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kondor19780726 [428]
3 years ago
5

Find the range of the data set with the outlier {16, 15, 19, 14, 18, 20, 45, 22, 16, 25}.

Mathematics
1 answer:
Lena [83]3 years ago
8 0
The range is 31.

To find the range, you subtract the smallest number, in this case 14, from the largest number, in this case 45.
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1. The prism-shaped roof has equilateral triangular bases. Create an equation that models the height of one of the roof's triang
lana66690 [7]

Answer:

h=\frac{\sqrt{3}}{2}b\ units    

Step-by-step explanation:

we know that

An equilateral triangle has three equal sides and three equal interior angles (the measure of each interior angle is equal to 60 degrees)

see the attached figure to better understand tyhe problem

Let

h ----> the height of an equilateral triangle

b ---> the length side of an equilateral triangle

In the right triangle ABD

Applying the Pythagorean Theorem

AB^2=AD^2+BD^2

substitute the given values

b^2=(\frac{b}{2})^2+h^2  

b^2=\frac{b^2}{4}+h^2

h^2=b^2-\frac{b^2}{4}

h^2=\frac{3}{4}b^2

square root both sides

h=\frac{\sqrt{3}}{2}b\ units      

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3 years ago
Plot the points (0,6),(3,15.8) and (9.5,0) using the graphing tool, and find the function
Ostrovityanka [42]

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f(x)=11.1035−0.920848x

Step-by-step explanation:

4 0
1 year ago
Convert 4 hours to minutes. There are 60 minutes in 1 hour.
FromTheMoon [43]

Answer:

240 minutes

Step-by-step explanation:

60 minutes = 1 hour

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8 0
3 years ago
How to solve for shaded area
tamaranim1 [39]

Answer:

(a)  12.96 ft²

(b)  21.5 in²

Step-by-step explanation:

(a) For the first diagram

Area of the shaded region (A) = Area of Tripezium- area of circle

A = [1/2(a+b)h]-[πr²]............... Equation 1

Where a and b are the parallel side of the tripezium respectively, h = height of the tripezium, r = radius of the circle.

From the diagram,

Given: a = 15 ft, b = 6 ft, h = 12 ft, r = h/2 = 12/2 = 6 ft.

Constant: π = 3.14

Substitute these values into equation 1

A = [12(15+6)/2]-(3.14×6²)

A = 126-113.04

A = 12.96 ft²

(b) For the second diagram,

Area of the shaded region (A') = Area of square- area of circle

A' = (L²)-(πr²)............. Equation 2

Where L = lenght of one side of the square, r = radius of the circle

From the diagram,

Given: L = 2r = (2×5) = 10 in, r = 5 in

Substitute these values into equation 2

A' = (10²)-(3.14×5²)

A' = 100-78.5

A = 21.5 in²

5 0
2 years ago
6x5x7xfreepoints5x7x8x6x45x6x8x7x55x6x6x6x6x0=
Liula [17]

Answer: 0

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Step-by-step explanation:

6 0
2 years ago
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