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salantis [7]
2 years ago
12

Find the mean absolute deviation (MAD) of the data set of 0.4, 0.2, 0.4, 0.6

Mathematics
1 answer:
kupik [55]2 years ago
7 0

Answer:

Assuming data is from population, 0.1

Step-by-step explanation:

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The length of a rectangle is 13 ft. And its width is 49 ft. What is its perimeter? 512 ft 427 ft 79 ft 159 ft
crimeas [40]

Answer:

  = 124 ft

Step-by-step explanation:

Perimeter of a rectangle is

P = 2(l+w)

We know the length is 13 and the width is 49

P = 2(13+49)

   =2(62)

   = 124 ft

7 0
3 years ago
Read 2 more answers
Find the area of an isosceles trapezoid, if the lengths of its bases are 16 cm, and 30 cm, and the diagonals are perpendicular t
Klio2033 [76]
For this case we have:
 a = 30 cm
 c = 16 cm
 We look for the length of the diagonal:
 d = x + y
 Where,
 For x:
 a ^ 2 = x ^ 2 + x ^ 2
 x = a / root (2) = 30 / root (2) = 21.2132 cm
 For y:
 c ^ 2 = y ^ 2 + y ^ 2
 y = c / root (2) = 16 / root (2) = 11.3137 cm
 The diagonal is:
 d = x + y
 d = 21.2132 + 11.3137
 d = 32.5269 cm
 Then, the height is:
 h = h1 + h2
 For h1:
 h1 = root (x ^ 2 - (a / 2) ^ 2) = root ((21.2132) ^ 2 - (30/2) ^ 2)
 h1 = 15 cm
 For h2:
 h2 = root (y ^ 2 - (c / 2) ^ 2) = root ((11.3137) ^ 2 - (16/2) ^ 2)
 h2 = 8 cm
 Finally:
 h = h1 + h2
 h = 15 + 8
 h = 23 cm
 Then, the area is:
 A = (1/2) * (a + c) * (h)
 A = (1/2) * (30 + 16) * (23)
 A = 529 cm ^ 2
 Answer:
 
the area of an isosceles trapezoid is:
 
A = 529 cm ^ 2
4 0
2 years ago
Solve the system using elimination. –10x – 3y = –18 –7x – 8y = 11
Naily [24]

ANSWER

x=3, y=-4

EXPLANATION

The given system is :

First equation:

- 10x -  3y =  - 18

Second equation:

- 7x - 8y = 11

Let us multiply the first equation by 7 to get,

Third equation;

- 70x - 21y =  - 126

Let us multiply the second equation too by 10 to get,

Fourth equation:

- 70x - 80y = 110

Subtract the fourth equation from the third equation:

- 21y + 80y =  - 126 - 110

59y =  -236

Divide both sides by 59.

y =  - 4

Put y=-4 into the second equation and solve for x.

- 7x - 8( - 4) = 11

- 7x + 32 = 11

- 7x = 11 - 32

- 7x =  - 21

x = 3

The solution is x=3, y=-4

7 0
3 years ago
Read 2 more answers
Which decimal makes the number sentence true?
rjkz [21]

Answer:

b.0.26 is the correct answer

Step-by-step explanation:

a is incorrect because that would be .40 and .40 is more than .27 so that would make the equation false

c is in correct because .3 is.30 and .30 is more than. 27 and this would make the equation false

and d is incorrect because .28 is more than. 27 would make the equation false

5 0
3 years ago
Last year, the hiking club had 25 members. This year, there’s 37. What is the percent increase?
borishaifa [10]

Answer:

The hiking club's member count increased by 48%.

Step-by-step explanation:

We are given two data values: 25 members and 37 members. We need to determine how many members the club gained first. We can set up an equation where we solve for an unknown, or<em> x</em>, in this case.

25 + x = 37\\\\x = 12

The club increased by 12 members, so now we can divide this value by the initial amount of members and multiply the decimal we receive by 100 to express it in percentage form.

\frac{12}{25} =0.48\\\\0.48 \times 100 = 48\%

Therefore, the club's member count increased by 48%.

5 0
2 years ago
Read 2 more answers
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