Answer:
<h2>7</h2>
Step-by-step explanation:
<span>A
full lake is dropping at its constant rate, meaning it is unchanging over time.
After 4 weeks’ time, it already dropped 3 feet.
Now, let’s solve for the Unit rate based on the given data.
=> 3 feet in 4 weeks
=> Unit rate is 3 feet per 4 weeks
=> in 4 weeks there are (7 * 4) = 28 days
=> 3 feet / 28 days
=> the Unit rate is .107 feet / day</span>
10 quarts = 2.5 gallons.
There are 4 quarts for every 1 gallon, but because you're finding gallons and not quarts, you do 10 ÷ 4 = 2.5.
9514 1404 393
Answer:
(dN)/(dt) = (0.4)/(1200)N(1200-N) -50
142 fish
Step-by-step explanation:
A) The differential equation is modified by adding a -50 fish per year constant term:
(dN)/(dt) = (0.4)/(1200)N(1200-N) -50
__
B) The steady-state value of the fish population will be when N reaches the value that makes dN/dt = 0.
(0.4/1200)(N)(1200-N) -50 = 0
N(N-1200) = -(50)(1200)/0.4) . . . . rewrite so N^2 has a positive coefficient
N^2 -1200N + 600^2 = -150,000 +600^2 . . . . complete the square
(N -600)^2 = 210,000 . . . . . simplify
N = 600 + √210,000 ≈ 1058
This steady-state number of fish is ...
1200 - 1058 = 142 . . . . below the original carrying capacity
Answer:
1) p-hat = 0.6203
2) std error = 0.0177
3) margin of error = 0.0291
4) (0.5912, 0.6494)
5) minimum sample size = 1683
Step-by-step explanation:
1. The point estimate for the proportion of American adults that think licensed drivers should be required to retake their road test once they reach 65 years of age can be calculating dividing the number of people who answer Yes by the total of people interviewed:
2. The standard error of a proportion can be expressed as:
3. The z-value for a 90% CI is z=1.64485.
The margin of error can be expressed as:
4. The lower and upper limits can be calculated as:
5. To have a margin of error of no more than 3.2% of the sample proportion, we have to first calculate what margin of error gives 3.2% of the proportion.
This margin of error can be related to the sample size as:
