Answer:
10
Step-by-step explanation:
1/3 of an hour is 20, and 1/3 of 30 questions is 10, so 10 questions completed per 20 minutes.
Answer:
p= 0.9995 and we can conclude that students receiving aid is more than 50% according to the sample results in 2% significance level.
Step-by-step explanation:
: less than or equal 50% of students at his college receive financial aid
: more than 50% of students receive financial aid.
According to the nul hypothesis we assume a normal distribution with proportion 50%.
z-score of sample proportion can be calculated using the formula:
z=
where
- X is the sample proportion (0.65)
- M is the null hypothesis proportion (0.5)
- s is the standard deviation of the sample (
) - N is the sample size (120)
then z=
≈ 3,29
thus p= 0.9995 and since p<0.02 (2%), we reject the null hypothesis.
position = s(t) = (t)In(5t)
velocity = ds/dt = t d/dt (ln (5t)) +d/dt (t) ln (5t)
= t * 5 1/5t + ln (5t)
= 1 + ln (5t)
acceleration = dv/dt = d^2s/dt^2 = d/dt (1 + ln(5t))
=d/dt (1) + d/dt (ln 5t)
= 0 + 1/5t * 5
= 1/t
0 = 1 + ln (5t)
-1 = ln (5t)
e^-1 = 5t
1/e = 5t
1/(5e) =t
acceleration = 1/t = 1/(1/5e) = 5e
Answer: 5e
Answer is B
area for a trapezoid is [( Base 1 + Base 2 ) * height] /2
which in this case would be [( 7 + 10 ) * 7]/2
(17)7/2
59.5