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3 years ago

I need help with this simplification-

Mathematics

1 answer:

astra-53 [7]3 years ago

7 0

Answer:

1.31

Step-by-step explanation:

= $\frac{64}{56}$ ^2 x $\frac{1}{2.92}$ ^3 x 2.48

= 1.31 x 0.40 x 2.48

= 0.524 x 2.48

= 1.31

Answer was verified and rounded

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$2.99 socks; 5.5% markup

Ket [755]

$3.15 would be the cost, after the mark up is added.

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3 years ago

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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

Is a pair of adjacent supplementary angles forms a right angle yes or no and why

finlep [7]

Yes because if they are the same size and they are about 45 degrees and at the same corner than yes they can

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3 years ago

Content://media/external/file/8717

Alja [10]

Bro what is the question

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3 years ago

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Write the names of 5 object which are longer than your hand- span in your surrounding

Semenov [28]

5 object which are longer than your hand- span in my surrounding is Note book, Laptop, Window, Curtain, Table.

Hand span is a measure of distance from the tip of the thumb to the tip of the little finger with the hand fully extended.

Hand span is a measure that has been used for many years. By placing the hand on the edge of a piece of paper and marking the tips of the thumb and little finger, the student can measure a straight line. This is a better method than placing the hand directly on the ruler.

Hand span and cubit are not used as standard units of length because their sizes vary from person to person. So, two different persons may give different measurements for the same length, which is not desirable for a standard unit.

Measure using yours hands and write as per your hand-span measurement.

Therefore,

5 object which are longer than your hand- span in my surrounding is Note book, Laptop, Window, Curtain, Table.

Find out more information about hand span here

brainly.com/question/993795

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2 years ago