Answer:
Step-by-step explanation:
AB = a
AP = 2PQ = 2QB
AB = AP + PQ + QB
= AP + 
+
AB = 2AP
AP = 
-----(1)
And we know QB =
QB= AP/2 = 
---------(2)
Now midpoint of AP = × 
=
and midpoint of QB = × =
distance between these midpoints = -
=
Answer: The answer is x >7
Step-by-step explanation:
56⋅x>616−224
56⋅x>616-224
Simplify :
56⋅x>392
56⋅x>392
Dividing by the variable coefficient :
x>
392
56
x>39256
Simplify :
x>7
x>7
Inequality
56⋅x+224>616
56⋅x+224>616
is true for
x>7
x>7
Answer:
where 
denote arc lengths of two circles
Step-by-step explanation:
Let denote arc lengths of two circles, 
denote corresponding radii and
denote the corresponding central angles.
So,
and 
This implies 
and 
As each circle has an arc where the measures of the corresponding central angles are the same, 
As radius of one circle is twice the radius of the other circle,
Answer:
B and D
Step-by-step explanation:
A is false as it would be 3.08 when rounded.
C is false as it is rounded to the tenth not hundredth.
Answer:
A) The relative frequencies in the table are reasonably close; C) The relative frequency of rolling an even number is 0.51.
Step-by-step explanation:
The relative frequencies given are at most 0.02 apart. This means they are reasonably close.
The theoretical probability for each outcome would be 1/4, or 0.25; this means the theoretical probability of rolling an even number would be 0.50, not 0.51.
However, the relative frequency of rolling an even number would be 0.24+0.27 = 0.51.
Since the relative frequencies are reasonably close, the number cube is likely to be fair.
