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3 years ago

How much fencing does Farmer Gump need?

1 answer:

4 0

For the first field, he will need 40 m for the fence, this will cost £640 and he can have 10 sheep. For the second field, he will need 60 m for the fence, this will cost £960 and he can have 12 sheep.

<h3>What does this problem require?</h3>

This problem requires you to calculate the perimeter and area of each field and based on this information you can find the total of the fence the farmer requires, the cost, and the number of sheep.

<h3>How to calculate the perimeter?</h3>

You can calculate the perimeter by adding all the sides.

Field 1: 10m + 10m + 10m + 10m = 40 m
Field 2: 25m + 5m + 25m + 5m = 60 m

<h3>How to calculate the area?</h3>

To calculate the area, multiply the height by the width.

Field 1: 10 x 10 = 100m2
Field 2: 25 x 5 = 125m2

<h3>How much fencing does the farmer need?</h3>

The fencing needed is equal to the perimeter.

Field 1: 40 m of fencing
Field 2: 60 m of fencing

Multiply the number of meters needed by the price per meter ( £16 per meter).

Field 1: 40m x £16 per meter = £640
Field 2: 60 m x £16 per meter = £960

<h3>How many sheep can there be in each field?</h3>

To calculate this divide the area into the space required by each sheep (10m2).

Field 1: 100m2 / 10m2 = 10 sheep
Field 2: 125m2 /10m2 = 12 sheep

Note: This question is incomplete; here is the missing information:

Farmer Gump has two problems. His first problem is to work out how much fencing he needs to buy for his fields so his sheep don’t escape. His second problem is to work out how many sheep each field can hold—each sheep needs a minimum of 10m² of grass!

Sheep cost £65 each.

The fence is £16 per meter.

Learn more about perimeter in: brainly.com/question/6465134

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3 years ago

Hoover Dam, in the United States, is 223 meters high. Ertan Dam, in China, is 240 meters high. Write and evaluate a numerical ex

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3 years ago

The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams

JulsSmile [24]

Answer:

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 90 grams and a standard deviation of 2 grams.

This means that $\mu = 90, \sigma = 2$