Answer:
34
Step-by-step explanation:
Given that
2x - 7 = 9 ← solve for x
Add 7 to both sides
2x = 16 ( divide both sides by 2 )
x = 8
Substitute x = 8 into 5x - 6
5x - 6 = (5 × 8) - 6 = 40 - 6 = 34
Each flower arrangement will have 5 lillies and 13 roses
Answer and explanation:
Given : A driving exam consists of 29 multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probability that a student makes fewer than 6 mistakes on the exam is 0.26 and that the probability that a student makes from 6 to 20 (inclusive) mistakes is 0.53.
Let X be the number of mistake


To find : The probability of each of the following outcomes.
a) A student makes more than 20 mistakes
i.e. 





b. A student makes 6 or more mistakes
i.e. 


c. A student makes at most 20 mistakes
i.e. 
Using 'a' part 


d. Which two of these three events are complementary?
The complement of an event happening is the exact opposite: the probability of it not happening.
According to definition,
Option a and c are complementary events.
We know that the law of sines states that:

For simplicity, let:

In triangle A1BC this leads to:

Therefore:

Now, triangle A2BC is isosceles which means that both the base angles are equal, since angle CA1B and A2A1B are supplementary we have:
Answer: $6
Step-by-step explanation: