Answer:
Step-by-step explanation:
The z-score tells us how many standard deviations a value is away from the mean.
The formula is:
where x is the value, 
is the mean, and s is the standard deviation.
We want to find the z-score for the score of an 83, the mean is 72, and the standard deviation is 5.
Substitute the values into the formula.
Solve the numerator.
Divide.
The z-score is 2.2, which means the score of 83 is 2.2 standard deviations above the mean.
Answer:
√-16=4√-1=4i
4i is an imaginary number and a complex number.
Answer:
y = (-1/3)(x + 10)
Step-by-step explanation:
The slope of the new (perpendicular) line is the negative reciprocal of the slope of the given line, which appears to be 3. Thus, the perpendicular line has the slope -1/3.
Using the slope-intercept form y = mx + b, and substituting the givens, we obtain:
y = mx + b => -6 = (-1/3)(8) + b, or
-6 = -8/3 + b. We must solve for the y-intercept, b:
Multiplying all three terms by 3 removes the fraction:
-18 = -8 + 3b. Thus, -10 = 3b, and so b must be -10/3.
The desired equation is
y = (-1/3)x - 10/3, or
y = (-1/3)(x + 10)
The answer is D
Because, if there is 50 calories in 4 ounce serving of juice, then you do how many times 4 equals 12. 3 times 4 equals 12. so you will use 3 to multiply by 50 and you get 150 calories in 12 ounces.
