What is six times six take away for plus nine
1 answer:
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Answer:
r =
Step-by-step explanation:
So we need to complete the square for both parts of the equation
First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6
So first we can complete the square for x² + 2x
To do so we need to use to figure out the number we need to add to both sides
In this case our b is 2, so substituting this in we get
Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1
Now we can follow the same steps to complete the square for y² + 4y
Here our b is 4, so substituting this in we get
Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4
Now condensing everything we have (x + 1)² + (y + 2)² = 11
The formula for a circle is (x - h)² + (y - k)² = r²
In our equation we have r² = 11
To find the radius we need to take the square root of both sides to get r =
Answer:
The estimate is
Step-by-step explanation:
From the question we are told that
The sample size is n = 522
The sample proportion of students would like to talk about school is
Given that the confidence level is 90 % then the level of significance can be mathematically evaluated as
Next we obtain the critical value of from the normal distribution table, the value is
Generally the margin of error can be mathematically represented as
=>
=>
Generally the estimate the proportion of all teenagers who want more family discussions about school at 90% confidence level is
substituting values