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2 years ago

12

Farmer McCoy can plant either corn or soybeans. The probabilities that the next harvest prices will go up, stay the same, or go

down are .25, .30 and .45 respectively. If the prices go up, the corn crop will give a net profit of $30,000 and the soybeans will give a net profit of $10,000. If the prices remain unchanged, McCoy will have $0 profit/loss for both crops. But if the prices go down, the corn and soybeans crops will sustain losses of $35,000 and $5,000 respctively. (A) Represent McCoy's problem as a decision tree. (B) Which crop should McCoy plant?

1 answer:

Snezhnost [94]2 years ago

4 0

Answer:

McCoy should plant soybeans

Step-by-step explanation:

Thinking process:

Let the two crops be corn and soybeans as indicated.

The profit margin for corn will be $ 30 000. However, the loss will be:

$ 35 000 - $ 30 000 = $ 5 000

For the soybean, the profit margin will be $ 10 000.

The loss will be $ 5 000

The net balance will be given as: $ 5 000 - $ 10 000 = - $ 5 000. (This represents a gain)

Thus, soybean will be more profitable.

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7. During the Middle Ages, people often used grains, scruples, and drahms to measure the weights of different medicines. If 120

Serjik [45]

Answer:

5 drahms.

Step-by-step explanation:

From the question given above, the following data were obtained:

120 grains = 6 scruples

6 scruples = 2 drahms

300 grains (in drahms) =..?

From the above data,

120 grains = 6 scruples

6 scruples = 2 drahms

Therefore,

120 grains = 2 drahms

Thus, we can obtain 300 grains in drahms as follow:

120 grains = 2 drahms

Therefore,

300 grains = 300 grains × 2 drahms /120 grains

300 grains = (300 × 2)/120 drahms

300 grains = 5 drahms

Therefore, 300 grains is equivalent to 5 drahms.

5 0

2 years ago

Solve the system of equations.<br> - 5x + 2y = 9

Marina CMI [18]

Answer: -5x + 2y -9 = 0

Step-by-step explanation:

1. Move constant to the left and change its sign

2. Change the signs on both sides of the equation

3 0

2 years ago

Major arc CBD measures 300°Which is the radian measure of its corresponding central angle?

ella [17]

This question is not complete.

Complete Question

Major arc CBD measures 300°. Which is the radian measure of its corresponding central angle?

a)4pi/3 radians

b) 5pi/6 radians

c) 5pi/3 radians

d) 11pi/6 radians

Answer:

c) 5pi/3 radians = 5π/3 radians

Step-by-step explanation:

The corresponding central angle can be defined as the angle that is formed when there is a joining together of two radii at the center of the circle.

The circumference of a circle is given as

360° = 2πr

The major arc CBD is 300°

Therefore,

360° = 2πr , radius is not given hence , 360° = 2π

300° = Y (Unknown)

Cross multiply

360Y= (300× 2π)

Y = 600π ÷ 360

Y = (5π÷ 3) radians

Y = 5π/3 radians

Hence the radian measure for the corresponding angle is = 5π/3 radians

8 0

2 years ago

Read 2 more answers

A survey conducted five years ago by the health center at a university showed that 18% of the students smoked at the time. This

podryga [215]

Answer:

test statistic (Z) is 2.5767 and p-value of the test is .009975

Step-by-step explanation:

$H_{0}$ : percentage of students who smoke did not change

$H_{a}$ : percentage of students who smoke has changed

z-statistic for the sample proportion can be calculated as follows:

z= $\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

p(s) is the sample proportion of smoking students ( $\frac{50}{200}$ =0.25)

p is the proportion of smoking students in the survey conducted five years ago (18% or 0.18)
N is the sample size (200)

Then, z= $\frac{0.25-0.18}{\sqrt{\frac{0.18*0.82}{200} } }$ ≈ 2.5767

What is being surveyed is if the percentage of students who smoke has changed over the last five years, therefore we need to seek two tailed p-value, which is .009975.

This p value is significant at 99% confidence level. Since .009975 <α/2=0.005, there is significant evidence that the percentage of students who smoke has changed over the last five years

5 0

2 years ago

Suppose babies born in a large hospital have a mean weight of 4095 grams, and a standard deviation of 569 grams. If 130 babies a

Butoxors [25]

Answer:

$P =0.3998$

Step-by-step explanation:

Let ${\overline{x}}$ be the average of the sample, and the population mean will be $\mu$

We know that:

$\mu = 4095$ gr

Let $\sigma$ be the standard deviation and n the sample size, then we know that the standard error of the sample is:

$E=\frac{\sigma}{\sqrt{n}}$

Where

$\sigma=569$

$n=130$

In this case we are looking for:

$P(|{\displaystyle{\overline{x}}}- \mu|>42)$

This is:

${\displaystyle{\overline{x}}}- \mu>42$ or ${\displaystyle{\overline{x}}}- \mu$

$P=P({\displaystyle{\overline{x}}}- \mu>42)+ P({\displaystyle{\overline{x}}}- \mu$

Now we get the z score

$Z=\frac{{\displaystyle{\overline{x}}}-\mu}{\frac{\sigma}{\sqrt{n}}}$

$P=P(z>\frac{42}{\frac{569}{\sqrt{130}}}) + P(z$

$P=P(z>0.8416) + P(z$

Looking at the tables for the standard nominal distribution we get

$P =0.1999+0.1999$

$P =0.3998$

6 0

2 years ago