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4 years ago

Kelly is solving x^2 - 4x = 7 by completing the square. What number will Kelly add to both sides of the equation?

Mathematics

1 answer:

aleksandrvk [35]4 years ago

5 0

To complete the square, you add $\frac{b}{2}^2$ to both sides

so $\frac{4}{2}^2$

$2^2$

$x^2 - 4x + 4=7 + 4$

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I'll give u brianliest if you share the answer and how you got it

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Step-by-step explanation:

a:Write 65% as 65100.

65100 of 80 = 65100 × 80.

Therefore, the answer is 52. If you are using a calculator, simply enter 65÷100×80 which will give you 52 as the answer.

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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

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

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

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

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

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

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

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

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

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Answer:

What do you want your answer in? Exact or decimal form?

Exact form: 212/3

Decimal form 70.6

Step-by-step explanation:

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