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3 years ago

How do I go about solving the problem?

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

8 0

Answer:

See below.

Step-by-step explanation:

You have already drawn the line x = -1 . This is the vertical line passing through the point F.

So if we reflect across this line, F will stay where it is at (-1,-1) (because F is on the 'mirror'). E is 3 units in front of the line so is reflected 3 units the other side.

The image of E, E' will be at (2, -3). The image of G, G' will be at (-2,-3).

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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

5 0

2 years ago

What 3 numbers give the same result when multiplied and added together? How do you know?

ella [17]

Answer:

1,2 and 3 because this three are positive numbers and when added and multipled both gives the same answer 6. 1,2 and 3 are the positive integers and the result of their addition and their multiplication is same .

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Which pair of angles are vertical angles?

Leokris [45]

Answer:

C and D

Step-by-step explanation:

They are both right

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2 years ago

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What is the equation of the line that passes through the point (-6,7) and has a slope of -5? Write the equation in slope interce

V125BC [204]

Answer:

y = -5x - 23

Step-by-step explanation:

Write it in point - slope form:

y - 7 = -5(x + 6)

rearrange:

y - 7 = -5x - 30

y = -5x - 23

8 0

3 years ago

I need this urgently anyone knows this?

Tom [10]

Answer:

A/( 1+rt) = P

Step-by-step explanation:

A = P ( 1+rt)

Divide each side by ( 1+rt)

A/( 1+rt) = P ( 1+rt)/(1+rt)

A/( 1+rt) = P

6 0

2 years ago