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
Answer:
1/5
Step-by-step explanation:
There are 3 numbers of less than 4 (1, 2 and 3) and there are 2 multiples of 9 (9 and 18). So there are 5 favourable outcomes and 25 possible outcomes. So you put 5/25 and cancel down, which makes 1/5. I hope this helps!
Answer:
Option B. minimum is correct for the first blank
Option C. 6 is correct for second blank.
Step-by-step explanation:
In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.
Given function is:

Taking first derivative

Now the first derivative has to be put equal to zero to find the critical value

The function has only one critical value which is 5.
Taking 2nd derivative


As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5
The value can be found out by putting x=5 in the function

Hence,
<u>The function y = x 2 - 10x + 31 has a minimum value of 6</u>
Hence,
Option B. minimum is correct for the first blank
Option C. 6 is correct for second blank.
Answer:
I think the answer is B. f(x) = -1/3x - 4
Step-by-step explanation:
Use the given functions to set up and simplify
4−16.
XF(x)=X
Fx
1 − 7 = −6
2 − 10 = −8
3 − 13 = −10
4 − 16 = −12