What is the value of x and what type of angle is it ?

Mathematics

1 answer:

meriva2 years ago

6 0

Answer:

This is called a supplementary angle. x = 12°

And for extra credit:

y is a vertical angle to 60° and a supplementary angle to x so

y = 60°

Step-by-step explanation:

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2x+2y=8 in function form step by step please?

nasty-shy [4]

You could get two different functions out of this:

2x + 2y = 8

1). 'y' as a function of 'x'

Subtract 2x from each side: 2y = -2x + 8

Divide each side by 2 :  y = -x + 4

2).  'x' as a function of 'y' :

Subtract 2y from each side: 2x = -2y + 8

Divide each side by 2 :  x = -y + 4

Those two functions look the same, but that's just because the original
equation given in the problem was so symmetrical. In general, they're
not the same function.

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A circle has an area of 9. What is the circumference?

Len [333]

The circumference of the circle is 10.36

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According to a Yale program on climate change communication survey, 71% of Americans think global warming is happening.† (a) For

SpyIntel [72]

Answer:

a) 0.2741 = 27.41% probability that at least 13 believe global warming is occurring

b) 0.7611 = 76.11% probability that at least 110 believe global warming is occurring

Step-by-step explanation:

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.

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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .