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:
Option D) There is sufficient evidence that the true population proportion is not equal to 70%.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 1165
p = 70% = 0.7
Alpha, α = 0.02
Number of people who agreed , x = 746
First, we design the null and the alternate hypothesis
This is a two-tailed test.
Formula:
Putting the values, we get,
Now, 
Since,
Since, the calculated z statistic does not lie in the acceptance region, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
Thus, there is enough evidence to support the claim that the true proportion differs from 70%.
Option D) There is sufficient evidence that the true population proportion is not equal to 70%.
The equation would be 28= 2r
<h3>Answer: Choice C</h3>
Here's how the verification would look like
using the identity here
