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3 years ago

How to simplifying linear expression

Mathematics

1 answer:

snow_lady [41]3 years ago

5 0

To Simplify It Put It In Y=MX+B Form .

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The plan of a park is at a scale of 1:5000. Calculate the actual distance between two points if the distance between two points

andreyandreev [35.5K]

Multiple each of those by 5000, getting 35000, 14000, and 10000

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3 years ago

Please help thank you !

KIM [24]

Answer:

10.8239 approximately 10.82 (in 2 decimal places)

Step-by-step explanation:

the steps are shown in the picture attached :))

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2 years ago

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Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American a

spin [16.1K]

Answer:

$Mean = 68.9$

$s^2 =18.1$ --- Variance

Step-by-step explanation:

Given

$\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

Solving (a): Calculate the mean.

The given data is a grouped data. So, first we calculate the class midpoint (x)

For 51 - 58.

$x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5$

For 59 - 66

$x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5$

For 67 - 74

$x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5$

For 75 - 82

$x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5$

For 83 - 90

$x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5$

So, the table becomes:

$\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

The mean is then calculated as:

$Mean = \frac{\sum fx}{\sum f}$

$Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}$

$Mean = \frac{2547.5}{37}$

$Mean = 68.9$ -- approximated

Solving (b): The sample variance:

This is calculated as:

$s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}$

So, we have:

$s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}$

$s^2 =\frac{652.8}{36}$

$s^2 =18.1$ -- approximated

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3 years ago

Can someone help me on this

nydimaria [60]

Answer:

10√3 feet

Step-by-step explanation:

In a 30-60-90 triangle;

-Long leg = long leg

-Short leg = 1/2 * long leg

-2nd longest leg = short leg * √3

-Long leg = 20

-Short leg = 1/2 * long leg = 10

-2nd longest leg = short leg * √3 = 10√3

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3 years ago

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50 points!! ( don't answer if you don't know! WIll report) I REALLY NEED HELP!

larisa86 [58]

Answer: Do you need it all of it?

Step-by-step explanation:

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3 years ago

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