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puteri [66]
3 years ago
6

3. Find the length of the arc on a circle of radius r = 9 feet intercepted by a central angle 0 = 75°. Round your answer to two

decimal places
Mathematics
2 answers:
yarga [219]3 years ago
4 0

Answer:

3.75π or 11.780972451

Step-by-step explanation:

Equation = 0/360 x 2πr

75/360 x 2π9

Solve

3.75π or 11.780972451

prohojiy [21]3 years ago
4 0

Answer:

The answer is 11.78ft

Step-by-step explanation:

The area for calculating the length of an arc is given as;

Theta/360° × 2πr where;

Theta = central angle = 75°

r is the radius of the circle = 9ft

Substituting the values given into the formula will give;

Length of an arc = 75/360× 2π(9)

= 75/360×18π

= 1350π/360

= 3.75πft

= 11.78ft (to 2 decimal places)

The length of the arc on the circle is 11.78ft

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Bill needs to sell 50 pairs of men’s clothes.

Step-by-step explanation:

50y = 2500

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a suit is being sold at a 20 % off (discount). The sale price is $ 270. What was the original price ?
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The original price is 337.50

Step-by-step explanation:

If we get 20% off, we still have to pay 100-20 =80%

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The national mean sales price for a new one-family home is $181,900. A sample of 40 one-family homes in the south showed a sampl
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Answer:

a

The  null hypothesis is  \mu  =  \$181,900

The alternative hypothesis is  \mu <  \$ 181.900

b

t = -2.92

c

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d

There no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900

Step-by-step explanation:

From the question we are told that

   The  population mean is  \mu  =  \$ 181, 900

    The  sample size is  n =  40

    The  sample  mean is  \=  x  =  \$ 166,400

      The  sample  standard deviation is s= \$ 33, 500

The  null hypothesis is  \mu  =  \$181,900

The alternative hypothesis is  \mu <  \$ 181.900

 

Generally the test statistics is mathematically represented as

      t =  \frac{ \= x  -  \mu }{ \frac{s}{\sqrt{n} } }

=>    t =  \frac{  166400  - 181900 }{ \frac{33500}{\sqrt{40} } }

=>    t = -2.92

Generally the p-value is obtain from the z-table  the value is  

      p-value  =  P(Z < t ) = P(Z  <  -2.93) = 0.0016948

=>    p-value  =  0.0016948

From the calculation we see that  

     p-value  >  \alpha  hence we fail to reject the null hypothesis

Thus there no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900

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3 years ago
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