Answer:
Therefore,
![a_{21}=2](https://tex.z-dn.net/?f=a_%7B21%7D%3D2)
Step-by-step explanation:
Given:
![A=\left[\begin{array}{ccc}3&6&9\\2&4&8\\\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%266%269%5C%5C2%264%268%5C%5C%5Cend%7Barray%7D%5Cright%5D)
To Find:
a₂₁ = ?
Solution:
Let,
![A=\left[\begin{array}{ccc}a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\\\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da_%7B11%7D%26a_%7B12%7D%26a_%7B13%7D%5C%5Ca_%7B21%7D%26a_%7B22%7D%26a_%7B23%7D%5C%5C%5Cend%7Barray%7D%5Cright%5D)
We require ' a₂₁ ' i.e Second Row First Column Element
So on Comparing we get
∴ ![a_{21}=2](https://tex.z-dn.net/?f=a_%7B21%7D%3D2)
Therefore,
![a_{21}=2](https://tex.z-dn.net/?f=a_%7B21%7D%3D2)
Answer:
26
Step-by-step explanation:
6.5 is 10% of 65, so to find 40% of 65 we multiply 6.5*4=26
Answer:
B) A random sample may represent the population <em>is your best answer.</em>
Step-by-step explanation:
Note that the answer choice says "may", which means that it doesn't <em>always</em> represent the population. Random samples means that they ask random people, and do not have a certain rule that they have to follow (such as recipients can only be a certain race, age, etc.) and that they can ask anybody they meet. This can give not only a higher chance of a general population's opinion, but also makes sure that there is not a high chance of obtaining misleading information.
For example, a random survey would not take place at a rally, in which most of the people would believe the same thing, and would answer fairly the same for the survey. Instead, a random survey may be taken at a busy intersection during the time when most people are out. You must note that though it has the best chance of getting a <em>more accurate</em> representation, it still isn't the most accurate. For the best accuracy, <em>everyone would have to answer the survey in which the survey question would affect</em>.
~
Total: 318
Student tickets: x
Adult tickets: 3x+6
x+(3x+6)=318 -> 4x+6=318 -> 4x=312 -> x=78
3(78)+6 = 234+6 = 240
240 adult tickets were sold
Correct Answer:
C option: 6 feetSolution:Since <span>Yolanda wants to keep the pool in proportion to the model, the ratio of diameter to depth of model and the pool will be same.
Let the depth of pool is x feet. So we can write:
Ratio of Diameter to Depth of Model = Ratio of Diameter to Depth of pool
</span>
![18:4=27:x \\ \\ \frac{18}{4} = \frac{27}{x} \\ \\ x=27* \frac{4}{18} \\ \\ x=6](https://tex.z-dn.net/?f=18%3A4%3D27%3Ax%20%5C%5C%20%20%5C%5C%20%0A%20%5Cfrac%7B18%7D%7B4%7D%20%3D%20%5Cfrac%7B27%7D%7Bx%7D%20%5C%5C%20%20%5C%5C%20%0Ax%3D27%2A%20%5Cfrac%7B4%7D%7B18%7D%20%20%5C%5C%20%20%5C%5C%20%0Ax%3D6%20)
<span>
This means the depth of pool should be 6 feet if </span><span>Yolanda wants to keep the pool in proportion to the model.</span>