Answer:
x = 1/3 + sqrt(5/2)/3 or x = 1/3 - sqrt(5/2)/3
Step-by-step explanation:
Solve for x:
6 x^2 - 4 x = 1
Divide both sides by 6:
x^2 - (2 x)/3 = 1/6
Add 1/9 to both sides:
x^2 - (2 x)/3 + 1/9 = 5/18
Write the left hand side as a square:
(x - 1/3)^2 = 5/18
Take the square root of both sides:
x - 1/3 = sqrt(5/2)/3 or x - 1/3 = -sqrt(5/2)/3
Add 1/3 to both sides:
x = 1/3 + sqrt(5/2)/3 or x - 1/3 = -sqrt(5/2)/3
Add 1/3 to both sides:
Answer: x = 1/3 + sqrt(5/2)/3 or x = 1/3 - sqrt(5/2)/3
Yolanda had 47 customers on Saturday from 6 to 7 pm. Then on Monday she only had 20 customers from 5pm to 6pm.
Question: Let’s find how much percentage rate did Yolanda’s customer’s decreased over time.
Solution
=> Saturday = 47 customers.
=> Monday = 20 customer.
Let’s start solcing
=> 47 – 20 = 27
There are 27 customer that were lost over time.
=> 27 / 47 = 0.57 * 100 = 57%
Let’s try checking our answer:
=> 47 * .57 = 26.79 or round off to 27, since we rounded off also our percentage.
Each scenario can be used to simulate probability, and there are 3 correct scenarios and 2 incorrect scenarios in the list of options
<h3>How to categorize the simulations?</h3>
From the question, we have the following parameters:
- Number of throws = 30
- Number of hits = 20
This means that the probability of hit is:
P(Hit) = 20/30
Simplify
P(Hit) = 2/3
Using the complement rule,
P(Miss) = 1/3
The above means that the simulation that represents the situation must have the following parameters:
- P(Success) = 2/3
- P(Failure) = 1/3
- Number of experiments = 3
Using the above highlights, the correct scenarios are:
- Rolling a die three times with numbers 1 to 4 representing a hit
- Spinner a spinner of 3 equal sections three times with two sections representing hit
- Spinner a spinner of 6 equal sections three times with four sections representing hit
Read more about probability at:
brainly.com/question/25870256
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Answer:
5
Step-by-step explanation:
Using pythagoras theorem
