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Vsevolod [243]
2 years ago
15

A multiple choice question has 18 possible​ answers, only one of which is correct. Is it​ "significant" to answer a question cor

rectly if a random guess is​ made? Consider an event to be​ "significant" if its probability is less than or equal to 0.05.
Mathematics
1 answer:
yan [13]2 years ago
8 0

Answer:

It is not ''significant''

Step-by-step explanation:

Let's call the event

A : ''Answer a question correctly if a random guess is made''

Now we calculate the probability for the event A

P(A)=\frac{cases where A occurs}{total cases}

In the exercise A occurs in only one way and the total cases are the number of possible answers

Total cases = 18

P(A)=\frac{1}{18} =0.0555555

An event B is ''significant'' if P(B)\leq 0.05

P(A)=0.0555555

⇒A it is not a ''significant'' event

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Solve 5/3x + 1/3x = 13 1/3 + 8/3x then identify x.
belka [17]

After solving \frac{5}{3}x+\frac{1}{3}x=13\frac{1}{3}+\frac{8}{3}x we get value of x = -20

Step-by-step explanation:

We need to solve the fractions and find value of x.

The given fraction is:

\frac{5}{3}x+\frac{1}{3}x=13\frac{1}{3}+\frac{8}{3}x

Solving:

\frac{5}{3}x+\frac{1}{3}x=13\frac{1}{3}+\frac{8}{3}x\\\frac{5}{3}x+\frac{1}{3}x=\frac{40}{3}+\frac{8}{3}x\\ Subtract\,\,\frac{8}{3}x\,\,on\,\,both\,\,sides:\\ \frac{5}{3}x+\frac{1}{3}x-\frac{8}{3}x=\frac{40}{3}+\frac{8}{3}x-\frac{8}{3}x\\Simplifying:\\ \frac{5x+1x-8x}{3}=\frac{40}{3}\\ \frac{-2x}{3}=\frac{40}{3}\\Multiply\,\,both\,\,sides\,\,by\,\,3\\-2x=40\\x=\frac{40}{-2}\\x=-20

So, After solving \frac{5}{3}x+\frac{1}{3}x=13\frac{1}{3}+\frac{8}{3}x we get value of x = -20

Keywords: Solving fractions

Learn more about Solving fractions at:

  • brainly.com/question/2456302
  • brainly.com/question/1648978
  • brainly.com/question/13168205

#learnwithBrainly

3 0
2 years ago
David received his allowance on Sunday. He spends 1/4 of his allowance on Monday and 2/3 of the remainder on Tuesday. What part
Marianna [84]

Answer:1/12 left

Step-by-step explanation: you should switch both into the same denominator for the fractions so that would turn into 3/12 and 8/12 then add them up to get 11/12 so he has 1/12 left

3 0
2 years ago
The average life of a certain type and brand of battery is 75 weeks. The average life of each of 9 randomly selected batteries i
Artyom0805 [142]

Answer:

Option A

Step-by-step explanation:

Since at. 0.05 level of significance, the p value was great than 0.05 but less than 0.1, we will fail to reject the null and conclude that the sample data does not provide enough evidence that the average life of the batteries is greater than 75 weeks.

7 0
2 years ago
There is 5/6 of an apple pie left from dinner. Tomorrow, Victor plans to eat 1/6 of the pie that was left. How much of the whole
Lady_Fox [76]
5/6 = 83% 
1/6= 16%

83% of the apple pie was left from dinner. 
Victor is gonna eat 16% of the pie tomorrow 
You have to subtract 16% from 83%
In other words 5/6-1/6


The denominators are same so you don't have to do anything to them  
5/6 - 1/6 

5-1=4

4/6 of the pie would be left 
In simplest form it would be 

4/6     <span> ÷2</span>
=2/3

2/3 is in simplest form 

5 0
2 years ago
Read 2 more answers
Amber believes triangle ABC and triangle GFE are congruent. She has recorded the measures of some of the angles and the lengths
Nostrana [21]
If the triangles are congruent, the angle opposite the 32 cm side will have the same measure as angle E, 40°. An appropriate choice for this question is ...
  b. The measure of c is 40.


_____
In actual fact, the triangles not only are not congruent, they cannot exist. The total of sides FG and FE (82 cm) is less than the length of side GE (38 in). 82 cm is about 32.3 inches, about 5.7 inches too short.

Even if you overlook the units problem, the sum of squares of the sides of the triangle is 32² +38² = 2468, somewhat short of 50² = 2500. That is, the largest angle is slightly more than 90°. It is closer to 90.754° ≈ 91°.

You can label a diagram any way you want, but that doesn't mean the numbers are consistent or sensible.
6 0
2 years ago
Read 2 more answers
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