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anyanavicka [17]
3 years ago
13

In the third week of July, a random sample of 40 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. A

ssume that σ is known to be $1.98 per 100 pounds.
A farm brings 15 tons of watermelon to the market.
Find a 90% confidence interval for the population mean cash value of this crop. What is the margin of error? Hint: 1 ton is 2000 pounds. (Round your answers to two decimal places.)
Mathematics
1 answer:
suter [353]3 years ago
8 0

Answer:

a. [6.6350,7.3950]

b. ME=0.5150

Step-by-step explanation:

a. Given that n=40, \bar x=6.88 and that:z_{\alpha/2}=z_{0.05}=1.645

The required 90% confidence interval can be calculated as:

\bar x\pm(margin \ of \ error)\\\\\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\\\6.88\pm(1.645\times \frac{1.98}{\sqrt{40}})\\\\=[6.3650,7.3950]

Hence, the 90% confidence interval for the population mean cash value of this crop is [6.6350,7.3950]

b. The margin of error at 90% confidence interval is calculated as:

ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\\\=(1.645\times \frac{1.98}{\sqrt{40}})\\\\=0.5150

Hence, the margin of error is 0.5150

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Fill in the missing numbers below.
Levart [38]

Answer:

5 feet + 12 inches = 2 yards

48 inches = 1 foot + 1 yard

5 feet = 3 feet + 24 inches

Step-by-step explanation:

To help solve these equations, you must know how to convert feet to inches, inches to yards, etc. Use the information below:

1 feet = 12 inches

3 feet = 1 yard

To solve 5 feet + 12 inches = blank yard(s), convert 5 feet & 12 inches to yards. Since 5 feet would be complicated to convert, let's convert 12 inches to feet first.

12 inches = 1 feet

Instead of 12 inches, we can substitute it as 5 feet + 1 feet = blank yard(s). That would be 6 feet = ? yards. 3 feet = 1 yard, which tells us we must divide both sides by 3. Thus, 5 feet + 12 inches = 2 yards.

Blank inches = 1 foot + 1 yard

To find the # of inches in a yard, you must first know that 3 feet = 1 yard. If there are 12 inches in a foot, we must multiply 3 by 12, getting us 36. You add 12 inches (1 foot), getting us 48 inches in total. Thus 48 inches = 1 foot + 1 yard.

Blank feet = 3 feet + 24 inches

Since 3 feet is already feet, we do not need to convert it. If 12 inches is 1 foot, we must divide 24 inches by 12. So, there is 2 feet in 24 inches. 2 + 3 is 5. Thus, 5 feet = 3 feet +24 inches.

8 0
3 years ago
The larger of two numbers is 7 times the smaller number. Three times the larger number is 7 more than 4 times the smaller number
Juliette [100K]

Let the smaller number be x.

Given, the larger number is 7 times the smaller number.

So, the larger number = 7x.

Given, 3 times the larger number is 7 more than 4 times the smaller number.

So we can write the equation as,

3(7x) = 4(x)+7

3(7x) = 4x+7

21x = 4x+7

Now we have to move 4x to the left side by subtracting 4x from both sides.

21x-4x = 4x-4x+7

21x-4x = 7

17x = 7

To get x, we will divide both sides by 17. We will get,

\frac{17x}{17} = \frac{7}{17}

x = \frac{7}{17}

So the smaller number = \frac{7}{17}

The larger number = 7(\frac{7}{17} ) = \frac{49}{17}

So we have got the required numbers.

Smaller number = \frac{7}{17} and larger number = \frac{49}{17}.

4 0
3 years ago
If a radioactive isotope has a half-life of 6 hours and 12 milligrams is initially present, how much will
Serhud [2]

Answer:0.75 milligrams will  be present in 24 hours

Step-by-step explanation:

Step 1

The formula for radioactive decay can be written as

N(t)=No (1/2)^(t/t 1/2)

where

No= The amount of the radioactive substance at time=0=milligrams

t 1/2= the half-life= 6 hours

t=24 hours

N(t) = the amount at time t

Step 2--- Solving

N(t)=No (1/2)^(t/t 1/2)

=N(t)=12 x ( 1/2) ^ (24/6)

= 12 x (1/2) ^4

= 12 x 0.0625

= 0.75 milligrams

3 0
3 years ago
A tomato plant grew an average of 0.06 m per day. How many days did it take for the plant to grow a total of 0.96 m.            
Nadya [2.5K]
If you divide 96 by 6 then you get 16. So it's 16 days!
3 0
3 years ago
Read 2 more answers
Por favor responder a esta pregunta
ahrayia [7]
Por determinante:
5...1...1
1...0...1 = 0 --> se o determinante for igual a 0, os pontos estarão alinhados.
3...3...1

calculando: (5 x 0 x 1 + 1 x 1 x 3 + 1 x 3 x 1) - (1 x 0 x 3 + 1 x 1 x 1 + 3 x 1 x 5) = 
0 + 3 + 3 - 0 - 1 - 15 = 
6 - 1 - 15 = 
5 - 15 = - 10 --> como não deu zero, os pontos não estão alinhados.
4 0
3 years ago
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