**Answer:**

D. 0.5256

**Step-by-step explanation:**

Use binomial probability:

P = nCr p^r q^(n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Given n = 10, p = 0.25, and q = 0.75.

If r = 0:

P = ₁₀C₀ (0.25)⁰ (0.75)¹⁰⁻⁰

P = 0.0563

If r = 1:

P = ₁₀C₁ (0.25)¹ (0.75)¹⁰⁻¹

P = 0.1877

If r = 2:

P = ₁₀C₂ (0.25)² (0.75)¹⁰⁻²

P = 0.2816

So the total probability is:

P = 0.0563 + 0.1877 + 02816

P = 0.5256

**Answer:**

f(3) = 425

f(3) is the elevation of a mountain climber after 3 hours of climbing.

**Step-by-step explanation:**

So we are given a line that relates time to elevation. We are also given that the equation of the line is f(x) = 125x + 50. From looking at the graph given, we can see that x is the time, in hours, and y, or f(x), is the height, in feet. We are asked to find f(3) and interpret it's meaning.

To find f(3), we would have to find what f(x) is when x = 3. To do this, lets plug in 3 for x into the given equation:

f(3) = 125(3) + 50 = 425

So f(3) = 425. Now, we already know that x is the time in hours and y, or f(x), is the elevation in feet. We set x to 3 when solving for f(3). We have also found that f(3), or y when x = 3, is 425. So f(3), or 425, is the elevation after 3 hours.

I hope you find my answer and explanation to be helpful. Happy studying.

1.

(a) amount of potting soil he purchased last week

(b) 28 = 2p + 4

(c) 28 = 2p + 4

28 - 4 = 2p

24 = 2p

24/2 = p

12 = p

(d) last week, he bought 12 lbs of potting soil

2. F = ma

(a) F/m = a

(b) -25/10 = a

-2.5 = a

(c) F = ma

25 = 5m

25/5 = m

5 = m

3.

(a) cost of the t-shirt

(b) 12 + x = 23

(c) 12 + x = 23

x = 23 - 12

x = 11

(d) the t-shirt (x) cost $ 11

**Answer:**

g

**Step-by-step explanation:**