Answer:
C
Step-by-step explanation:
First, factor the original expression:
As we can see, D is the same as above. Eliminate D.
Go through each of the answer choices.
A:
This is equivalent to what we factored. Eliminate A.
B:
This is again equivalent to what we factored. Eliminate B.
C:
This cannot be simplified and it is not equivalent to what we have previously. C is not the equivalent expression.
Answer:
Step-by-step explanation:
Given
Required
The explicit formula
First, calculate
Set n=2; So:
Substitute -25 for
Calculate the common difference (d)
So, the nth term is:
Open bracket
Collect like terms
Answer:
(b)0.56
(c)0.38
Step-by-step explanation:
(a)
P(Ben Pass) =0.8
Therefore: P(Ben fails)=1-0.8 =0.2
P(Tom Pass) =0.7
Therefore: P(Tom fails)=1-0.7 =0.3
See attached for the completed tree diagram
(b)Probability that both will pass
P(both will pass)=P(Ben pass and Tom pass)
=P(Ben pass) X P(Tom pass)
=0.8 X 0.7
=0.56
(c)The probability that only one of them will pass
Since either Tom or Ben can pass, we have:
P(only one of them will pass)
=P(Ben pass and Tom fails OR Ben Fails and Tom Pass)
=P(Ben pass and Tom fails)+P(Ben Fails and Tom Pass)
=(0.8 X 0.3) + (0.2 X 0.7)
=0.24 + 0.14
=0.38
Answer:
Perimeter of the figure = 198.54 feet
Step-by-step explanation:
Given figure comprises a rectangle and two semicircles.
Perimeters of two semicircle = 2πr
Here 'r' = Radius of the circle
Perimeter of two semicircles at the sides of the rectangle =
= 25π feet
= 78.54 feet
Length of side AB = Length of side CD = 60 feet
Perimeter of the given figure = 2(60) + 78.54
= 198.54 feet
