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Lemur [1.5K]
2 years ago
7

Tom earns $3200 a month. He pays $950 to rent an apartment. What percent of Tom’s income does he pay

Mathematics
2 answers:
Strike441 [17]2 years ago
7 0

well, if we take 3200 to be the 100%, what is 950 off of it in percentage?

\begin{array}{ccll} amount&\%\\ \cline{1-2} 3200 & 100\\ 950& x \end{array} \implies \cfrac{3200}{950}=\cfrac{100}{x}\implies \cfrac{64}{19}=\cfrac{100}{x} \\\\\\ 64x=1900\implies x=\cfrac{1900}{64}\implies x = 29.6875

neonofarm [45]2 years ago
5 0

Hey there!

Answer:

336.84%

3200 out of 950 is 336.84%

Solution:

3200 out of 950 is what %?

3200 out of 950 is P%

Equation: Y/X = P%

Solving our equation for P

P% = Y/X

P% = 3200/950

p = 3.3684

Convert decimal to percent:

P% = 3.3684 * 100 = 336.84%

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The proportion of a population with a characteristic of interest is p = 0.37. What is the standard deviation of the sampling dis
lukranit [14]

The standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 is equal to 0.0121.

<h3>What is a sample proportion?</h3>

A sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.

Mathematically, sample proportion can be calculated by using this formula:

\hat{p} = \frac{x}{n}

Where:

  • x represent the number of individuals with a specified characteristic.
  • n represent the total number of individuals in a sample.

In Mathematics, the standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 can be calculated by using this formula:

Standard deviation (SD) = √(p(1 - p)/n)

Substituting the given parameters into the formula, we have;

Standard deviation (SD) = √(0.37(1 - 0.37)/1,600)

Standard deviation (SD) = √(0.37(0.63)/1,600)

Standard deviation (SD) = √(0.2331)/1,600)

Standard deviation (SD) = √0.0001457

Standard deviation (SD) = 0.0121.

Read more on standard deviation here: brainly.com/question/14467769

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8 0
1 year ago
Which of the following points lies on the line whose equation is y = 2x - 3?
mariarad [96]
It's supposed to be (0,-3) but I guess your answer should be A
6 0
3 years ago
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Find the equation of a circle with a center at (7,2) and a point on the circle at (2,5)?
monitta

Answer:

(x-7)^2+(y-2)^2=34

Step-by-step explanation:

We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).

First, recall that the equation of a circle is given by:

(x-h)^2+(y-k)^2=r^2

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.

Since our center is at (7, 2), <em>h</em> = 7 and <em>k</em> = 2. Substitute:

(x-7)^2+(y-2)^2=r^2

Next, the since a point on the circle is (2, 5), <em>y</em> = 5 when <em>x</em> = 2. Substitute:

(2-7)^2+(5-2)^2=r^2

Solve for <em>r: </em>

<em />(-5)^2+(3)^2=r^2<em />

Simplify. Thus:

25+9=r^2

Finally, add:

r^2=34

We don't need to take the square root of both sides, as we will have the square it again anyways.

Therefore, our equation is:

(x-7)^2+(y-2)^2=34

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3 years ago
Tim Worker wants to purchase an automobile warranty costing $856. If he chooses to make 12 equal payments, then in dollars and c
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Answer:

<u>$71.33</u>

Step-by-step explanation:

An automobile warranty costing = $856

It is required to make 12 equal payments

So, we need to divide $856 over 12

So, the average payment = 856/12 = $71.33

3 0
4 years ago
What is the axis of symmetry gor Graph A​
Lady_Fox [76]

Answer:

X=-2

Step-by-step explanation:

The axis of symmetry for any parabola is the x value of the vertex. Dividing the parabola along the vertex will always yield two symmetric halves.

7 0
4 years ago
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