use the slope formula to find the slope. y2-y1/x2-x1. 3-(-6)/-4-2 which is 9/-6 (subtracting a negative number is the same as adding a positive) which can be simplified to -3/2 which is the slope. the intercept is the point where y is at x=0, we already know at y=3 x is -4 from the second point, so the y intercept has to be -3. which can be proven by replacing the x and y with a point 3 = -3/2(-4) - 3. put -3/2 times 4 into a calculator and you get 6, 6-3 is 3 which makes the statement true.

7 0

3 years ago

An um contains 1 red marble, 7 white marbles and 2 blue marbles. A player randomly

BaLLatris [955]

Answer:

A loss of 1.8$

Step-by-step explanation:

In the bag in this problem, we have:

r = 1 (number of red marbles)

w = 7 (number of white marbles)

b = 2 (number of blue marbles)

n = r + w + b = 1 + 7 + 2 = 10 (number of total marbles)

So, the probabilities of choosing a red, a white or a blue marble are:

$p(r) = \frac{r}{n}=\frac{1}{10}=0.1$ (probability of choosing a red marble)

$p(w)=\frac{w}{n}=\frac{7}{10}=0.7$ (probability of choosing a white marble)

$p(b) = \frac{b}{n}=\frac{2}{10}=0.2$ (probability of choosing a blue marble)

The winning associated to each probability are:

+$5 if the marble is red

-$3 if the marble is white

-$1 if the marble is blue

So the expected winning can be calculated as follows:

$E(X)=p(r) \cdot (+\$5)+p(w) \cdot (-\$3) +p(b)\cdot (-\$1)=\\=(0.1)(+5)+(0.7)(-3)+(0.2)(-1)=-\$1.8$

So, he can expect a loss of 1.8$.

4 0

3 years ago

If you are paid $5.50/hour for mowing yards, and you take 1 3 3 hours to mow a yard, how much money are you owed

mamaluj [8]

The correct question is
<span>If you are paid $5.50/hour for mowing yards, and you take 3 1/3 hours to mow a yard, how much money are you owed
see the attached figure

we know that
3 1/3 hours-----> (3*3+1)/3----> 10/3 hours
Multiply </span>$5.50/hour by (10/3) hour
so
5.5*10/3----> $18.33

the answer is
$18.33

6 0

3 years ago