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bogdanovich [222]
2 years ago
4

Victor is selling lemonade to raise money for his school. The amount of money he collected from his sales each day is summarized

the box plot below.

Mathematics
1 answer:
SashulF [63]2 years ago
6 0

Answer:

$7

Step-by-step explanation:

Interquartile range is the difference between the third quartile and the first quartile. IQR = Q_3 - Q_1.

The third quartile is the value at the end of the rectangular box, to the right, displayed on the box plot.

Third quartile = $29

The first quartile is the value at the beginning of the rectangular box of the box plot.

First quartile = $22

IQR = Q_3 - Q_1 = 29 - 22 = 7.

Interquartile range range of the data = $7

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three positive numbers are in Arithmetic Progression (A.P). the sum of the squares of the three numbers is 155. while the sum of
Alecsey [184]
Given:
Three numbers in an AP, all positive.
Sum is 21.
Sum of squares is 155.
Common difference is positive.

We do not know what x and y stand for.  Will just solve for the three numbers in the AP.
Let m=middle number, then since sum=21, m=21/3=7
Let d=common difference.
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(7-d)^2+7^2+(7+d)^2=155
Expand left-hand side
3*7^2-2d^2=155
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6 0
2 years ago
Sam painted 3 pictures.ellie painted twice as many pictures as Sam how many pictures did they paint altogether
zepelin [54]
Sam painted 3
ellie painted 2x3, so she painted 6
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together they painted 9 pictures
3 0
2 years ago
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Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right
KiRa [710]

Answer:

3\sqrt{5}\ units

Step-by-step explanation:

<u>Theorem 1:</u> The height of right triangle drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of the altitude is the geometric mean of these two segments. Hence,

KM^2=ML\cdot MJ\\ \\6^2=ML\cdot 3\\ \\3ML=36\\ \\ML=12\ units

<u>Theorem 2:</u> In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of each leg of the right triangle is the geometric mean of the lengths of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg.

Thus,

KJ^2=MJ\cdot ML\\ \\KJ^2=3\cdot (3+12)\\ \\KJ^2=3\cdot 15\\ \\KJ^2=45\\ \\KJ=\sqrt{45}=3\sqrt{5}\ units

5 0
2 years ago
Find the midpoint of the segment between the points (3,17) and (−14,−8)
mixas84 [53]

Answer:

\large\boxed{\left(-\dfrac{11}{2},\ \dfrac{9}{2}\right)}

Step-by-step explanation:

The formula of a midpoint between two points A(x₁, y₁) and B(x₂, y₂):

M_{AB}\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)

We have the points (3, 17) and (-14, -8).

Substitute:

M(x,\ y)\\\\x=\dfrac{3+(-14)}{2}=\dfrac{-11}{2}\\\\y=\dfrac{17+(-8)}{2}=\dfrac{9}{2}

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2 years ago
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