A pizza shop offers 12 different pizza toppings. If the total number of possible outcomes is 36, how many different sizes of single topping pizzas do they offer?
A. 2
B. 3
C. 6
D. 24
Let the number of different sizes of single topping pizzas be x.
Then, the total number of possible outcomes (pizzas with any combination of toppings) is 12x.
We are given that 12x = 36, which simplifies to x = 3.
Therefore, the pizza shop offers 3 different sizes of single topping pizzas.
Answer: B. 3
Multiple Choice
The chart below shows the possible options for beverages, eggs, and bread at a breakfast bar. Which tree diagram correctly shows the possible breakfast choices?
A three column table is shown.· The first column is titled 'Beverages' and contains 'coffee left-parenthesis c right-parenthesis' and ' orange juice left-parenthesis o right-parenthesis.'
· The second column is titled 'Eggs' and contains 'scrambled left-parenthesis s right-parenthesis,' 'hard boiled left-parenthesis h right-parenthesis,' and 'poached left-parenthesis p right-parenthesis.'
· The third column is titled 'Bread' and contains 'bagel left-parenthesis b right-parenthesis' and 'toast left-parenthesis t right-parenthesis.'
A.
A tree diagram is shown.The letters c and o appear in boxes and are stacked vertically. From each of these two boxes, 3 line segments extend to the right with the letters s, h, and p each appearing in a box. These 6 boxes are stacked vertically. From each of these 6 boxes, two line segments extend to the right with the letters b and t each appearing in a box. These 12 boxes are stacked vertically. An arrow extends to the right from each of these 12 boxes, pointing to another box. This last box lists that letters that appear if you follow a path from left to right. These 12 boxes are also stacked vertically. From top to bottom, the letters in each of these 12 boxes are as follows: c, s, b; c, s, t; c, h, b; c, h, t; c, p, b; c, p, t; o, s, b; o, s, t; o, h, b; o, h, t; o, p, b; and o, p. t.
B.
A tree diagram is shown.The letters c and o appear in boxes and are stacked vertically. From each of these two boxes, 3 line segments extend to the right with the letters s, h, and p each appearing in a box. These 6 boxes are stacked vertically. A line segment extends to the right of each of the 6 boxes connecting each one with a box with the letter t in it. The 6 boxes with the letter t are stacked vertically. An arrow extends to the right from each of these 6 boxes, pointing to another box. This last box lists that letters that appear if you follow a path from left to right. These 6 boxes are also stacked vertically. From top to bottom, the letters in each of these 6 boxes are as follows: c, s, t; c, h, t; c. p, t; o, s, t; o, h, t; and o, p, t.
C.
A tree diagram is shown.The letters c and o appear in boxes and are stacked vertically. From each of these two boxes, 2 line segments extend to the right with the letters s and h, each appearing in a box. These 4 boxes are stacked vertically. From each of these 4 boxes, 2 line segments extend to the right with the letters b and t, each appearing in a box. These 8 boxes are stacked vertically. An arrow extends to the right from each of these 8 boxes, pointing to another box. This last box lists that letters that appear if you follow a path from left to right. These 8 boxes are also stacked vertically. From top to bottom, the letters in each of these 6 boxes are as follows: c, s, b; c, s, t; c, h, b; c, h, t; o, s, b; o, s, t; o, h, b; and o, h, t.
1 / 5
0 of 5 Answered
Answer: B
Which of the following sample spaces correctly lists all the possible outcomes for flipping a coin and rolling a number cube? Let head be H and tail be T
A. H-1, H-2, H-3, H-4, H-5, H-6
B. H-1, T-1, H-2, T-2, H-3, T-3, H-4, T-4, H-5, T-5, H-6, T-6
C. H-1, H-2, H-3, T-4, T-5, T-6
Answer: B. H-1, T-1, H-2, T-2, H-3, T-3, H-4, T-4, H-5, T-5, H-6, T-6
This sample space lists all the possible outcomes for flipping a coin (H or T) and rolling a number cube (1-6). It shows all the possible combinations of these two events.
How many different lunch combinations can be made from three sandwich choices, two side item choices, and four beverage choices if you choose one sandwich, one side, and one beverage?
A. 9
B. 20
C. 24
To find the number of lunch combinations, we need to multiply the number of sandwich choices by the number of side item choices and the number of beverage choices, since each choice is independent.
Number of sandwich choices = 3
Number of side item choices = 2
Number of beverage choices = 4
Total number of lunch combinations = 3 x 2 x 4 = 24
Answer: C. 24
A bicycle manufacturer offers two styles, three sizes, and five different colors. How many different bicycles are offered?
A. 30
B. 25
C. 10
To find the total number of different bicycles offered, we need to multiply the number of options for each category.
Number of styles = 2
Number of sizes = 3
Number of colors = 5
Total number of different bicycles = 2 x 3 x 5 = 30
Answer: A. 30
A restaurant offers four different appetizers, nine different entrees, and three different desserts. How many different meals can you order of one appetizer, one entrée, and one dessert?
A. 98
B. 108
C. 120