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Murrr4er [49]
4 years ago
14

the perimeter of a regtangular garden is 100 ft. The length of the garden is 8 ft longer than twice the width. Find the length a

nd width of the garden ?
Mathematics
1 answer:
Marat540 [252]4 years ago
7 0
Ok,so the equation is 2x +8=100 but their are  4 sides, so you will add 2x+2x and 8+8, so that will equal 4x +16=100. subtract 16 from 100 and it will give you 84.divide 84 by 4 and it will give you 21.  to check your answer multiply 24 times  add 16 and it gives you 100
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a circle has a radius of 4 an arc in this circle has a central angle of 288 what is the length of the arc
AnnZ [28]

Answer:

20.1 units

Step-by-step explanation:

2πr * X/360, where X = angle measure

2(3.14)(4)(288/360)

20.1 units

4 0
3 years ago
ANSWER HURRY PLSSSSSSSSSSSSSS
Andrews [41]

Answer:

Its a function

Step-by-step explanation:

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7 0
3 years ago
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Suppose 52% of the population has a college degree. If a random sample of size 563563 is selected, what is the probability that
amm1812

Answer:

The value is  P(| \^ p -  p| < 0.05 ) = 0.9822

Step-by-step explanation:

From the question we are told that

    The population proportion is  p =  0.52

     The sample size is  n  =  563      

Generally the population mean of the sampling distribution is mathematically  represented as

           \mu_{x} =  p =  0.52

Generally the standard deviation of the sampling distribution is mathematically  evaluated as

       \sigma  =  \sqrt{\frac{ p(1- p)}{n} }

=>      \sigma  =  \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }

=>      \sigma  =   0.02106

Generally the  probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as

            P(| \^ p -  p| < 0.05 ) =  P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 ))

  Here  \^ p is the sample proportion  of persons with a college degree.

So

 P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma }  < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )

Here  

    \frac{[\^p - p] - p}{\sigma }  = Z (The\ standardized \  value \  of\  (\^ p - p))

=> P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P[\frac{-0.47 - 0.52}{0.02106 }  <  Z  < \frac{-0.47 + 0.52}{0.02106 }]

=> P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P[ -2.37 <  Z  < 2.37 ]

=>  P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P(Z <  2.37 ) - P(Z < -2.37 )

From the z-table  the probability of  (Z <  2.37 ) and  (Z < -2.37 ) is

  P(Z <  2.37 ) = 0.9911

and

  P(Z <  - 2.37 ) = 0.0089

So

=>P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) =0.9911-0.0089

=>P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = 0.9822

=> P(| \^ p -  p| < 0.05 ) = 0.9822

3 0
4 years ago
First consider 100% what is the 100% of 40
suter [353]

Answer:

Step-by-step explanation:

100% means all of 40.

So 100% of 40 is 40

4 0
3 years ago
Read 2 more answers
The aquarium has 198 guppies, angelfish and catfish altogether.
BabaBlast [244]

Answer:

Number of catfish = 28

Step-by-step explanation:

Let the number of catfish = c

Number of angle fish = c + 6

Number of guppies = 4*(c + 6) = 4c + 4*6 = 4c + 24

Total fishes = 198

c + c + 6 + 4c + 24 = 198           {Combine like terms}

c + c +4c + 6 + 24 = 198

                6c + 30 = 198              {Subtract 30 from both sides}

                     6c    = 198 - 30

                     6c   = 168

                       c = 168/6           {Divide both sides by 6}

                       c = 28

5 0
3 years ago
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