Answer:
P(X < 4) = 0.5
Step-by-step explanation:
For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent of any other question. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this question, we have that:

Find the probability that the number of correct answers is fewer than 4:
This is







So
P(X < 4) = 0.5
if u calculate 3 1/4 u would get 13/4
This means to get the reciprocal fraction of 13/4 just turn it upside down like this
13/4= 4/13 so ur answer is 4/13
The correct answer among all the other choices is a bell-shaped curve, better known as a normal distribution. This is the curve that is most likely to fit the histogram. Thank you for posting your question. I hope this answer helped you. Let me know if you need more help.
Answer:
- 1.25 hours or 1 hour and 15 minutes
Step-by-step explanation:
<em>Question</em>
- <em>Lisa lit a candle with a height of 8 inches. When lit, this candle loses 10% of its original height every hour. </em>
- <em>Please complete the following sentence by writing the number in the blank.
Until the candle has been burning for at least _______ hours, the height of Jennifer's candle will be more than 7 inches.</em>
<u>Candle looses 10% of 8 inches, it equals:</u>
- 8*0.1 = 0.8 inches an hour
<u>Let x be required time, then:</u>
- 8 - 0.8x > 7
- 0.8x < 8 - 7
- 0.8x < 1
- x < 1/0.8
- x < 1.25
- or 1 hour 15 minutes
Answer:
11 17/24
Step-by-step explanation:
To find this out we have to first find out the least common denominator for 8 and 3 which would be 24, now we have to switch both denominators to 24 but also have to switch the numerators to how much we multiplied the denomintors by and then add. so we multiplied 8 by 3 to get it to 24 so we multiply the numerator 3 by 3 as well. and for the second fraction we multiply the denominator 3 by 8 to get 24 so we multiply the nuerator by 8 as well. so...
6 3/8+ 5 1/3= 6 9/24 + 5 8/24 = 11 17/24