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Gemiola [76]
3 years ago
10

Find the absolute value of each deviation from the mean

Mathematics
1 answer:
ANTONII [103]3 years ago
8 0

Answer:

Mean Absolute Deviation = 5.3333

Step-by-step explanation:

Xmean = 85

MAD = (85 - 85) + (92 - 85) + (88 - 85) + (80 - 85) + (91 - 85) + (74 - 85) /6

         =(0) + (7) + (3) + (5) + (6) + (11) /6

        = 32 /6

Mean Absolute Deviation = 5.3333

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Tell whether the given side lengths form a right triangle.<br> 6, 11, 16
Lubov Fominskaja [6]

Given:

The lengths of the sides of a triangle are 6, 11, 16.

To find:

Whether the given triangles is a right angle triangle or not.

Solution:

Pythagoras theorem:

Hypotenuse^2=Perpendicular^2+Base^2

A triangle is a right angle triangle if the sum of squares of two smaller sides is equal to the square of the largest sides.

In the given triangle the length of the largest side is 16.

Square of the largest sides is:

16^2=256

Sum of the squares of the two smaller sides is:

6^2+11^2=36+121

6^2+11^2=157

Since 6^2+11^2\neq 16^2, therefore the given triangle is not a right angle triangle.

5 0
3 years ago
Satellite
sammy [17]

The first missing quantity is force due to gravity, and it is 215.1 N.

The second missing quantity is distance between the statellite and the Earth, determined as 6,000 km.

<h3>Force between two masses</h3>

The force between two masses is determined by applying Newton's law of universal gravitation as shown below;

F = \frac{GMm}{R^2}

where;

  • M is mass of Earth = 5.97 x 10²⁴ kg
  • m is mass of the satellite
  • R is the distance between the satellite and the Earth
  • G is universal gravitation constant
<h3>First missing quantity</h3>

The first missing quantity is force due to gravity, and it is calculated as follows;

F = \frac{(6.67 \times 10^{-11} ) \times (5.97 \times 10^{24}) \times (700)}{(36,000 \times 10^3)^2} \\\\F = 215.1 \ N

<h3>Second missing quantity</h3>

The second missing quantity is distance between the statellite and the Earth,

R^2 = \frac{GMm}{F} \\\\R^2 = \frac{(6.67 \times 10^{-11})(5.97 \times 10^{24})(1000)}{11,000} \\\\R^2 = 3.62 \times 10^{13}\\\\R = 6,000 \ km

Learn more about Newton's law here: brainly.com/question/3999427

6 0
2 years ago
How many full bags of 300g each can i fill with 2.85kg of lentils ?​
Anna71 [15]

Answer:

9.5 bags

Step-by-step explanation:

Change to gram

2850 : 300 = 9.5

3 0
4 years ago
Read 2 more answers
The Sum of the digits of a two digit number is 12.The number obtained by interchanging the digits exceeds the original number by
Rashid [163]

Answer:

original number is 57

Step-by-step explanation:

I am not sure if there is a correct way to do this...but I am just guessing and checking to find the answer.

the possible 2 digit numbers that equal 12 are :

39,93,48,84,57,75,66

the number obtained by interchanging the digits exceeds the original number by 18....so the original number is 18 less then the new number.

the only two numbers whos difference is 18 is 57 and 75.....75 - 57 = 18

so the original number is 57.....and the new number obtained by interchanging the digits (75) exceeds the original number by 18...and 75 - 57 = 18.

4 0
4 years ago
If y varies inversely with x and y = 8 when x = 5, then what is y when x = 2?
Tomtit [17]
I would say it is 4 because that is really the only one to make much sense <span />
8 0
4 years ago
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