Answer:
Runner 1 has the fastest pace
Step-by-step explanation:
The first one we need to find the slope
m = (y2-y1)/(x2-x1) = (40-0)/(4-0) =40/4 = 10 minutes per mile
The second is 8.5 minutes per mile
The third we need to find the slope
m = (y2-y1)/(x2-x1) = (90-72)/(10-8) =18/2 = 9 minutes per mile
Answer:
x>2
Step-by-step explanation:
Answer:
--- (a)
---- (b)
Step-by-step explanation:
Given
Per ride (r) = $8
Per baseballs (s) = $6
Total = $100
Required
Represent using an equation
If 1 ride is $8.
r rides would be 8r
If 1 baseball is $6
s baseballs would be 6r.
So, total is:
Solving (b):
Value of s when r = 14
Substitute 14 for r
Solve for 6s
Solve for s
Let the unknown number be y;
3×3×3×11×11×y = 16335;
3267×y = 16335;
y = 16335/3267;
y = 5;
Answer:
–0.5
Step-by-step explanation:
Expected value is found by multiplying the probabilities of each roll by the amount won or lost with each roll.
The odd rolls are 1, 3 and 5. The probability of rolling a 1 is 1/6, and the value is 1; this gives us 1/6(1) = 1/6.
The probability of rolling a 3 is 1/6, and the value is 3; this gives us 1/6(3) = 3/6.
The probability of rolling a 5 is 1/6, and the value is 5; this gives us 1/6(5) = 5/6.
Rolling any even number gives us the same value. The probability of rolling an odd number is 3/6, and the value is -4; this gives us 3/6(-4) = -12/6.
Together we have
1/6+3/6+5/6-12/6 = 4/6+5/6-12/6 = 9/6-12/6 = -3/6 = -0.5