Answer:
The equation 'y = y + 1' represents NO SOLUTION.
Hence, option 'C' is true.
Step-by-step explanation:
a)
6a = 9a
subtract 9a from both sides
6a - 9a = 9a - 9a
-3a = 0
divide both sides by -3
-3a / -3 = 0/-3
Simplify
a = 0
b)
5x = 28
divide both sides by 5
5x/5 = 28/5
x = 28/5
c)
y = y + 1
subtract y from both sides
y - y = y+1-y
0 = 1
These sides are not equal, so
NO SOLUTION!
d)
y + 5 = 12
subtract 5 from both sides
y + 5 - 5 = 12 - 5
y = 7
Conclusion:
Therefore, the equation 'y = y + 1' represents NO SOLUTION.
Hence, option 'C' is true.
Answer:
Approximately normal for large sample sizes
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
The distribution is unknown, so the sampling distribution will only be approximately normal when n is at least 30.
So the correct answer should be:
Approximately normal for large sample sizes
Answer:
12 foot.
Step-by-step explanation:
Given that,
A ladder leans a 15 foot ladder against a second story window.
The distance on the ground between the base of the ladder and the house is 9 feet.
We need to find the height of the ladder. Let it is h.
If we consider a right angles triangle such that 15 foot is hypotenuse, 9 feet is base, then we need to find the perpendicular height of the triangle. Using Pythagoras theorem to find it.
So, the height of the ladder that reaches the second story window is 12 foot.
Answer:
<em>( x + 13 )^2 + ( y + 6 )^2 = 1; Option A</em>
Step-by-step explanation:
<em>~ The question we have at hand is: x^2 + y^2 + 26x + 12y + 204 = 0 ~</em>
Let us apply the circle equation ( x - a )^2 + ( y - b )^2 = r^2 ⇒ provided r is the radius, centered at point ( a, b )
1. First rewrite x^2 + y^2 + 26x + 12y + 204 = 0 in the standard form of circle equation: x^2 + y^2 + 26x + 12y + 204 = 0
2. Now move the loose number to the right side: x^2 + 26x + y^2 + 12y = -204
3. Let us now group variables: ( x^2 + 26x ) + ( y^2 + 12y ) = -204
4. Convert x to square form: ( x^2 + 26x + 169 ) + ( y^2 + 12y ) = -204 + 169
5. Convert to square form: ( x + 13 )^2 + ( y^2 + 12y ) = -204 + 169
6. Convert y to square form: ( x + 13 )^2 + ( y^2 + 12y + 36 ) = -204 + 169 + 36
7. Convert to square form, and simplify: ( x + 13 )^2 + ( y + 6 )^2 = 1
<em>Answer: ( x + 13 )^2 + ( y + 6 )^2 = 1</em>
