Answer:
34
Step-by-step explanation:
Angles 3 and 7 are corresponding angles. When the lines defining the base of the corresponding angles are parallel (as in this case where a is parallel to b), then the angles are equal.
That's the heavy duty definition. It just means that corresponding angles in parallel lines are equal.
So if <3 = 34 degrees, then <7 = 34 degrees.
Step-by-step explanation:
i dont know . i'm sorry.......
Answer:
![f^{-1}(x)=\pm \sqrt{49x^2-16}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Cpm%20%5Csqrt%7B49x%5E2-16%7D)
Not a function.
Step-by-step explanation:
The given function is;
![f(x)=-\frac{1}{7}\sqrt{16-x^2}](https://tex.z-dn.net/?f=f%28x%29%3D-%5Cfrac%7B1%7D%7B7%7D%5Csqrt%7B16-x%5E2%7D)
Let ![y=-\frac{1}{7}\sqrt{16-x^2}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B7%7D%5Csqrt%7B16-x%5E2%7D)
Interchange x and y;
![x=-\frac{1}{7}\sqrt{16-y^2}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B1%7D%7B7%7D%5Csqrt%7B16-y%5E2%7D)
Solve for y;
![-7x=\sqrt{16-y^2}](https://tex.z-dn.net/?f=-7x%3D%5Csqrt%7B16-y%5E2%7D)
Square both sides
![(-7x)^2=(\sqrt{16-y^2})^2](https://tex.z-dn.net/?f=%28-7x%29%5E2%3D%28%5Csqrt%7B16-y%5E2%7D%29%5E2)
![49x^2^2=16-y^2](https://tex.z-dn.net/?f=49x%5E2%5E2%3D16-y%5E2)
![49x^2^2-16=y^2](https://tex.z-dn.net/?f=49x%5E2%5E2-16%3Dy%5E2)
![y=\pm \sqrt{49x^2-16}](https://tex.z-dn.net/?f=y%3D%5Cpm%20%5Csqrt%7B49x%5E2-16%7D)
The inverse is
![f^{-1}(x)=\pm \sqrt{49x^2-16}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Cpm%20%5Csqrt%7B49x%5E2-16%7D)
is not a function because one x-value maps onto to different y-values.
Answer:
a) E(X) = 71
b) V(X) = 20.59
Sigma = 4.538
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January 5, 2015).
</em>
<em>
Suppose we randomly select 100 tweets.
</em>
<em>a) What is the expected number of these tweets with no reaction?
</em>
<em>b) What are the variance and standard deviation for the number of these tweets with no reaction?</em>
This can be modeled with the binomial distribution, with sample size n=100 and p=0.71, as the probability of no reaction for each individual tweet.
The expected number of these tweets with no reaction can be calcualted as the mean of the binomial random variable with these parameters:
![E(X)=n\cdot p=100\cdot 0.71=71](https://tex.z-dn.net/?f=E%28X%29%3Dn%5Ccdot%20p%3D100%5Ccdot%200.71%3D71)
The variance for the number of these tweets with no reaction can be calculated as the variance of the binomial distribution:
![V(X)=np(1-p)=100\cdot0.71\cdot0.29=20.59](https://tex.z-dn.net/?f=V%28X%29%3Dnp%281-p%29%3D100%5Ccdot0.71%5Ccdot0.29%3D20.59)
Then, the standard deviation becomes:
![\sigma=\sqrt{V(X}=\sqrt{20.59}=4.538](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7BV%28X%7D%3D%5Csqrt%7B20.59%7D%3D4.538)
Answer:
-14.5
Step-by-step explanation:
- Take - common: -(11.0+3.5)
- Just add them in the bracket: -(14.5)
- Remove the bracket: -14.5