I = prt
450 = 3000 x r x 3
450 = 9000r
450/9000 = 9000r/9000
r = 0.05
Answer:
2/3
Step-by-step explanation:
h = height of the cone
Vcone = πr²h/3
H = h/2 = height of the cylinder
Vcylinder = πr²H = πr²h/2
Vcone/Vcylinder = (πr²h/3)/(πr²h/2)
= πr²h/3 x 2/πr²h
= 2/3
This question is incomplete, the complete question is;
Assume the random variable x is normally distributed with mean p = 80 and standard deviation σ = 4.
Find the indicated probability. P(67 < x < 72)
(Round to four decimal places as needed.)
Answer:
the indicated is 0.0222
Step-by-step explanation:
Given the data in the question;
mean μ = 80
standard deviation σ = 4
p ⇒ P ( x -μ / σ )
so
P(67 < x < 72) ⇒ P( 67-80 / 4 ) < P( x -μ / σ ) < P( 72-80 / 4 )
P(67 < x < 72) ⇒ P( -13 / 4 ) < P( x -μ / σ ) < P( -8 / 4 )
P(67 < x < 72) ⇒ P( -13 / 4 < z < -8 / 4 )
P(67 < x < 72) ⇒ P( -3.25 < z < -2 )
⇒ P( z < -2 ) - P( z < -3.25)
Now from z table;
⇒ 0.02275 - 0.00058
P(67 < x < 72) ⇒ 0.02217 ≈ 0.0222 { four decimal places }
Therefore, the indicated is 0.0222
Step-by-step explanation:
cos50 = x/53
0.64 = x/53
x = 0.64×53
= 33.92
