The graph shows the results of tossing two coins 20 times. The two sides of the coin show head (H) and tails (T). Based on the results, what is the probability that both coins will show heads the next time coins are tossed.

One-third of the people from country a claim that they are from country b, and the rest admit they are from country a. one-fourth of the people from country claim that they are from country a, and the rest admit they are from country b. in a combined census of the two countries, one-half of the total claimed to be from a. what is the ratio of the populations of country a to that of country b.

[15 points]find the least common multiple of the expressions: 1. 3x^2, 6x - 18 2. 5x, 5x(x +2) 3. x^2 - 9, x + 3 4. x^2 - 3x - 10, x + 2 explain if possible

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.