Answer:
6,265 votes
Step-by-step explanation:
The residents of a city voted on whether to raise property taxes. The ratios of yes votes to no votes was 5 to 7. If there were 10,740 total votes, how many no votes were there?
Given that :
Ratio of yes votes to no votes = 5 to 7
Yes votes : no votes = 5 : 7
Total votes = 10,740
The actual number of yes votes and no votes can be obtained thus :
Sum of ratio = (5 + 7) = 12
(ratio of vote / sum of ratio) * total votes
Number of no votes :
(Ratio of no votes / total ratio) * total votes
(7 / 12) * 10,740
0.5833333 * 10,740
= 6,265 votes
Number of no votes = 6,265 votes.
Answer:
12.3693
Step-by-step explanation:
use distance formula
The solution of the quadratic equation is x = 0 or x = 6 ⇒ 4th answer
Step-by-step explanation:
The form of the quadratic equation is ax² + bx + c = 0, where
- a is the coefficient of x²
- b is the coefficient of x
- c is the numerical term
The quadratic equations has two roots, to find them factorize it into two factors and equate each factor by zero
∵ 3x = 0.5 x²
- Subtract 3x from both sides
∴ 0 = 0.5x² - 3x
- Multiply both sides by 2 to make the coefficient of x² integer
∴ 0 = x² - 6x
- Switch the two sides
∴ x² - 6x = 0
- Factorize it by taking x as a common factor
∴ x(x - 6) = 0
- Equate each factor by 0
∴ x = 0 → 1st root
∴ x - 6 = 0
- Add 6 to both sides
∴ x = 6 → 2nd root
∴ The roots of the equation are 0 or 6
The solution of the quadratic equation is x = 0 or x = 6
Learn more:
You can learn more about the quadratic equation in brainly.com/question/1357167
#LearnwithBrainly
The square root of 36,546 is: 191.170
Answer:
Step-by-step explanation:
Hello!
If you consider the 6-sided dice to be balanced, then each result has the same probability of occurrence: P(1)=P(2)=P(3)=P(4)=P(5)=P(6)=
And each time Tom rolls the dice is independent of the other times, this means that you can disregard all previous rolls and calculate the 10nth time as if it is the 1st one.
Be the event A: "Tom rolled the dice for the 10nth time and obtained a 6"
The probability of A occurring will be P(A)= 1/6
On the other hand, the complement of "A" will be : "Tom rolled the dice for the 10nth time and didn't obtain a 6"
This means he could obtain a 1 or a 2 or a 3 or a 4 or a 5
You can calculate the probability pf this event by adding the probability of obtaining each value P()= P(1)+P(2)+P(3)+P(4)+P(5)= 1/6*5= 5/6
Or by subtracting the probability of A to the total probability of the sample space:
P()= 1 - P(A)= 1 - 1/6= 5/6
I hope this helps!