Answer:
The 95% confidence interval for the true proportion of all medical students who plan to work in a rural community is (0.0525, 0.1075).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the true proportion of all medical students who plan to work in a rural community is (0.0525, 0.1075).
Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
When y =0, x =-12, -2, 8
Hope this helps!
Dz/dx = 5x^4*y + y^5 + y
<span>dz/dy = x^5 + 5x*y^4 + x </span>
Answer:
a. <em>about 187 feet</em>
b. <em>about 19 trees</em>
c. <em>about 228 dollars</em>
What we know:
- 80 ft = hypotenuse
- 35 ft = short side
- x ft = long side
- it is a <em>right</em> triangle
a. Find the perimeter of the field. <em>about 187 feet</em>
<u>solve for the missing side length ('x')</u>:
- 35^2 + x^2 = 80^2
- 1225 + x^2 = 6400
- x^2 = 5175
- x = 15sqrt(23) or approx. 71.92
<u>add all side lengths</u>:
- P = 80 + 35 + 71.92
- P = 115 + 72 (rounded)
- P = 187 ft
b. You are going to plant dogwood seedlings about every ten feet around the field's edge. How many trees do you need? <em>about 19 trees</em>
- divide perimeter by 10 187/10 = 18.7
- round 18.7 trees = about 19 trees
c. If each dogwood seedling sells for $12, how much will the trees cost? <em>about $228</em>
- multiply trees by cost of each $12 x 19 trees = $228
- about $228 for the trees
