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Amiraneli [1.4K]
2 years ago
13

Find the missing value. (√24-√k)(√24+√k)=5

Mathematics
2 answers:
aleksley [76]2 years ago
5 0

Answer:

19

Step-by-step explanation:

(\sqrt{24} -\sqrt{k} )(\sqrt{24} +\sqrt{k} )\\\\As,\\\\\hookrightarrow a^{2} -b^{2} =(a+b)(a-b)\\\\Subtitute:\\\\a=\sqrt{24} \\\\b=\sqrt{k} \\\\Now,\\\\\hookrightarrow (\sqrt{24} -\sqrt{k} )(\sqrt{24} +\sqrt{k} )=5\\\\\hookrightarrow (\sqrt{24} )^{2} -(\sqrt{k} )^{2} =5\\\\\hookrightarrow 24-k=5\\\\\hookrightarrow 24-5=k\\\\\hookrightarrow 19

Anna [14]2 years ago
4 0

Answer:

  • <u>k = 19</u>

Step-by-step explanation:

<u>Identity</u>

  • (a + b)(a - b) = a² - b²

<u>Simplifying the LHS (Left Hand Side)</u>

  • (√24-√k)(√24+√k)
  • (√24)² - (√k)²
  • 24 - k

<u>Equating to the RHS</u>

  • 24 - k = 5
  • k = 24 - 5
  • <u>k = 19</u>
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irina1246 [14]

Answer:

The correct options are;

B) The mean and median for the security company are both lower than the mean and the median for the collections performed by other companies

B) Since the security company appear to have collected lower revenue than other companies, there is some evidence of stealing by the security company's employees

Step-by-step explanation:

We use the acronym SC for the security company and OC for the other company

SC OC

1.6 1.5

1.8 2.1

1.6 1.9

1.8 2.2

1.7 1.9

1.2 1.7

1.1 2.1

1.2 2.2

1.2 2.2

1.5 1.8

∑x    14.7   19.6

The mean is given by  ∑x/n

n = 10

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The median is the \frac{n + 1}{n} th  \ term

Hence

               SC         OC

Median 1.55         2

Therefore, the mean and median for the security company are both lower than the mean and the median for the collections performed by other companies.

b) Since the security company appear to have collected lower revenue than other companies, there is some evidence of stealing by the security company's employees.

8 0
3 years ago
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The present distance of the boat from the port is 13 miles.
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Answer:

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