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laila [671]
3 years ago
11

A rose garden is designed by joining a rectangle and a semicircle, as shown below. The rectangle is

Mathematics
1 answer:
damaskus [11]3 years ago
7 0
Add 20ft+16ft=36ft+3.14=3.50 this is the correct answer
You might be interested in
The Wall Street Journal reports that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deduction
Len [333]

Answer:

(a) <em>                             </em><em>n</em> :      20           50          100         500

P (-200 < <em>X</em> - <em>μ </em>< 200) : 0.2886    0.4444    0.5954    0.9376

(b) The correct option is (b).

Step-by-step explanation:

Let the random variable <em>X</em> represent the amount of deductions for taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return.

The mean amount of deductions is, <em>μ</em> = $16,642 and standard deviation is, <em>σ</em> = $2,400.

Assuming that the random variable <em>X </em>follows a normal distribution.

(a)

Compute the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $200 of the population mean as follows:

  • For a sample size of <em>n</em> = 20

P(\mu-200

                                           =P(-0.37

  • For a sample size of <em>n</em> = 50

P(\mu-200

                                           =P(-0.59

  • For a sample size of <em>n</em> = 100

P(\mu-200

                                           =P(-0.83

  • For a sample size of <em>n</em> = 500

P(\mu-200

                                           =P(-1.86

<em>                                  n</em> :      20           50          100         500

P (-200 < <em>X</em> - <em>μ </em>< 200) : 0.2886    0.4444    0.5954    0.9376

(b)

The law of large numbers, in probability concept, states that as we increase the sample size, the mean of the sample (\bar x) approaches the whole population mean (\mu_{x}).

Consider the probabilities computed in part (a).

As the sample size increases from 20 to 500 the probability that the sample mean is within $200 of the population mean gets closer to 1.

So, a larger sample increases the probability that the sample mean will be within a specified distance of the population mean.

Thus, the correct option is (b).

8 0
3 years ago
Plzzzzzzzzzzz answer asap
stepan [7]

Answer:

A) 80

Step-by-step explanation:

b/4-23=-3

b/4=-3+23

b/4=20

b=20*4

b=80

5 0
3 years ago
I need help I need help on this question
TEA [102]

Answer: Option B

Step-by-step explanation:

8 0
3 years ago
Use the distributive property to write -2(x + 5) as an equivalent expression
mamaluj [8]

Answer:

kdkdkdvjkccc

Step-by-step explanation: oh night longg

6 0
3 years ago
Please look at the picture down below
Setler79 [48]

Answer:

D. 7.29.

Step-by-step explanation:

For a Normal Distribution:

Q1  = mean - (0.675) * standard deviation

= 8.5 - 0.675*1.8

= 7.285.

3 0
3 years ago
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