The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the two other sides.
That means if you add up the distance from jacksonville to tampa and the distane from tampa to miami, the distance from jacksonville to miami must be less than that.
171 miles + 206 miles = 377 miles
the distance from jacksonville to miami must be less than 377 miles
Answer:
a) TRUE
b) FALSE
c) FALSE
d) TRUE
e) FALSE
Step-by-step explanation:
a)
TRUE because the slope of the correlation line is 2 and this is the rate of change of y respect to x
b)
FALSE
The correlation coefficient r is always between -1 and 1, so it can never be greater than one
c)
FALSE
A student might expect that there is a positive correlation between the age of their laptop and its resale value only if after collecting a large enough sample of data that relates age of the student and price of resale of their laptop, he or she finds that there is a positive correlation coefficient r>0
d)
TRUE
If there is a positive correlation, then the greater the x, the greater the y
e)
FALSE
If there is no correlation between the independent and dependent variables, then the value of the correlation coefficient must be 0.
Answer:
its rational
Step-by-step explanation:
:)
Answer:
14x + 8
Explanation:
⇒ 4(5x+5) - 3(2x + 4)
distribute inside parenthesis
⇒ 4(5x) + 4(5) - 3(2x) - 3(4)
multiply the variables
⇒ 20x + 20 - 6x - 12
collect like terms
⇒ 20x - 6x + 20 - 12
subtract like term
⇒ 14x + 8
For this case, the first thing we must do is define variables.
We have then:
x: number of blue beads
y: number of red beads
We now write the inequations system:
Answer: a system of linear inequations that represents the situation is: 
