ANSWER

EXPLANATION
We want to find the exact value of cos(150°).
150° makes an angle of 30° with the positive direction of the x-axis and it is also in the second quadrant.
The cosine ratio is negative in the second quadrant.
Using the unit circle,

Answer:
–√(7) must also be a root of f(x)
Step-by-step explanation:
Given that the roots of an equation is 3 and √(7). This means that x = 3 or √(7). Therefore, the function is definitely going to be:
f(x) = (x – 3)(x² – 7)
This is because we are dealing with √(7) and what brought about √(7) was x² = 7.
If this is the case, we know that x² = 7 will give
x = ±√(7)
Hence, our roots are x = 3 or √(7) or –√(7). Therefore, –√(7) must also be a root of f(x).
Answer:
See explaination
Step-by-step explanation:
We can define standard deviation in statistics as a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.
See attachment for the step by step solution
This looks super duper hard wish I can solve it out