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Mumz [18]
3 years ago
9

The perimeter of a square field is the same as that of a rectangular field. If the length of the rectangular field is 8 km and w

idth is 5 km , calculate the area of the square field.​
Mathematics
2 answers:
rjkz [21]3 years ago
8 0

Answer:

A(s) = 42.25 km ²

Step-by-step explanation:

P(r) = 2l + 2w = 2×8km + 2×5km = 16km + 10km = 26 km

P(r) = P(s)

P(s) = 26 km = 4l => l = 26km/4 = 6.5 km

A(s) = l² = (6.5km)² = 42.25 km ²

Bess [88]3 years ago
4 0

Answer:

42.25cm^2

Step-by-step explanation:

8+5+8+5 = 26

26/4 = 6.5

6.5x6.5 = 42.25

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I dont know this i dont understand can someone help me? please thank you​
emmasim [6.3K]

Answer:

hope that will help you

7 0
3 years ago
The USDA conducted tests for salmonella in produce grown in California. In an independent sample of 252 cultures obtained from w
Marat540 [252]

Answer:

 The decision rule is  

Fail to reject the null hypothesis

  The conclusion is  

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

Step-by-step explanation:

From the question we are told that

   The first  sample size is n_1   =  252

    The number that tested positive is  k_1  =  18

     The second sample size is  n_2   =  476

     The number that  tested positive is  k_2 =  20

     The level of significance is  \alpha  = 0.01

Generally the first sample proportion is mathematically represented as

      \^ p _1 =  \frac{k_1 }{ n_1 }

=>    \^ p _1 =  \frac{18 }{ 252 }

=>    \^ p _1 = 0.071

Generally the second sample proportion is mathematically represented as

      \^ p _2 =  \frac{k_2 }{ n_2 }

=>    \^ p _2 =  \frac{20 }{ 476}

=>    \^ p _2 = 0.042

The  null hypothesis is            H_o  :  p_1 - p_2 = 0

The alternative hypothesis is  H_a :  p_1 - p_2 \ne 0

Generally the test statistics is mathematically represented

       z =  \frac{ \^ p_1 - \^ p_2  -  ( p_ 1 - p_2 )}{ \sqrt{\frac{\^ p_1 (1-\^ p_1)}{ n_1  } + \frac{\^ p_2 (1-\^ p_2)}{ n_2  }  } }

=>    z =  \frac{ 0.071 - 0.042  - 0 }{ \sqrt{\frac{0.071  (1-0.071)}{  252  } + \frac{0.042 (1-\^ 0.042)}{ 476  }  } }

=>    z =  1.56

From the z table  the area under the normal curve to the right corresponding to  1.56   is  

        P(Z >  1.56 ) =0.05938

Generally the p-value is mathematically represented as

         p-value =  2 * P(Z >  1.56 )

=>      p-value = 2 *  0.05938

=>      p-value = 0.1188

From the value obtained we see that   p-value  >  \alpha hence

  The decision rule is  

Fail to reject the null hypothesis

  The conclusion is  

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

 

5 0
3 years ago
mjcaela and julia each improved their yards by planting daylilies and shrubs. they bought their supplies from the same store. mi
evablogger [386]

Answer:

The cost of one day lily = $ 11,

The cost of one shrub = $ 2.

Step-by-step explanation:

Let x be the cost of one day lily and b be the cost of one shrub,

Michaela spent $148 in 12 day lilies and 8 shrubs.

⇒ 12 x + 8 y = 148

⇒ 3 x + 2 y = 37 ----------(1)

While, Julia spent $92 on 6 day lilies and 13 shrubs.

⇒ 6 x + 13 y = 92 --------(2)

2 × Equation (1),

⇒ 6 x + 4 y = 74  --------(3)

Equation (2) - Equation (3),

9 y = 18

⇒ y = 2

By substituting this value in equation (1),

⇒ 3 x + 4 = 37

⇒ 3 x = 33

⇒ x = 11

Hence, the cost of one day lily = x =  $ 11

And, the cost of one shrub = y = $ 2

5 0
3 years ago
3 gallons of paint are needed for a wall that is 100 ft.² how many gallons of paint must be purchased at the store for 480 ft.²
siniylev [52]

Answer:almost 13 gallons


Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
Melanie buys a skirt that costs 32.00. she pays 10% sales tax. how much does she pay for the dress, with tax
Olenka [21]

Answer:

$35.2 dollars

Step-by-step explanation:

You divide 10 by 32.00 and whatever that number equals, you add to 32.00:) Ta da! Hope this helps

5 0
4 years ago
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