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Scrat [10]
3 years ago
12

A person is taking a 77​-question ​multiple-choice test for which each question has three answer​ choices, only one of which is

correct. The person decides on answers by rolling a fair die and marking the first answer choice if the die shows 1 or​ 2, the second if it shows 3 or​ 4, and the third if it shows 5 or 6. Find the probability that the person gets fewer than 33 correct answersanswers?
Mathematics
1 answer:
noname [10]3 years ago
3 0

Answer:

0.9488

Step-by-step explanation:

We have a binomial experiment with n = 77 independent trials, in each trial, we can have a success or a fail, the probability of success is p = 1/3 (q = 2/3) because each question has three answer choices and only one is correct, besides the person decides on answers by rolling a fair die. Therefore, the probability that the person gets exactly x correct answers is given by  

P(X = x) = (77Cx)p^{x}q^{n-x} and the probability that the person gets fewer than 33 correct answers is given by P(X < 33) = \sum_{x=1}^{32}(77Cx)(1/3)^{x}(2/3)^{77-x} = 0.9488

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In a survey, four out of five people surveyed preferred creamy over chunky peanut butter. 120 people are shopping at the grocery
elixir [45]

Answer: Around 96 people would prefer creamy peanut butter.

Step-by-step explanation:

In the survey was found that 4 out of 5 preferred creamy over chunky peanut butter.

Then the relative frequency is:

4/5 = 0.8 prefer creamy peanut butter.

And we can assume that:

1/5 = 0.2 prefer chunky peanut butter.

We also could multiply these numbers by 100% to obtain the percentage forms:

0.8*100% = 80%

0.2*100% = 20%

Now, if there are 120 people in the grocery store, we can expect that the 80% will prefer creamy peanut butter.

Then we can expect that the number of people that prefers creamy peanut butter is:

N = (80%/100%)*120 = 0.8*120 = 96

Around 96 people would prefer creamy peanut butter.

3 0
3 years ago
Find a fraction in between 21/34 and 34/55
sashaice [31]

Answer:

A fraction between that is 2311/3740

Step-by-step explanation:

This is because the denominator is simplified into one number and the fraction is taken from there.

3 0
3 years ago
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Which represents the reflection of f(x)=sqrt x over the y axis
zloy xaker [14]

reflection of f(x)=\sqrt{x} over the y axis we get g(x)=\sqrt{-x}

Step-by-step explanation:

We need to find the reflection of f(x)=sqrt x over the y axis

So, reflection over y- axis

If the function f(x) is transformed over y-axis then the new function g(x) will be g(x)= f(-x)

So, finding reflection of f(x)=\sqrt{x} over the y axis we get:

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So, reflection of f(x)=\sqrt{x} over the y axis we get g(x)=\sqrt{-x}

Keywords: Transformations

Learn more about Transformations at:

  • brainly.com/question/2415963
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4 years ago
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3 years ago
Please help with the question,
castortr0y [4]
The correct answer is x^2-2x+2=0

 The explanation is shown below:

 1. To solve the problem shown in the figure above, you must apply the following proccedure:

 2. You have that the roots of the quadratic equation shown in the figure attached in the problem are:

  x=-1±i

 3.  Then, you know the quadratic formula to solve quadratic equations, which is:

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 5. Therefore, you can conclude tha the quadratic equation is:

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 6. If you want to verify it, apply the quadratic formula to the quadratic equation shown above and you will obtain the roots shown in the figure.
8 0
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