If
is the amount of salt in the tank at time
, then the rate at which this amount changes over time is given by the ODE
We're told that the tank initially starts with no salt in the water, so
.
Multiply both sides by an integrating factor,
:
Since
, we have
so that the amount of salt in the tank over time is given by
After 10 minutes, the amount of salt in the tank is
Answer:
35 hours
Step-by-step explanation:
1 mile would be 7 hours- 7x5=35
Answer:
Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%
Step-by-step explanation:
<u><em>Testing hypothesis about a population proportion when sample size is large.</em></u>
If the sample size is large then the variable
z= p^-p / sqrt [pq/n]
is approximately standard normal.
Formulate the hypotheses as
H0 : p < 30% against the claim Ha: p ≥ 30%
Choose the significance level ∝= 0.05
the critical region is z ≥ 1.645 because the alternative hypothesis is stated on a greater than or equal to basis.
Computing
Z= 748-(2778*0.3)/ √2778*30/100*70/100
z= 748-833.4/√583.38
z= -85.4/24.153
z=-3.5357
Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%
The p- value is 0.0002
The slope is 3/2
Steps:
4 - (-2) = 6
5 - (-4) = 9
Put into a fraction, with the y sum on top.
Reduce
Answer:
1. B-the income in year five was twice the income in year 1
2.H-90 dollars
3.H- 7.5 hours
4.H-The number of premium memberships sold during week 3 was 2 times the number of premium memberships sold during week 2
5.F-56
Step-by-step explanation:
