Answer:
The z score for bolt of diameter 18.12 mm is 1.20.
Step-by-step explanation:
Let <em>X</em> = diameter of bolts.
It is provided that the random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 18 mm and standard deviation, <em>σ</em> = 0.10 mm.
A <em>z</em>-score is a standardized score, a numerical, that defines how far a data value from the mean.
The distribution of <em>z</em>-scores is defined by the Standard Normal distribution.
The formula to compute the <em>z</em>-score is:
The value of the diameter of a bolt is, <em>x</em> = 18.12 mm.
Compute the <em>z</em>-score for this value as follows:
Thus, the z score for bolt of diameter 18.12 mm is 1.20.
J is between H and K.if HJ =4t -15 ,JK=5t-6, and KH=15,find JK.
The first prime numbers are 1 and 3 ,5,7,9 Added together the total is 25
Answer:
Equations:
--- Cindy
--- Ruben
Solution to equation:
Time they have the same amount: 14 minutes
Number of cards they have at that time: 140 flashcards
Step-by-step explanation:
Solving (a): Variables and what they represent
The variables to use are x and y
Where x represent the minutes and y represents the number of flashcards in x minutes
Solving (b): System of linear equation
Cindy:
per minute
Total number of flashcards (y) in x minutes is:
Ruben:
per minute
Total number of flashcards (y) in x minutes is:
Solution to Equations:
Time they have the same amount.
To do this, we expressions
i.e.
Collect Like Terms
Number of cards they have at that time.
Here, we simply substitute 14 for x in any of the equations.
or
Grand Total: $29.81
Total Bill: $24.84
Sales Tax (8%): $1.84
Total Tip (20%): $4.97