A lock is using 3 digits from 1 to 7 as its lock combination, the numbers can be repeated. How many different possible lock comb
1 answer:
The question is an illustration of selection (or combination)
The number of lock combination is 343
The given parameters are:
<em /><em> --- the number of digits to select from</em>
<em /><em> --- the number of digits the lock uses</em>
<em />
Because the digits can be repeated, the number of lock combinations is:
So, we have:
Hence, the number of lock combination is 343
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Answer:
Regression Line is given by,
y = 22.909 + 0.209 x
The course grade of a student in the course who spent an average of 103 minutes in the course each week is: 22.909 + 0.209 × 103 = 44.436
Step-by-step explanation:
The equation of Regression equation is of the form of:
y = a + bx
where, a is intercept and b is slope
The formula for a and b is given by,
Here, ∑X = 1149.8, ∑Y = 377.2, ∑XY = 93115.95, ∑X² = 320246.72
Thus, a = 22.909
and b = 0.209
Thus, Regression Line is given by,
y = 22.909 + 0.209 x
Thus, The course grade of a student in the course who spent an average of 103 minutes in the course each week is: 22.909 + 0.209 × 103 = 44.436
Now plotting these line:
