Answer:
54 miles
Step-by-step explanation:
lets work in steps here:
1 in (24 miles) + 1 in (24 miles) = 2 in OR 48 miles
PLUS
**0.25 in (6 miles)
= 48+6 miles = 54 miles
** you know that 0.25=6 miles because 24/6 is 4. 100/4 is 0.25. simple division.
The square root of 100 is 10. Which is a whole number and whole numbers are rational numbers.
3. f(-6) = 12+1 =13
f(-2) = 4+1 = 5
f(0) =1
Range {1,5,13}
4. f(-2) = (-2)^3+1 =-7
f(-1) = (-1)^2 +1 =0
f(3) = (3)^3 +1 = 28
Range = {-7,0,28}
5.the sequence is arithmetic
d= -11+19 = 8
an = a1 + d(n-1)
an = -19 +8(n-1)
6.l =w+5
a =l*w
a(w) =(w+5) * w
a(w)= w^2 +5w
f(w) = w^2 +5w
f(8) = 8^2 +5(8)
f(8) = 64 +40
f(8) =104 in^2
The correlation coefficient (r) is a number that describes how closely the numbers in the data set are related. The correlation coefficient will always be between −1.0 and +1.0. If the correlation is positive, there is a positive relationship. If it is negative, the relationship is negative. If the two are not correlated at all, the correlation coefficient will be 0. Strong and weak correlations are a little more subjective in that there is no exact cutoff between strong and weak, but generally, any r value that is close to either 1 or negative 1 is considered strong. Any value of r that is closer to 0 is considered weak.
First thing to do is find out the coordinates of two points on the graph (I will use the ones that have been marked by the red dots):
Point A: (3, -1)
Point B: (1, 2)
Then we will use the slope formula to work out the slope:
y₂ - y₁ / x₂ - x₁
Substitute in our points:
2 - (-1) / 1 - 3
Then we work out the expression (remember a negative and a negative make a positive!):
3 / -2
Then we check if we can simplify this fraction, which in this case we cannot.
Therefore the slope of that line would be:
3 / -2
(remember to write it as a fraction!)
