Well, its kind of obivious that 2x + 4 stands out, but I think you are asking why. Whereas all other lines shown are vertical or horizontal, 2x+4 is diagonal.
Answer:
Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have
and for the denominator we have
and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:
For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different
Step-by-step explanation:
Information given
represent the sampe size 1
represent the sample 2
represent the sample deviation for 1
represent the sample variance for 2
represent the significance level provided
The statistic is given by:
Hypothesis to test
We want to test if the variations in terms of the variance are equal, so the system of hypothesis are:
H0:
H1:
The statistic is given by:
Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have
and for the denominator we have
and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:
For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different
Answer:
Step-by-step explanation:
Show that if 3x – 7 = 5, then x = 4.
Here, our given statement is 3x – 7 = 5, and we're asked to prove x = 4.
x=4
Statements Reasons
1. 3x – 7 = 5 Given
2. 3x – 7 + 7 = 5 + 7 Addition of 7 to equation (1)
3. 3x + 0 = 5 + 7 Substitution of –7 + 7 = 0 into (2)
4. 3x = 5 + 7 Substitution of 3x + 0 = 3x into (3)
5. 3x = 12 Substitution of 5 + 7 = 12 into (4)
6. 3x⁄3 = 12⁄3 Dividing equation (5) by 3
7. x = 12⁄3 Substitution of 3x⁄3 = x into (6)
8. x = 4 Substitution of 12⁄3 = 4 into (7)
Is there such a thing as being too descriptive? Yep, and that was it, since over half the proof was devoted to telling the reader how to do arithmetic. We'll typically take numerical computation for granted, and write proofs like this:
First solve for the other angles.
You know one angle is 15º.
The one across from it is also 15º since it is a vertical angle to the known 15º angle.
Both of those together gets 30º.
The whole thing is 360º, so just subtract 30 from 360 and divide.
360 - 30 = 330
Do the same for the 15x angle.
The one under/across to it is a vertical angle so is also 15xº.
Now you are left with 30xº = 330.
Just divide now.
330 / 30 = 11
x = 11
15x = 165
Checking your work:
15x = 165
15x = 165
15
15
Those are the angles.
Add those numbers together and make sure it adds up to 360º.
165 + 165 + 15 + 15 = 360
So this is correct.