A balloon is a sphere and the volume of a sphere is V=4/3 π.R³
V= 4/3.π.(6³) = 4/3.π.216 = 288π unit³ or ≈ 905 unit³
Answer:
its 314 feet
Step-by-step explanation:
do the math
Answer:
Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .
Step-by-step explanation:
The sample proportion is p2= 7/27= 0.259
and q2= 0.74
The sample size = n= 27
The population proportion = p1= 0.4
q1= 0.6
We formulate the null and alternate hypotheses that the new program is effective
H0: p2> p1 vs Ha: p2 ≤ p1
The test statistic is
z= p2- p1/√ p1q1/n
z= 0.259-0.4/ √0.4*0.6/27
z= -0.141/0.09428
z= -1.496
The significance level ∝ is 0.05
The critical region for one tailed test is z ≤ ± 1.645
Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .
Answer: -34
Step-by-step explanation:
Answer:
Diameter of sphere = 16.06 meter (Approx.)
Step-by-step explanation:
Given:
Volume of sphere = 2,171 cubic meter
Find:
Diameter of sphere
Computation:
Volume of sphere = [4/3]πr³
2171 = [4/3]πr³
πr³ = [3/4][2171]
πr³ = [6513 / 4]
πr³ = 1628.25
(3.14)r³ = 1628.25
r³ = 1628.28 / 3.14
r³ = 518.55
r = 8.03 meter (Approx.)
Diameter of sphere = 2r
Diameter of sphere = 2(8.03)
Diameter of sphere = 16.06 meter (Approx.)