All categories

3 years ago

Please help :) !!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Kryger [21]3 years ago

6 0

Answer:

$\frac{5}{2}$ + $\frac{7}{2}$ i

Step-by-step explanation:

Expressing the complex numbers in coordinate form

3 + 8i → (3, 8 )

2 - i → (2, - 1 )

To find the midpoint use the midpoint formula

midpoint = [0.5(3 + 2), 0.5(8 - 1) ] = [0.5(5), 0.5(7) ] = ( $\frac{5}{2}$ , $\frac{7}{2}$ )

and ( $\frac{5}{2}$ , $\frac{7}{2}$ ) = $\frac{5}{2}$ + $\frac{7}{2}$ i

You might be interested in

Show that 7x + 1 is equivalence to 2(2x - 1) + 3(x + 1)

marissa [1.9K]

7x + 1 = 2(2x - 1) + 3(x + 1)

7x + 1 = 4x - 2 + 3x + 3

7x + 1 = 7x + 1

Please mark brainliest if right!

4 0

2 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

Can you please fill in the blank?

Margaret [11]

The median is 3
The range is 4

5 0

3 years ago

Read 2 more answers

If P(x) = 0.64, find the complement.

geniusboy [140]

I'm pretty there's a complement

suck it

6 0

4 years ago

Can someone help me.

cestrela7 [59]

Answer:

X=11

Step-by-step explanation:

To find x-intercept/zero substitute h(x)=0

0=x-11 move the variable to the left hand side and change it's sign

-x=-11 change the signs on both sides of the equation

x=11

4 0

3 years ago