Answer:
P'(4, 9)
Step-by-step explanation:
Add the translation vector to the point:
P' = P +(6, 5) = (-2, 4) +(6, 5) = (-2+6, 4+5)
P' = (4, 9)
Answer:
GL = square root of 2 = √2
Step-by-step explanation:
Given: GHJK is a square and its diagonals intersect at L
GJ and HK are its two diagonals.
We know that in a square diagonals bisect each other and if length of side is a, then length of its diagonal = √2 a.
Therefore, GJ=HK = √2×2
Since, diagonal intersect at L , L is mid point of GJ and HK
Therefore, GL = √2×2/2 = √2
Hence, GL = square root of 2
Answer:
75% of the households have between 2 and 6 televisions
Step-by-step explanation:
From the question, we can deduce the following;
sample size n= 8
sample mean μ = 4
standard deviation σ = 1
Using Chebychev’s theorem;
P(2 ≤ X ≤ 6) = P(2-4 ≤ (X - μ) ≤ 6-4)
= P(-2 ≤ (X-μ) ≤ 2) = P(|X-μ| ≤ kσ) ≥ (1 - 1/k^2) ≥ (1- 1/2^) = 1- 0.25 = 0.75 ( same as 75%)
Answer:
No, Arjun would need 2546 boxes
Step-by-step explanation:
Since he needs to pack 15,276 pastries into boxes of 6, this equation can be used to determine the amount of boxes needed. Hope this helps!
Answer:
115 degree
Step-by-step explanation:
x + 65 = 180 (Sum of angles in a straight line = 180 [Also known as Linear pair])
x = 180 - 65
x = 115 degree
