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malfutka [58]
2 years ago
12

Don'te is sitting on the bus on the way home from school and is thinking about the fact that he has three homework assignments t

o do tonight. The table below shows his estimated probabilities of completing 0, 1, 2, or all 3 of the assignments.

Mathematics
1 answer:
madam [21]2 years ago
8 0

Answer:

Its b

Step-by-step explanation:

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Answer:

b. Because the probability of being 15 or more correct is 0.0207, it is likely that she is just guessing at the questions.

Step-by-step explanation:

-This is a binomial probability distribution with p=0.5, n=20 and x=15.

The function is expressed as:

P(X=x)={n\choose x}p^x(1-p)^{n-x}

We calculate the probability of guessing 15 or more correctly:

P(X\geq 15)=1-P(X

The probability of passing, guessing 15+ correctly, is 0.0207. This probability is very low and it is  it is likely that she is just guessing at the questions

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Neporo4naja [7]

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3 years ago
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Simplify 7^-5/6*7^-7/6
DochEvi [55]

So the rule with multiplying exponents of the same base is x^m*x^n=x^{m+n} . Apply this rule here:

7^{-\frac{5}{6}}*7^{-\frac{7}{6}}=7^{-\frac{5}{6}+{-\frac{7}{6}}}=7^{-\frac{12}{6}}=7^{-2}

Next, the rule with converting negative exponents into positive ones is x^{-m}=\frac{1}{x^m} . Apply this rule here:

7^{-2}=\frac{1}{7^2}=\frac{1}{49}

<u>Your final answer is 1/49.</u>

<h2>------------------------------------------------</h2>

So an additional rule when it comes to exponents is x^{\frac{m}{n}}=\sqrt[n]{x^m}

In this case, your fractional exponent, x^9/7, would be converted to \sqrt[7]{x^9} . However, I had just realized you can further expand this.

Remember the rule I had mentioned earlier about multiplying exponents of the same base? Well, you can apply it here:

\sqrt[7]{x^9}=\sqrt[7]{x^7*x^2}=x\sqrt[7]{x^2}

Your final answer would be x\sqrt[7]{x^2}

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You have 2 5/8 pizzas to share equally with 3 people. How much will each person get?
Hitman42 [59]
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