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Arlecino [84]
3 years ago
10

There are 3 red marbles, 4 yellow marbles, 8 pink marbles, and 3 green marbles in a bag. You randomly choose one. What is the pr

obability of selecting a red marble? Express your answer as a fraction.
Mathematics
2 answers:
aalyn [17]3 years ago
8 0

Answer:

1/6

Step-by-step explanation:

3 red + 4 yellow + 8 pink + 3 green = All marbles = 18 marbles

All red marbles = 3

\frac{red.marbles}{All.marbles}

\frac{3}{18} = \frac{1}{6}

Hope this helps ^-^

svp [43]3 years ago
6 0

Answer:

16%

Step-by-step explanation:

add all of them together (total=18) and divide 3 by the total

You will get 0.16 and you turn it into a percentage by moving the decimal two places to the right

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Can anyone help me I was self isolating when my class was taught this and I can't get in contact with my teacher
Aleonysh [2.5K]

Answer:

Step-by-step explanation:

3x +2y = 13   -----------------(i)

x + 2y = 7    ----------------(ii)

Multiply the equation (ii) by (-1) and then add.

(i)              3x + 2y = 13

(ii)*(-1)      <u>-x    - 2y = -7 </u>        {Now, add and y will be eliminated}

                 2x       = 6

                        x = 6/2

x = 3

Plug in x = 3 in equation (i)

3*3 + 2y = 13

  9 + 2y = 13

         2y= 13 - 9

         2y = 4

           y = 4/2

y = 2

5 0
3 years ago
Read 2 more answers
What is 1,099 rounded to the nearest ten
Elena-2011 [213]
1,099= 1,100

HOPE THIS HELPS!!!
5 0
3 years ago
Calculate the straight line distance between the points (-10, -7) and (-8,1).<br> G.2(B)
tia_tia [17]

Answer:

2√(17) or about 8.2462 units.

Step-by-step explanation:

We want to determine the distance between the two points (-10, -7) and (-8, 1).

We can use the distance formula. Recall that:

\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Substitute and evaluate:

\displaystyle \begin{aligned} d &= \sqrt{((-10)-(-8))^2 + ((-7) - (1))^2} \\ \\ &=\sqrt{(-2)^2+(-8)^2} \\ \\ &= \sqrt{(4) + (64)} \\ \\ &= \sqrt{68}\\ \\ &= 2\sqrt{17}\end{aligned}

Hence, the distance between (-10, -7) and (-8, 1) is 2√(17) units or about 8.2462 units.

4 0
3 years ago
A function has y-intercept of -2 and a slope of -1. which equation below describes the function?
ozzi
The correct equation should look something like this:
y= -1x - 2

Consider the equation for a line:
y = mx + b,
Where ‘m’ is the slope
Where ‘b’ is the y-intercept.

From there you can plug in your known values for ‘m’ and ‘b’, and get the equation above. If you are still not convinced, I suggest you graph the function and observe its slope and y-intercept.

Hope this helps!
8 0
3 years ago
The rate of change of the number of mountain lions N(t) in a population is directly proportional to 725 - N(t), where t is the t
wolverine [178]

Answer:

a) The implied differential equation is \frac{dN}{725 - N} = kdt

b) The general equation is N = 725 - C e^{-kt}

c) The particular equation is N = 725 - 325 e^{-0.49t}

d) The population when t = 5, N(5) = 697 = 700( to the nearest 50)

Step-by-step explanation:

The rate of change of N(t) can be written as dN/dt

According to the question, \frac{dN}{dt} \alpha (725 - N(t))

\frac{dN}{dt} = k (725 - N)\\\frac{dN}{725 - N} = kdt

Integrating both sides of the equation

\int {\frac{1 }{725 - N}} \, dN  = \int {k} \, dt\\- ln (725 - N) = kt + C\\ ln (725 - N) = -(kt + C)\\725 - N = e^{-(kt + C)} \\725 - N = e^{-kt} * e^{-C} \\725 - N = C e^{-kt}\\N = 725 - C e^{-kt}

When t = 0, N = 400

400 = 725 - C e^{-k*0}\\400 = 725 - C\\C = 725 - 400\\C = 325

When t = 3,  N = 650

650 = 725 - (325 * e^{-3k})\\325 * e^{-3k} = 75\\e^{-3k} = 75/325\\e^{-3k} = 0.23\\-3k = ln 0.23\\-3k = -1.47\\k = 1.47/3\\k = 0.49

The equation for the population becomes:

N = 725 - 325 e^{-0.49t}

At t = 5, the population becomes:

N = 725 - 325 e^{-0.49*5}\\N = 725 - 325 e^{-2.45}\\N = 696.95\\N(5) = 697

N(5) = 700 ( to the nearest 50)

6 0
3 years ago
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