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3 years ago

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A basket contains 11 pieces of fruit: 4 apples, 4 oranges, and 3 bananas. Jonas takes a piece of fruit at random from the basket

, and then Beth takes a piece at random. What is the probability that Jonas will get an orange and Beth will get an apple?

1 answer:

dybincka [34]3 years ago

8 0

$|\Omega|=11\cdot10=110\\
|A|=4\cdot4=16\\\\
P(A)=\dfrac{16}{110}=\dfrac{8}{55}$

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Please help on this one question

Nonamiya [84]

Answer:

9ab+3a

Step-by-step explanation:

2a*3b=6ab

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a*3b=3ab

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2 years ago

Read 2 more answers

1. 25.01 +36.5+ 200.35 =<br>(a) 81.545<br>(b) 228.91<br>(c) 229.01<br>(d) 261.41<br>(e) 261.86

vesna_86 [32]

Answer:

The answer is e) 261.86

Step-by-step explanation:

25.01 +36.5+ 200.35

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2 years ago

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Try this hard Math Problem if you dare!!

Dennis_Churaev [7]

Answer:

a. $(x - 3)^2 + 16$

b. $8(x -7)^2$

c. $(a^2 - 1)(7x - 6)$ or $(a+1)(a-1)(7x-6)$

d. $(x^2-4)(x^2+3)$ or $(x-2)(x+2)(x^2+3)$

e. $(a^n+b^n)(a^n-b^n)(a^{2n} +b^{2n})$

Step-by-step explanation:

$a.\ (x + 1)^2 - 8(x - 1) + 16$

Expand

$(x + 1)(x + 1) - 8(x - 1) + 16$

Open brackets

$x^2 + x + x + 1 - 8x + 8 + 16$

$x^2 + 2x + 1 - 8x + 24$

Collect Like Terms

$x^2 + 2x - 8x+ 1 + 24$

$x^2 - 6x+ 25$

Express 25 as 9 + 16

$x^2 - 6x+ 9 + 16$

Factorize:

$x^2 - 3x - 3x + 9 + 16$

$x(x -3)-3(x - 3) + 16$

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$(x - 3)^2 + 16$

$b.\ 8(x - 3)^2 - 64(x-3) + 128$

Expand

$8(x - 3)(x - 3) - 64(x-3) + 128$

$8(x^2 - 6x+ 9) - 64(x-3) + 128$

Open Brackets

$8x^2 - 48x+ 72 - 64x+192 + 128$

Collect Like Terms

$8x^2 - 48x - 64x+192 + 128+ 72$

$8x^2 -112x+392$

Factorize

$8(x^2 -14x+49)$

Expand the expression in bracket

$8(x^2 -7x-7x+49)$

Factorize:

$8(x(x -7)-7(x-7))$

$8((x -7)(x-7))$

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$c.\ 7a^2x - 6a^2 - 7x + 6$

Factorize

$a^2(7x - 6) -1( 7x - 6)$

$(a^2 - 1)(7x - 6)$

The answer can be in this form of further expanded as follows:

$(a^2 - 1^2)(7x - 6)$

Apply difference of two squares

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$d.\ x^4 - x^2 - 12$

Express $x^4$ as $x^2$

$(x^2)^2 - x^2 - 12$

Expand

$(x^2)^2 +3x^2- 4x^2 - 12$

$x^2(x^2+3) -4(x^2+3)$

$(x^2-4)(x^2+3)$

The answer can be in this form of further expanded as follows:

$(x^2-2^2)(x^2+3)$

Apply difference of two squares

$(x-2)(x+2)(x^2+3)$

$e.\ a^{4n} -b^{4n}$

Represent as squares

$(a^{2n})^2 -(b^{2n})^2$

Apply difference of two squares

$(a^{2n} -b^{2n})(a^{2n} +b^{2n})$

Represent as squares

$((a^{n})^2 -(b^{n})^2)(a^{2n} +b^{2n})$

Apply difference of two squares

$(a^n+b^n)(a^n-b^n)(a^{2n} +b^{2n})$

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3 years ago

What is the distance between the points R(5, 7) and S(-2, 3)?

kondaur [170]

Answer:

Step-by-step explanation:

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2 years ago

Manny owes 83 sets of basketball cards eeach set has exactly 504 cards what is the total number of cards manny owns

Evgesh-ka [11]

Answer: 41,832

Step-by-step explanation:

Given : Total sets of basketball cards = 83

Basketball Cards in each set = 504

Now , the number of basketball cards = (Total sets of basketball cards ) x ( Basketball Cards in each set )

= 83 x 504

= 41,832

Hence, the total number of cards Manny owns = 41,832

3 0

3 years ago