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2 years ago

I need an explanation on how to do this and an answer, please.

Mathematics

2 answers:

Fudgin [204]2 years ago

3 0

Answer:

111°

Step-by-step explanation:

the angle is question is an alternate-interior angle with the one labeled as 111° and alt-int angles are congruent

BARSIC [14]2 years ago

3 0

When looking at both images you can see they are the same angle, so when it gives you 111degree you can take that and flip it, to see th top angle, or x is also 111

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If sin(1/x^2+1) is an anti derivative for f(x), then what is the limit of f(x)dx from 1 to 2?

liubo4ka [24]

By the fundamental theorem of calculus,

$\displaystyle\int_1^2f(x)\,\mathrm dx=\sin\dfrac1{2^2+1}-\sin\dfrac1{1^2+1}$

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3 years ago

In 2000 the median size of a new single family house was 2057 square feet in 2010 the median size was 2169 square feet.

nalin [4]

Answer:

<h2> d.) 11.2 square feet per year</h2>

Step-by-step explanation:

The difference in sizes:

2169 - 2057 = 112 square feet

It is 10 years from 2000 to 2010

112:10 = 11.2

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3 years ago

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Blizzard [7]

Okay, what are you asking?

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3 years ago

An article reports that 1 in 500 people carry the defective gene that causes inherited colon cancer. In a sample of 2500 individ

Ne4ueva [31]

Answer:

The approximate distribution of the number who carry this gene is approximately normal with mean $\mu = 5$ and standard deviation $\sigma = 2.23$

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they carry the defective gene that causes inherited colon cancer, or they do not. The probability of a person carrying this gene is independent from other people. So the binomial probability distribution is used to solve this question.

A sample of 2500 individuals is quite large, so 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:

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

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