Answer:
(x + 2)² = 8
Step-by-step explanation:
To complete the square, write the equation standard form.
-4 + 4x + x² = 0
x² + 4x - 4 = 0
Take the middle term 4x and divide the coefficient in 2 and square it. Here it is 4/2 = 2. 2² = 4. Add 4 to both sides.
x² + 4x + 4 - 4 = 0 + 4
(x + 2)² - 4 = 4
(x + 2)² = 8
Answer:
A
Step-by-step explanation:
The equation 
describes the proportional relationship between variables x and y. In this equation, k is the coefficient of proportionality.
Consider all options:
A. For the equation
the coefficient of proportionality is
B. For the equation
the coefficient of proportionality is
C. For the equation
the coefficient of proportionality is
D. For the equation
the coefficient of proportionality is
Answer:
5% of people have an IQ score less than 60 or greater than 140
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 100
Standard deviation = 20
What percentage of people have an IQ score less than 60 or greater than 140
60 = 100 - 2*20
So 60 is two standard deviations below the mean
140 = 100 + 2*20
So 140 is two standard deviations above the mean
By the Empirical Rule, 95% of the people have an IQ between 60 and 140, and 5% have an IQ outside this range, that is, less than 60 or greater than 140.
Answer:
240 gallons
Step-by-step explanation:
Let's set up an ratio where g = gallons and m = miles:
20g = 300m
We need the right side of that to be 3600, so multiply both sides by 12:
12(20g) = 12(300m)
Answer: 240 gallons for 3600 miles
