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3 years ago

Which graph shows the solution to the system of linear inequalities?

Mathematics

1 answer:

liberstina [14]3 years ago

8 0

Answer:

Step-by-step explanation:

Sorry, can’t help. Not enough information :(

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A student takes an exam containing 1414 multiple choice questions. The probability of choosing a correct answer by knowledgeable

Readme [11.4K]

Answer:

0.0082 = 0.82% probability that he will pass

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the students guesses the correct answer, or he guesses the wrong answer. The probability of guessing the correct answer for a question is independent of 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.

In this problem we have that:

$n = 14, p = 0.3$ .

If the student makes knowledgeable guesses, what is the probability that he will pass?

He needs to guess at least 9 answers correctly. So

$P(X \geq 9) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)$

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

$P(X = 9) = C_{14,9}.(0.3)^{9}.(0.7)^{5} = 0.0066$

$P(X = 10) = C_{14,10}.(0.3)^{10}.(0.7)^{4} = 0.0014$

$P(X = 11) = C_{14,11}.(0.3)^{11}.(0.7)^{3} = 0.0002$

$P(X = 12) = C_{14,12}.(0.3)^{12}.(0.7)^{2} = 0.000024$

$P(X = 13) = C_{14,13}.(0.3)^{13}.(0.7)^{1} = 0.000002$

$P(X = 14) = C_{14,14}.(0.3)^{14}.(0.7)^{0} \cong 0$

$P(X \geq 9) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.0066 + 0.0014 + 0.0002 + 0.000024 + 0.000002 = 0.0082$

0.0082 = 0.82% probability that he will pass

6 0

3 years ago

41 5<br> ---- = ----- x=?<br> x 2

Stells [14]

$\frac{41}{x}=\frac{5}{2}\\
5x=82\\
x=\frac{82}{5}$

7 0

3 years ago

Read 2 more answers

Please help with this arc equation.

boyakko [2]

Answer:

Part 1) $arc\ AB=49^o$

Part 2) $arc\ ABC=204^o$

Part 3) $arc\ BAC=156^o$

Part 4) $arc\ ACB=311^o$

Step-by-step explanation:

Part 1) Find the measure of arc AB

we know that

$arc\ AB=m\angle AOB$ ----> by central angle

we have

$m\angle AOB=49^o$

therefore

$arc\ AB=49^o$

Part 2) Find the measure of arc ABC

we know that

The central angle of complete circle is equal to 360 degrees

$arc\ ABC=360^o-107^o-49^o=204^o$

Part 3) Find the measure of arc BAC

we know that

$arc\ BAC=arc\ BA+arc\ AC$ ----> by angle addition postulate

we have

$arc\ BA=49^o$ ---> by central angle

$arc\ AC=107^o$ ---> by central angle

$arc\ BAC=49^o+107^o=156^o$

Part 4) Find the measure of arc ACB

we know that

The central angle of complete circle is equal to 360 degrees

$arc\ ACB=360^o-arc\ AB$

substitute

$arc\ ACB=360^o-49^o=311^o$

4 0

3 years ago

What is the answer so i can pass

Lelechka [254]

Answer:

8/100 is equivalent to 0.08

Step-by-step explanation:

The second digit place to the right of the decimal point is the hundredths place, so that is where the 8 belongs because it is 8/100 in fraction form.

Hope this helped :)

6 0

3 years ago

Convert; 3 tons 675 pounds is equal to how many pounds

Rainbow [258]

1 ton = 2000 pounds. 2000 x 3 = 6000. 6000 + 675 = 6675. So there are 6675 pounds.

7 0

4 years ago

Read 2 more answers