Find US, find MN, find YZ

A roster for a baseball team has 12 players. the coach is randomly making the batting order for 9 players. what is the probabili

andrey2020 [161]

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

3 years ago

Answers for the 2 boxes please:)

masha68 [24]

Answer:

(5,-5)

Step-by-step explanation:

Eliminate y-term

$(2x + 5x) + ( - 3y + 3y) = 25 + 10 \\ 7x = 35 \\ x = \frac{35}{7} \\ x = 5$

We can eliminate x-term but for this system of equations, eliminating y-term is faster.

Substitute x = 5 in any given equations.

I will choose to substitute in the first equation.

$2x - 3y = 25 \\ 2(5) - 3y = 25 \\ 10 - 3y = 25 \\ 10 - 25 = 3y \\ - 1 5 = 3y \\ 3y = - 15 \\ y = - 5$

Answer Check

Substitute both x-value and y-value in any given equations

$2x - 3y = 25 \\ 2(5) - 3( - 5) = 25 \\ 10 + 15 = 25 \\ 25 = 25$

The equation is true. (It is better to check both the answer for both equation.)

Thus the answer is (5,-5)

6 0

3 years ago

How do you do division/long division? I was never taught how, and now I am struggling with it. Please answer thoroughly, thanks

grin007 [14]

Answer:

See attached picture for example, hope it helps!

Step-by-step explanation:

4 0

2 years ago

State the Midpoint formula?

kipiarov [429]

Let point A (x₁, y₁) and point B (x₂, y₂)

Mid-point formula is given by: $[ \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}]$

The distance formula is given by: $\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

The two formula are alike because they both need the information of two coordinate points

They are different because the mid point formula is adding up then divide by two, whereas the distance formula is subtracting then square the answer.

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Real life problem involving distance formula:

Plane A is spotted on a radar with cartesian coordinate (450, 640).
Plane B is spotted on the same radar with cartesian coordinate (350, 540)

Work out the distance between plane A and plane B.
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Real life problem involving mid point formula

Ms. Holland arranges a treasure hunt for a group of scouts. She marks two points, C and D, with cartesian coordinate (-5, 6) and (7, 10) respectively. The clue is that the treasure is buried in the middle point between C and D. Work out the coordinate where the treasure is buried.

8 0

3 years ago

A cone where the angle of vertex is 2pi/3. Fill in the blanks found in the attachment.

Firdavs [7]

As far as I understand, you've made two mistake which do not satisfy your task. Well, I seggest you adding b = 2pi/3 to the first gap instead of what you add in the previous effort. Then, to solve the next part, I would change f on 8/sqrt(3)*cospi
I bet that this answer will sort everything out. Regards!

4 0

3 years ago