What is the value of x drawing not to scale

Mathematics

2 answers:

AVprozaik [17]3 years ago

8 0

angle x would end up being equal to 71 degrees.

Margaret [11]3 years ago

3 0

Answer:

<h2>The value of <em>x </em>is 71°.</h2>

Step-by-step explanation:

The given triangle has to equal sides, this means that the triangle isosceles, from which we can deduct from the theorem of isosceles triangles that<em> the angles formed by these two equal sides are congruent.</em>

Also, we know that the sum of all internal angles of a triangle must be 180°. So

$x\° + x\° + 38\° =180\°\\2x\°=180\°-38\°\\x\°=\frac{142\°}{2}\\x\°=71\°$

Therefore, the value of <em>x </em>is 71°.

<h2 />

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Step-by-step explanation:

To solve this question, we 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:

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Normal probability distribution

Problems of normally distributed distributions 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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .