What is the distance between (1,4) and (-2,-3)

Mathematics

1 answer:

olga55 [171]3 years ago

7 0

Answer: I can't answer that, you'll need to know the quadrant.

Step-by-step explanation:

Quadrants are not numbered clockwise or counterclockwise, but instead are labeled by letter.

However, some people might approximate the distance mathematically with something like this equation: =sqrt(((4-1)^2) + ((3-(-2))^2)) which would give an estimation of 2.16356+8.75449 for a total approximation of 10.9095 . For people who just want to know how many units separate these points on a graph which is drawn with Cartesian coordinates it's 4 units horizontally and 3 vertically below y=1x=-2 or -4 units if y=0

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Answer:

Probability that the average salary of the 400 players exceeded $1.1 million is 0.99999.

Step-by-step explanation:

We are given that one year, professional sports players salaries averaged $1.5 million with a standard deviation of $0.9 million.

Suppose a sample of 400 major league players was taken.

Let $\bar X$ = sample average salary

The z-score probability distribution for sample mean is given by;

Z = $\frac{ \bar X -\mu}{{\frac{\sigma}{\sqrt{n} } }} }$ ~ N(0,1)

where, $\mu$ = mean salary = $1.5 million

$\sigma$ = standard deviation = $0.9 million

n = sample of players = 400

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

So, probability that the average salary of the 400 players exceeded $1.1 million is given by = P( $\bar X$ > $1.1 million)

P( $\bar X$ > $1.1 million) = P( $\frac{ \bar X -\mu}{{\frac{\sigma}{\sqrt{n} } }} }$ > $\frac{ 1.1-1.5}{{\frac{0.9}{\sqrt{400} } }} }$ ) = P(Z > -8.89) = P(Z < 8.89)

Now, in the z table the maximum value of which probability area is given is for critical value of x = 4.40 as 0.99999. So, we can assume that the above probability also has an area of 0.99999 or nearly close to 1.

Therefore, probability that the average salary of the 400 players exceeded $1.1 million is 0.99999.

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