Answer:
PQ = 3.2
Step-by-step explanation:
PQ = PR - QR
PQ = 4.8 - 1.6
PQ = 3.2
Answer:

Step-by-step explanation:
The average speed of the Erin is 120/16 mph
Here,
Numerator = 120
Denominator = 16
mph = miles per hour
We need to find an expression expressed as a decimal.
So,

So, the final answer is
.
Answer:
point slope form: y - 1 = 4 (x -2)
slope intercept form: y = 4x -7
Step-by-step explanation:
If you want it in point slope form it would be: y - 1 = 4 (x -2)
but if you want it in slope intercept form, you solve this equation
y -1 = 4 (x-2)
y-1 = 4x -8
+1 +1
y = 4x -7 in slope intercept form
I don't know if this will help but the 2 on the right are not parallelograms there
"3d"
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.