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3 years ago

I need first one and the second one please! I need it tomorrow!

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

5 0

I have a total of 11 pencils = total outcome
a- since we have 6 Red, P(Red)=6/11
b- P(Black) = 3/11
c- P(Green) = 1/11
For the dice:
Total outcome 6 so :
P(3) =1/6
P(1) =1/6
P(less than5) means P( of 1 OR 2 OR 3 Or 4)
Since we have "OR" it means we can add the P(probabilities)====>
P( of 1 OR 2 OR 3 Or 4)=1/6+1/6+1/6+1/6=
= 4/6 = 2/3

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Solve the equation:

PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

$4\sqrt{3-\frac{1}{x} } -\sqrt{\frac{x}{3x-1} } =3\\4\sqrt{\frac{3x-1}{x} } -\sqrt{\frac{x}{3x-1} } =3\\\\put ~\sqrt{\frac{3x-1}{x}} =a\\4a-\frac{1}{a} =3\\4a^2-1-3a=0\\4a^2-4a+1a-1=0\\4a(a-1)+1(a-1)=0\\(a-1)(4a+1)=0\\a=1,-\frac{1}{4}\\$

$\sqrt{\frac{3x-1}{x} } =1\\3x-1=x\\3x-x=1\\2x=1\\x=\frac{1}{2}$

when a=-1/4

$\sqrt{\frac{3x-1}{x} } =-\frac{1}{4} \\$

$\frac{3x-1}{x} =\frac{1}{16} \\48x-16=x\\47x=16\\x=\frac{16}{47}$

$\frac{(1-2x)^2 \times (x^2-9)}{-x^2-x+6} \geq 0,\\both ~numerator ~and~denominator ~are~of~same~sign.\\\frac{(1-2x)^2(x^2-9)}{-x^2-3x+2x+6} \geq 0\\\frac{(1-2x)^2(x+3)(x-3)}{-x(x+3)+2(x+3)} \geq 0\\\frac{(1-2x)^2(x+3)(x-3)}{(x+3)(-x+2)} \geq 0\\(1-2x)^2\geq 0~(always)\\x\neq -3\\case.~1.\\both~numerator~and~denominator >0\\\frac{x-3}{-x+2} \geq 0\\x-3\geq 0\\x\geq 3\\-x+2> 0\\-x>-2\\x$

case 2.

both numerator and denominator are negative.

$x-3\leq 0\\x\leq 3\\-x+2\leq 0\\-x\leq -2\\x\geq 2\\solution~is~(-\infty,-3)U(-3,3]U[2,\infty)$

5 0

3 years ago

Read 2 more answers

One pipe can fill a swimming pool in 10 hours, while a second pipe can fill the pool in 6 hours. If the second pipe is turned on

Sever21 [200]

Answer:

6 4/5 hours

Step-by-step explanation:

If one pipe can fill the pool in 10 hours, then it can fill 1/5 of the pool in 2 hours.

If two pipe's can fill the pool in 6 hour's, then it can fill 1/5 of the pool 1 1/5 hours.

So:

6-1 1/5=4 4/5

4 4/5+2=6 4/5

8 0

3 years ago

For f(x)=3x -1 and g(x) = x+2 find (f-g)

Nuetrik [128]

Answer:

(f - g) = 2x - 3

Step-by-step explanation:

Simply distribute the negative and add like terms together:

(f - g) = 3x - 1 - (x + 2)

(f - g) = 3x - 1 - x - 2

(f - g) = 2x - 3

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3 years ago

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seropon [69]

Answer:

$250

Step-by-step explanation:

6 0

3 years ago

Post-War voices emerge (1950s-1960s) Unit test . <br> Does anyone hv the answers already

pav-90 [236]

I am doing this right now, haha, Ill let you know when done!

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3 years ago