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NikAS [45]
3 years ago
9

The following division is being performed using multiplication by the reciprocal. Find the missing numbers.

Mathematics
1 answer:
konstantin123 [22]3 years ago
4 0
To find the missing values you need to understand that the reciprocal is the fraction that is created when you invert (flip) The fraction.

Using this we actually have the missing values in the other fraction.

Please see the attached picture for the 3 missing values. They are in the boxes.

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How many solutions does the system have ? 20x - 5y = 5 4x - y = 1
Aleks04 [339]

Answer:

Infinite solutions.

Step-by-step explanation:

Just plug your equation into desmos graphing calculator and it will graph it for you. If it is infinite the two lines will lay on top of one another. If there is only one solution it will be where the two lines intersect. If there are no solutions the two lines will be parallel.

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Given the two rectangles below. Find the area of the shaded region.
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Answer:

75 units²

Step-by-step explanation:

Bigger rectangle: length * width

                           : 10 * 9

                           : 90 units²

smaller rectangle: length * width

                             : 3 * 5

                             : 15 units²

Shaded region = Bigger rectangle - smaller rectangle

                         =     90 units²      -     15 units²

                         =        75 units²

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2 years ago
You deposit $4000 in an account earning 6% interest compounded continuously. How much money will you have in the account in 15 y
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Answer:

9586.232772

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Ben's boat will take 1 and a half hours to go 12 miles up a river than to return. What is the rate of his boat if the rate of th
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Is he driving with or against the current???

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A sample of 900 computer chips revealed that 75% of the chips do not fail in the first 1000 hours of their use. The company's pr
Vaselesa [24]

Answer:

No the evidence is not sufficient

Step-by-step explanation:

From the question we are told that

    The  sample  size is  n  =  900

   The  sample  proportion is  \r p  = 0.75

    The  population proportion is  p  = 0.72

The  Null hypothesis is

   H_o  : p =  0.72

The  Alternative  hypothesis is

   H_a  :  p > 0.72

The level of significance is given as  \alpha  = 0.05

The critical value for the level of significance is  t_{\alpha }  =  1.645

 Now the test statistic is mathematically evaluated as

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

substituting values

        t =  \frac{ 0.75 -  0.72 }{ \sqrt{\frac{0.72 (1-0.72)}{\sqrt{900} } } }

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Since the critical value is  greater than the test statistics then the Null hypothesis is rejected which there is no sufficient evidence to support the claim

       

 

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