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ratelena [41]
3 years ago
7

A 30 foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from th

e base of the building how far above the ground is the point where the ladder touches the building
Mathematics
1 answer:
dem82 [27]3 years ago
3 0

Answer:

21.42ft

Step-by-step explanation:

a²+b²=c² where "c" is the hypotenuse of a right triangle and "a" and "b" are the two other sides

now let's plug in the values

21²+b²=30²

b²= 30² - 21²

b²= 459

b= 21.42

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Determine the midpoint between the points (-5, -3) and (-1, 1).
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A company decides to investigate the amount of sick leave taken by its employees. A sample of seven employees yields the followi
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Using statistical concepts, we have that:

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<h3>Range and standard deviation:</h3>
  • The range of a data-set is given by the difference <u>between the highest value and the lowest value in the data-set</u>.
  • The standard deviation of a data-set is given by the <u>square root of the  sum of the difference squared of each observation and the mean, divided by the number of observations</u>.

Item a:

  • The lowest value is of 0.
  • The highest value is of 6.

Hence:

The range is 6 days, and the interpretation is: B. The number of days separating the fewest and most sick days taken is equal to the range.

Item b:

The mean is:

M = \frac{0 + 1 + 4 + 0 + 0 + 6 + 3}{7} = 2

Hence, the standard deviation is:

S = \sqrt{\frac{(0-2)^2+(1-2)^2+(4-2)^2+(0-2)^2+(0-2)^2+(6-2)^2+(3-2)^2}{7}} = 2.2

The standard deviation is of 2.2, which means that the average spread about the mean is of 2.2 units.

You can learn more about range and standard deviation at brainly.com/question/11729451

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