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kiruha [24]
3 years ago
13

a gardener wants to build a rectangular fence for his prize winning roses. the length of the fence should be at least 6 feet and

the distance around it should be no more than 18 feet. what are the possible dimensions.
Mathematics
1 answer:
Leona [35]3 years ago
3 0

Answer:

i. 6 feet by 3 feet

ii. 7 feet by 2 feet

iii. 8 feet by 1 feet

Step-by-step explanation:

From the given question, we have;

length of the rectangular fence, l = 6 feet

perimeter of the rectangular fence = 18 feet

Let the width of the rectangular fence be represented by w.

So that,

Perimeter of a rectangle= 2(length + width)

18 = 2(6 + w)

18 = 12 + 2w

18 - 12 = 2w

6 = 2w

w = \frac{6}{2}

w = 3

The width of the rectangular fence would be 3 feet when the length is 6 feet.

Thus, the possible dimensions of the rectangular fence are:

i. 6 feet by 3 feet

ii. 7 feet by 2 feet

iii. 8 feet by 1 feet

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It would be 20

Step-by-step explanation:because you have to divide 320 by 2 which equals $160 for 1 year and then divide that by 2 again would be $80 for 6 months then divide it by 2 again which would be $40 and 3 months for it then divide it by 2 again and 1 and a half months equal $20

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Answer:

7y-10

Step-by-step explanation:

9y-\frac{1}{2}\left(4y+20\right)

To simplify this expression, first use the distributive property to distribute \frac{1}{2}.

9y-\frac{1}{2}(4y)+-\frac{1}{2}(20)

Simplify.

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Combine like terms, 9y and -2y.

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The simplification of 9y-\frac{1}{2}(4y+20) is 7y-10.

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Read 2 more answers
Which statement is not true for a binomial distribution with n = 15 and p = 1/20 ? a) The standard deviation is 0.8441 b) The nu
malfutka [58]

Answer:

d) The highest probability occurs when x equals 0.7500

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability, given by the following formula:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

In this problem, we have that:

n = 15, p = \frac{1}{20}

a) The standard deviation is 0.8441

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15*0.05*0.95} = 0.8441

This is correct

b) The number of trials is equal to 15

n is the number of trials and n = 15. So this option is correct.

c) The probability that x equals 1 is 0.3658

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658

This option is correct.

d) The highest probability occurs when x equals 0.7500

False. The number of sucesses is a discrete number, that is, 0, 1, 2,...,15. P(X = 0.75), for example, does not exist.

e) The mean equals 0.7500

E(X) = np = 15*0.05 = 0.75

This option is correct.

f) None of the above

d is false

3 0
3 years ago
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