0.760 I just did this question and this was the answer lol.
Answer:
Height is increasing at the rate of 14cm/s.
Step-by-step explanation:
Volume of cylinder = π
dR/dT = -2cms (-ve sign indicated decreasing rate)
we need to find
dH/dT = ?
as the volume remain constant, that means the cylinder is decreasing in area but its increasing in height.
dV/dT=0 (volume remain constant)
dV/dT= 2πR*dR/dT *H + π
*dH/dT = 0
2π*10*(-2)*35 + π*10*10 * dH/dT = 0
-1400π + 100πdH/dT = 0
dH/dT= 1400π/100π
dH/dT = 14 Cm/s
This means the height is increasing at the rate of 14cm/s.
Answer:
Probably of getting both = 3/10 *100 = 30%
Step-by-step explanation:
According to the given statement we have four possible combinations:
Blue pants/white shirt, tan pants/white shirt, blue pants/blue shirt, blue pants/white shirt
.probability of getting tan pants = 2/4
probability of getting white shirt = 3/5
probably of getting both = 2/4 x 3/5 = 6/20 = 3/10
probably of getting both = 3/10 *100 = 30% ...
Answer:
5 ; 2.07 ; 1.85
Step-by-step explanation:
Given the data:
2, 3, 5, 6, 7
The range : ( highest - lowest)
The range = (7 - 2) = 5
Sample standard deviation :
sqrt[Σ(x - m)²/ (n - 1)]
The mean (m) = Σx / n
n = sample size = 5
Σx / n ;
(2+3+5+6+7) / 5
= 23 / 5
= 4.6
[(2-4.6)^2 + (3-4.6)^2 +(5-4.6)^2 + (6-4.6)^2+ (7-4.6)^2] / (5 - 1)
= 17.2 / 4
= 4.3
Sqrt(4.3) = 2.07
Population standard deviation :
sqrt[Σ(x - m)²/ n]
The mean = m = 4.6
n = sample size = 5
[(2-4.6)^2 + (3-4.6)^2 +(5-4.6)^2 + (6-4.6)^2+ (7-4.6)^2] / 5
= sqrt(17.2 / 5)
= sqrt(3.44)
= 1.8547 = 1.85
