Ask question

Ask question

All categories

3 years ago

10

A marble is drawn at random first from a jar containing four black and four white marbles, and then from a jar containing six bl

ack and two white marbles. What is the probability of drawing two black marbles?

2 answers:

castortr0y [4]3 years ago

3 0

$|\Omega|=8\cdot8=64\\ |A|=4\cdot6=24\\\\ P(A)=\dfrac{24}{64}=\dfrac{3}{8}=37.5\%$

krok68 [10]3 years ago

3 0

Answer:

the answer is 37.5% Hope this helps!

You might be interested in

Help!! BRAINLIEST TOO!

natulia [17]

Answer:

36.5 inches

Step-by-step explanation:

Given

See attachment for the given data

Required

Which length is closest to 4.2lb

The given data is a linear dataset.

So, we start by calculating the slope (m)

$m =\frac{y_2 - y_1}{x_2 - x_1}$

Pick any two corresponding points from the table

So, we have:

$(x_1,y_1) = (8,1.21)$

$(x_2,y_2) = (12,1.63)$

So:

$m =\frac{y_2 - y_1}{x_2 - x_1}$

$m =\frac{1.63 - 1.21}{12 - 8}$

$m =\frac{0.42}{4}$

$m =0.105$

The linear equation is then calculated using:

$y = m(x - x_1) + y_1$

This gives:

$y = 0.105 * (x - 8) + 1.21$

Open bracket

$y = 0.105x - 0.84 + 1.21$

$y = 0.105x + 0.37$

To get the length closest to 4.2lb,

we set $y = 4.2$

Then solve for x

So, we have:

$y = 0.105x + 0.37$

$4.2 = 0.105x + 0.37$

Collect like terms

$0.105x= 4.2 - 0.37$

$0.105x= 3.83$

Solve for x

$x= 3.83/0.105$

$x\approx 36.5$

4 0

3 years ago

Solve the following system of equations.<br> 4x-2y-z=-5<br> x-3y+2z=3<br> 3x+y-2z=-5

Stels [109]

4x - 2y - z = - 5 ______×2x - 3y + 2z = 3 _______×13x + y - 2z = - 5 ______×1
8x - 4y - 2z = - 10x - 3y + 2z = 33x + y - 2z = - 5
8x - 4y - 2z = - 10(+) x - 3y + 2z = 3_____________9x - 7y = - 77y = 9x + 7y = 9/7x + 1
x - 3y + 2z = 3(+) 3x + y - 2z = - 5_____________4x - 2y = - 24x - 2(9/7x + 1) = - 24x - 18/7x - 2 = - 210/7x = 0x = 0
y = 9/7(0) + 1y = 1
0 - 3(1) + 2z = 32z = 6z = 3

3 0

4 years ago

Billy has a savings account that has $1225

katrin2010 [14]

Answer:

1100 and 300

Step-by-step explanation:

4 0

3 years ago

Which is the function represented by the table?

Paha777 [63]

The function represented by the table is linear function
and pass with (0,0)
so it is in the form
             f(x) = m x
where m is the slope

m = [ f(x₂) - f (x₁) ] / [ x₂ -x₁]
    (4-0)/(1-0) =4
so
   f(x) = 4 x

4 0

3 years ago

The points (2, 5) and (6,-3) fall on a particular line. What is its equation in slope-intercept form?

Pachacha [2.7K]

Answer:

y = -2x + 9

Step-by-step explanation:

slope intercept form : y = mx + b

where m = slope and b = y intercept

first let's find the slope

slope formula :

$m = ( \frac{y2 - y1}{x2 - x1} )$

where the x and y values are derived from the given points

here we are given (2,5) and (6,-3)

(x1,y1) = (2,5) so x1 = 2 and y1 = 5

(x2,y2) = (6,-3) so x2 = 6 and y2 = -3

we now plug these values into the formula

recall formula

$m= ( \frac{y2 - y1}{x2 - x1} )$

plug in x1 = 2, y1 = 5, x2 = 6 and y2 = -3

m = (-3 - 5) / ( 6 - 2 )

m = (-8)/(4)

m = -2

the slope is -2

now to find the y intercept we plug in the slope and the x and y value of a given point into slope intercept form and solve for b

y = mx + b

given point : (2,5) x = 2 , y = 5, m = -2

5 = -2(2) + b

5 = -4 + b

9 = b

so the equation would be y = -2x + 9

6 0

3 years ago