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Inga [223]
3 years ago
7

Amanda's book bag is 0.10. Some of Amanda's pens are removed and replaced with pink pens. Her book bag still contains a total of

20 pens. If the probability of choosing a pink pen is close to 1, how many pink pens would you expect to see in Amanda's bag?
Mathematics
1 answer:
Marta_Voda [28]3 years ago
6 0

Answer:

The number of pink pens can be 19 .

Step-by-step explanation:

Total Number of pens = 20

Let x be the number of pink pens

We are supposed to find If the probability of choosing a pink pen is close to 1, how many pink pens would you expect to see in Amanda's bag

Probability of choosing a pink pen = \frac{\text{Number of pink pens}}{\text{Total Number of pens}}

Probability of choosing a pink pen =\frac{x}{20}

ATQ

\frac{x}{20}≈1

x≈20

So, the number of pink pens can be 19 .

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What are the roots of the equation 16x2 + 40x + 27 = 0 in simplest a + bi form?
bezimeni [28]

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Answer:

  -5/4 +i(√2)/4 and -5/4 -i(√2)/4

Step-by-step explanation:

I find simplest form to be easier to get to if the leading coefficient is 1. Dividing by 16, we have ...

  x^2 +5/2x +27/16 = 0

Completing the square by adding and subtracting the square of half the x-coefficient, we get ...

  (x^2 +5/2x +25/16) +27/16 -25/16 = 0

  (x +5/4)^2 = 2/16

Subtracting 2/16, taking the square root, and subtracting 5/4 gives ...

  x +5/4 = ±√(-2/16)

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The roots are -5/4 +i(√2)/4 and -5/4 -i(√2)/4.

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3 years ago
Pls help in a middle of an exam
KIM [24]

Answer:

\frac{2x^2+4x-9}{(2x-3)(2x+3)(x-1)}

Step-by-step explanation:

\frac{2x}{4x^2-9} + \frac{3}{2x^2+x-3} can be simplified to:
\frac{2x}{(2x-3)(2x+3)}+\frac{3}{(2x+3)(x-1)}

Make them have common denominators so:
\frac{(2x)(x-1) +3(2x-3)}{(2x-3)(2x+3)(x-1)}

Simplify:
\frac{2x^2-2x+6x-9}{(2x-3)(2x+3)(x-1)} = \frac{2x^2+4x-9}{(2x-3)(2x+3)(x-1)}

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3 0
2 years ago
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vlabodo [156]
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4 years ago
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Step-by-step explanation:

3 0
3 years ago
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Just question 1, please.
ANTONII [103]

Step-by-step explanation:

We can start by writing an equation to describe the data set. For 2D data, one equation form we can use is y=m*x + b, where x is the input and y is the output. Since yuan are put in and dollars are put out, x represents yuan and y represents dollars in this instance.

To find the equation, we can start by plugging in two points, such as (50, 1.25) and (100, 7.5). The slope, or m, is equal to the change in y/change in x, or

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