<img src="https://tex.z-dn.net/?f=%20%7B16x%7D%5E%7B2%7D%20%20%20%20%2B%208x%20%2B%201" id="TexFormula1" title=" {16x}^{2} +

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timurjin [86]

3 years ago

8x + 1" alt=" {16x}^{2} + 8x + 1" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Musya8 [376]3 years ago

4 0

${16x}^{2} + 8x + 1 = (4x + 1)(4x + 1) = (4x + 1)^2$

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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

If you bought a stock last year for a price of $124, and it has gone down 5.6% since then, how much is the stock worth now, TO T

pychu [463]

Answer:

124*0.9=111.6

Step-by-step explanation:

6 0

3 years ago

Fred has 230 animals at his zoo. Grace at 349 more animals in her zoo than Fred has. how many animals do they have altogether? T

WARRIOR [948]

Step-by-step explanation:

okay so im in 8th grade and i just worked the problem out and i got , 809 ,

first you add 230 + 349 to see how much she has in her farm

she has 579, then you add 579 because she has that many , and he has 230 so you add 579 +230 and tou get 809

work:

230

+349

----------

579

+230

---------

809

hope i helped!!

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3 years ago

How can I find out how to divide 1/2

borishaifa [10]

Divide one half by what
IF your talking about this
100 divided by 1/2 then it would be 50 and all i did was put the multiply 100 by .5

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3 years ago

Read 2 more answers

What is the simplified form of -64 1/3? Need Help ASAP, will make brainliest answer :)!!!

alexgriva [62]

-64 1/3

disregard the negative sign for the moment...
to turn a mixed number into an improper fraction, take ur whole number (63) and multiply it by ur denominator (3) and u get (64 * 3) = 192....now add that to ur numerator (1) and u get (192 + 1) = 193...now put that over ur original denominator (3) and u get 193/3.....now put ur negative sign back....and u have - 193/3.....simplified form, does not reduce

7 0

3 years ago