Answer:
b.0.02
Step-by-step explanation:
As he defined the significance level in α=0.05, and this is a one-side test (as the claim is that the percentage is <em>higher, </em>not lower), any P-value below the significance level shows a significant effect and gives evidence to reject the null hypothesis.
The P-value represents the probability of having this sample statistic, given that the statement of the null hypothesis is true. Then, the lower the P-value, more evident is that the null hypothesis is not correct. This threshold value to reject (or not) the null hypothesis is the significance level.
a) As the significance level is 0.05, a P-value=0.07 would not be low enough to reject the null hypothesis.
c) The magnitude of a P-value has impact on whether he rejects or fails to reject the null hypothesis, as is the value that is compared to the significance level to reject or not the null hypothesis.
Answer:
Step-by-step explanation:
8x - 19 = 6x +11
2x - 19 = 11
2x = 30
x = 15
Answer:
x(15) = 21 lb
Step-by-step explanation:
Rate of change in volume of salt water solution = rate of volume incoming - rate of volume outgoing
dV/dt = 4 - 2 =2gal/min
So, the equation for volume at cetain time t at given conditions and values becomes,
V(t) = 2t + V
V(t) = 2t + 20 gal-------------------euqation (1)
Rate of change in amount of salt = rate of salt in - rate of salt out
dx/dt = {0.5*4} - {[x(t)/V(t)]*2}
dx/dt = 2-2[(x(t))/(2t+20)]
dx/dt = 2-[(x(t))/(v(t))] lb/min
Now, with integrating factor, we get
exp[∫(1/(1+10))dt)] = t+10
the equation becomes
(t + 10)*x' + x = 2*(t+10)
((t+10)*x') = 2*(t+10)
(t+10)*x = t² + 20t + C
As x(0) = 0,
x(t) = (t²+20t)/(t+10)
x(15) = (15²+20*15)/(15+10)
x(15) = 21 lb
Ana stated with $150 in the bank.
She adds $25.75 to the account each week.
The expression 150+4x-25.75 represents the total amount in the bank after 4 weeks.
If any questions just ask ! :) :)
Answer:
£546
Step-by-step explanation:
7200-9%=6552
1%=72
72*9=648
7200-648=6552
12 months=6552/12
6552/12=546
