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storchak [24]
3 years ago
7

The positions on a lacrosse team are called defenders (D), midfielders (M), and attackers (A). One player is chosen at random to

lead the team in
exercises before each game. The letters MDD mean that a midfielder was chosen at the first game and a defender was chosen at the next two
games. The list of all possible outcomes is shown, where each outcome has equal probability of occurring.
AAA AMA ADA
MAA
MDA DAA DMA DDA
AAM AMM ADM MAM MMM MDM
DMM DDM
AAD AMD ADD MAD MMD MDD DAD DMD DDD
MMA
DAM
What is the probability that a defender is chosen at least once, given that a midfielder is chosen at the first game?

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
6 0

Answer: DAM

Step-by-step explanation:

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Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four
gregori [183]

Answer and step-by-step explanation:

For any rectangle, the one with the largest area will be the one whose dimensions are as close to a square as possible.

However, the dividers change the process to find this maximum somewhat.

Letting x represent two sides of the rectangle and the 3 parallel dividers, we have 2x+3x = 5x.

Letting y represent the other two sides of the rectangle, we have 2y.

We know that 2y + 5x = 750.

Solving for y, we first subtract 5x from each side:

2y + 5x - 5x = 750 - 5x

2y = -5x + 750

Next we divide both sides by 2:

2y/2 = -5x/2 + 750/2

y = -2.5x + 375

We know that the area of a rectangle is given by

A = lw, where l is the length and w is the width.  In this rectangle, one dimension is x and the other is y, making the area

A = xy

Substituting the expression for y we just found above, we have

A = x(-2.5x+375)

A = -2.5x² + 375x

This is a quadratic equation, with values a = -2.5, b = 375 and c = 0.

To find the maximum, we will find the vertex.  First we find the axis of symmetry, using the equation

x = -b/2a

x = -375/2(-2.5) = -375/-5 = 75

Substituting this back in place of every x in our area equation, we have

A = -2.5x² + 375x

A = -2.5(75)² + 375(75) = -2.5(5625) + 28125 = -14062.5 + 28125 = 14062.5

6 0
3 years ago
A triangle has one side that is 5 inches long and the other two sides are both of length x. Write an expression for the perimete
earnstyle [38]

Let P = perimeter

P = 3x + 5

Let x = 10

P = 3(10) + 5

P = 30 + 5

P = 35

4 0
3 years ago
Please anyone help me
Ksju [112]

Answer:

-52

Step-by-step explanation:

plug 2 into u(x) which is equal to

2(5) + 1= 5

plug 5 into w(x) which is equal to

-2(5^2) - 2

-2(25) - 2

-50 - 2 = -52

3 0
3 years ago
What is the value of [-4.6]
solniwko [45]
<h2>Answer:</h2>

              The value is:

                      -4

<h2>Step-by-step explanation:</h2>

We are asked to find the value of the ceiling function: \left \lceil -4.6 \right \rceil

As we know that the ceiling function always occupy the higher value in integers.

i.e. the ceiling function act as follows:

it takes value 0 when   -1< x≤0

                       1 when  0 < x ≤ 1

                       2 when  1 < x ≤2

and so on.

As we know that:

            -4.6 lie between -5 and -4.

            Hence, we have:

            \left \lceil -4.6 \right \rceil=-4

7 0
3 years ago
Read 2 more answers
2.) What is the
GuDViN [60]
The probability would A.) 5/6
4 0
3 years ago
Read 2 more answers
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