7) Rectangular pyramid:
Length = 8m ; width = 4.6m ; Volume = 88m³
Volume of a rectangular pyramid = (Length * Width * Height)/3
88m³ = (8m * 4.6m * height)/3
88m³ * 3 = 36.8m² * height
264m³ = 36.8m² * height
264m³ / 36.8m² = height
7.2 m = height
8) Cone:
r = 5 in ; volume = 487 in³
Volume of a cone = π r² h/3
487 in³ = 3.14 * (5in)² * h/3
487 in³ * 3 = 3.14 * 25in² * h
1,461 in³ = 78.5 in² * h
1,461 in³ / 78.5 in² = height
18.6 in = height
Answer:
a. 24
b. 2
c. 0.0833 = 8.33%
Step-by-step explanation:
a.
The first "slot" of person to arrive has 4 possibilities, then the second "slot" will have 3 possibilities, as one has already arrived, then the third "slot" has 2 possibilities, and the fourth "slot" has just 1 possibility.
So, multiplying all these combinations, we have 4*3*2*1 = 24 possible ways they can arrive
b.
If the first and the last person are already "locked", we just have possibilities for the second and third person. The second will have 2 possibilities (Sergio or Tyrone), and the third will have only 1 (the person that wasn't the second between Sergio and Tyrone). So, the number of possibilities is 2*1 = 2
c.
If we have 2 cases where Dawn is first and Jim is last, from a total of 24 possible cases, the probability is 2/24 = 1/12 = 0.0833 = 8.33%
Please keep in mind that the answers may not be correct. I have tried my best to answer.
1. 83.333...% would fit. We must first solve for x. As you can see, we have a similarity in the picture. 16 and 4. It's 4. So, we multiply that by 6 which equal 24=x. Now, we know that space (Not provided) is 4. So, we just divide 20 by 4. It will equal 5, add the space not provided and becomes 6. All you gotta do is now divide 100/6. 16.666... Multiply by 5 since that is how much it is providing. Then, your answer will be 83.333...%
2. 88.888...% would fit. Like the above, we must solve for x. As you can tell, the situation is similar to the original. Divide 18 by 4, 4.5. Multiply 6 by 4.5, 27. Subtract 27 by 24, 3. Now we know that the space (not provided) is 3. Divide 24" by 3, 8. Add 1 due to the non provided space. 9. Divide 9 by 100, 11.111... Multiply by 8 and get the answer. 88.888...%
Answer:
The average is the same as the Mean
Step-by-step explanation:
