I am Pat, Good Legs Lance, and Colorado Bronze are horses in a horse race. Their probabilities of winning the race are as follows:
\text{P(I Am Pat wins}) = \dfrac{3}{10}P(I Am Pat wins)=
10
3

start text, P, left parenthesis, I, space, A, m, space, P, a, t, space, w, i, n, s, end text, right parenthesis, equals, start fraction, 3, divided by, 10, end fraction
\text{P(Good Legs Lance wins}) = 0.6P(Good Legs Lance wins)=0.6start text, P, left parenthesis, G, o, o, d, space, L, e, g, s, space, L, a, n, c, e, space, w, i, n, s, end text, right parenthesis, equals, 0, point, 6
\text{P(Colorado Bronze wins}) = 10\%P(Colorado Bronze wins)=10%

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length

answer: the four apples you took away.

step-by-step explanation:

answer:

probably the same as it is today since you did not eat the corn dogs yet

step-by-step explanation:

a) 40 more; b) old factory:   10%, new factory:   16%; c) week 4

explanation:

a) at week 0, we see in the graph that the new factory produces 190 specialty items.  

using the function, substituting 0 in for w,

this is a difference of 230-190 = 40.

b) the function for the old factory is written in the form f(x) = a(1+r)ˣ, where a is the original amount, x is the amount of time and r is the growth rate.   the equation for the old factory is ; 230 is in place of a and is the original amount; w is the amount of time; which means 1+r = 1.1.   this means that r must be 0.1 or 10%.

for the new factory, we find the percent of increase to find the growth rate; the formula for this is

between the first two points, the amount of change is 220-190 = 30; this gives us

30/190 = 0.158 ≈ 0.16 = 16%

c) at week 0, the old factory has 230 while the new factory has 190.

at week 1, the old factory has 230(1.1) = 253 while the new factory has 220.

at week 2, the old factory has 230(1.1²) = 278.3 while the new factory has 252.

at week 3, the old factory has 230(1.1³) = 306.13 while the new factory has 290.

at week 4, the old factory has 230(1.1⁴) = 336.743 while the new factory has 337.   this is the first week that the new factory surpasses the old.