You can find the remainder right away by simply plugging in
. The polynomial remainder theorem guarantees that the value of
is the remainder upon dividing
by
, but I digress...
Synthetic division yields
3 | 2 -11 18 -15
. | 6 -15 9
- - - - - - - - - - - - - - - - -
. | 2 -5 3 -6
which translates to
(and note that
, as expected)
Answer: TRUE
Step-by-step explanation: hope this helps
Answer:
LA = 120 sq cm
SA = 132 sq. cm.
Step-by-step explanation:
LA = ph where p = perimeter of the base and h = the height of prism.
Your base is a triangle. The third side = 
= 
Now, the perimeter of the triangle is 3 + 4 + 5 = 12
So, LA = 12(10) = 120 sq cm
The area of the base is the area of a triangle. A = bh/2 = 4(3)/2 = 6
SA = 2B + LA where B is the area of the base
SA = 2(6) + 120 = 12 + 120 = 132 sq. cm.
Answer:
36 servings
Step-by-step explanation:
36 different servings
Simply,
3 x 12 = 36
The expected value of the sample mean of the values obtained in these 300 tosses is 3.5
Given :
A fair six sided die is tossed 300 times
We have to find the expected value of the sample mean of the values obtained in these 300 tosses.
A dice have six sides:
In a fair dice every side has equal chance of occurrence,
Now the probability of presence of each side = 1/6
Now the expected value of the sample mean of the values obtained in these 300 tosses is given by:
E(x) = Σx P(x =x)
= 1*1/6 + 2*1/6 + 3*1/6 + 4*1/6 + 5*1/6 + 6*1/6
= 1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6
= 1/6 (1+2+3+4+5+6)
= 1/6 (21)
= 21/6
E(x) = 3.5
Hence, the expected value of the sample mean of the values obtained in these 300 tosses is 3.5
To know more about sample mean check the below link:
brainly.com/question/29739571
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