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creativ13 [48]
2 years ago
8

There is a 10% off sale on laptop computers. If someone saves $35 on a laptop, what was its original cost?

Mathematics
1 answer:
IceJOKER [234]2 years ago
4 0

Answer:

The original cost is $350

Step-by-step explanation:

Let's assume

original cost of computer is x

There is a 10% off sale on laptop computers

So, amount saved is

=\frac{10}{100}x=0.10x

now, we are given

someone saves $35 on a laptop

so, we can set them equal

and then we can solve for x

0.10x=35

we can divide both sides by 0.10

and we get

x=350

So,

The original cost is $350

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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
2 years ago
3. The line y - 6 = (x - 3) passes through which point?
Karolina [17]

Answer:

answer is ya mum

Step-by-step explanation:

8 0
2 years ago
Find the height of a rectangular prism if the area of its base is 240 square inches and its volume is 2880 cubic inches.
worty [1.4K]

Answer:

Step-by-step explanation:

area of base = 240 in²

volume = (area of base)× height

2880 in³ = 240 in² × height

height = 2880/240 = 12 in

3 0
2 years ago
A gardener wishes to plant plants in such a way that each row contains as many plants as the number of rows. He has 2624 plants.
vagabundo [1.1K]

Answer:

80

Step-by-step explanation:

we search for a square number so that rows*plantsInARow gives us the number

The number should be around 50², guessed

50² = 2500 (to low)

51² = 2601 (still to low)

52² = 2704 (bingo)

now to get from 2624 to 2704 plants he needs 80 more. That is the least number.

He could also go to plant 60² plants an than need slot more.

(would really appreciate the brainliest)

8 0
2 years ago
Choose the number that is 5 more than a square number.<br> 21<br> 34<br> 35<br> 65<br> 76
Ipatiy [6.2K]
5 more than a square number would be 21 which is 5 more than 16 (the square of 4)
3 0
3 years ago
Read 2 more answers
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