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forsale [732]
2 years ago
14

sadie has worked at a cell phone store for nine months. her sales are denoted by the set {5, 7, 8, 21, 15, 18, 5, 13, 14}. which

five-number summary represents the data set? {5, 6, 13, 16.5, 21} {5, 14.5, 15, 9, 14} {5, 7, 13, 16, 21} {5, 7, 13, 15, 18}
Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
5 0

{5, 7, 13, 16, 21}  five-number summary represents the data set.

<h3>What do you mean by Mean?</h3>

Aside from the mode and median, the mean is one of the measures of central tendency used in statistics. The average of the specified collection of numbers is what is referred to as the mean. It indicates a data set's values are distributed equally. The three most popular methods for determining central tendency are the mean, median, and mode. To find the mean, tally up all the values listed on a datasheet, then divide that total by the total number of values. When all the values are organised in ascending order, the median is the value that falls in the middle of the data. The number in the list that is repeated a maximum number of times is the mode, in contrast.

To learn more about Mean, visit:

brainly.com/question/13451489

#SPJ4

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In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.
konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

BC^2=BD\cdot AB.

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.

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AD=BC=\dfrac{-3+3\sqrt{5} }{2}\ cm.

2. According to the previous theorem,

AC^2=AD\cdot AB.

Then

AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

Answer: AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D

This means that you cannot find solutions of this equation. Then CD≠2 cm.

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