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3 years ago

Write the equation of the line that is parallel to the line 4x − 3y = −12 and passes through the point (−3, 4).

Mathematics

1 answer:

Jobisdone [24]3 years ago

3 0

The answer is
<span>y = four thirdsx + 8
</span>

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A factor tree for 61 that is not nothing

ddd [48]

False because the factor tree for 61 is 1 and 61

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3 years ago

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

5 0

2 years ago

38% of the animals are dogs. 40% of the animals are spotted. 12% of the animals are spotted dogs. What percent of the animals in

nalin [4]

Answer: B

Step-by-step explanation:

7 0

2 years ago

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A map has a scale of 2.5 inches=125 miles. If the actual distance is 300 miles what is the distance on the map

e-lub [12.9K]

Answer 5.5

Explanation 125 + 125= 250
250 + 50=300

Is 2 125s and 1 50

Each 125 is 2.5

But in this case there is 2 125s

2.5+2.5=5
plus the other half = 5.5

BRAINLIST?

4 0

2 years ago

The diameter of a beach ball is 10 inches. How many cubic inches of air can the beach ball hold? Use 3.14 for Pi. Round to the n

Nata [24]

Answer:

523.3

Step-by-step explanation:

3 0

3 years ago

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