A trivia game has four categories of questions. The questions are on cards colored red, blue, green, and yellow. There are a different number of questions in each category, so the game
spinner that determines a player's category is divided into sectors proportional to the
number of cards of each color, as shown on the spinner below. If the cards in a category are
all used, then a player spinning that color loses a turn.
Blue 75°
Yellow 115°
Red 80°
Green 90°
On the first spin of the game, what is the probability that a player will be assigned a question
from the blue category? Give your answer as a decimal rounded to the nearest hundredth.

the answer is 0.071

good luck! : d

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.