Answer:
0.0083 = 0.83% probability that the boys will stand in alphabetical order from left to right in the picture
Step-by-step explanation:
Probability:
A probability is given by the number of desired outcomes divided by the number of total outcomes.
Arrangments of x elements:
The total number of arrangments of x elements is given by:
Desired outcomes:
Standing in alphabetical order, so only 1 possible outcome, which means that 
Total outcomes:
Arrangments of 5 people, so
Probability:
0.0083 = 0.83% probability that the boys will stand in alphabetical order from left to right in the picture
1.375 I believe, but I am not exactly sure.
Answer:
384 ft²
Step-by-step explanation:
Alrighty! The volume of a cube is V = a³. The equation for the surface area of a cube is 6a². The key number here will come with finding what a is. Here, we are already given the volume: 512 ft³. By working backwards a little we can solve for the variable a using the volume.
Volume = a³
512 = a³
Here we need to isolate the variable a in order to solve for it. In order to do this we must figure out a way to move the cube³ over. We can do this by cube rooting 512!
512 = a³
∛512 = a
The cubed root of 512 = 8 thus:
8 = a
Now we that we have solved for the variable a, we can plug this into our equation for the surface area of a cube.
SA = 6a²
a = 8
SA = 6(8)²
Solving exponents comes first naturally. 8² = 64
SA = 6(64)
SA = 384
Ta-da! Your surface area is 384 ft².
Answer:
64°
Step-by-step explanation:
∠RQP = 46°
∠PRQ = 180° - 110° = 70°
∠PRQ + ∠RQP + <u>∠RPQ</u> = 180°
70° + 46 + <u>∠RPQ</u> = 180°
116° + <u>∠RPQ</u> = 180°
Find <u>∠RPQ</u>
<u>∠RPQ</u> = 180° - 116° = 64°
