All categories

3 years ago

Miriam has a bag that contains 10 red marbles and 6 blue marbles. she chooses two marbles at random and does not replace them. w

hat is the probability that the first marble is blue and the second marble is red?
a.
b.
c.
d.

Mathematics

1 answer:

dalvyx [7]3 years ago

8 0

$|\Omega|=16\cdot15=240\\ |A|=6\cdot10=60\\\\ P(A)=\dfrac{60}{240}=\dfrac{1}{4}=25\%$

You might be interested in

Choose the solution(s) of the following system of equations x2 + y2 = 6 x2 – y = 6

ElenaW [278]

<h2>Answer</h2>

$x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1$

Or as ordered pairs: $(\sqrt{6} ,0),(-\sqrt{6} ,0),(\sqrt{5} ,-1),(-\sqrt{5} ,-1)$

<h2>Explanation</h2>

Lets solve our system of equations step by step

$x^2+y^2=6$ equation (1)

$x^2-y=6$ equation (2)

1. Solve for $x^2$ in equation (2)

$x^2-y=6$

$x^2=6+y$ equation (3)

2. Replace equation (3) in equation (1) and solve for $y$

$x^2+y^2=6$

$6+y+y^2=6$

$y^2+y=0$

$y(y+1)=0$

$y=0$ or $y=-1$

3. Replace the values of $y$ in equation (3) and solve for $x$

- For $y=0$

$x^2=6+y$

$x^2=6$

$x=\sqrt{6}$ or $x=-\sqrt{6}$

- For $y=-1$

$x^2=6+y$

$x^2=6-1$

$x^2=5$

$x=\sqrt{5}$ or $x=-\sqrt{5}$

So, the solutions of our system of equation are:

$x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1$

6 0

3 years ago

Read 2 more answers

True or False:

atroni [7]

Answer:

no it can't because

Step-by-step explanation:

coz the sum of any two angle should be greater than 3rd side

13 + 5 = 18 which is greater than 7
13 + 7 = 20 which is greater than 5
5 + 7 = 12 which is not greater than 13

so triangle cant be made

3 0

4 years ago

6(m-1) = 3(3m + 2) Show all work

nordsb [41]

Answer:

$\boxed{\sf m = -4}$

Step-by-step explanation:

$\sf Solve \: for \: m: \\ \sf \implies 6 (m - 1) = 3 (3 m + 2) \\ \\ \sf Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ \sf \implies 6 m - 6 = 3 (3 m + 2) \\ \\ \sf Expand \: out \: terms \: of \: the \: right \: hand \: side: \\ \sf \implies 6 m - 6 = 9 m + 6 \\ \\ \sf Subtract \: 9 m \: from \: both \: sides: \\ \sf \implies (6 m - 9 m) - 6 = (9 m - 9 m) + 6 \\ \\ \sf 6 m - 9 m = -3 m: \\ \sf \implies -3 m - 6 = (9 m - 9 m) + 6 \\ \\ \sf 9 m - 9 m = 0: \\ \sf \implies -3 m - 6 = 6 \\ \\ \sf Add \: 6 \: to \: both \: sides: \\ \sf \implies (6 - 6) - 3 m = 6 + 6 \\ \\ \sf 6 - 6 = 0: \\ \sf \implies -3 m = 6 + 6 \\ \\ \sf 6 + 6 = 12: \\ \sf \implies -3 m = 12 \\ \\ \sf Divide \: both \: sides \: of \: -3 m = 12 \: by \: -3: \\ \sf \implies \frac{ - 3m}{ - 3} = \frac{12}{ - 3} \\ \\ \sf \frac{ - 3}{ - 3} = 1: \\ \sf \implies m = \frac{12}{ - 3} \\ \\ \sf - \frac{12}{3} = - 4 : \\ \sf \implies m = - 4$

7 0

3 years ago

Brainliest if you show how to do the work

solong [7]

Answer:

26.376 because the circumference formula is 2*3.14*radius so the radius of the goal would be 9 because radius is half of diameter which is 18 so 2*3.14*9=56.52 and the basketball's radius would be 4.8 and then 2*3.14*4.8 is 30.144 so the answer is 26.376 hope it helps

Step-by-step explanation:

Please can I have the brainliest

3 0

2 years ago

Read 2 more answers

How many vertices does the<br> pyramid have?

Westkost [7]

Answer:

5 vertices

Step-by-step explanation:

At base = 4 vertices

On top = 1 vertex

Total = 5 vertices

6 0

2 years ago