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2 years ago

10

What is 20% as an whole number

1 answer:

SIZIF [17.4K]2 years ago

8 0

Answer:

0.2 or 1/5

Step-by-step explanation:

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If 45% of a number, n, is 225, what is 74% of n?<br><br> A. 185<br> B. 298<br> C. 370<br> D. 406

Stolb23 [73]

Answer:

C

Step-by-step explanation:

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3 years ago

M gets paid a set rate in his allowance for making his bed every morning. His rate is $0.50 earned for every morning that he mak

lord [1]

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Step-by-step explanation:

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2 years ago

Read 2 more answers

A multiple-choice examination has 15 questions, each with five answers, only one of which is correct. Suppose that one of the st

Alex

Answer:

0.0111% probability that he answers at least 10 questions correctly

Step-by-step explanation:

For each question, there are only two outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent from other questions. So 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.

A multiple-choice examination has 15 questions, each with five answers, only one of which is correct.

This means that $n = 15, p = \frac{1}{5} = 0.2$

What is the probability that he answers at least 10 questions correctly?

$P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)$

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

$P(X = 10) = C_{15,10}.(0.2)^{10}.(0.8)^{5} = 0.0001$

$P(X = 11) = C_{15,11}.(0.2)^{11}.(0.8)^{4} = 0.000011$

$P(X = 12) = C_{15,12}.(0.2)^{12}.(0.8)^{3} \cong 0$

$P(X = 13) = C_{15,13}.(0.2)^{13}.(0.8)^{2} \cong 0$

$P(X = 14) = C_{15,14}.(0.2)^{14}.(0.8)^{1} \cong 0$

$P(X = 15) = C_{15,15}.(0.2)^{15}.(0.8)^{0} \cong 0$

$P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.0001 + 0.000011 = 0.000111$

0.0111% probability that he answers at least 10 questions correctly

3 0

3 years ago

What is the quotient if 3/16 of 30 is divided by 5/6 of 3/4? Reduce, if possible.

Triss [41]

It would be equal to 9

3 0

3 years ago

Evaluate the expression (- n) ^ (n + n) + n ^ (n - n) , when n = 2

sladkih [1.3K]

Answer:

17

Step-by-step explanation:

Substitute the value of the variable and simplify.

$(-(2))^{(2+2)} +2^{(2-2)}$

$-2x^{2+2} =2^{4} = 16$

$2^{2-2} =2^{0}$

Anything raised to the power of 0 is one.

16 + 1 = 17

5 0

3 years ago