Given:
z = (x - μ)/σ = z value
x = independent variable = 11
μ = mean = 8
σ = standard deviation = 3
Solution:
X ~ N (8, 3)
For day 1, n = 5
P (X < = 11) = P (Z < = 11 – 8 / 3/Sqrt5) = P (Z <
=2.23) = 0.987126
For day 1, n = 6
P (X < = 11) = P (Z < = 11 – 8 / 3/sqrt6) = P (Z <
=2.45) = 0.992857
For both days:
P (X <= 11) = P (X <= 11) = (0.987126) (0.992857) =
0.9801
Mass=5.6
Find this by plugging your values into the density formula and solving for M.
Answer: 216 degrees
Step-by-step explanation:
The area of a circle = πr^2 while
The area of a sector = θ/360 × πr^2
if the area of the circle and the area of the sector are in the proportion of 5:3,
Then, area of a circle divided by the area of a sector will be equal to 5/3. That is,
πr^2 ÷ θ/360 × πr^2 = 5/3
πr^2 ÷ θπr^2/360 = 5/3
πr^2 × 360/ θπr^2 = 5/3
πr^2 will cancel out. Leading to
360/θ = 5/3
Cross multiply and make θ the subject of formula
5θ = 3 × 360
θ = 1080/5
θ = 216 degrees
Therefore, the central angle of a sector of a circle is 216 degrees
Answer:
These are the correct positions