We have to add the equations in a clever way such that one of the variables cancels out. If you multiply the top one with 3 and the bottom one with 2, you cancel x. Like this:
3(2x+3y)=3*6 => 6x + 9y = 18
2(-3x+5y)=2*10 => -6x + 10y = 20
9y + 10y = 38 => 19y = 38 => y=2
If y=2 then 2x + 6 = 6 => x=0
The pair (0,2) is a solution.
Answer: y= -1/6x+5/3
Step-by-step explanation:
Answer:
The P-value is 0.0166.
Step-by-step explanation:
<u>The complete question is:</u> In a one-tail hypothesis test where you reject H0 only in the lower tail, what is the p-value if ZSTAT = -2.13.
We are given that the z-statistics value is -2.13 and we have to find the p-value.
Now, the p-value of the test statistics is given by the following condition;
P-value = P(Z < -2.13) = 1 - P(Z
2.13)
= 1 - 0.9834 = <u>0.0166</u>
Assuming that the level of significance is 0.10 or 10%.
The decision rule for rejecting the null hypothesis based on p-value is given by;
- If the P-value of the test statistics is less than the level of significance, then we have sufficient evidence to reject the null hypothesis.
- If the P-value of the test statistics is more than the level of significance, then we have insufficient evidence to reject the null hypothesis.
Here, the P-value is more than the level of significance as 0.0166 > 0.10, so we have insufficient evidence to reject the null hypothesis, so we fail to reject the null hypothesis.
Answer:
C
Step-by-step explanation:
All sides of a square are equal.
I assume that you meant RS and ST are segments of RT. If that is true then:
RS+ST=RT, using the values for these given...
8y+4+4y+8=36 combine like terms on left side
12y+12=36 subtract 12 from both sides
12y=24 divide both sides by 12
y=2