Answer:
x = 6 or x = -3/2
Step-by-step explanation:
Solve for x:
16 x^2 - 72 x + 145 = 289
Hint: | Write the quadratic equation in standard form.
Divide both sides by 16:
x^2 - (9 x)/2 + 145/16 = 289/16
Hint: | Solve the quadratic equation by completing the square.
Subtract 145/16 from both sides:
x^2 - (9 x)/2 = 9
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 81/16 to both sides:
x^2 - (9 x)/2 + 81/16 = 225/16
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 9/4)^2 = 225/16
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 9/4 = 15/4 or x - 9/4 = -15/4
Hint: | Look at the first equation: Solve for x.
Add 9/4 to both sides:
x = 6 or x - 9/4 = -15/4
Hint: | Look at the second equation: Solve for x.
Add 9/4 to both sides:
Answer: x = 6 or x = -3/2
Answer: A. Mean.
Explanation:
Mean is the only measure of central tendency that is always affected by an outlier. Mean, the average is the most popular measure of central tendency.
The mean is strongly influenced by outliers because it is the average of the scores and it is not resistant.
Answer:
8 or 4
Step-by-step explanation:
1) x=
square root ({15}^{2} - {9}^{2} )
all the others are the same method, just remember
the horizontal line^2 + the vertical line ^2 is equals to the line opposite the right angle^2
Answer:
1/4
Step-by-step explanation:
3/12 simplified is 1/4 because both the numerator and the denominator are divisible by 3. After dividing the numerator and denominator by 3, you get 1/4.