A proportional relationship between the number of pounds of potatoes x and the price in dollars y is graphed and the ordered pai
2 answers:
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Answer:
0.0048cm/s
Step-by-step explanation:
Volume of the spherical balloon is expressed as;
dV/dt = dV/dr * dr/dt
Given
dV/dt = 5cm³/s
dV/dr = 4πr²
Since V = 972picm³
972π = 4/3πr³
972 = 4/3r³
4r³ = 972 * 3
r³ = (972 *3)/4
r³ = 729
r = ∛729
r = 9cm
dV/dr = 4π(9)²
dV/dr = 324π
dV/dt = dV/dr * dr/dt
5 = 324πdr/dt
dr/dt = 5/324π
dr/dt = 5/324(3.14)
dr/dt = 5/1017.36
dr/dt = 0.0048cm/s
Answer:
c) H0 : p = 5.8%
H1 : p > 5.8%
Step-by-step explanation:
At the null hypothesis, we test that the percentage is equal to a certain value. At the alternate hypothesis, we have a test about this percentage, if it is more, less, or different from the tested value.
A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness
At the null hypothesis, we test if the percentage is 5.8%
At the alternate hypothesis, we test if this percentage is more than 5.8%. So
This means that the correct answer is given by option c.