Answers:
Domain = [-3, 3]
Range = [-1, 2]
=============================================
Explanation:
The domain is the set of all allowed x inputs. Visually, the left-most point is when x = -3, so -3 is the smallest allowed x input. We have a closed circle at this endpoint, so this endpoint x value is included. In contrast, if you had an open circle, then you would exclude the endpoint.
Similarly, we have a closed endpoint at the other side as well when x = 3. This is the largest allowed x value. The domain is the set of x values such that 
meaning x is between -3 and 3, including both endpoints. This translates to the interval notation of [-3, 3]. The square brackets say "include the endpoint".
------------
The range is the set of possible y outputs of a function. The lowest the function goes is when y = -1, and the highest is when y = 2. We include both endpoints. The range as a compound inequality is 
which converts to the interval notation of [-1, 2]
Step-by-step answer:
assuming the true-false test have equal probabilities (each 0.5), we can use the binomial probability to calculate the sum of probabilities of getting 10, 11 or 12 questions correctly out of 12.
p=probability of success = 0.5
N=number of questions
x = number of correct answers
then
P(x) = C(N,x)(p^x)((1-p)^(N-x))
where C(N,x) = N!/(x!(N-x)!) = number of combinations of taking x objects out of N.
P(10) = C(12,10)(0.5^10)((1-0.5)^2) = 33/2048 = 0.01611
P(11) = C(12,11)(0.5^11)((1-0.5)^1) = 3/1024 = 0.00293
P(12) = C(12,12)(0.5^12)((1-0.5)^0) = 1/4096 = 0.00024
for a total probability of 79/4096 = 0.01929
Check the picture below.
bear in mind that, a perpendicular line stemming from the right-angle like so, creates three similar triangles, a
large one, containing the other two smaller ones, a
medium and a
small.
so.. .we can just use the medium and small proportions.
solve for "x".
Answer:
67
Step-by-step explanation:
62+15=77 - ? =10
The answer is 67
HOPE THIS HELPS :)
PLEASE MARK BRAINLIEST.
Answer:
x=10
Step-by-step explanation:
Rearrange to get p on one side
2.5=0.4p-0.15p
2.5=0.25p
Divide both sides by 0.25
2.5/0.25=x
x=10
