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3 years ago

What is the relationship a - b and b - a

Mathematics

1 answer:

Ber [7]3 years ago

8 0

Step-by-step explanation:

if a>b u get a (+) value for (a - b)

if b>a u get a (-)value for (a - b)

if a>b u get a (-) value for (b - a)

if b>a u get a (+) value for (b - a)

eg .5 - 4 / 4 - 5

1 / -1

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Algebra help please I need a equation please

Rudik [331]

K = s + 4
k + s = 26
s + 4 = 26
Subtract 4 from both sides of the equation.
s = 22
Steve ran 22 miles.

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4 years ago

Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?

Leviafan [203]

Answer:

The triangle is not acute because 2² + 4² < 5².

Step-by-step explanation:

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3 years ago

6. What equation would you use to solve for x?*

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3 years ago

Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets for a flight that holds only 12

melamori03 [73]

Answer:

98.75% probability that every passenger who shows up can take the flight

Step-by-step explanation:

For each passenger who show up, there are only two possible outcomes. Either they can take the flight, or they do not. The probability of a passenger taking the flight is independent from other passenger. So the binomial probability distribution is used to solve this question.

However, we are working with a large sample. So i am going to aproximate this binomial distribution to the normal.

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