Answer:
The values of k are 3 and -3
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
we have
substitute
squared both sides
a) 50,000
b) 10,000
c) 25,000
{ full solution is attached below }
Answer:
The range is 19
Step-by-step explanation:
Answer: (4,-2)
Step-by-step explanation:
3x + 2y = 8
2x + 5y = -2
so: x= 8÷3 - 2÷3 y
and 2x + 5y= -2
2( 8÷3 -2÷3y) + 5y = -2
y= -2
x= 8÷3 - 2÷3 x (-2)=
x= 4
Answer:
-2.25
Step-by-step explanation:
We have that the mean (m) is equal to 500, the standard deviation (sd) 20
They ask us for P (x <455)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / sd
We have all these values, replacing we have:
z = (455 - 500) / (20)
z = -2.25