The volume of a spherical hot air balloon v(r) = 4/3 πr^3 changes as its radius changes. the radius is a function of time given
by r(t) = 3t. find the average rate of change of the volume with respect to t as t changes from t = 1 to t = 2.
1 answer:
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Answer:
The length of minor arc AB is π ft
Step-by-step explanation:
The formula of the length of an arc in a circle is L = × 2πr, where α is the central angle subtended by the arc, and r is the radius of the circle
∵ The radius of the circle is 4 ft
∴ r = 4
∵ ∠AOB is a central angle subtended by minor arc AB
∵ m∠AOB = 50°
∴ α = 50°
Substitute the values of r and α in the rule above
∵ L = × 2π(4)
∴ L = π
∴ The length of minor arc AB is π ft
Answer:
2,655 students
Step-by-step explanation:
The z-score for a 99% confidence interval is z = 2.576
The standard error for a proportion p is:
For a proportion of p =0.20, in order to ensure a standard error of 0.02, the sample size 'n' must be:
Rounding up to the next whole student, the sample size needed is 2,655 students.