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3 years ago

Write the equation -3x + 4y = 16 in slope-intercept form.

Mathematics

2 answers:

SIZIF [17.4K]3 years ago

7 0

Answer:

y=3/4x+4

Step-by-step explanation:

-3x+4y=16

4y=16-(-3x)

4y=16+3x

4y=3x+16

y=3/4x+16/4

y=3/4x+4

Vlad1618 [11]3 years ago

4 0

Answer:

y = $\frac{3}{4}$ x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

- 3x + 4y = 16 ( add 3x to both sides )

4y = 3x + 16 ( divide all terms by 4 )

y = $\frac{3}{4}$ x + 4 ← in slope- intercept form

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3 years ago

A fair coin is flipped twelve times. What is the probability of the coin landing tails up exactly nine times?

seraphim [82]

Answer:

$P\left(E\right)=\frac{55}{1024}$

Step-by-step explanation:

Given that a fair coin is flipped twelve times.

It means the number of possible sequences of heads and tails would be:

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We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula

$nCr=\frac{n!}{r!\left(n-r\right)!}$

Plug in n = 12 and r = 9

$=\frac{12!}{9!\left(12-9\right)!}$

$=\frac{12!}{9!\cdot \:3!}$

$=\frac{12\cdot \:11\cdot \:10}{3!}$ ∵ $\frac{12!}{9!}=12\cdot \:11\cdot \:10$

$=\frac{1320}{6}$ ∵ $3!\:=\:3\times 2\times 1=6$

$=220$

Thus, the probability will be:

$P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}$

$=\frac{220}{4096}$

$=\frac{55}{1024}$

Thus, the probability of the coin landing tails up exactly nine times will be:

$P\left(E\right)=\frac{55}{1024}$

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3 years ago

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lakkis [162]

Answer:

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Step-by-step explanation:

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Please help i cant get this one

klasskru [66]

(2x+11) = ( 5x-19)
subtract 2x from each side. So 2x - 2x =0 and 5x - 2x = 3x.
Now your equation is 11 = 3x- 19.
Next, add 19 to each side. - 19 + 19 = 0 and 11 + 19 = 30.
Your equation is now 30 = 3x.
Now divide by 3x on each side. 3x / 3x= x and 30 / 3 = 10.
<em>So your answer would be x = 10</em>.

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