Answer:
option B is correct. Once have a look to this solution that I have answered
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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Answer:
The perpendicular line is:
y = 1/3 x + 2/3
Step-by-step explanation:
The given equation can be reduced to its slope-intercept form as shown below:
3x + 9y = 8y - 2
subtract 8 y from both sides
3 x + y = -2
subtract 3 x from both sides
y = - 3 x -2
therefore we know that the slope of this line is -3, and then, a perpendicular line to it must have slope given by the "opposite of the reciprocal" of this slope. That is, the slope of any perpendicular line to this one must be: 1/3
We use this slope to find the equation of the line passing through the point (13. 5)
y = 1/3 x + b
passing through (13, 5) means:
5 = 1/3 (13) + b
therefore, we can find b from the above equation
b = 5 - 13/3 = 15/3 - 13/3 = 2/3
Then the equation of this perpendicular line is:
y = 1/3 x + 2/3
Answer:
m = -3m+3n/-2b
Step-by-step explanation:
Slope is expressed as;
m = y2-y1/x2-x1
Given the coordinates (a+b,4m-n) and (a-b,m+2n)
m = (m+2n)-(4m-n)/(a-b)-(a+b)
m = m+2n-4m+n/a-b-a-b
m = m-4m+2n+n/a-a-b-b
m = -3m+3n/-2b
Hence the required slope is m = -3m+3n/-2b
For example, a classroom of 30 students with 15 males and 15 females could generate a representative sample that might include six students: three males and three females
so true i think
