Answer:
This is an identity or infinite solutions
Step-by-step explanation:
10x - 12y = 22
5x - 6y = 11
-2(5x - 6y = 11 )
-10x + 12y = -22
10x - 12y = 22
0=0
Identity solution
Answer:
112
Step-by-step explanation:
Hey There!
So remember opposite the sides given are corresponding with its opposite angle
So the corresponding angle of segment QO is angle P and the corresponding angle of segment PQ is angle O
Thus meaning that angle P and angle O are equal to 34
Now we want to find angle Q
So remember all of the angles in a triangle add up to equal 180
so we subtract the given angles (34 and 34) from 180 to find the missing angle (angle Q)
180-34-34=112
So we can conclude that angle Q = 112
~<em>TheMathWiz</em>
The law of cosines can be helpful here. The largest angle (C) will be opposite the longest side (c). That law tells us ...
... c² = a² + b² -2ab·cos(C)
Then
... cos(C) = (a² +b² -c²)/(2ab)
We don't actually need the angle. We only need to know the sign of the cosine.
... cos(C) = (7² +15² -17²)/(2·7·15) = -15/210 . . . . negative sign, so C > 90°
The sail has the shape of an obtuse triangle.
_____
A triangle solver app on your calculator, phone, tablet, or computer can give you the result easily.
Answer:1
Step-by-step explanation: f(x)=-2 |x+1|
plug in the f(x) which is -2 into x to solve.
|-2+1|= |-1|= 1, it turns into positive 1.
Answer:
The 95% confidence interval for the proportion of college students who get 8 or more hours of sleep per night is (0.133, 0.161).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
For this problem, we have that:
95% confidence level
So , z is the value of Z that has a pvalue of , so .
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the proportion of college students who get 8 or more hours of sleep per night is (0.133, 0.161).