1. 81 1/2 = 163/2
2. 32 1/5 - 64 1/3 =
483/15 - 965/15 =
-482/15 or -32 2/15
3. 16 1/4 = 65/4
4. 49 1/2 + 27 1/3 =
99/2 + 82/3 =
297/6 + 164/6 =
461/6 or 76 5/6
Answer:
9) 496 cubic unit
10)10.94
Step-by-step explanation:
in question 9, req volume will be (volume of cube of lenght 10 - that of hole)
hole can be divided into 5 parts,in which 4 have same dimension 6×6×2,and middle part is cube of dimension 6×6×6, total volume will be 4(6×6×2)+6×6×6
=504 cubic.unit
volume of larger cube is 10×10×10=1000 cubic unit
req answer is 1000-504 cubic unit
=496 cubic unit.
10) the ant should walk diagonally to cover minimum distance to reach from A to B, the shortest distance will be when the ant cover the height of lenght 2,then diagonally btwn 4×8, i.e, by using Pythagorean theorem √(16+64)=8.94
now total will be 8.94+2=10.94, it's the shortest possible distance so far!
I'll update each part after solving... wait!
A pair of angles with a common vertex and sides that are opposite rays
The value of p(a) is 0.5
Mutually exclusive events are those events that do not occur at the same time
Given,
The a and b are mutually exclusive events
P(a AND b)=0
P(a)=0.48
p(a or b)=0.98
We know that,
P(a or b)=P(a)+P(b)-P(a AND b)
P(a or b)=P(a)+P(b)-0
P(a or b)=P(a)+P(b)
P(a)=P(a or b)-P(b)
Substitute the given values
P(a)= 0.98-0.48
P(a)=0.5
Hence, the value of P(a) is 0.5
Learn more about Mutually exclusive events here
brainly.com/question/5492865
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