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Mama L [17]
4 years ago
5

A box of chocolates contains five milk chocolates and six dark chocolates. Mike randomly picks a chocolate and eat it. Then Mike

randomly picks another chocolate and eats it. Determine the probability Mike eats two milk chocolates. Round to the hundredths place.
Mathematics
1 answer:
aleksandr82 [10.1K]4 years ago
8 0

Answer: 0.182

Step-by-step explanation:

For the first selection, the probability of picking a milk chocolate bar is equal to the number of milk chocolate bars divided the total number of bars, this is:

p1 = 5/(6 + 5) = 5/11

In the second selection we have the same equation, but now we have  4 milk chocolate bars (because one is alredy taken)

p2 = 4/(4 + 6) = 4/10

the joint probability is:

P = p1*p2 = (5/11)*(4/10) = 0.182

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If the length is 7 more than 4 times the width of a rectangle and the perimeter is 74mm, what are the dimensions?
kogti [31]
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Define x :
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Let the width be x
Width = x
Length = 4x + 7

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Formula :
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Perimeter = 2 (Length + Width)

Perimeter = 74
2(4x + 7 + x) = 74       // sub length and width into the equation
2(5x + 7) = 74             // combine like terms
10x + 14 = 74              // Apply distributive property
10x = 60                      // Take away 14 from both sides
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Find Length and Width :
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Width = x = 6mm
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Answer: The length is 31mm and its width 6mm.
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7 0
4 years ago
Use the functions f(x)=7x3−3x2−x+14 f x = 7 x 3 - 3 x 2 - x + 14 and g(x)=2x3+2x+5 g x = 2 x 3 + 2 x + 5 as examples to show tha
Aneli [31]

Answer:

<h3>The given set of polynomials f(x) and g(x) are closed under subtraction.</h3>

Step-by-step explanation:

Given that the functions f ad g are defined by

f(x)=7x^3-3x^2-x+14 and g(x)=2x^3+2x+5 respectively.

<h3>To  show that the set of polynomials is closed under subtraction :</h3>

Now subtract the given polynomials

f(x)-g(x)=(f-g)(x)

=7x^3-3x^2-x+14-(2x^3+2x+5)

=7x^3-3x^2-x+14-2x^3-2x-5

=5x^3-3x^2-3x+9

∴ f(x)-g(x)=5x^3-3x^2-3x+9

  • When subtracting the polynomials the variables and their exponents remains same only variation in their coefficients.
<h3>Hence the given polynomials f(x) and g(x) are closed under subtraction.</h3>

∴ f(x)-g(x)=5x^3-3x^2-3x+9 are closed under subtraction,

Hence showed.

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