Answer:
A
Step-by-step explanation:
Hello, please consider the following.
So the correct answer is the first one A.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
See explanation below
Step-by-step explanation:
The Roman Numeral MCM means 1900.
The first M is 1000, CM means 900 ==> 1000 + 900 = 1900
The probability of you being the leadoff hitter is <span>8.3%.</span>
Explanation:
The number of possible rosters can be calculated with permutations, knowing that the coach can choose the first hitter among all 12 players, then the second hitter among the 11 players remaining and so on until the 9th hitter among the remaining 4 players.
Therefore:
Possible rosters = 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 = 79833600
The leadoff hitter is the first player in the batting order, therefore the number of possible rosters in which you are chosen as the first one is:
You leadoff = 1 <span>× 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 = 6652800
The probability of you being leadoff is:
P</span> = You leadoff / <span>Possible rosters
</span> = 6652800 / 79833600
= 1 / 12
= 0.08333
= 8.3%
Note that this is exactly the probability of you being chosen out of the 12 players of the team in a one-pick choice because it does not matter how the rest of the batting order is composed.
Answer:
2, 1, 3, 4, 6, 5
Step-by-step explanation:
The rate of change of function f(x) on an interval [a, b] is defined as ...
average rate of change = (f(b) -f(a))/(b -a)
For the function h(x) = 2^-x, this will be ...
arc = (h(b) -h(a))/(b -a) = (2^-b -2^-a)/(b-a) = (2^-a)(2^(a-b) -1)/(b -a)
__
1. For the interval [0, 2], the average rate of change is ...
arc = (2^-0)(2^(0-2) -1)(2 -0) = (1/4 -1)/2 = -3/8 = -0.375
1 goes in the 2nd answer blank
2-6. For the other intervals, it is convenient to let a calculator or spreadsheet compute the values. The average rates of change are shown in the attachment.
