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slamgirl [31]
4 years ago
9

A test has multiple choice questions with 5 choices for each answer, only one answer is correct for each question. Suppose a stu

dent guesses the answer to each question. Assuming the guesses are independent, find the probability that the student will not guess correctly on any one question.
Mathematics
1 answer:
Brrunno [24]4 years ago
6 0

Answer:

The probability that the student will not guess correctly on any one question is 4/5

Step-by-step explanation:

The question posed is an application of the binomial probability distribution.

We have been informed that the test has multiple choice questions with 5 choices for each answer that only one answer is correct for each question.

If the student guesses the answer to each question, then the probability that the student will guess correctly on any one question is 1/5.

Therefore, the probability that the student will not guess correctly on any one question is;

1 - 1/5 = 4/5

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A fair die is cast four times. Calculate the probability of obtaining exactly two 6's. Round to the nearest tenth of a percent
ycow [4]

Answer:

16.7%

Step-by-step explanation:

So a fair dice has 6 sides on it total with sides 1,2,3,4,5,6

every time you throw your dice you have the probability of getting a 6 only 1/6 of a time. Getting two 6's can happen 6 different ways in your four rolls so you simply plug  4C2 into your calculator and you get 6!!

The probability of getting two 6's is 6×1/36 = 1/6

as a decimal that equals 0.16666 repeating so multiply tat by 100 and you get 16.7%

8 0
4 years ago
Read 2 more answers
Helen and Rebecca baked some muffins in the ratio 2:5. After Helen baked another 12 muffins, the ratio become 1:2. How many muff
storchak [24]
<h3>Answer:  60 muffins</h3>

=========================================================

Explanation:

x = some positive whole number

2x = amount Helen baked initially

5x = amount Rebecca baked initially

Notice that the ratio 2x:5x reduces to 2:5 after dividing both parts by x.

So (2x)/(5x) = 2/5

Helen then bakes another 12 muffins, bumping the 2x up to 2x+12. The ratio is now 1:2, which means,

(amount Helen bakes)/(amount Rebecca bakes) = 1/2

(2x+12)/(5x) = 1/2

2(2x+12) = 5x*1 .... cross multiply

4x+24 = 5x

24 = 5x-4x

24 = x

x = 24

From here, we then can say,

  • Helen = 2x+12 = 2*24+12 = 48+12 = 60
  • Rebecca = 5x = 5*24 = 120

Helen baked 60 muffins and Rebecca baked 120 muffins. We see that 60:120 reduces to 1:2 after dividing both parts by the GCF 60.

Furthermore, note how

  • 2x = 2*24 = 48
  • 5x = 5*24 = 120
  • 48:120 reduces to 2:5 after dividing both parts by 24

This helps confirm we have the correct answer.

6 0
3 years ago
What is 8 times is as close to 71 as you can get without going over
Kay [80]
8 times 8 is the closest you can get to 71 without going over, since 8 times 9 would be 72.
5 0
4 years ago
Read 2 more answers
Determine mu Subscript x overbar and sigma Subscript x overbar from the given parameters of the population and the sample size.
Veronika [31]

Answer:

Step-by-step explanation:

i  am sorry i do not know the

answer

3 0
3 years ago
Solve each of the following equations<br><br> a.3x+4=21<br> b.2x-13=3x+18<br> c.6/15=3/x
Readme [11.4K]
A) 3x+4=21
    3x=21-4
    3x=17
      x=17÷3
      x= 5.7

7 0
3 years ago
Read 2 more answers
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