Answer:
I think its A, Because if you look at the problome A makes sense
Answer:
a) H0:
H1:
b) ![df = n-1= 10-1=9](https://tex.z-dn.net/?f=%20df%20%3D%20n-1%3D%2010-1%3D9)
And the critical values with
on each tail are:
![\chi_{\alpha/2}= 1.735, \chi_{1-\alpha/2}= 23.589](https://tex.z-dn.net/?f=%20%5Cchi_%7B%5Calpha%2F2%7D%3D%201.735%2C%20%5Cchi_%7B1-%5Calpha%2F2%7D%3D%2023.589)
c)
d) For this case since the critical value is not higher or lower than the critical values we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not significantly different from 1.34
Step-by-step explanation:
Information provided
n = 10 sample size
s= 1.186 the sample deviation
the value that we want to test
represent the p value for the test
t represent the statistic (chi square test)
significance level
Part a
On this case we want to test if the true deviation is 1,34 or no, so the system of hypothesis are:
H0:
H1:
The statistic is given by:
Part b
The degrees of freedom are given by:
![df = n-1= 10-1=9](https://tex.z-dn.net/?f=%20df%20%3D%20n-1%3D%2010-1%3D9)
And the critical values with
on each tail are:
![\chi_{\alpha/2}= 1.735, \chi_{1-\alpha/2}= 23.589](https://tex.z-dn.net/?f=%20%5Cchi_%7B%5Calpha%2F2%7D%3D%201.735%2C%20%5Cchi_%7B1-%5Calpha%2F2%7D%3D%2023.589)
Part c
Replacing the info we got:
Part d
For this case since the critical value is not higher or lower than the critical values we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not significantly different from 1.34
Answer:
x= 11
A=59
B= 37
C = 84
Step-by-step explanation:
A triangle adds up to 180 °.
So the equation will be a °+ b° + c° = 180°
Next, you combine like terms.
![6x + 3x + 9x+4-15-7 = 180\\18x-18=180](https://tex.z-dn.net/?f=6x%20%2B%203x%20%2B%209x%2B4-15-7%20%3D%20180%5C%5C18x-18%3D180)
Then inverse operation,
![18x-18=180\\18x=198\\x=11](https://tex.z-dn.net/?f=18x-18%3D180%5C%5C18x%3D198%5C%5Cx%3D11)
After to get a, b, and c you just need to plug in x.
![6(11)-7=a\\3(11)+4 = b\\9(11)-15=c](https://tex.z-dn.net/?f=6%2811%29-7%3Da%5C%5C3%2811%29%2B4%20%3D%20b%5C%5C9%2811%29-15%3Dc)
Answer:
(12-7x)
Step-by-step explanation:
144 − 49x²
by observation, we can see that 144 = 12² and 49 = 7²
hence we can rewrite the equation
144 − 49x²
= 12² - 7²x²
= 12² - (7x)²
recall that the expression x² - y² = (x+y)(x-y)
hence,
12² - (7x)²
= (12 + 7x)(12-7x)
(12-7x) appears in the expression above, hence 12 -7x is a factor
The maximum is 5, and the minimum is 1. The max. is in the are on the same side, which combines forces of 3 and 2. The min. uccors when they are on opposite sides.