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Genrish500 [490]
2 years ago
15

A circular city plaza is surrounded by a row of bricks. The area of the plaza is 1,520 square meters. How long is the row of bri

cks, to the nearest meter?
Mathematics
1 answer:
Korolek [52]2 years ago
8 0

Answer:

138 meters

Step-by-step explanation:

step 1

Find the radius of the circular city plaza

The area is equal to

A=\pi r^{2}

we have

A=1,520\ m^2

\pi =3.14

substitute

1,520=(3.14)r^{2}

solve for r

r^2=1,520/3.14\\r=22\ m

step 2

we know that

To find out how long is the row of bricks, determine  the circumference of the circular city plaza

The circumference is equal to

C=2\pi r

we have

r=22\ m

\pi =3.14

substitute

C=2(3.14)(22)=138\ m

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The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding
Andru [333]

Answer:

There is no sufficient evidence to support the claim that wedding cost is less than $30000.

Step-by-step explanation:

Values (x) ∑(Xi-X)^2

----------------------------------

29.1                    0.1702

28.5                  1.0252

28.8                  0.5077

29.4                   0.0127

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29.8                  0.0827

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----------------------------------------

236.1                 3.4088

Mean = 236.1 / 8 = 29.51

S_{x}=\sqrt{3.4088/(8-1)}=0.6978

Statement of the null hypothesis:

H0: u ≥ 30 the mean wedding cost is not less than $30,000

H1: u < 30 the mean wedding cost is less than $30,000

Test Statistic:

t=\frac{X-u}{S/\sqrt{n}}=\frac{29.51-30}{0.6978/\sqrt{8}}= \frac{-0.49}{0.2467}=-1.9861

Test criteria:

SIgnificance level = 0.05

Degrees of freedom = df = n - 1 = 8 - 1 = 7

Reject null hypothesis (H0) if

t

Finding in the t distribution table α=0.05 with df=7, we have

t_{0.05,7}=2.365

t>-t_{0.05,7} = -1.9861 > -2.365

Result: Fail to reject null hypothesis

Conclusion: Do no reject the null hypothesis

u ≥ 30 the mean wedding cost is not less than $30,000

There is no sufficient evidence to support the claim that wedding cost is less than $30000.

Hope this helps!

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Step-by-step explanation:

We need to find equivalent to RootIndex 3 StartRoot 8 EndRoot Superscript x

Writing in mathematical form:

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Solving:

We know 8= 2x2x2= 2^3

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Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

The expression 120+4x represents the cost of producing x items. The selling price is $5 for each item.

<u>The net income formula:</u>

y= (5 - 4)x - 120

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120= fixed costs

<u>To calculate the break-even point in units, we need to use the following formula:</u>

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