8/10 is equivalent to 4/5. just divide both 8 and 10 by 2
Answer: 71.6°
tan-1(9/3) = 71.56505118°
Answer:
For the first picture: the answers A
For the second picture: it is also A
Step-by-step explanation:
I put each fraction into desmos for the second picture and the one that matched the image was A.
For the first image i picked A because 10 is a constant without a variable and is not a coefficient.
Answer:
m =3/4
Step-by-step explanation:
3x-4y = 12
We need to solve for y
Subtract 3x from each side
3x-3x-4y = -3x+12
-4y = -3x+12
Divide by -4
-4y/-4 = -3x/-4 + 12/-4
y = 3/4 x -3
This is in the form y = mx+b where m is the slope and b is the y intercept
The slope is 3/4
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.
