Answer:
Let y represents the dog and x represents the Cat.
As per the Statement:
A total of 34 dogs and cats participated in the pet store’s adoption event.
⇒ x+y = 34 ......[1]
It is also given that the number of dogs that were adopted was 7 more than twice the number of cats.
"Twice times the number of cats" means 2x
"7 more than twice the number of cats means 2x + 7
⇒
Then, system of equations are;
x +y = 34
y = 2x + 7
Now, plot the graph of these equation as show below:
The point intersection is, (9, 25) which represents 9 cats and 25 dogs are participated in the pet store's adoption event.
Answer: There are many uses for the variable* y in math: it is often used as a variable and the y axis of a coordinate plane (the line that is vertical.)
* = Variable: any unknown number in algebra, is usually replaced with letters, such as x or y.
Answer:
Margin of error = 0.475
Step-by-step explanation:
Given that,
Confidence level, C = 0.95
Sample size, n = 100
Population standard deviation, 
When the confidence level is 0.95, the value of 
The margin of error is given by :

So, the margin of error is 0.475.