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2 years ago

Which equation has exactly ONE solution?

Mathematics

1 answer:

Alja [10]2 years ago

3 0

Answer:

its A

Step-by-step explanation:

Let's solve your equation step-by-step.

3+4x=2x+12

Step 1: Simplify both sides of the equation.

4x+3=2x+12

Step 2: Subtract 2x from both sides.

4x+3−2x=2x+12−2x

2x+3=12

Step 3: Subtract 3 from both sides.

2x+3−3=12−3

2x=9

Step 4: Divide both sides by 2.

Answer:

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Consider three boxes with numbered balls in them. Box A con- tains six balls numbered 1, . . . , 6. Box B contains twelve balls

murzikaleks [220]

Answer:

a) 0.73684

b) 2/3

Step-by-step explanation:

part a)

$P ( A is 1 / exactly two balls are 1) = \frac{P ( A is 1 and that exactly two balls are 1)}{P (Exactly two balls are one)}$

Using conditional probability as above:

(A,B,C)

Cases for numerator when:

P( A is 1 and exactly two balls are 1) = P( 1, not 1, 1) + P(1, 1, not 1)

= $(\frac{1}{6}* \frac{11}{12}*\frac{1}{4}) + (\frac{1}{6}*\frac{1}{12}*\frac{3}{4}) = 0.048611111$

Cases for denominator when:

P( Exactly two balls are 1) = P( 1, not 1, 1) + P(1, 1, not 1) + P(not 1, 1 , 1)

$= (\frac{1}{6}* \frac{11}{12}*\frac{1}{4}) + (\frac{1}{6}*\frac{1}{12}*\frac{3}{4}) + (\frac{5}{6}*\frac{1}{12}*\frac{1}{4})= 0.0659722222$

Hence,

$P ( A is 1 / exactly two balls are 1) = \frac{P ( A is 1 and that exactly two balls are 1)}{P (Exactly two balls are one)} = \frac{0.048611111}{0.06597222} \\\\= 0.73684$

Part b

$P ( B = 12 / A+B+C = 21) = \frac{P ( B = 12 and A+B+C = 21)}{P (A+B+C = 21)}$

Cases for denominator when:

P ( A + B + C = 21) = P(5,12,4) + P(6,11,4) + P(6,12,3)

$= 3*P(5,12,4 ) =3* \frac{1}{6}*\frac{1}{12}*\frac{1}{4}\\\\= \frac{1}{96}$

Cases for numerator when:

P (B = 12 & A + B + C = 21) = P(5,12,4) + P(6,12,3)

$= 2*P(5,12,4 ) =2* \frac{1}{6}*\frac{1}{12}*\frac{1}{4}\\\\= \frac{1}{144}$

Hence,

$P ( B = 12 / A+B+C = 21) = \frac{\frac{1}{144} }{\frac{1}{96} }\\\\= \frac{2}{3}$

4 0

2 years ago

I need 29 and 30 so please tell me the answer if you know

Nonamiya [84]

Have you tried using the website slader? It has answers for all your questions just search up slader on google then search your book on the website.

7 0

3 years ago

Solve this equation.

dsp73

Answer:

X=1

Step-by-step explanation:

5 0

2 years ago

A rectangular prism has a length of 114 yards, a width of 212 yards, and a height of 4 yards.

Natalija [7]

Answer:

96, 672 yards

Step-by-step explanation:

Volume = Length · width · height

Volume = 114 · 212 · 4

Volume = 96, 672 yards

6 0

2 years ago

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11) 19, 13, 7, 1...

MariettaO [177]

Answer:happy

Step-by-step explanation:

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2 years ago