Standard form for the equation of the line is
Solution:
Given point is (2, –5).
slope of the line m = 
Here, 
Equation of a line passing through the point:
Subtract 15 from both sides of the equation.
Standard form for the equation of the line is
Try this solution:
1. Note, that 100 is divisible by 4, and 999 is not divisible by it, only 996. This is an arithmetic sequence.
2. a1;a2;a3;a4;...a(n) the sequence, where a1=100; a2=104; a3=108; a4=112; ... etc., and a(n)=996. n=?
3. using a formula for n-term of the sequence: a(n)=a1+d(n-1), where a(n)=996; a1=100 and d=4 (according to the condition ' is divisible by 4'). Then 100+4(n-1)=996; ⇒ 4n=900; ⇒ n=225 (including 100).
answer: 225
Part a)
The mean height is 69 inches with a standard deviation of 2.5 inches.
If we consider a interval of heights that relies on no more than two standard deviations from the mean, we will cover, approximatelly, 95% of men's heights. Then, we interval that we're looking for is:
Answer: 64 TO 74 INCHES
Part b)
Since [69,74] is half of the interval in the previous answer, we might expect half of 95% as the percentage of men who are in this interval. That is:
Answer: 47.5 PERCENT
Part c)
A interval of heights that relies on no more than one standard deviation from the mean covers, approximatelly, 68% of men's heights. Then, we can consider that the percentage of men that are between 64 and 66.5 inches is given by 47.5 - 68/2 = 13.5.
Answr: 13.5 PERCENT
Answer:
D
Step-by-step explanation:
11/3 x 6/7 x 131/13 =
8646/273 =
31.7
