Answer:
Option B is the correct answer
Step-by-step explanation:
Center of the circle lie on point (-1, - 3) = (h, k)
![\implies \: h = - 1 \: \: k = - 3 \\radius \: r \: = 2 \\ equation \: of \: circle \: in \: standard \: form \: \\ is \: given \: as : \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ {(x + 1)}^{2} + {(y + 3)}^{2} = {2}^{2} \\ \purple{ \boxed{ \bold{ {(x + 1)}^{2} + {(y + 3)}^{2} = 4}}}](https://tex.z-dn.net/?f=%20%5Cimplies%20%5C%3A%20h%20%3D%20%20-%201%20%5C%3A%20%20%5C%3A%20k%20%3D%20%20-%203%20%5C%5Cradius%20%5C%3A%20r%20%5C%3A%20%20%3D%202%20%20%5C%5C%20equation%20%5C%3A%20of%20%5C%3A%20circle%20%5C%3A%20in%20%5C%3A%20standard%20%5C%3A%20form%20%5C%3A%20%20%5C%5C%20is%20%5C%3A%20given%20%5C%3A%20as%20%3A%20%20%5C%5C%20%20%7B%28x%20-%20h%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20-%20k%29%7D%5E%7B2%7D%20%20%3D%20%20%7Br%7D%5E%7B2%7D%20%20%5C%5C%20%20%7B%28x%20%20%2B%20%201%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20%20%2B%20%203%29%7D%5E%7B2%7D%20%20%3D%20%20%7B2%7D%5E%7B2%7D%20%20%5C%5C%20%20%5Cpurple%7B%20%5Cboxed%7B%20%5Cbold%7B%20%7B%28x%20%20%2B%20%201%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20%20%2B%203%29%7D%5E%7B2%7D%20%20%3D%204%7D%7D%7D)
Answer:
Goodness of fit
Step-by-step explanation:
Given
The theoretical probabilities
<em>See comment for complete question</em>
<em></em>
Required
The type of test to be use
From the question, we understand that you are to test if the die is loaded or not using the given theoretical probabilities.
This test can be carried out using goodness of fit test because the goodness of fit is basically used to check the possibility of getting the outcome variable from a distribution. In this case, the outcome of the variables are the given theoretical probabilities.
In a nutshell, the goodness fit of test determines if the given data (in this case, the theoretical probabilities) is a reflection of what to expect in the original population.
Answer:
2:1
Step-by-step explanation:
24 circles:12 hearts
/12. /12
2 circles : 1 heart
Answer:
Step-by-step explanation:
9514 1404 393
Answer:
2) 1/3
Step-by-step explanation:
The repeating decimal can be converted to a fraction by multiplying it by 10^n and subtracting the original value. n = number of repeating digits. This process cancels all of the repeating digits, so you can find the equivalent fraction.
![x=0.\overline{3}\\\\10x -x=3.\overline{3}-0.\overline{3}=3\\\\x=\dfrac{3}{9}\\\\0.\overline{3}=\dfrac{1}{3}](https://tex.z-dn.net/?f=x%3D0.%5Coverline%7B3%7D%5C%5C%5C%5C10x%20-x%3D3.%5Coverline%7B3%7D-0.%5Coverline%7B3%7D%3D3%5C%5C%5C%5Cx%3D%5Cdfrac%7B3%7D%7B9%7D%5C%5C%5C%5C0.%5Coverline%7B3%7D%3D%5Cdfrac%7B1%7D%7B3%7D)
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Your calculator can help you answer this:
1/5 = 0.2
1/3 = 0.333.... (repeating) . . . . the number you're looking for
3/10 = 0.3
3/5 = 0.6