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Vladimir [108]
3 years ago
10

A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 29 FT long and 18 FT wide.

Mathematics
1 answer:
Sophie [7]3 years ago
8 0

Answer:

522 FT

Step-by-step explanation:

29 x 18

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The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The
zavuch27 [327]

The standard deviation of the frequency distribution is 5.54

<h3>How to determine standard deviation?</h3>

The table of values is given as:

x     f(x)

0-3 13

4-7  13

8-11 10

12-15 11

16-19 0

20-23 3

Rewrite the table by calculating the class midpoints:

x     f(x)

1.5 13

5.5  13

9.5 10

13.5 11

17.5 0

21.5 3

Start by calculating the mean using:

\bar x = \frac{\sum fx}{\sum f}

This gives

\bar x = \frac{1.5 * 13 + 5.5 * 13 + 9.5 * 10 + 13.5 * 11 + 17.5 * 0 + 21.5 * 3}{13 + 13 + 10 + 11 + 0 +3}

Evaluate

\bar x = 7.98

The standard deviation is then calculated as:

\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f }}

So, we have:

\sigma= \sqrt{\frac{13 * (1.5 - 7.98)^2 + 13  * (5.5 - 7.98)^2 + (9.5 - 7.98)^2 * 10 + (13.5 - 7.98)^2 * 11 + (17.5 - 7.98)^2 * 0 + (21.5 - 7.98)^2 * 3}{13 + 13 + 10 + 11 + 0 +3}}

Evaluate

\sigma= \sqrt{30.6496}

Solve

\sigma= 5.54

Hence, the standard deviation is 5.54

Read more about standard deviation at:

brainly.com/question/15858152

#SPJ1

7 0
2 years ago
Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!
Ugo [173]

Answer:

Step 3  they took the square root incorrectly

Step-by-step explanation:

5 ( x-2)^2 +6 = 86

Subtract 6 from each side

5 ( x-2)^2 +6 -6= 86-6

5 ( x-2)^2  = 80

Divide each side by 5

5 ( x-2)^2  /5 = 80/5

(x-2)^2 = 16

Take the square root of each side

sqrt((x-2)^2)  = ±sqrt(16)

x-2 = ±4

4 0
3 years ago
What is the surface area of the cylinder in terms of pi? The diagram is not drawn to scale.
bearhunter [10]
Surface Area = 2πr² + 2πrh 

Surface Area = 2π(7)² + 2π(7)(15) = 308π in²²

Answer: 308π in²
3 0
4 years ago
Solve the inequality 12(1/2x-1/3)&gt;8-2x
gizmo_the_mogwai [7]

Answer:8(1/2x - 1/4)> 12 - 2x

a.x > 7

b.x > 7/3

c.x > 5/3

d.x > 5/3

Step-by-step explanation: Solve the inequality 12(1/2x-1/3)>8-2x

3 0
4 years ago
The z-statistic for a sample of delmar's practice times is 1.41. how should this statistic be interpreted in terms of the hypoth
mafiozo [28]

Answer: c) There is not enough evidence to reject H0

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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