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
From July 2 to July 24=23 days
A=p(1+i/360)^(360*t)
A=4,500×(1+0.055÷360)^(360×23/360)=4,515.84
Interest earned 4515.84-4500=15.84
For each inequality, multiply the individual fractions to get the same denominator. Then you can just compare the numerators.
For example:
5/8<2/3
15/25<16/24 is true
Answer:
50/277 is also the same as 50 ÷ 277, so just divide those two numbers.
50 ÷ 277 = 0.181
Now we find out 0.181 to the nearest hundredth
To the nearest hundredth when rounding the answer will be 0.18
So your answer is 0.18
Hope I helped! :)
Answer:
140 inches cubed
Step-by-step explanation:
Use the formula V = length * width * height to find the volumes of each block, then add them together to get the combined volume. So, (5 * 4 * 5) + (4 * 5 * 2) = 140 inches cubed, which is the combined volume.
Hopefully this helps- let me know if you have any questions!