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
0 + -4 = -4
the 0 has no value and cannot add anything on top of the -4
So -4 stays the same:)
Answer = -4
Good Luck! :)
The two angles form a straight line and need to equal 180 when added together:
7x + 28 + 33 = 180
Simplify:
7x + 61 = 180
Subtract 61 from both sides
7x = 119
Divide both sides by 7
X = 17
Answer: B.17
D a rhombus has Diagonals that are not necessarily perpendicular
Using a calculator, 1200/180 = 6.67 approximately
If you use long division, then you'll get what you see in the diagram below
The 6's go on forever after the decimal point, but if you round to two decimal places, then you'll get that approximate value of 6.67
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If you want a remainder, then 1200/180 = 6 remainder 120
You can think of it like you having 1200 cookies and 180 friends. Each friend will get 6 whole cookies and there will be 120 left over as the remainder.
