17 tens= 17x10= 170
and
1hundred + 7tens= 100+7x10= 100+70=170
Answer:
![\sin(1395)=-\frac{\sqrt 2}{2}\\\cos(1395)=\frac{\sqrt 2}{2}\\\tan(1395)=-1](https://tex.z-dn.net/?f=%5Csin%281395%29%3D-%5Cfrac%7B%5Csqrt%202%7D%7B2%7D%5C%5C%5Ccos%281395%29%3D%5Cfrac%7B%5Csqrt%202%7D%7B2%7D%5C%5C%5Ctan%281395%29%3D-1)
Step-by-step explanation:
First, instead of doing 1395, let's find its coterminal angles. We can do so by subtracting 360 until we reach a solvable range. So:
![1395-360=1035](https://tex.z-dn.net/?f=1395-360%3D1035)
This is still too high, continue to subtract:
![1035-360=675\\675-360=315\\315-360=-45](https://tex.z-dn.net/?f=1035-360%3D675%5C%5C675-360%3D315%5C%5C315-360%3D-45)
So, instead of 1395, we can use just -45.
So, evaluate each trig function for -45:
1)
![\sin(1395)=\sin(-45)](https://tex.z-dn.net/?f=%5Csin%281395%29%3D%5Csin%28-45%29)
Remember that we can move the negative inside of the sine outside. So:
![=-\sin(45)](https://tex.z-dn.net/?f=%3D-%5Csin%2845%29)
Remember the sine of 45 from the unit circle:
![=-\frac{\sqrt2}{2}](https://tex.z-dn.net/?f=%3D-%5Cfrac%7B%5Csqrt2%7D%7B2%7D)
2)
![\cos(1395)=\cos(-45)](https://tex.z-dn.net/?f=%5Ccos%281395%29%3D%5Ccos%28-45%29)
Remember that we can ignore the negative inside of a cosine function. So:
![=\cos(45)](https://tex.z-dn.net/?f=%3D%5Ccos%2845%29)
Evaluate using the unit circle:
![=\frac{\sqrt 2}{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Csqrt%202%7D%7B2%7D)
Now, remember that tangent is sine over cosine. So: "
![\tan(1395)=\tan(-45)=\frac{\sin(-45)}{\cos(-45)}](https://tex.z-dn.net/?f=%5Ctan%281395%29%3D%5Ctan%28-45%29%3D%5Cfrac%7B%5Csin%28-45%29%7D%7B%5Ccos%28-45%29%7D)
We already know them. Substitute:
![=\frac{-\frac{\sqrt 2}{2}}{\frac{\sqrt 2}{2}}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-%5Cfrac%7B%5Csqrt%202%7D%7B2%7D%7D%7B%5Cfrac%7B%5Csqrt%202%7D%7B2%7D%7D)
Simplify:
![=-1](https://tex.z-dn.net/?f=%3D-1)
And we're done!
Answer:
sorry I don't now when I now I will tell you
Answer:
345,456
Step-by-step explanation:
The value of 3 in 135,864 is 30,000.
We want to write a number that is ten times 30,000.
We could write any other number in which the value of 3 is 300,000.
There are infinitely many numbers that we can write.
Some examples are:
345,456
1,315,445
5,354,456
and so on and so forth.
Answer:
The sampling distribution of the sample average score for this random sample of 64 students is approximately normal, with mean 19.6 and standard deviation 0.625.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 19.6 and a standard deviation of 5.0.
This means that ![\mu = 19.6, \sigma = 5](https://tex.z-dn.net/?f=%5Cmu%20%3D%2019.6%2C%20%5Csigma%20%3D%205)
What is the sampling distribution of the sample average score for this random sample of 64 students?
By the Central Limit Thoerem, the sampling distribution of the sample average score for this random sample of 64 students is approximately normal, with mean 19.6 and standard deviation ![s = \frac{5}{\sqrt{64}} = \frac{5}{8} = 0.625](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B5%7D%7B%5Csqrt%7B64%7D%7D%20%3D%20%5Cfrac%7B5%7D%7B8%7D%20%3D%200.625)