Using the probability concept, it is found that the correct statements are given as follows:
- The number of possible outcomes is 8.
- 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(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
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28x + 44y = 964.40
21x + 33y = 723.30
Let's multiply the first equation by 4 and the second by -4
84x + 176y = 3857.6
-84x - 132y = -2893.2
Add the equations together.
0 + 44y = 964.4
Simplify
44y = 964.4
Divide both sides by 44
y = 964.4/44
Since we have the value of y, let's plug 964.4/44 into y for the first equation.
28x + 44(964.4/44) = 964.40
Simplify the left side
28x + 964.4 = 964.4
Subtract 964.4 from both sides
28x = 0
Divide both sides by 0
x = 0
In conclusion,
y = 964.4/44
x = 0
The answer is C.
It has a negative slope (-40) and a y-intercept at 200.
F(-5)=6(5*5)+4(-5)-11
f(-5)=6(25)+-20+-11
f(-5)=150+20-11
f(-5)=130-11=119