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3 years ago

What is the slope of the line shown in the graph below?

Mathematics

2 answers:

neonofarm [45]3 years ago

8 0

The correct answer is -2/3

Otrada [13]3 years ago

4 0

Answer:

-2/3

Step-by-step explanation:

Since slope is just rise over run, find the y intercept and see how far it is from the x axis. If it goes down and is above \the x axis, then it is negative and if it is under the x axis, then it is positive. Then count how far the x intercept is. Same concept as the y intercept. Then, you put it as a fraction (y goes on top of x) and simplify to get your slope.

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The Leukemia and Lymphoma Society sponsors a 5k race to raise money. It receives $55 per race entry and $10,000 in donations, bu

photoshop1234 [79]

The net amount they raise is the amount they receive minus what they pay in expenses.

They receive:
$10,000 fixed amount in donations
$55 per person

They pay:
$15 per person

If there are x number of entries, they receive 55x from the entries.
Also, they pay 15x for the entries.

The net amount they raise is amount they receive min us amount they pay:

55x + 10,000 - 15x

which simplifies to

40x + 10,0000

They want to raise at least $55,000.
At least $55,000 means $55,000 or more.
They want to raise an amount greater than or equal to $55,000.

Now we write the inequality:

40x + 10,000 >= 55,000

Now we solve the inequality for x, the number of entries.

40x >= 45,000

x >= 1125

They must have 1125 or more race entries to raise $55,000.

6 0

3 years ago

On a coordinate plane, 4 lines are shown. Line L M goes through (negative 5, negative 3) and (0, 3). Line N O goes through (nega

worty [1.4K]

Answer:

no pq

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

When using statistics in a speech, you should usually Group of answer choices manipulate the statistics to make your point. cite

NARA [144]

Answer:

Avoid Using too many statistics

Step-by-step explanation:

when a speaker is giving a speech, the listeners prefer main points to hearing too much of statistics. Too many statistics bore the audience and sometimes divert their attentions from the crux of the speech. If statistics are to be given, they must be clearly expressed and the source should be clearly stated.

Numbers that are of large decimal points can be rounded off so as not to confuse the audience and to make them grasp the main idea.

3 0

3 years ago

The least-squares regression model y =−3.4+5.2x and correlation coefficient r=−0.66 were calculated for a set of bivariate data

Makovka662 [10]

Answer:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For this case the value of r = -0.66

Now we can calculate the determination coeffcient:

$r^2 = (-0.66)^2 = 0.4356$

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

Step-by-step explanation:

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

$\bar x= \frac{\sum x_i}{n}$

$\bar y= \frac{\sum y_i}{n}$

And we can find the intercept using this:

$b=\bar y -m \bar x$

And the model obtained for this case is:

$y = -3.4 +5.2 x$

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For this case the value of r = -0.66

Now we can calculate the determination coeffcient:

$r^2 = (-0.66)^2 = 0.4356$

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

8 0

3 years ago

What is the greatest common factor of 100 and 20

Nady [450]

20
20 = 1 x 20
100 = 5 x 20

6 0

3 years ago

Read 2 more answers