Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
<u>1) Translate the information into equations</u>
"One is 7 more than twice the other"
⇒ 
"The sum of the numbers is 43"
⇒ 
<u>2) Use substitution to solve for the smaller number</u>
Plug the equation into the above equation
Subtract both sides by 7
Divide both sides by 3 to isolate x
Therefore, the smaller number equates to 12.
<u>3) Use substitution to solve for the greater number</u>
Plug in x as 12
Subtract both sides by 12 to isolate y
Therefore, the greater number equates to 31.
I hope this helps!
-2 is a degree 0 polynomial with 1 term and 0 variables
Answer:
(x+1)^2 + (y-7)^2 = 2^2
Step-by-step explanation:
The center of the circle is at (-1,7) and the radius from the center to the edge is 2, so the equation should look like (x-h)^2 + (y-k)^2 = r^2
You would flip the signs of the center so that when you solve the equation it ends up in the correct place.
12/30 is simplified to 2/5 and<span>number of students trying out the same for both boys and girls</span> 16/40 is also simplified to 2/5 so YES the number of students trying out is the same for both boys and girls. I hope this helps :)
Answer:
0.025
Step-by-step explanation:
Hello!
Given that the classes are uniformly distributed between 45.0 and 55.0 minutes, the propability distribution will be:
Now, we are looking for a probability P(51.5<x<51.75) which can be computed as:
Therefore:
P(51.5<x<51.75) = 0.025
or
P(51.5<x<51.75) = 2.5%
<em><u>I strongly believe that the answer for both questions have the same answer, I believe this because there is no additional info for a given class or selecting a class. I think both probabilities are the same.</u></em>
