Answer:
8
Step-by-step explanation:
Answer:
all real numbers.
Step-by-step explanation:
9x - 8y = 1
18x - 16y = 2
if you look at the first equation, you can figure out what y equals.
9x - 8y = 1
<em>add 8y to both sides</em>
9x = 1 + 8y
<em>subtract 1 from both sides</em>
9x - 1 = 8y
<em>divide both sides by 8</em>
= y
<em />
now, substitute y in the second equation.
18x - 16y = 2
18x - 16(
) = 2
18x - 2(9x - 1) = 2
18x - 18x +2 = 2
2 = 2
the answer is <em>all real numbers, </em>because regardless of what x equals, 2 will always equal 2.
Answer:
a) Yes b) No
Step-by-step explanation:
Given that the p value for a two-sided test of the null hypothesis H0: μ = 10
is 0.06
a) ![p value = 0.06.\\Confidence level = 95%\\Significance level = 100-95 = 5%\\Alpha = 0.05\\\\p \geq \alpha is true](https://tex.z-dn.net/?f=p%20value%20%3D%200.06.%5C%5CConfidence%20level%20%3D%2095%25%5C%5CSignificance%20level%20%3D%20100-95%20%3D%205%25%5C%5CAlpha%20%3D%200.05%5C%5C%5C%5Cp%20%20%5Cgeq%20%5Calpha%20is%20true)
Hence we accept null hypothesis
This implies that 10 will be within the confidence interval of 95%
b) If confidence level = 90%
![\alpha = 0.10\\p value = 0.06\\p \leq 0.10](https://tex.z-dn.net/?f=%5Calpha%20%3D%200.10%5C%5Cp%20value%20%3D%200.06%5C%5Cp%20%5Cleq%200.10)
So we have to reject null hypothesis.
So we do not have 10 in the confidence interval
The reason is the lower the confidence level, the narrower the confidence interval. In this case, 10 has gone outside the narrower interval hence we get this.
Answer:
b. y = -9
Step-by-step explanation:
A line with zero slope has no dependence on x. It is simply ...
... y = constant
The constant must be the same as the y-value of the point you want the line to go through. Since the point is (12, -9), the constant is -9 and the equation is ...
... y = -9