Answer:
a.
b.
c.
Step-by-step explanation:
a. The volume of water initially in the fish tank = 15 liters
The volume of brine added per minute = 5 liters per minute
The rate at which the mixture is drained = 5 liters per minute
The amount of salt in the fish tank after t minutes = x
Where the volume of water with x grams of salt = 15 liters
dx = (5·c - 5·c/3)×dt = 20/3·c =
b. The amount of salt, x after t minutes is given by the relation
c. Given that in 10 minutes, the amount of salt in the tank = 25 grams, and the volume is 15 liters, we have;
The answer is 8.4 so you would need 9 rolls of ribbon
No
if it has 1 acute angle, then the other 2 must be more than 90 each in other words, the other 2 angles must be over 180
all angles add to 180 no more
so no is answer
By Stokes' theorem,
where is the surface with as its boundary. The curl is
Parameterize by
with and . Then take the normal vector to to be
Then the line integral is equal to the surface integral,
Answer:
a
b
Ca
Cb
Explanation:
From the question we are told that
The sample size is n = 100
The upper limit of the 95% confidence interval is b = 47.2 years
The lower limit of the 95% confidence interval is a = 34.5 years
Generally the sample mean is mathematically represented as
=>
=>
Generally the margin of error is mathematically represented as
=>
=>
Considering question C a
From the question we are told the confidence level is 90% , hence the level of significance is
=>
The sample size is n = 22
Given that the sample size is not sufficient enough i.e we will make use of the student t distribution table
Generally the degree of freedom is mathematically represented as
=>
=>
Generally from the student t distribution table the critical value of at a degree of freedom of 21 is
Considering question C b
From the question we are told the confidence level is 80% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is