Answer: (1, 4)
Explanation: When using the method of elimination, the goal is to eliminate a variable by either adding or subtracting the 2 equations. For this question, you can choose either to eliminate X or Y. I’ll eliminate X as an example:
In order to eliminate a variable, the same variable in both equations must have the same coefficient.
(1) 3x+y=7
(2) 2x+5y=22
Multiply (1) by 2:
(3) 6x+2y=14
Multiply (2) by 3:
(4) 6x+15y=66
Now that X in both equations has the same coefficient of 6, you can subtract the two equations to officially eliminate the variable and solve for Y:
Subtract (4) from (3):
-13y=-52
y=4
Now that you have the value of Y, substitute that into either one of the equations to get X. I’ll use the first equation as an example:
3x+(4)=7
3x=3
x=1
Therefore, the point of intersection is (1, 4).
Hope this helps シ
Answer: 15
Step-by-step explanation:
Answer:
D.The flaw is that the spinner did not include a significance level. A significance level must be included to know if the null hypothesis can be rejected.
Step-by-step explanation:
In hypotheses testing, <em>null and alternative </em>hypotheses are set. In this example
Let p1 be the probability of getting heads out of a spin and
p2 be the probability of getting tails out of a spin
p1=p2, that is coin is not biased
p1≠p2, that is coin is biased.
To test these hypotheses, sample result observed and p-value of the result express the probability of the sample result occurring under the assumption that null hypothesis is true.
To conclude that the p-value is significant, a significance level has to be set. If the p-value is under the significance level, then null hypothesis can be rejected, otherwise we fail to reject the null hypothesis.