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3 years ago

Finding missing data With given mean

1 answer:

5 0

To find a missing number in a data set given the mean of the data set, count the total number of data points in the data set, including the missing number, and multiply the mean by this total number. Next, add together the known numbers in the data set. Finally, take the difference of the two numbers just calculated.

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Which equation can be used to find x, the length of the hypotenuse of the right triangle? A triangle has side lengths 18, 24, x.

natima [27]

Answer:

A triangle has side lengths 18, 24, x.

18 + 24 = x

18 squared + 24 = x

(18 + 24) squared = x squared

18 squared + 24 squared = x squared

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

In Grafton, a rural area in Vermont, the distance (in meters) between telephone poles has a uniform distribution between 40 and

coldgirl [10]

Answer:

a) 60% probability that the distance is environment friendly.

b) The mean of the distances between the telephone poles is 52.5 meters.

c) The standard deviation of the distance between the telephone poles is 7.22 meters.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Uniform distribution between 40 and 65 meters.

This means that $a = 40, b = 65$

a) Any distance between poles greater than 50 meters is considered to be environment friendly. What is the probability that the distance is environment friendly?

This is $P(X > 50)$

We have that

$P(X \leq 50) + P(X > 50) = 1$

$P(X > 50) = 1 - P(X \leq 50)$

$P(X \leq 50) = \frac{50 - 40}{65 - 40} = 0.4$

$P(X > 50) = 1 - P(X \leq 50) = 1 - 0.4 = 0.6$

60% probability that the distance is environment friendly.

b) Find the mean of the distances between the telephone poles

The mean of the uniform distribution is

$M = \frac{a + b}{2}$

$M = \frac{a + b}{2} = \frac{40 + 65}{2} = 52.5$

c) Find the standard deviation of the distance between the telephone poles.

The standard deviation of the uniform distribution is:

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

$S = \sqrt{\frac{(65-40)^{2}}{12}} = 7.22$

5 0

3 years ago

A ladder leans against a building. The foot of the ladder is 6 feet from the building.The ladder reaches a height of 14 feet on

lesantik [10]

Use the Pythagorean Theorem
6 feet and 14 feet are the "legs" and the ladder length is the hypotenuse.
hypotenuse^2 = 6^2 + 14^2
hypotenuse^2 = 36 + 196
hypotenuse^2 = 232
hypotenuse = 15.2315462117 
ladder length = 15 feet

Source:
http://www.1728.org/pythgorn.htm

3 0

3 years ago

Which polynomial is a perfect square trinomial?

sineoko [7]

Assuming the 2nd one is 4a^2 - 20a +25, it is the one you're looking for. It factors to be (2a-5)^2

4 0

3 years ago

Read 2 more answers

There are 30.48 centimeters in 1 foot. About how many feet are equivalent to 500 centimeters

Rudiy27

500 centimeters equal 16.4042 feet

5 0

3 years ago