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melomori [17]
3 years ago
13

A farmer who has fixed amounts of land and capital finds that total product is 24 for the first worker hired, 32 when two worker

s are hired, 37 when three are hired, and 40 when four are hired. The farmer's product sells for $3 per unit, and the wage rate is $13 per worker. The marginal product of the second worker is
A. 8.
B. 1.
C. 24.
D. 5
Mathematics
1 answer:
ruslelena [56]3 years ago
6 0

Answer:

A. 8.

Step-by-step explanation:

The marginal product is the increase in output (units produced) resulting from employing one more worker. Therefore, the marginal product of the second worker (M2) is given by the difference between the total product with two workers and the total product with one worker.

M_2 =32-24\\M_2 =8

The answer is A. 8.

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The adjustment of the thickness of the lens to make close vision possible is ca​
Savatey [412]

Answer: Accommodation

Step-by-step explanation:

Accommodation is the adjustment of the optics of the eye to keep an object in focus on the retina as its distance from the eye varies.

4 0
3 years ago
Evelyn wants to estimate the percentage of people who own a tablet computer she surveys 150 indvidals and finds that 120 own a t
igomit [66]

Answer:

The 99% confidence interval for the percentage of people who own a tablet computer is between 71.59% and 88.41%

Step-by-step explanation:

Confidence interval for the proportion of people who own a tablet:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 150, \pi = \frac{120}{150} = 0.8

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.576.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 2.575\sqrt{\frac{0.8*0.2}{150}} = 0.7159

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 2.575\sqrt{\frac{0.8*0.2}{150}} = 0.8841

Percentage:

Multiply the proportion by 100.

0.7159*100 = 71.59%

0.8841*100 = 88.41%

The 99% confidence interval for the percentage of people who own a tablet computer is between 71.59% and 88.41%

8 0
3 years ago
What is the volume of a sphere with a radius of 6mm
sertanlavr [38]
Approximately 904.78
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3 years ago
Circumference (rounding)<br> Your gonna need to round to the nearest tenth.
enyata [817]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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MaRussiya [10]

Answer: The answer is (b) [(p∧q)⇒r] ∧ [r⇒(p∧q)].


Step-by-step explanation:  Given that The statements 'p', 'q' and 'r' are defined as follows.

p : it is cold,

q : it is humid,

r : it is snowing.

The statement 'it is cold and humid if and only if it is snowing'  can be written as

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We know that  r ⇔ s can be written as (r⇒s)∧(s⇒r).

So, (p∧q) ⇔ r can be written as [(p∧q)⇒r] ∧ [r⇒(p∧q)].

Thus, the answer is (b) [(p∧q)⇒r] ∧ [r⇒(p∧q)].



7 0
3 years ago
Read 2 more answers
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