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s344n2d4d5 [400]
1 year ago
8

A farmer uses 1/3 of his land to plant cassava, 2/5 of the remaining and to plant maize and the rest vegetables.if vegetables co

ver an area of 10acres,what is the total area of the farmers land.
Mathematics
1 answer:
abruzzese [7]1 year ago
6 0
Cassava = 1/3 of his land

Remaining after planting Cassava = 1 - 1/3 = 2/3 of his land

Maize = 2/5 x 2/3 = 4/15 of his land

Vegetables = 2/3 - 4/15 = 2/5 of his land



If vegetables = 10 acres

2/5 of his land = 10 acres

1/5 of his land = 10 ÷ 2 = 5 acres

5/5 of his land = 5 x 5 = 25 acres

Answer: Total area 25 acres.
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garik1379 [7]

Answer:

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

Step-by-step explanation:

We have a sample of executives, of size n=160, and the proportion that prefer trucks is 26%.

We have to calculate a 95% confidence interval for the proportion.

The sample proportion is p=0.26.

 

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.26*0.74}{160}}\\\\\\ \sigma_p=\sqrt{0.0012}=0.0347

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=1.96 \cdot 0.0347=0.068

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.26-0.068=0.192\\\\UL=p+z \cdot \sigma_p = 0.26+0.068=0.328

The 95% confidence interval for the population proportion is (0.192, 0.328).

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

3 0
2 years ago
Complete the equation of the line through (-6,5)(−6,5)left parenthesis, minus, 6, comma, 5, right parenthesis and (-3,-3)(−3,−3)
goldenfox [79]

Answer:

The answer to your question is:   y = -8/3 x - 11

Step-by-step explanation:

A (-6, 5)

B (-3, -3)

Process

1.- Find the slope of the line

Formula

             m = \frac{y2 - y1}{x2 - x1}

Substitution

             m = \frac{-3 - 5}{-3 + 6}

Simplifying

            m = \frac{- 8 }{3}

2.- Find the equation of the line

Formula

              ( y - y1) = m(x - x1)                    

Substitution

             ( y + 3) = -8/3 (x + 3)

Simplifying

              y + 3 = -8/3 x - 8

              y = -8/3 x - 8 - 3

              y = -8/3 x - 11

4 0
1 year ago
If he sells each fish at a profit of $1.25, how much money will he have after selling all 24 fish? Show your calculation.
Flauer [41]

He sells each fish for $1.25, and he sells 24 fishes.

Multiply 24 with $1.25

24 x 1.25 = 30

He will have $30.

hope this helps

8 0
1 year ago
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Sherry was in charge of distributing 25 food items
Valentin [98]

Answer:

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Step-by-step explanation:

6 0
1 year ago
A veterinarian needs to know an animal's weight in kilograms.If 20 pounds is about 9 kilograms and dog weighs 30 pounds,use a ra
Lesechka [4]

Answer:

Using the ratio table the dogs weight is:

30 pounds = 13.5 kilograms

Step-by-step explanation:

For this case we have the following conversion:

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To use the table what we must do is find another relationship that allows us to find the weight in kilograms for 30 pounds.

For example, half the weight in pounds is half the weight in kilograms.

Therefore, the given conversion is:

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So, for 30 pounds, we multiply this last ratio obtained by three on both sides:

30 pounds = 13.5 kilograms

Then, the table is:

Pounds 10 20 30

7 0
1 year ago
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