Answer:
1/6, because there is only one way it's possible and there are 6 outcomes.
Step-by-step explanation:
Answer:
3.
Step-by-step explanation:
This is a geometric series so the sum is:
a1 * r^n - 1 / (r - 1)
= 1 * (2^101 -1) / (2-1)
= 2^101 - 1.
Find the remainder when 2^101 is divided by 7:
Note that 101 = 14*7 + 3 so
2^101 = 2^(7*14 + 3) = 2^3 * (2^14)^7 = 8 * (2^14)^7.
By Fermat's Little Theorem (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.
So 2^101 mod 7 = (8 * 4^7) mod 7
= (8 * 4) mod 7
= 32 mod 7
= 4 = the remainder when 2^101 is divided by 7.
So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..
The required x- and y- coordinates of point e, which partitions the directed line segment is (17, 11)
<h3>Midpoint of coordinates</h3>
The middle point of two coordinates is known as its midpoint. The formula for calculating the midpoint of a coordinate is expressed as:
Given the coordinate points J(-15, -5) and k(25, 15) partitioned in the ratio 1:4, the x- and y- coordinates of point e, which partitions the directed line segment is given as:
Hence the required x- and y- coordinates of point e, which partitions the directed line segment is (17, 11)
Learn more on midpoint here: brainly.com/question/5566419
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Answer:
q = 8
Step-by-step explanation:
Given the 2 equations
p + q = 36 → (1)
p - q = 20 → (2)
Add the 2 equations term by term
2p = 56 ( divide both sides by 2 )
p = 28
Substitute p = 28 into (1)
28 + q = 36 ( subtract 28 from both sides )
q = 8
