4. A fair ten-sided dice with numbers 1 to 10 on it is thrown. Calculate the probability of obtaining (a) a 1.
(b) an even number.
(c) a number which has an integer square root.
(d) a number of at most 7 and at least 4.

Find the solution set of this inequality. enter your answer in interval notation using grouping symbols. |8x-4| ≤ 12

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Which function has an inverse function? a. f(x)= |x+3|/5 b. f(x)= x^5-3 c. f(x)= x^4/7+27 d. f(x)= 1/x²