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Karolina [17]
3 years ago
7

In Cecilia’s CD collection, 1/5 of her Jazz CDs represents 1/10 of all her CDs. What is the ratio of her Jazz CDs to her non-Jaz

z CDs? show work please!!
Mathematics
1 answer:
KatRina [158]3 years ago
6 0

Answer: The required ratio is 1:1.

Step-by-step explanation:

Let the total number of CDs be 100

\frac{1}{10} of CDs is given by

\frac{1}{10}\times 100\\\\=10

According to question,

\frac{1}{5} of her Jazz CDs represents \frac{1}{10} of all her CDs.

Let the number of Jazz CDs be  x

So, it becomes

\frac{1}{5}\times x=10\\\\x=10\times 5\\\\x=50

So, Number of Jazz's CDs is 50

Number of Jazz non CDs  is given by

100-50=50

Ratio of her CDs to her non- CDs is given by

50:50\\\\1:1

Hence, the required ratio is 1:1.

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monitta

Using the distance formula, d = \sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2  } \\, what is the distance between point (-2, 2) and point (4, 4) rounded to the nearest tenth?

Using the points given, plug them into the equation.

d = \sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2  } \\d = \sqrt{((4) - (-2))^2 + ((4) - (2)^2  } \\d=\sqrt{(4+2)^2 + (4-2)^2}\\d=\sqrt{(6)^2 + (2)^2}  \\d=\sqrt{36+4} \\d=\sqrt{40} \\

Plug this into a calculator and you get 6.32455532

Since you only need it up to the tenth (0.1), round up 6.32

<em>Five or more, let it soar. Four or less, let it rest.</em>

Since two is lower than four, we drop it.

Therefore, the distance between points (-2, 2) and (4, 4) is 6.3

Hope this helps ^w^

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3 years ago
Write the following numbers in words 560 451 2008​
Serggg [28]

Answer: five billion six hundred four million five hundred twelve thousand eight

Step-by-step explanation:

4 0
4 years ago
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A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with σ = 31.62
AysviL [449]

Answer:

A sample size of at least 737 specimens is required.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the width M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

M = 3, \sigma = 31.62

So:

M = z*\frac{\sigma}{\sqrt{n}}

3 = 2.575*\frac{31.62}{\sqrt{n}}

3\sqrt{n} = 81.4215

\sqrt{n} = 27.1405

n = 736.60

A sample size of at least 737 specimens is required.

6 0
3 years ago
Write the point-slope form of an equation for the line passing through the point (3, -2) with slope 4.
satela [25.4K]
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A function is graphed on a coordinate gridAs the domain values approach infinity, the range values approach infinityAs the domai
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Answer:Quadratic

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As the domain values negative infinity, the range values approach infinity.

Domain: If then X=- Infinity

Range:Y= infinity

We need to settle on correct option which follows given domain and range.

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