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S_A_V [24]
3 years ago
13

Our current equation is:

Mathematics
1 answer:
inessss [21]3 years ago
8 0

Answer:

C

Step-by-step explanation:

subtracting 289 from both sides, will make one side will be equal to zero.

thus we can then easily solve for b.

can this answer get the brainliest tag?

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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
2 years ago
write about how many rotations does the bike wheel make when the bike travels 1 mile explain or show your reasoning
tatuchka [14]

Answer:

it takes 11,600

Step-by-step explanation:

because a mile is 5,280 feet and both of you feet are moving the wheels and that should be multiplied by 2.

7 0
3 years ago
Miss James has a six square-foot bulletin board in at 12 ft.² bulletin board she wants to cover both boards with index cards wit
irinina [24]
6 divided by 1/4 = 24 + 12 divided by 1/4 = 48, then 48 + 24 = 72
5 0
3 years ago
Can someone help me with this question please! <br> 5-x=12
alisha [4.7K]

Answer:

x=-7

Step-by-step explanation:

Subtract 5 from both sides.

−x=12−5

Subtract 5 from 12 to get 7.

−x=7

Multiply both sides by −1.

x=−7

3 0
3 years ago
Read 2 more answers
|4x-9|=5x Does anybody know the answer to this ?
oksano4ka [1.4K]

|4x-9|=5x

subtract 4 to both sides

and that will give you

|-9|=x then the 9 turns positive because of the brackets

9=X

3 0
3 years ago
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