we won´t have any triangle with these measures.
law of cosines.
a²=b²+c²-2bc(cosФ)
Data:
a=1
b=2
A=31º
Therefore:
1²=2²+c²-4c(cos 31º)
c²-(4cos 31º)c+3=0
4cos 31º≈3.43
We have to solve this equation, and find out the number of solutions:
c=[4cos 31º⁺₋√(11.756-12)]/2=
c=(4cos 31º⁺₋√(-0.244)/2
Because we have the square root of a negative number, we don´t have any possible solutions, that is to say , there are not real solutions for this equation.
Answer: We don´t have any triangle with these measures.
3y -1 =13 - 4y
7y = 14
y= 2
The equation has one solution
Answer: Reject if the confidence interval <u>does not</u> contain the value of the hypothesized mean .
Step-by-step explanation:
In the case of Confidence Intervals and Two-Tailed Hypothesis Tests,
Null hypothesis : [There is no change in mean.]
Alternative hypothesis: [There is some difference.]
Since confidence intervals contain the true population parameter ( mean).
So, Decision rule states that
- Reject if the confidence interval <u>does not </u>contain the value of the hypothesized mean .
- We do not reject if the confidence interval contains the value of the hypothesized mean .
Ordered pairs on an unit circle..
Exact values of the ordered pairs of the unit circle is represented in pictorial form above in degrees and radians.
Hope this helps.