Answer:
1 : 2
Step-by-step explanation:
this is a 30-60-90 triangle which is a special right triangle. the ratio of the sides is x: x*sqrt(3): 2x, in the order short leg: long leg: hypotenuse. so the ratio of the short leg to the hypotenuse is x:2x or 1:2
Answer:
The average rate of change is 4.
Step-by-step explanation:
It is 4 because when you do the formula to find the rate of change it comes out to be 4.
Answer:
13,823
Step-by-step explanation:
12X is the period of what is the period of f : R→R, f(x) = tan(x 3)?
Answer:
The probability that the student is going to pass the test is 0.0545
Step-by-step explanation:
The variable that says the number of correct questions follows a Binomial distribution, because there are n identical and independent events with a probability p of success and a probability 1-p of fail. So, the probability of get x questions correct is:

Where n is equal to 10 questions and p is the probability of get a correct answers, so p is equal to 1/2
Then, if the student pass the test with at least 8 questions correct, the probability P of that is:
P = P(8) + P(9) + P(10)

P = 0.0439 + 0.0097 + 0.0009
P = 0.0545