Answer:
-1
Step-by-step explanation:
First, put the equation of the original line in y = mx + b form
3x - 3y = 54
-3y = -3x + 54
y = x - 18
This means the slope of the line is 1. Perpendicular lines have a opposite reciprocal slope, so the line will have a slope of -1
490
200+200 =400
45+ 45= 90
Total is 490
Answer:
Objective 3: Solve work problems Q25 Solve a work problem Homework. Unanswered Jennifer can sew 120 masks in 20 hr and Janice can sew 120 masks in 30 hr. How many hours does it take them to sew 120 masks if they work together?
Step-by-step explanation:
i think u should've put it in that format
Answer:
The minimum height in the top 15% of heights is 76.2 inches.
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:
Find the minimum height in the top 15% of heights.
This is the value of X when Z has a pvalue of 0.85. So it is X when Z = 1.04.
The minimum height in the top 15% of heights is 76.2 inches.
I would place the additional marble in the middle of the triangle.