What is the average speed of 249 miles and 4 hours and 58 minutes

Triangle ABC is an equilateral triangle with side lengths labeled a, b, and c.

Butoxors [25]

Answer:

the answers are all bold below

Step-by-step explanation:

Triangle ABC is an equilateral triangle with side lengths labeled a, b, and c.

Triangle A B C is an equilateral triangle. The length of side A B is c, the length of B C is a, and the length of A C is b.

Trigonometric area formula: Area = One-half a b sine (C)

Which expressions represent the area of triangle ABC? Select three options.

a c sine (60 degrees)

One-half b c sine (60 degrees)

One-half a squared sine (60 degrees)

StartFraction a squared b sine (60 degrees) Over 2 EndFraction

StartFraction a b sine (60 degrees) Over 2 EndFraction

6 0

3 years ago

Read 2 more answers

An art gallery has 18 paintings and 4 photographs displayed in equal rows on a wall with the same number of each type of art in

Ksivusya [100]

The answer could be 1 or 2

4 0

3 years ago

If i= the square root of -1 what is the value of i^3

BARSIC [14]

i =√-1

i^2 = -1

so

i^3

= i^2 * i

= -1√-1

= - √-1

5 0

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