Answer:
The 99% confidence interval of the population mean for the weights of adult elephants is between 12,475 pounds and 12,637 pounds.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 3.25
The margin of error is:
M = T*s = 3.25*25 = 81
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 12,556 - 81 = 12,475 pounds
The upper end of the interval is the sample mean added to M. So it is 12,556 + 81 = 12,637 pounds.
The 99% confidence interval of the population mean for the weights of adult elephants is between 12,475 pounds and 12,637 pounds.
Answer:
Optimal combination of goods can be determined in an economy that produces only two goods, with production of extra units of the two goods at a minimal marginal social cost. The consumption of the additional units of the two goods being produced will be benefitted by the consumers. This is known as marginal social benefit.
Step-by-step explanation:
Marginal social cost is the change in society's total cost brought about by the production of an additional unit of a good or service. It includes both marginal private cost and marginal external cost.
Marginal social benefit is the change in benefits associated with the consumption of an additional unit of a good or service. It is measured by the amount people are willing to pay for the additional unit of a good or service.
Answer:
h=3
Solving forh
h=3V
lw=3·600
10·60=3
Step-by-step explanation:
Answer:
Step-by-step explanation:
the Pythagorean theorem is
c is the hypotenuse which is the side opposite of the right angle
plug the numbers into the Pythagorean theorem
when squaring a square root, just take the number in the radical and get rid of the radical
subtract 26 from both sides
find the square root of 143
143 is prime so it can just be written as
Using right triangle relations, we will get:
- tan(B) = 1.05
- sin(B) = 0.735
- cos(B) = 0.7
<h3>
How to find the value of the trigonometric equations?</h3>
We assume that bot triangles are equivalent, then the angle B will be the same as the angle Z.
Now remember the relations:
- tan(θ) = (opposite cathetus)/(adjacent cathetus).
- sin(θ) = (opposite cathetus)/(hypotenuse)
- cos(θ) = (adjacent cathetus)/(hypotenuse).
If we step on angle B, we have:
- opposite cathetus = 29.4
- adjacent cathetus = 28
- hypotenuse = 40.6
Replacing that, we get:
- tan(B) = 29.4/28 = 1.05
- sin(B) = 29.4/40.6 = 0.735
- cos(B) = 28/40.6 = 0.7
If you want to learn more about trigonometric functions:
brainly.com/question/8120556
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