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3 years ago

Consider the events A and B, where P(A') = 3/5 and P(B) = 3/4 and P(A U B) = 7/8.

Mathematics

1 answer:

Gnesinka [82]3 years ago

7 0

Answer:

P(A) is P(A)

Step-by-step explanation:

I have to put 20 20 chracaters so just ignore this whole answer

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What is the equation of the line perpendicular to Y-3x+1 that passes through the point (12,-6)?

erma4kov [3.2K]

Answer:

$3y + x = -6$

Step-by-step explanation:

Given

y = 3x + 1

Required

Equation of line that passes through (12,-6) and is perpendicular to y = 3x + 1

First, the slope of the line has to be calculated;

Th slope of a line is the coefficient of x in its linear equation;

This implies that the slope of y = 3x + 1 is 3

Having calculated the slope of the first line;

The relationship between both lines are perpendicularity; this implies that $m_1 * m_2 = -1$

Where m_1 = 3 and m_2 is the slope of the secodnd line

$m_1 * m_2 = -1$ becomes

$3 * m_2 = -1$

Divide both sides by 3

$\frac{3 *m_2}{m_2} = \frac{-1}{3}$

$m_2 = \frac{-1}{3}$

The equation of the line can be calculated using the folloing formula

$m = \frac{y - y_1}{x - x_1}$

Where $(x_1, y_1) = (12,-6)$ and $m_2 = \frac{-1}{3}$

The equation becomes

$\frac{-1}{3} = \frac{y -- 6}{x - 12}$

$\frac{-1}{3} = \frac{y + 6}{x - 12}$

Cross multiply

$-(x - 12)= 3(y + 6)$

$-x + 12=3y + 18$

Collect like terms

$12 - 18 = 3y +x$

$-6 = 3y + x$

$3y + x = -6$

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3 years ago

If f(x) = 3(x + 4), find f(2). 729 243 81 18

bonufazy [111]

The answer is 18.

Just replace the x with 2

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3 years ago

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What is 2/9 of 18 the calculations too pls! (Fractions)

adell [148]

Answer:

18/9=2 2*2=4

answer is 4

Step-by-step explanation:

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3 years ago

How many 2 1/2 inch-long steel stakes can Curtis cut from a piece of steel that is 25 inches long?

aleksley [76]

10 or u could do 25 divided by 2.5 is 10

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3 years ago

Solve the equation <img src="https://tex.z-dn.net/?f=x%5E2%2B25%3D0" id="TexFormula1" title="x^2+25=0" alt="x^2+25=0" align="abs

SVEN [57.7K]

x = 5i x =-5i

Step-by-step explanation:

x^2+25=0

Rewriting

x^2 - (-25)=0

Writing as the difference of squares

a^2 - b^2= (a-b) (a+b)

where a = x and b = (sqrt(-25)) =±5i

( x-5i) ( x+5i) =0

Using the zero product property

x-5i =0 x+5i =0

x = 5i x =-5i

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3 years ago

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