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azamat
2 years ago
9

a farmers land is separated into sections of size 2 1/7 acres. Suppose there are 2 2/3 such sections. how many acres of land doe

s the farmer own
Mathematics
1 answer:
Mademuasel [1]2 years ago
4 0

Answer:

  5 5/7 acres

Step-by-step explanation:

The product is ...

  (2 1/7 acres/section)(2 2/3 sections) = (15/7)(8/3) acres = 40/7 acres

  = 5 5/7 acres

The farmer owns 5 5/7 acres of land.

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A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a
laila [671]

Complete Question

A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of ±5% with 90% confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?

Round your answer up to the nearest integer.

sample size = _____

Answer:

The sample size is n = 271    

Step-by-step explanation:

From the question we are told that  

   The margin of error is  E = 5% = 0.05

Generally given that there was no prior knowledge about the proportion of who might support the law, we will assume the sample proportion to be  

     \^ p =  0.5

From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.645

Generally the sample size is mathematically represented as  

    n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>   n = [\frac{1.645 }{0.05} ]^2 * 0.5 (1 - 0.5 )

=>   n = 271    

5 0
2 years ago
Rudolf has a pool that has a diameter of about 24.26 mm. What is the area of the pool in terms of pi
bonufazy [111]

Answer:

   = 147.1369 pi

Step-by-step explanation:

The diameter is 24.26

The radius is d/2 = 24.26/2 =12.13

The area of a circle is

A = pi r^2

   = pi (12.13)^2

   = 147.1369 pi

6 0
3 years ago
Read 2 more answers
Translate this phrase into an algebraic expression.
Andre45 [30]

Answer:

60-2x=v

Step-by-step explanation:

8 0
3 years ago
Marcus earns $8.40 per hour. He works for 26 hours each week, 48 weeks each year. If he earns over $10,000, then Marcus has to p
MAVERICK [17]

We have been given that Marcus works for 26 hours each week and 48 weeks each year.

Thus in a year he works for 26 \times 48 = 1248 hours.

Now, we have been given that Marcus earns $8.40 per hour.

Therefore, in 1248 hours, he earns

1248 \times 8.40\\
\\
=\$ 10483.2

Marcus has to pay tax if he earns more than $10,000. Now we have calculated that he earns $ 10483.2  which is higher than $10,000.

Therefore, Marcus has to to pat tax.

6 0
2 years ago
Read 2 more answers
Pls can someone pls help me <br> Please show your work
Lana71 [14]

Answer:

x = 8

I dunno what the question is in the first place, but I assume you are solving for x.

Step-by-step explanation:

The two given angles are equivalent because they are parallel and they have a line that intersects.

The line creates two angles on each side of each line, which is 120 or 60 because there are 180 degs on a straight line.

The obtuse side is 120, and the -8 + 16x is also on an obtuse angle, showing that they are equal.

120 = -8 + 16x

128 = 16x

8 = x

x = 8

7 0
2 years ago
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