Answer:
2.5, -2
Explanation:
The coordinate of y is -2 & the coordinate of x is 2.5.
First Expression: 10.99 + 1.25s
Second Expression: 10.99 + 1.25(6) equals $18.49
To solve the second one you do 1.25*6 you get 7.5 then add to the membership fee 10.99 + 7.5 you should get 18.49
The best way to think about this question is that probability is always out of a total of 1. For example, someone may have a 1/4 chance of picking a certain marble but they will never have a 2 chance of picking a certain marble (that doesn't make any sense). Therefore, we can imagine that the sum of all three probabilities to pick prizes will be 1. We can then set the sum of the probabilities equal to 1:
x+3x+16x=1
You first combine like terms to get 20x=1. Then you divide both sides by 20 to get x=1/20, which is the value of x. This makes sense because you have a small chance of picking a toy in comparison to picking a pen or pencil.
I hope this helps.
C = 82.8°
<span>b = 27.5 </span>
<span>Here's the working in case you need to see it. </span>
<span>Using Law of Cosines to first find b: </span>
<span>b² = a² + c² - 2acCOS(B) </span>
<span>b² = (41)² + (20)² - 2(41)(20)COS(36) </span>
<span>b = about 27.5 </span>
<span>Now using Law of Sines to find A </span>
<span>sin(36) / (27.5 = sin(A) / (41) </span>
<span>sin(A) = 41sin36 / 27.5 </span>
<span>sin(A) = 0.876334376145 </span>
<span>A = SinInverse(0.876334376145) </span>
<span>A = about 61.2° </span>
<span>Now using 180-61.2-36 to find B = 82.8° </span>
<span>Have a good day! </span>
For this case the first thing you should know is that if the coefficient of determination (R) is equal to 1, the graph is totally perfect.
Therefore, the closer the value of R is to one, the mathematical model will be the most appropriate.
We have then:
The coefficient of determination for the linear model was 0.95.
Therefore, the mathematical model must be linear.
Answer:
A model that should be used to represent the data set is:
A linear
