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Angela’s grandfather gave her all the cash he had in his pocket to buy raffle tickets that cost $1

daser333 [38]

In this problem situation:

the independent quantity is the money Angela's grandfather gave her
the dependent quantity is the number of raffle ticket Angela will buy.

An independent quantity is the quantity that affects or brings a change in a dependent quantity.

The dependent quantity is affected by the independent quantity. If the independent quantity changes, the dependent quantity will change.

The dependent quantity is dependent on the independent quantity.

Let's relate it to the problem situation:

The amount of money Angela's grandfather gave her is unknown, therefore, the number of raffle tickets Angela can buy cannot be ascertain.

If we know how much Angela's grandfather gave her, we can determine how many raffle tickets Angela can buy.

This implies that the number of raffle ticket Angela will buy is dependent on how much money her grandfather gave her.

Therefore, in this problem situation:

the independent quantity is the money Angela's grandfather gave her
the dependent quantity is the number of raffle ticket Angela will buy.

Learn more here:

brainly.com/question/19967540

5 0

1 year ago

ASE

antiseptic1488 [7]

First you must expand them

5 0

3 years ago

Which value of b will cause the quadratic equation x^2+bx+5=0 to have two real number solution

Aloiza [94]

To have 2 real number solutions the discriminant b^2 - 4ac must be greater than zero.

so the condition for 2 real roots in this equation is:-

b^2 - 4*1*5 > 0
b^2 > 20

b > sqrt 20 ( positive root) Answer

5 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP

Leviafan [203]

Answer:

-2/5

Step-by-step explanation:

<h3>Given</h3>

tan (x)=2/5

tan (2pi - x)

<h3>Solution</h3>

tan (2pi - x) =
- tan (x) =
- 2/5

Correct choice is B

5 0

3 years ago

Read 2 more answers

A coach is assessing the correlation between the number of hours spent practicing and the average number of points scored in a g

cricket20 [7]

Answer:

a) $r=\frac{9(396)-(18)(153)}{\sqrt{[9(51) -(18)^2][9(3141) -(153)^2]}}=1$

We have a perfect linear relationship between the two variables

b) $m=\frac{90}{15}=6$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{18}{9}=2$

$\bar y= \frac{\sum y_i}{n}=\frac{153}{9}=17$

And we can find the intercept using this:

$b=\bar y -m \bar x=17-(6*2)=5$

So the line would be given by:

$y=6 x +5$

c) For this case the slope indicates that for each increase of the number of hours in 1 unit we have an expected increase in the score about 6 units.

And the intercept 5 represent the minimum score expected for any game

Step-by-step explanation:

We have the following data:

Number of hours spent practicing (x) 0 0.5 1 1.5 2 2.5 3 3.5 4

Score in the game (y) 5 8 11 14 17 20 23 26 29

Part a

The correlation coefficient is given:

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

For our case we have this:

n=9 $\sum x = 18, \sum y = 153, \sum xy = 396, \sum x^2 =51, \sum y^2 =3141$

$r=\frac{9(396)-(18)(153)}{\sqrt{[9(51) -(18)^2][9(3141) -(153)^2]}}=1$

We have a perfect linear relationship between the two variables

Part b

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

Where:

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

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

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=51-\frac{18^2}{9}=15$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=396-\frac{18*153}{9}=90$

And the slope would be:

$m=\frac{90}{15}=6$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{18}{9}=2$

$\bar y= \frac{\sum y_i}{n}=\frac{153}{9}=17$

And we can find the intercept using this:

$b=\bar y -m \bar x=17-(6*2)=5$

So the line would be given by:

$y=6 x +5$

Part c

For this case the slope indicates that for each increase of the number of hours in 1 unit we have an expected increase in the score about 6 units.

And the intercept 5 represent the minimum score expected for any game

5 0

3 years ago