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yarga [219]
3 years ago
13

What is the probability of you selecting a vowel (A, E, I, O, U) and then, without returning it, selecting a consonant? Explain

the steps to calculating this probability.
Mathematics
1 answer:
Shtirlitz [24]3 years ago
4 0

Answer:

21/130

Step-by-step explanation:

26 letters in alphabet

- 5 vowels

- 21 consonants

P(vowel) = 5/26

With no replacement, there are now 25 letters of which 21 are consonants

P(consonant) = 21/25

Multiply the two probabilities fo get 21/130

You might be interested in
In triangle △WXY, XY ≅ WX and m∠X=38 Find m∠W
allsm [11]

Answer:

71^{\circ}

Step-by-step explanation:

Since two sides of the triangle are equal in length, we can conclude that \triangle WXY is an isosceles triangle. With this information, we can draw an isosceles triangle to find m\angle W. Since the base angles of an isosceles triangle are equal, we can solve for m\angle W:

38 + m\angle W + m\angle Y = 180 (Angle sum of triangle is 180^{\circ})

38+2(m\angle W) = 180 (Base angles of isosceles triangles are equal, there is an image attached to show that m\angle W is one of the base angles)

2(m\angle W) = 142

m\angle W=71^{\circ}

Hope this helps :)

5 0
2 years ago
The base of a triangle is decreasing at the rate of 1 ft/sec, while the height is increasing at the rate of 2 ft/sec. At what ra
Vera_Pavlovna [14]
We are given with the rate of change of the base, db/dt equal to 1 ft/ sec and the rate of change of the height of the triangle, dh/dt equal to 2 ft/sec. b is 10 ft and h is 70 ft. Area of triangle is equal to A= 0.5 bh The rate of change of the area is equal to dA/dt = 0.5 b dh/dt + 0.5 h db/dt. Substituting, dA= 0.5*10*2 + 0.5*70 * 1 equal to 45 ft2 / sec.
3 0
3 years ago
Read 2 more answers
What is the slope of the line? <br><br> As soon as possible please !!
mixer [17]

Answer:

m=\frac{-8}{5}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (-1, 4)

Point (4, -4)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute [Slope Formula]:                    m=\frac{-4-4}{4+1}
  2. Subtract/Add:                                          m=\frac{-8}{5}
5 0
2 years ago
Question 2: What is the volume of this prism?
laiz [17]

Answer:

42 cubic units

Step-by-step explanation:

2x3x7

6 0
3 years ago
18 Ib. Then her dog loses another 1 lb. Finally, it
Pavel [41]

Answer:

17 lb I guess 8 don't think the question is full

Step-by-step explanation:

the question is half

8 0
3 years ago
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