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dem82 [27]
3 years ago
15

decide if the following change is an increase or decrease. then determine the percent of change. 48 inches to 30 inch

Mathematics
1 answer:
nlexa [21]3 years ago
4 0
It is a decrease by 37.5%
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andreyandreev [35.5K]

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The answer is "was the first time the Constitution defined what a citizen is"

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2 years ago
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Which answer is the approximate standard deviation of the data set?
Anna35 [415]

Answer:

3.4

Step-by-step explanation:

Standard deviation of a population is defined as:

σ² = ∑(xᵢ − μ)² / n

The standard deviation of a sample is defined as:

s² = ∑(xᵢ − x)² / (n - 1)

It's not clear which one we have, so let's calculate both.

First, we must find the mean.

μ = (5+12+15+10+12+6+8+8) / 8

μ = 9.5

Now we find the squares of the differences:

(5-9.5)² + (12-9.5)² + (15-9.5)² + (10-9.5)² + (12-9.5)² + (6-9.5)² + (8-9.5)² + (8-9.5)²

= 80

Divide by n:

σ² = 80 / 8

σ² = 10

And take the square root:

σ = √10

σ ≈ 3.2

That's not one of the answers, so let's try the standard deviation of a sample instead of a population.

Instead of dividing by n, we'll divide by n-1:

s² = 80 / 7

And take the square root:

s = √(80/7)

s ≈ 3.4

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3 years ago
-3z+8=2z-12 what is the answer?
Gre4nikov [31]

Answer:

Step-by-step explanation:

Simplifying

-3a + 8 = 2z + -12

Reorder the terms:

8 + -3a = 2z + -12

Reorder the terms:

8 + -3a = -12 + 2z

Solving

8 + -3a = -12 + 2z

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + -3a = -12 + -8 + 2z

Combine like terms: 8 + -8 = 0

0 + -3a = -12 + -8 + 2z

-3a = -12 + -8 + 2z

Combine like terms: -12 + -8 = -20

-3a = -20 + 2z

Divide each side by '-3'.

a = 6.666666667 + -0.6666666667z

Simplifying

a = 6.666666667 + -0.6666666667z

3 0
3 years ago
Read 2 more answers
Side AB of square ABCD is parallel to the Y axis and the perimeter of ABCD is 36. If the coordinates of point B is (5,17) . What
Zarrin [17]
<h3>Answer: (C) (14,8)</h3>

============================================

Explanation:

The perimeter of the square is 36, so each side length is 36/4 = 9 units.

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Or we could go from B = (5,17) to C = (14,17) and then to D = (14,8). Each time we move 9 units.

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2 years ago
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Answer:

She left $10.62 the total was $58.87

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