1. You will use the right triangular prism to answer parts a and b below. A) Find the surface area of the right triangular prism above. Show all your steps to receive full credit (5 points) B) Find the volume of the right triangular prism above. Show all your steps to receive full credit. (5 points) 2. You will use the right trapezoidal prism to answer part a below. I suggest you find the area of the prism's BASE then find the volume of the prism. If you do not know the formula for the area of a trapezoid, look it up.' A) Find the volume of the trapezoidal prism. Show all your steps to receive full credit. (5 points)

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

if the probability is 1/12, 75 people will receive a $25 gift card

step-by-step explanation: