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Alekssandra [29.7K]
2 years ago
11

Tiles with the letters A,B,C,D,E,F,G and H written on them are placed in a bag. Malik draws out on letter at random. Which state

ments about the situation are true? Check all that apply.
The number of possible outcomes is 8.
The probability is drawing the tile with E written on it is 1/4.
P(vowel)=1/4
P(vowel) + P(consonant) % 1
Choosing one letter at random is a simple event.
Mathematics
1 answer:
dusya [7]2 years ago
4 0

Using the probability concept, it is found that the correct statements are given as follows:

  • The number of possible outcomes is 8.
  • P(vowel)=1/4
  • P(vowel) + P(consonant) = 1.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, there are eight letters, two of which are vowels and six of which are consonants.

Hence:

  • P(vowel) = 2/8 = 1/4.
  • P(consonant) = 6/8 = 3/4.
  • P(vowel) + P(consonant) = 1/4 + 3/4 = 1.

E is one out eight letters, hence the probability is drawing the tile with E written on it is 1/8.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

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Write a two-column proof. Given: 7y = 8x - 14; y = 6. Prove that : x = 7.
svet-max [94.6K]

Answer:

Given: 7y =8x-14 , y =6

To prove: x =7

On substituting the value of y =6 in the equation 7y = 8x -14 to solve for x.

7(6)= 8x - 14

or

42 = 8x -14                       ......[1]

Addition Property of equality states that you add the same number to both sides of an equation.

Add 14 to both sides in equation [1];

42+14 =8x -14+14

Simplify:

56 = 8x              

or

8x =56                                 ......[2]

Division Property of equality states that you divide the same number to both sides of an equation.

Divide by 8 to both sides of an equation [2];

\frac{8x}{8} =\frac{56}{8}

Simplify:

x =7                             Hence proved!

A two Column proof:

 Statement                                Reason

1. 7y = 8x -14                                   Given

    y= 6

2. 7(6) = 8x -14                                Substitution property

3.  42+14 = 8x                                  Addition property of equality

4.   56 =8x                                       Simplify

5.    x =7                                           Division Property of equality

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