Answer:
√89 km ( = 9.43 km)
Step-by-step explanation:
refer to attached figures
Because we are given 2 sides of a right triangle, we can use the Pythagorean theorem to solve.
5² + 8² = x²
x² = 25 + 68
x² = 89
x = √89 ( = 9.43 km)
Important Info
2 out of 10 flowers are daisys
she’s making 4 arrangements
2 (daisys) x 4 (arrangements) = 8 daisys to make 4 arrangements
Using similar triangles, we see that 12/x = x/16. Multiplying by 16x, we see that x^2=12*16=192.
By the Pythagorean Theorem,

. Since x^2=192, we know that

. Subtracting 144 from both sides, we see that

, so y=

.
Answer: The first and second options are random samples.
First, assign numbers and drawing the number from a bowl would be a great way to get a random sample. Everyone has the same chance of being selected.
Second, using an alphabetical order is just like the first choice. The chances are the same for everyone.
However, in the third choice, you won't get a random sample. You will get an old and young group. Not a random group of the population.