Answer:
0.33
Step-by-step explanation:
Let A denote an event. The odds of the horse finishing second is 33 to 67.
From the information, the total outcomes of event A is:

Hence, there are 100 total outcomes. The probability of the horse finishing second is calculated as:

Hence, the probability of finishing second is 0.33
9!/(8!*(9-8)!)=9
or just use a calculator and use the nCr function
Answer:
Rate = 6.56%
Step-by-step explanation:
Principal (P) = $5000
Interest (I) = $6312
Time (T) = 4 years
Rate (r) = ?
This question is involves simple interest and with the formula, we can easily plug in the values to find the rate.
S.I = P(1 + rt)
S.I = simple interest
P = principal
R = Rate
T = Time
6312 = 5000(1 + r*4)
6312 = 5000 + 5000*4r
6312 - 5000 = 20000r
1312 = 20000r
r = 1312 / 20000
r = 0.0656
Rate are calculated in percentage hence we'll multiply it by 100
R = 6.56%
Answer:
0.7
Step-by-step explanation:
10y = 7x + 5
Divide both sides by 10.
y = 7x/10 + 5/10
y = 0.7x + 0.5
On a straight line of the form y = kx + m, k is the slope of the line.
In our line, y = 0.7x + 0.5, k is 0.7. Thus, the slope of our function is 0.7
Answer: 0.7
Answer:

Step-by-step explanation:
The given absolute value function is

This is the base or the parent function.
The transformation
will shift the parent function b units to the left and c units up.
From the question, b=4 units and c=2 units.
The new equation is 