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madreJ [45]
3 years ago
5

Mathew rolls a number cube labeled with the numbers 1−6. He then flips a fair coin. What is the probability that he rolls a 4 an

d flips a head?
Mathematics
1 answer:
melomori [17]3 years ago
3 0

Answer:

1/12

Step-by-step explanation:

The probability of rolling a 4 is 1/6.

The probability of flipping heads is 1/2.

The probability of both is 1/6 × 1/2 = 1/12

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To view the graph, go to desmos.com and start graphing, then type in: y/x=2/5 and the graph will appear

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The ratio 2:5, when represented in a graph, becomes y/x=2/5 and this means that if y is 2, then x is 5, and so on, and so forth.

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What the answer to this problem I need the answer as soon as possible
DENIUS [597]

I am not that sure but I believe it would be 12 and 1/2 points since that would have brought him back up to 100%. Because if it was any other it would make his score lower than 100% or higher then 100%

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4 0
3 years ago
Read 2 more answers
According to an​ airline, flights on a certain route are on time 80 ​% of the time. suppose 10 flights are randomly selected and
natulia [17]
<span>(a) This is a binomial experiment since there are only two possible results for each data point: a flight is either on time (p = 80% = 0.8) or late (q = 1 - p = 1 - 0.8 = 0.2).
​(b) Using the formula:</span><span>
P(r out of n) = (nCr)(p^r)(q^(n-r)), where n = 10 flights, r = the number of flights that arrive on time:
P(7/10) = (10C7)(0.8)^7 (0.2)^(10 - 7) = 0.2013
Therefore, there is a 0.2013 chance that exactly 7 of 10 flights will arrive on time.
​(c) Fewer than 7 flights are on time means that we must add up the probabilities for P(0/10) up to P(6/10).
Following the same formula (this can be done using a summation on a calculator, or using Excel, to make things faster):
P(0/10) + P(1/10) + ... + P(6/10) = 0.1209
This means that there is a 0.1209 chance that less than 7 flights will be on time.
​(d) The probability that at least 7 flights are on time is the exact opposite of part (c), where less than 7 flights are on time. So instead of calculating each formula from scratch, we can simply subtract the answer in part (c) from 1.
1 - 0.1209 = 0.8791.
So there is a 0.8791 chance that at least 7 flights arrive on time.
(e) For this, we must add up P(5/10) + P(6/10) + P(7/10), which gives us
0.0264 + 0.0881 + 0.2013 = 0.3158, so the probability that between 5 to 7 flights arrive on time is 0.3158.
</span>
6 0
3 years ago
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