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3 years ago

Find the value of x ASAP

Mathematics

1 answer:

e-lub [12.9K]3 years ago

6 0

The correct answer is 9.

Because they share a common angle at the top, we know that we can create a proportion using similar sides.

$\frac{Outside LEFT}{Bottom LEFT} = \frac{Outside RIGHT}{Bottom RIGHT}$

$\frac{12}{8} = \frac{x}{6}$

Now we can cross multiply to solve.

12*6 = 8*x

72 = 8x

9 = x

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3 years ago

PLEASE HELP FAST

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4 years ago

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4 years ago

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4 years ago

According to a 2009 Reader's Digest article, people throw away approximately 11% of what they buy at the grocery store. Assume t

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0.14% probability that the sample proportion exceeds 0.2

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .