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3 years ago

Write three different equations that match the tape diagram.

Mathematics

1 answer:

Nikitich [7]3 years ago

8 0

Answer:

19+7x=40

40-19=7x

40-7x=19

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Use the work shown below to write the equation for a line that passes through the points (−5, 0) and (−1, −8).

Dennis_Churaev [7]

Answer:

M = -2

b = -10

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

m = (-8 -0)/(-1- -5)

= (-8-0)/(-1+5)

= -8/4

= -2

We now want to find the y intercept

y = mx+b is the slope intercept form of the equation

y = -2x+b

Using the point (-5,0)

0 = -2(-5) +b

0 = 10+b

Subtract 10 from each side

-10 = 10-10+b

-10 =b

The y intercept is -10

y= -2x-10

7 0

3 years ago

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I'm having trouble with this, it's geometry. please help and break it down if you can

Travka [436]

Check the picture below.

5 0

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

Help me with this plz

patriot [66]

Answer:

zero

Step-by-step explanation:

3 0

3 years ago

1. Jordan's washing machine is broken. Since her machine is pretty old, she doesn't want to spend more than $100

ahrayia [7]

Answer:

I think it would be D

Step-by-step explanation:

20 x 3 = 60 60+35= 95 20/4 = 5

4 0

3 years ago

Read 2 more answers