Joseph walked ten miles because 1 times 10 is ten (the ten represents all the tenths
Answer:
In order to solve this problem, you must draw a right triangle first to help you visualize the path of the jogger.
You are given 0.5 miles north (which will be the height of the right triangle), and 1.3 miles (which will be the hypotenuse of the triangle).
Using Pythagorean Theorem: a²+b²=c², we have:
0.5² + b² = 1.3²
b = 1.3²-0.5²
b = 1.2 miles
Answer:
Step-by-step explanation:
P(0 personality in common) = 39/375 = 0.104
P(1 personality in common) = 69/375 = 0.184
P(2 personality in common) = 110/375 = 0.2933
P(3 personality in common) = 122/375 = 0.325
3
P(4 personality in common) = 35/375 = 0.093
3
b) No the probability did not add up to 1 because they do not cover the entire sample space
c) Sample space is 0, 1, 2, 3, 4 personality preferences in common
Answer:
Centre = (2, -3)
radius = 5units
Step-by-step explanation:
The standard form of a circle is expressed as;
x²+y²+2gx+2fy+c = 0
Centre = (-g, -f)
radius r = √g²+f²-c
Given the equation;
x²+y²-4x+6y-12 = 0
Compare
2gx = -4x
2g = -4
g = -2
Similarly;
2fy = 6y
2f = 6
f = 3
Centre = (-(-2), -3)
Centre = (2, -3)
Radius = r = √(-2)²+3²+12
r = √4+9+12
r = √25
r = 5 units