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-BARSIC- [3]
3 years ago
11

The area of a circular garden is 4,225 T square feet. Rick wants to find the diameter of the garden. What is the diameter of

Mathematics
1 answer:
ankoles [38]3 years ago
5 0

Answer:

D.  130 feet

Step-by-step explanation:

<u>Data</u>

  • The area of a circular garden is 4,225 π square feet

The area of a circle is computed as follows:

Area of a circle = π*D²/4

where D refers to the diameter

Replacing with data:

4,225 π = π*D²/4

4,225 π/π *4 = D²

√16900 = D

130 ft = D

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Nina [5.8K]
Firstly, expand the equation.
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Next, move the variable x to the left and all the constant to the right.
2x + 6 = 4x - 4 \\ 2x - 4x =  - 4 - 6 \\  - 2x =  - 10

Then, solve for x.
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5 0
3 years ago
The manufacturer of an airport baggage scanning machine claims it can handle an average of 560 bags per hour. (a-1) At α = .05 i
ioda

Answer:

The calculated value t = 1.76 < 2.131 at 0.05 level of significance

Null hypothesis is accepted

The manufacturer’s claim is greater than 560 bags per hour

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given sample size 'n' =16

Given the manufacturer of an airport baggage scanning machine claims it can handle an average of 560 bags per hour.

mean of the Population 'μ' = 560

Mean of the sample Χ⁻ = 538

sample standard deviation' S' = 50

<em><u>Null hypothesis</u></em><em>:H₀:μ > 560</em>

<em><u>Alternative Hypothesis</u></em><em>:H₁ : :μ < 560 (left tailed test)</em>

<em>Test statistic</em>

   t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }

  t = \frac{538-560 }{\frac{50}{\sqrt{16} } } = -1.76

|t| = |-1.76| = 1.76

<em>Degrees of freedom </em>

<em>γ = n-1 =16-1 =15</em>

t_{\frac{\alpha }{2} } = t_{\frac{0.05}{2} } =t_{0.025} =2.131

<em><u>Conclusion</u></em>:-

The calculated value t = 1.76 < 2.131 at 0.05 level of significance

Null hypothesis is accepted

The manufacturer’s claim is greater than 560 bags per hour

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3 years ago
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Answer: Wouldn't the answer be A?

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