A hat contains four balls. The balls are numbered 2, 4, 4, and 7. One ball is randomly selected and
1 answer:
Answer:
- If the sum is 6, a small cone will be ordered.
- If the sum is 8 or 9, a medium cone will be ordered.
- If the sum is 11, a large cone will be ordered.
Step-by-step explanation:
The table below shows the possible outcomes from drawing two balls. We see the relative frequencies to be ...
6: 4
8: 2
9: 2
11: 4
To make a fair decision, we want the relative frequencies of the decision possibilities to be the same. If we combine sums 8 and 9 to one category (medium cone, for example), then 6, (8 or 9), and 11 will all have the same relative frequency: 4.
The appropriate "fair decision" choice is ...
6: small cone
8 or 9: medium cone
11: large cone
You might be interested in
The volume of the prop is calculated to be 2,712.96 cubic inches.
<u>Step-by-step explanation:</u>
Step 1:
The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.
Step 2:
The volume of a cone is determined by multiplying with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 9 inches and the height is 14 inches.
The volume of the cone : =
= 1,186.92 cubic inches.
Step 3:
The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying with π and the cube of the radius (r³).
Here the radius is 9 inches. We take π as 3.14.
The volume of a full sphere = =
= 3,052.08 cubic inches.
The volume of the half-sphere = = 1,526.04 cubic inches.
Step 4:
The total volume = The volume of the cone + The volume of the half sphere,
The total volume = 1,186.92 + 1,526.04 = 2,712.96 cubic inches.