What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)?
1 answer:
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x = 8, y = 0
y=x-4
y=-x+2
We substitute y=x-4 into the y for y=-
x+2, and we get:
x-4 = -
x+2
+x +
x
x -4 = 2
+4 +4
x = 6
(4)x = 6 (4)
The 4's cross out and we get:
3x = 24
/3 /3
x=8
Not we substitute x(8) into one of our original equations: y=x-4
y=x-4
y=(8)-4
y=4-4
y-0
We get our final answer: (8,0)
Hope that helps!
For this case we have the following equation:
We must clear the variable "x":
We multiply by 2 on both sides of the equation:
We divide by h on both sides of the equation:
We subtract "a" on both sides of the equation:
Answer:
Answer:
The hippocampus volumes in the alcoholic adolescents are less than the normal volume of 9.02 cm³
Step-by-step explanation:
Let x= the hippocampus volumes in the alcoholic adolescents
We'll conduct a hypothesis test at the 0.01 significance level with
Null hypothesis: x = 9.02 cm³
Alternate hypothesis: x < 9.02 cm³
A sample of 13 alcoholic adolescents gives the parameters
size=N= 13
mean=M= 8.12 cm³
standard deviation= s= 0.8 cm³
According to the sample, with 99% confidence, t statistic for the value X=9.02 can be found using the formula:
t= where
- M is the sample mean (8.12)
- s is the standard deviation of the sample (0.8)
- N is the sample size (13)
If we put these numbers in the formula:
t= =4.056
One tailed critical value for the sample with 12 degrees of freedom (sample size-1) in 99% confidence level is 2.681.
Since t value (4.056) is bigger than the critical value, we fail to reject the alternate hypothesis, therefore reject the null hypothesis and accept alternate hypothesis.