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Musya8 [376]
3 years ago
8

Can someone help me with b

Mathematics
1 answer:
larisa86 [58]3 years ago
8 0

Answer:

A) is actually 10 1/3 B) is  5 14/15

Step-by-step explanation:

Please Mark Brainliest if i get the correct answer. 100% sure the answer is right . adn i use a calculator soup

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Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are n=7 trials, each with
Vedmedyk [2.9K]

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.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

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

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this question, we have that:

n = 7, p = 0.5

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

This is

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{7,0}.(0.5)^{0}.(0.5)^{7} = 0.0078

P(X = 1) = C_{7,1}.(0.5)^{1}.(0.5)^{6} = 0.0547

P(X = 2) = C_{7,2}.(0.5)^{2}.(0.5)^{5} = 0.1641

P(X = 3) = C_{7,3}.(0.5)^{3}.(0.5)^{4} = 0.2734

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0078 + 0.0547 + 0.1641 + 0.2734 = 0.5

So

P(X < 4) = 0.5

6 0
3 years ago
What is the reciprocal of 3 1/4?
Lyrx [107]
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
8 0
3 years ago
Read 2 more answers
If the weights of 1,000 adult men in a county are plotted on a histogram, which curve is most likely to fit the histogram?
melomori [17]
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. 
8 0
4 years ago
Lisa lit a candle with a height of 8 inches. When lit, this candle loses 10% of its original
Ivanshal [37]

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
7 0
3 years ago
6 3/8+5 1/3 what is the answer and how do you figure it out
inn [45]

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

8 0
3 years ago
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