) 0.0224
Step-by-step explanation:
If every question has 5 possible answers, the probability of getting the correct answer by guessing would be 0.20. The probability of getting an incorrect answer would be 0.80.
a)Find the probability she lucks out and answers all four questions correctly.
To do this, Allison would have to guess right the first, second, third AND fourth answers. Therefore, we have to multiply the probabilities:
0.20 x 0.20 x 0.20 x 0.20 = 0.0016
The probability that she answers all 4 questions correctly is 0.0016.
b) Find the probability that she passes the quiz.
To pass the quiz, she has to have three OR 4 correct answers:
- The probability that she has 3 correct answers is: 0.20 x 0.20 x 0.20 x 0.80 (since she has to have 1 correct answer and 1 incorrect one) = .0064.
- We already calculated the probability that she guesses 4 answers correctly: 0.0016.
Now, we have to sum up these two scenarios:
0.0064 + 0.016 = 0.0224.
Thus, the probability that she passes the quiz is 0.0224