Between 0 degrees Celsius and 30 degrees Celsius, the volume V (in cubic centimeters) of 1 kg of water at a temperature T is giv
en approximately by the formulaV=999.87−0.06426T+0.0085043T2−0.0000679T3Find the temperature at which water has its maximum density.Temperature = _______________degrees Celsius
1 answer:
Answer:
4 degrees Celsius
Step-by-step explanation:
Density = Mass / Volume
Density is Maximum when Volume is Minimum provided that the mass is constant.
As we are given a constant mass of 1 kg, we can use the given formula to tabulate the values of Volume at the values of temperature ranging from 0 to 30 degrees Celsius.
We will then select the value of temperature that provides us with the lowest Volume.
The tabulated results are attached and it can be seen that the minimum Volume (highlighted) is at 4 degrees Celsius.
Hence, we will have the maximum density at 4 degrees Celsius.
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Answer:
The sample size n = 4225
Step-by-step explanation:
We will use maximum error formula =
but we will find sample size "n"
Squaring on both sides , we get
Given 99% confidence interval (z value) = 2.56
given maximum error = 0.02
n≤ ( here S.D = p(1-p) ≤ 1/2
on simplification , we get n = 4225
<u>Conclusion</u>:
The sample size of two samples is n = 4225
<u>verification</u>:-
We will use maximum error formula = =
= 0.0196
substitute all values and simplify we get maximum error is 0.02