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ryzh [129]
3 years ago
12

if a number is increased by five and the result is then divided by three, the result is seven . write an equation that models th

is verbal description and solve the equation for the number described
Mathematics
1 answer:
VLD [36.1K]3 years ago
7 0
The equation: 7=(x+5)÷3

Solving:
7=(x+5)÷3
×3 ×3
_________
21=x+5
-5 -5
_______
16=x
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What are the mean absolute deviation and population standard deviation of this data set? Round to the nearest tenth if necessary
tekilochka [14]

Answer:

For a data set of N elements:

{x₁, x₂, ..., xₙ}

The mean is:

M = \frac{x_1 + x_2 + ... + x_n}{N}

The mean absolute deviation is:

MAD = \frac{|x_1 - M| + ... + |x_n - M|}{N}

And the population standard deviation is:

PSD = \frac{\sqrt{|x_1 - M|^2 + ... + |x_n - M|^2} }{\sqrt{N}}

In this case, our set has 5 elements, and the set is:

{2, 4, 6, 9, 14}

The mean of this set is:

M = \frac{2 + 4 + 6 + 9 + 14}{5} = 7

The mean absolute deviation is:

MAD = \frac{|2 - 7| + |4 - 7| + |6 - 7|+ |9 - 7| + |14 - 7| }{5} = 3.6

And the population standard deviation is:

PSD =  \sqrt{\frac{|2 - 7|^2 + |4 - 7|^2 + |6 - 7|^2+ |9 - 7|^2 + |14 - 7|^2 }{5}} = 4.2

6 0
3 years ago
6,435,920,178 in expanded form
VMariaS [17]
6,435,920,178\\=6,000,000,000+400,000,000+30,000,000+5,000,000\\+900,000+20,000+100+70+8
4 0
4 years ago
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You own 6 hats and are taking 4 on vacation. In how many ways can you choose 4 hats from the 6?
Gemiola [76]
Your answer is A. 15 
5 0
3 years ago
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Write and solve an equation to find the value of X
Mumz [18]
Angles on a straight line add up to 180 degrees so

45 + 3x = 180
Subtract 45 from both sides to remove the 45 on the left

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Then divide both sides by 3
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Answer is X = 45
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4 years ago
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Find the volume of this cylinder.<br> Give your answer to 1 decimal point
galina1969 [7]

Answer:

1330.5 cm³

Step-by-step explanation:

The volume of a cylinder is: V = πr²h

Substitute the values for those variables.

V = π(5.5)²(14)

V = π(30.25)(14)

V = 1330.5

4 0
3 years ago
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