Derivation of mean, mode, and median:

1 answer:

5 0

The Mean is the average value for a set of observations. It is found by adding all the observations in a set then dividing by the number of observations in the set.

The Median is the middle observation in a set of observations. It is found by first arranging a set of observations from smallest to largest then getting the middle observations. If a set has an uneven number of observations, the median is just the middle value. If the set has an even number of observations, the median is the average of the two middle observations.

The Mode is the observation that frequently occurs in a set.

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Two trains leave stations 256 miles apart at the same time and travel toward each other. one train travels at 70 miles per hour

Leya [2.2K]

Answer:

1.6 hours

Step-by-step explanation:

The 2 trains together are going 160 mph.

256 / 160 = 1.6 hours

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Keller lives in a city with 54,706 people. Dawson lives in a city with 45,802 people. How can the two cities that Keller and Daw

Genrish500 [490]

Answer:

54,706 > 45,802

Step-by-step explanation:

Well, as you know, the > symbol means that one number has a greater value than another. For example, 2 > 1. The way we can find that out is using subtraction. Take 54,706 - 45,802, and if that number is positive, then the first number is greater than the other.

54,706 - 45,802 = 8,904

8,904 is a positive.

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The diameter of a circle is 20 in. Find its circumference in terms of \piπ.

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Answer:

Step-by-step explanation:

$C=2\pi r$ since d=2r$ \\ \\ C=\pi d,\ d=20\\ \\ C=20\pi in$

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jane takes 4 hours to do a job that Alice can do in 3 hours. if jane works 1/2 hour before Alice joins her, how long will it tak

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2.4 hours

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3 years ago

Find the x intercepts of the parabola with vertex (-1,-16) and y intercept (0,-15)

balandron [24]

first, write the equation of the parabola in the required form: 
(y - k) = a·(x - h)² 

Here, (h, k) is given as (-1, -16). 
So you have: 
(y + 16) = a · (x + 1)² 

Unfortunately, a is not given. However, you do know one additional point on the parabola: (0, -15): 

-15 + 16 = a· (0 + 1)² 
.·. a = 1 

.·. the equation of the parabola in vertex form is 
y + 16 = (x + 1)² 

The x-intercepts are the values of x that make y = 0. So, let y = 0: 

0 + 16 = (x + 1)² 
16 = (x + 1)² 

We are trying to solve for x, so take the square root of both sides - but be CAREFUL! 

± 4 = x + 1 ...... remember both the positive and negative roots of 16...... 

Solving for x: 
x = -1 + 4, x = -1 - 4 
x = 3, x = -5. 

Or, if you prefer, (3, 0), (-5, 0).

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3 years ago