Answer:
56.75% probability that a mechanic can complete 16 oil changes in an eight-hour day
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the probability that a mechanic can complete 16 oil changes in an eight-hour day
16 oil changes in 8 hours is 2 changes per hour, that is, one each 30 minutes.
This probability is the pvalue of Z when X = 30. So
has a pvalue of 0.5675
56.75% probability that a mechanic can complete 16 oil changes in an eight-hour day
For this case we have the following relationship for the number of carpeted cubicles:
Where,
y: total number of cubicles
x: fraction of carpeted cubicles.
Therefore, substituting values we have:
Answer:
The number of carpeted cubicles is given by:
Answer:
Step-by-step explanation:
√((5-1)²+ (4 - (-6))²
√(4)² + (10)²
√(16+100)
√116
2√(29)
Answer: $208.95
Step-by-step explanation: $199 x .05= 9.95 + $199= $208.95
Hello!
To find the line parallel to the line x + 2y = 6 and passing through the point (1, -6), we will need to know that if two lines are parallel, then their slopes are equivalent to each other.
Since the given equation is written in standard form, we will need to change it to slope-intercept form to get the slope. Slope-intercept form is: y = mx + b.
x + 2y = 6 (subtract x from both sides)
2y = 6 - x (divide both sides by 2)
y = 6/2 - x/2
y = -1/2x + 3 | The slope of parallel lines are -1/2.
Since we are given the slope, we need to find the y-intercept of the line that goes through the point (1, -6) by substituting that point into a new equation with a slope of m equalling to -1/2.
y = -1/2x + b (substitute the given point)
-6 = -1/2(1) + b (simplify - multiply)
-6 = -1/2 + b (add 1/2 to both sides)
b = -11/2 | The y-intercept of the parallel line is -13/2.
Therefore, the line parallel to x + 2y = 6 and goes through the ordered pair (1, -6) is y = -1/2x + -11/2.
