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s344n2d4d5 [400]
3 years ago
15

A box contains five slips of paper, each with one of the letters A, B, C, D, or E written on it. Another box has four slips of p

aper, each with one of the numbers 1, 2, 3, or 4 written on it. Without looking, Nancy draws a slip of paper from each box. What is the probability that Nancy draws the letter B from one box and the number 2 from the other box?
Mathematics
2 answers:
taurus [48]3 years ago
6 0

Answer:

The probability that Nancy draws the letter B from one box and the number 2 from the other box is:

\dfrac{1}{20}

Step-by-step explanation:

We know that the probability of drawing a slip of paper from one box is independent of drawing a piece of slip from the other.

Let first box contain five slips of paper, each with one of the letters A, B, C, D, or E written on it.

This means that the probability of drawing B is:

ratio of the number of slips containing B to the total number of slips.

i.e.

P(Drawing\ B)=\dfrac{1}{5}

Second box has four slips of paper, each with one of the numbers 1, 2, 3, or 4 written on it.

This means that the probability of drawing number 2 is:

ratio of the number of slips containing number 2 to the total number of slips.

i.e.

P(Drawing\ 2)=\dfrac{1}{4}

Hence,

P(drawing\ B\ and\ number\ 2)=P(drawing\ B)\times P(drawing\ 2)\\\\i.e.\\P(drawing\ B\ and\ number\ 2)=\dfrac{1}{5}\times \dfrac{1}{4}\\\\P(drawing\ B\ and\ number\ 2)=\dfrac{1}{20}

Hence, the probability is:

\dfrac{1}{20}

Alla [95]3 years ago
4 0
20% chance for the letter box and 25% chance for Number box.

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tankabanditka [31]

Answer:

x ≈ 25.5°

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
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  • Left to Right

Equality Properties

  • Multiplication Property of Equality
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<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

<u>Step 1: Identify Variables</u>

Angle θ = <em>x</em>°

Opposite Leg = 10

Hypotenuse = 21

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute [tangent]:                    tanx° = 10/21
  2. Inverse trig:                                  x° = tan⁻¹(10/21)
  3. Evaluate:                                      x = 25.4633°
  4. Round:                                          x ≈ 25.5°
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