According to a national survey, 45% of Americans make New Year resolutions. The editor of the high school newspaper wants to know if the proportion of students at their school that make New Year resolutions is different 45%. The editor will carry out a test at the a = 0.10 significance level of
Hp =0.45
Hp =\ 0.45
where p = the true proportion of all students at the school that make New Year resolutions. The editor selected a random sample of 50 students and 28 said they
make New Year resolutions. Which of the following is the P-value for this hypothesis test?
A.0.0590
B.0.1179
C.0.8821
D.0.9410

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3