Answer:
p(chocolate chip) = 2/7
p(oatmeal) = 7/27
Step-by-step explanation:
probability = favorable outcomes/total outcomes
First, add up all the cookies in the bag.
8 + 6 + 7 + 7 = 28
Next find the probability of selecting a chocolate chip cookie. Since there are 8 chocolate chip cookies and 28 cookies in the bag, create a fraction.
p(chocolate chip) = 8/28
reduce by 4
p(chocolate chip) = 2/7
Now that the cookie was eaten that will reduce the number of chocolate chip cookies to 7 and the overall number of cookies to 27.
There are 7 oatmeal cookies and 27 total cookies, so create the fraction.
p(oatmeal) = 7/27
Answer:
2.5
Step-by-step explanation:
graham crackers each student receive = total number of crackers / total number of students
20 / 8 = 2.5
Given that the two functions are
and 
We need to determine the value of 
<u>The value of </u>
<u>:</u>
The value of
can be determined using the formula,
![(f \circ g)(x)=f[g(x)]](https://tex.z-dn.net/?f=%28f%20%5Ccirc%20g%29%28x%29%3Df%5Bg%28x%29%5D)
Substituting
in the above formula, we get;
![(f \circ g)(x)=f[-9x^2-2x+1]](https://tex.z-dn.net/?f=%28f%20%5Ccirc%20g%29%28x%29%3Df%5B-9x%5E2-2x%2B1%5D)
Now, substituting
in the function
, we get;



Thus, the value of
is 
<u>The value of </u>
<u>:</u>
The value of
can be determined by substituting x = -6 in the function 
Thus, we have;




Thus, the value of
is -2797
Hence, Option B is the correct answer.
The cosine repeats itself every 360 degrees, and it mirrors at 0 and 180 degrees. It inverts around 90 and 270.
So without using a calculator, you can tell that:
cos(520)=cos(520-360)=cos(160)
cos(160) = cos(180-20) = cos(180+20) = cos(200)
cos(160) is NOT equal to cos(20), it would be -cos(20).
cos(160) = -cos(20) = -cos(-20)
So C is the only one unequal.