The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.
<h3>What is the probability?</h3>
Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels.
The complement of an event is the remaining possibilities.
Our event is Mariah choosing 3 mysteries.
The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.
Learn more about probability here;
brainly.com/question/11234923
Answer:
Identify the Sequence 1, 1/4, 1/16, 1/64 11, 1414, 116116, 164164 This is a geometric sequencesince there is a common ratiobetween each term. In this case, multiplying the previous termin the sequenceby 1414gives the next term.
Step-by-step explanation:
First we have to work out the area of the trapezoid using the formula;
1/2 (a+b) h
The height is 16ft, and a = 24ft, and b = 15ft
Put this into the formula
1/2 (24 + 15) 16
1/2 39 * 16
39 * 8 (you can halve the 16)
= 312 ft squared
Now we simply multiply the area by the cost per square foot to get our answer.
312 * 0.79 = $246.48
Answer:
3x + 2y = 31
Step-by-step explanation:
Solve the given equation for y to determine the slope of this line:
-3y = -2x = -18, so that y = (2/3)x + 6.
Therefore, a line perpendicular to the given line has the slope -3/2, which is the negative reciprocal of this 2/3.
Using the slope-intercept formula y = mx + b and inserting the knowns (slope = m = -3/2, y = 5 and x = -7), we obtain:
5 = (3/2)(-7) + b, or (after multiplying all terms by 2):
10 = -21 + 2b, or 2b = 31, or b = 31/2.
Then the equation is y = (-3/2)x + 31/2.
Let's put this into standard form. Multiply all terms by 2, obtaining:
2y = -3x + 31, or
3x + 2y = 31 This is the equation of the perpendicular line in question.