Agolfer’s arm rotates 1/2 of a revolution in 1/10 of a second. if the angular displacement is measured in radians, which statements are true? check all that apply.

the angular velocity is 10π rad/sec.
the angular velocity is 10π rad/min.
the angular velocity is 60π rad/min.
the angular velocity is 600π rad/sec.
the angular velocity is 600π rad/min.

The angular velocity is 10π rad/s or 600 rad/min.

Step-by-step explanation:

angular velocity = angle/time

0.5 revolution = 0.5 × 2π = π rad

ω = θ/t = π rad/0.1 s = 10π rad/s

Convert time to minutes

ω = 10π rad/1 s × (60 s/1 min) = 600π rad/min

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;