Answer:
The correct answer is - 97.74%.
Step-by-step explanation:
Given:
sample mean = 281
Std Dev = 47 ==> Sample
Std Dev (s) = std dev/sqrt(n) = 6.0677
Solution:
Find : P( x > 268 )
z = ( x - u )/s = ( 268 - 281 )/6.0677
= -1.9558
then, P( x > 270) = P( Z > -1.9558)
= P( Z <1.9558)
= 0.9747
change into percentage:
= 97.471%
Look carefully at the point where the 2 lines intersect. From that point, look straight down to the x-axis; you'll see that the x-value there is 50. Similarly,
starting at the intersection, look straight left to the y-axis; the y-value there is 11.
Thus, the coordinates of the intersection (i. e., the solution) are found in (50,11).
13 and 4 is correct. have a great day
Solution: We are given below data:
Now to find the mean deviation, we use the below formula:
Where:
represents the summation
X, represents the observation.
represents the mean
N represents the number of observation.
Therefore, the mean deviation is:
= 4
Answer:
(m³/3 + 5m/2 + 3)pi
Step-by-step explanation:
pi integral [(f(x))² - (g(x))²]
Limits 0 to 1
pi × integral [(2+mx)² - (1-mx)²]
pi × integral[4 + 4mx + m²x² - 1 + 2mx - m²x²]
pi × integral [m²x² + 5mx + 3]
pi × [m²x³/3 + 5mx²/2 + 3x]
Upper limit - lower limit
pi × [m²/3 + 5m/2 + 3]
Verification:
m = 0
[pi × 2² × 1] - [pi × 1² × 1] = 3pi
[m³/3 + 5m/2 + 3]pi
m = 0
3pi