Answer:
-1/4 meter per minute
Step-by-step explanation:
Since, the volume of a cube,

Where, r is the edge of the cube,
Differentiating with respect to t ( time )

Given, 
Also, V = 8 ⇒ r = ∛8 = 2,
By substituting the values,



Hence, the rate of change of an edge is -1/4 meter per minute.
Answer:
Step-by-step explanation:
mean diameter = 206
variance = 6.25
standard deviation = √ variance
σ = √ 6.25 = 2.5
sample size n = 90
z = deviation from mean / (σ / √n)
= 0.3 / (2.5/ √90)
= .3 / .2635
= 1.1385
P value from the table = (.87 - .5 ) x 2
= .37 x 2 .
or 74 % .
The answer would be the greater than sign such as >... the whole equation would be 9*4-2x>2(9-x)
Answer:
- <u>Option</u><u> </u><u><em>A</em></u><em>. If percentages are used, the sum should be a 100%. If proportions are used, the sum should be 1.</em>
Explanation:
The <em>relative frequency</em> can be measured as a ratio (proportion) or as a percentage.
As a ratio, the relative frequency is the number of times that the desired outcome is observed (either theoretically or experimentally) divided by the total number of possible outcomes (theoretically) or observed (experimentally).
As a<em> percentage</em>, the relative frequency is the ratio multiplied by 100.
This shows it mathematically:
- relative frequency of event 1 = frequency of event 1 / number of events
- relative frequency of event 2 = frequency of event 2/number of events
- relative frequency of event n = freqquency of event n/number of events
- Total relative frequency = sum of of relative frequencies
= sum of all (n) frequencies / number of events =
= number of events / number of events = 1
As a percentage, total relative frequency = 1 × 100 = 100
The diversity would be 120 meters