Answer:
Step-by-step explanation:
From the answer choices available the answer that is correct is that for day-to-day business data analysis, most firms rely on a large staff of expert statisticians. This is because on a daily basis firms receive large sets of data from all of their business movements, therefore a large staff of highly experienced individuals is needed in order to handle and document all of these numbers carefully so that no mistakes are made. The smallest mistake in the firm's financial accounts can lead to a very costly loss for the company.
Given:
The expression is
.
To find:
The shows the correct way to use the rule ""multiply by the reciprocal"" for the given expression.
Solution:
According to the rule "multiply by the reciprocal", if a,b,c,d are four number, then
![\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cdfrac%7Ba%7D%7Bb%7D%7D%7B%5Cdfrac%7Bc%7D%7Bd%7D%7D%3D%5Cdfrac%7Ba%7D%7Bb%7D%5Ctimes%20%5Cdfrac%7Bd%7D%7Bc%7D)
We have,
![\dfrac{7}{\frac{5}{8}}](https://tex.z-dn.net/?f=%5Cdfrac%7B7%7D%7B%5Cfrac%7B5%7D%7B8%7D%7D)
It can be written as
![\dfrac{7}{\frac{5}{8}}=\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}](https://tex.z-dn.net/?f=%5Cdfrac%7B7%7D%7B%5Cfrac%7B5%7D%7B8%7D%7D%3D%5Cdfrac%7B%5Cdfrac%7B7%7D%7B1%7D%7D%7B%5Cdfrac%7B5%7D%7B8%7D%7D)
Using the rule "multiply by the reciprocal", we get
![\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7}{1}\times \dfrac{8}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cdfrac%7B7%7D%7B1%7D%7D%7B%5Cdfrac%7B5%7D%7B8%7D%7D%3D%5Cdfrac%7B7%7D%7B1%7D%5Ctimes%20%5Cdfrac%7B8%7D%7B5%7D)
![\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7\times 8}{1\times 5}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cdfrac%7B7%7D%7B1%7D%7D%7B%5Cdfrac%7B5%7D%7B8%7D%7D%3D%5Cdfrac%7B7%5Ctimes%208%7D%7B1%5Ctimes%205%7D)
![\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{56}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cdfrac%7B7%7D%7B1%7D%7D%7B%5Cdfrac%7B5%7D%7B8%7D%7D%3D%5Cdfrac%7B56%7D%7B5%7D)
Therefore, the correct option is D.
Answer:
No solution
Step-by-step explanation:
6X - 3Y = -9--------------(1)
- 2 X +Y= 5---------------(2)
from equation two,
Y = 5+2X------------------(3)
substitute equation (3) into equation (1)
6X-3(5+2X)= -9
opening bracket
6X-15-6X= -9
6X- 6X = -9+15
0 = 6
<h2>therefore the answer is no solution</h2>
Answer:
x = -13
Step-by-step explanation:
9 - 2x = 35
<u>-9 -9 </u>
-2x = 26
divide by -2
x = -13
Answer:
The answer is
<h2>
![\sqrt{41} \: \: or \: \: \: 6.403 \: \: \: units](https://tex.z-dn.net/?f=%20%5Csqrt%7B41%7D%20%20%5C%3A%20%20%5C%3A%20%20or%20%5C%3A%20%20%5C%3A%20%20%5C%3A%206.403%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20units)
</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula
![d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B%28%20%7Bx1%20-%20x2%7D%29%5E%7B2%7D%20%2B%20%20%28%7By1%20-%20y2%7D%29%5E%7B2%7D%20%20%7D%20%20%5C%5C%20)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-6, -5) and (2, 0)
The distance is
![d = \sqrt{ ({ - 6 - 2})^{2} + ({ - 5 - 0})^{2} } \\ = \sqrt{ ({ - 4})^{2} + ({ - 5})^{2} } \\ = \sqrt{16 + 25} \: \: \: \: \: \: \: \: \: \: \: \: \: \:](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B%20%28%7B%20-%206%20-%202%7D%29%5E%7B2%7D%20%2B%20%20%28%7B%20-%205%20-%200%7D%29%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%20%28%7B%20-%204%7D%29%5E%7B2%7D%20%20%2B%20%20%28%7B%20-%205%7D%29%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B16%20%2B%2025%7D%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20)
We have the final answer as
![\sqrt{41} \: \: or \: \: \: 6.403 \: \: \: units](https://tex.z-dn.net/?f=%20%5Csqrt%7B41%7D%20%20%5C%3A%20%20%5C%3A%20%20or%20%5C%3A%20%20%5C%3A%20%20%5C%3A%206.403%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20units)
Hope this helps you