The probability of you being the leadoff hitter is 8.3%.

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 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 = 6652800

The probability of you being leadoff is:
P = You leadoff / Possible rosters
 = 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.

3 0

2 years ago

What is the surface area of the figure 8" 8" 12"

fgiga [73]

First, find the surface area of the bigger sides (there are 4 of them so what you get for one you will multiply by 4)

12 x 8 = 96

96 x 4 = 384

Then find the surface area of the smaller sides ( there are two small sides so multiply your answer by two)

8 x 8 = 64

64 x 2 =128

Then add both together

128 +384 = 512

Hope this helps :)

3 0

2 years ago

A rectangle has a length that is three feet more than twice it's width. The perimeter of the rectangle is 78 feet. State the val

ivann1987 [24]

Let the width of the rectangle be 'w'

According to the question length of the rectangle (l) is three feet more than twice it's width;

$\longrightarrow$ l = (2w + 3) ft

Perimeter of rectangle = 78 ft

Formula of perimeter of rectangle = 2(Length + Width)

So,

$\rm \implies 2(Length + Width) = 78 \\ \\ \rm \implies 2(2w + 3 + w) = 78 \\ \\ \rm \implies 2(3w + 3) = 78 \\ \\ \rm \implies 2 \times 3(w + 1) = 78 \\ \\ \rm \implies 6(w + 1) = 78 \\ \\ \rm \implies w + 1 = \dfrac{78}{6} \\ \\ \rm \implies w + 1 = 13 \\ \\ \rm \implies w = 13 - 1 \\ \\ \rm \implies w = 12 \: ft$

$\therefore$ Width of the rectangle (w) = 12 ft

3 0

2 years ago