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3 years ago

Complete the square for x^2+12x-5.

Mathematics

1 answer:

Setler [38]3 years ago

3 0

Answer:

$x^2+12x-5=(x+6)^2-41$

Step-by-step explanation:

The given expression is $x^2+12x-5$

Comparing to $ax^2+bx+c$ , we have $a=1,b=12,c=-5$

We add and subtract $(\frac{b}{2a})^2$

$x^2+12x+6^2-6^2-5$

This implies that:

$\boxed{x^2+6x+36}-36-5$

The expression in the rectangle is a perfect square

$(x+6)^2-41$

Therefore $x^2+12x-5=(x+6)^2-41$

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Please help! I’ve tried every site and nothing has helped The answer is 11.8

melamori03 [73]

Answer:

11.8%

Step-by-step explanation:

Here in this question, we want to find the probability of no success in the binomial experiment for 6 trials.

Let p = probability of success = 30% = 30/100 = 0.3

q = probability of failure = 1-p = 1-0.3 = 0.7

Now to calculate the probability, we shall need to use the Bernoulli approximation of the binomial theorem.

That would be;

P(X = 0) = 6C0 p^0 q^6

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3 years ago

9. Gold miners in Alaska have found, on average, 12 ounces of gold per 1000 tons of dirt excavated with a standard deviation of

netineya [11]

Answer:

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 12, \sigma = 3$

What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?

This is 1 subtracted by the pvalue of Z when X = 16. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{16 - 12}{3}$

$Z = 1.33$

$Z = 1.33$ has a pvalue of 0.9082

1 - 0.9082 = 0.0918

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

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3 years ago

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notka56 [123]

Answer:

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