Most of the square numbers are even.so if we need to find root over we need an even number to convert it to perfect square.
See the example below
Some other triplets are
- (6,8,10)
- (5,12,13)
- (8,15,17)
Hello,
So we can first assign HD videos and classic videos to specific variables, x is HD videos and y is classic videos.
Fiona bought 5 HD videos, and 2 classic videos for 31 dollars.
5x + 2y = 31
Iliana bought 3 HD videos and 5 classic videos for 30 dollars.
3x + 5y = 30
Therefore, the final answer is choice D, 5x + 2y = 31 and 3x + 5y = 30.
Answer:
71
Step-by-step explanation:
[6x4(15/5)]+[2^2+(1x-5)]
BIDMAS (aka PEDMAS etc.)
Brackets
Indices
Division/Multiplication
Addition/Subtraction
[6 x 4(15/5)] + [2^2 + (1x-5)]
[6 x 4(3)] + [2^2 + (-5)]
[6 x 4(3)] + [4 + -5]
[6 x 12] + [4 + -5]
[72] + [4 + -5]
72 + [-1]
72 + - 1
72 - 1
71
<span>–4(6x + 3) = –12(x + 10)
-24x - 12 = -12x - 120
24x - 12x = 120 - 12
12x = 108
x = 9
</span>
Answer:
Step-by-step explanation:
<u>a)</u>
- Given that ; X ~ N ( µ = 65 , σ = 4 )
From application of normal distribution ;
- Z = ( X - µ ) / σ, Z = ( 64 - 65 ) / 4, Z = -0.25
- Z = ( 66 - 65 ) / 4, Z = 0.25
Hence, P ( -0.25 < Z < 0.25 ) = P ( 64 < X < 66 ) = P ( Z < 0.25 ) - P ( Z < -0.25 ) P ( 64 < X < 66 ) = 0.5987 - 0.4013
- P ( 64 < X < 66 ) = 0.1974
b) X ~ N ( µ = 65 , σ = 4 )
From normal distribution application ;
- Z = ( X - µ ) / ( σ / √(n)), plugging in the values,
- Z = ( 64 - 65 ) / ( 4 / √(12)) = Z = -0.866
- Z = ( 66 - 65 ) / ( 4 / √(12)) = Z = 0.866
P ( -0.87 < Z < 0.87 )
- P ( 64 < X < 66 ) = P ( Z < 0.87 ) - P ( Z < -0.87 )
- P ( 64 < X < 66 ) = 0.8068 - 0.1932
- P ( 64 < X < 66 ) = 0.6135
c) From the values gotten for (a) and (b), it is indicative that the probability in part (b) is much higher because the standard deviation is smaller for the x distribution.
