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3 years ago

Help compound events

Mathematics

1 answer:

svetoff [14.1K]3 years ago

4 0

P(black) is different because if you don't replace the ball, the total amount gets subtracted by 1, and thus the scenario dependent. To calculate the probability P(black and black): (3/10)(2/9)= 6/90 = 1/15. So the answer is the third option.

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What is the equation of the line that is parallel to the given line and passes through the point (12, −2)? y = –Six-fifths x + 1

lapo4ka [179]

Answer:

y = Five-sixths x – 12

Step-by-step explanation:

In the picture attached, the given line is shown. Its slope is:

m = [6 - (-4)]/[12 - 0] = 5/6

The line that is parallel to the given line has the same slope.

A line with slope m that pass through (x1, y1) satisfies:

y - y1 = m(x - x1)

Replacing with m = 5/6 and point (12, -2):

y - (-2) = 5/6(x - 12)

y + 2 = 5/6x - 10

y = 5/6x - 10 - 2

y = 5/6x - 12

5 0

3 years ago

Read 2 more answers

Find the length of the diameter of a sphere with a surface area of 452.39^2 ft.

mash [69]

surface area = 4*pi*r^2

using 3.14 for pi

452.39 = 4*3.14*r^2=

452.39=12.56* r^2

r^2 = 452.39/12.56 = 36.0

sqrt(36) = 6= r

diameter = 2r = 6*2= 12

diameter = 12 feet

4 0

3 years ago

What is the length of a rectangle with width 14in. and area 91in.²?

sleet_krkn [62]

Answer:

91 divided by 14 = 6.5 is the length

Step-by-step explanation:

Whenever given an area and 1 given length always divide the area by the length to find the missing length.

7 0

3 years ago

Through (2,-2) parallel to y= -1/2x+5

Rzqust [24]

The equation of line passing through (2, -2) and parallel to $y = \frac{-1}{2}x+5$ is $y = \frac{-x}{2}-1$

Solution:

We have to find the equation of line passing through (2, -2) and parallel to $y = \frac{-1}{2}x+5$

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where "m" is the slope of line and "c" is the y-intercept

On comparing the given equation of line $y = \frac{-1}{2}x+5$ with eqn 1,

$m = \frac{-1}{2}$

We know that slope of a line and slope of line parallel to it is always equal

Therefore, slope of line parallel to given line is also $m = \frac{-1}{2}$

Substitute (x, y) = (2, -2) and $m = \frac{-1}{2}$ in eqn 1

$-2=\frac{-1}{2}(2)+c\\\\-2 = -1+c\\\\c = -2+1\\\\c = -1$

Substitute c = -1 and $m = \frac{-1}{2}$ in eqn 1

$y = \frac{-1}{2}x -1\\\\y = \frac{-x}{2}-1$

Thus equation of line parallel to given line is found

8 0

3 years ago

Solve the following system of equations graphically on the set of axes below.

Dominik [7]

Y = 13 x = 54. I think and hope that is correct

4 0

3 years ago