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3 years ago

9

A small pouch contains 8 black marbles, 5 white marbles, and 12 red marbles. What is the probability of picking a red then a bla

ck marble if you do not replace the first marble?

1 answer:

Alina [70]3 years ago

4 0

Answer:

8/600

Step-by-step explanation:

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The ratio of 3 to 4 is written as 4/3. TrueFalse

irga5000 [103]

False. It’s should be 3/4

8 0

3 years ago

Read 2 more answers

The ratio of men to women working for a company is 2 to 3 . If there are 120 employees total, how many women work for the compan

gtnhenbr [62]

I think the answer is 20

3 0

3 years ago

Help me out pleaseee

spayn [35]

Answer:

Option B is the correct choice.

Step-by-step explanation:

The graph is attached below.

We have to find the $x$ intercept meaning the value of the point on $x-axis$ when $y=0$

So we will put the value of zero $(0)$ instead of $y$ in our given equation.

So here we have solved it algebraically.

$y=\frac{3}{4}x-3$

Putting $y=0$

$0=\frac{3}{4}x-3$

$0=\frac{3x-12}{4}$

Multiplying $4$ both sides.

$0=3x-12$

Adding $12$ both sides.

$12=3x$

Dividing with $3$ both sides.

$x=\frac{12}{3}=4$

So the x-intercept of the given equation is $4$ which can be written as $(4,0)$ in terms of coordinates.

Option B $(4,0)$ is the correct choice.

8 0

3 years ago

Examine the linear table to find the slope, y-intercept, and write the equation for this linear relationship . NEED HELP PLEASE

gizmo_the_mogwai [7]

Answer:

$y = \frac{4}{3} x + 17$

Step-by-step explanation:

The table shows a set of x and y values, thus showing a set of points we can use to find the equation.

1) First, find the slope by using two points and substituting their x and y values into the slope formula, $\frac{y_2-y_1}{x_2-x_1}$ . I chose (-3, 13) and (0,17), but any two points from the table will work. Use them for the formula like so:

$\frac{(17)-(13)}{(0)-(-3)} \\= \frac{17-13}{0+3} \\= \frac{4}{3}$

Thus, the slope is $\frac{4}{3}$ .

2) Next, identify the y-intercept. The y-intercept is where the line hits the y-axis. All points on the y-axis have a x value of 0. Thus, (0,17) must be the y-intercept of the line.

3) Finally, write an equation in slope-intercept form, or $y = mx + b$ format. Substitute the $m$ and $b$ for real values.

The $m$ represents the slope of the equation, so substitute it for $\frac{4}{3}$ . The $b$ represents the y-value of the y-intercept, so substitute it for 17. This will give the following answer and equation:

$y = \frac{4}{3} x + 17$

7 0

2 years ago

A basketball player stands near the middle of the court and throws the ball toward the basket.

kompoz [17]

Answer:

A function to represent the height of the ball in terms of its distance from the player's hands is $y=\frac{-1}{54}(x-18)^2+12$

Step-by-step explanation:

General equation of parabola in vertex form $y= a(x-h)^2+k$

y represents the height

x represents horizontal distance

(h,k) is the coordinates of vertex of parabola

We are given that The ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.

So,(h,k)=(18,12)

Substitute the value in equation

$y=a(x-18)^2+12$ ---1

The ball leaves the player's hands at a height of 6 feet above the ground and the distance at this time is 0

So, y = 6

So, $6=a(0-18)^2+12$

6=324a+12

-6=324a

$\frac{-6}{324}=a$

$\frac{-1}{54}=a$

Substitute the value in 1

So, $y=\frac{-1}{54}(x-18)^2+12$

Hence a function to represent the height of the ball in terms of its distance from the player's hands is $y=\frac{-1}{54}(x-18)^2+12$

8 0

3 years ago