For spirit day, each 8th-grade homeroom designs a unique two- color t-shirt. they get to choose from the colors red (r), blue (b), green (g), violet (v), and orange (o). each t-shirt is a solid color with a different color used for the student's name. what is the probability that a homeroom will have a t-shirt with a combination of blue and violet? (a) p(b and v)=10% (b) p(b and v)=20% (c) p(b and v)=30% (d) p(b and v)=40%

Option A

P(B and V)=10%

Step-by-step explanation:

To solve this poroblema we use the formula of combinations:

Where n is the number of objects that can be chosen and you choose r from them.

There are 5 colors of shirts.

The number of shirts that can be made by combining 2 of the 5 possible colors is calculated as:

The number of shirts that can be made by combining 2 of the 2 possible colors (B) and (V) is calculated as:

Then the probability is:

-1, -2, -3, -4, -6

step-by-step explanation:

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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step-by-step explanation: