Help out omggggg !!!!!!

A baseball coach needs to choose 99 players to be in the batting lineup for the next game. There are 44 freshmen, 44 sophomores,

Bas_tet [7]

Answer:

The number of ways the batting line up can be made is 3,851,971,200 ways.

Step-by-step explanation:

The coach of the baseball team needs to choose 9 players for the batting lineup.

He can choose from a total of 4 freshmen, 4 sophomores, 5 juniors and 4 seniors for the team.

He has to choose the team so that there at most 2 juniors on the lineup.

The total number of available player who are not juniors is 4 + 4 + 4 = 12

i) If the coach selects no juniors then there are 9 positions to fill up and

since the batting order is not specific so these 9 players can be selected

from 12 players = $\binom{12}{9}$ = 220 ways

ii) If the coach selects one junior then there are other 8 other positions to

fill up from 12 players and one junior is to be selected from 5 juniors

= $\binom{12}{8} \times \binom{5}{1} = 2475$

iii) If the coach selects two juniors then there are other 7 other positions to

fill up from 12 players and two juniors are to be selected from 5 juniors

= $\binom{12}{7} \times \binom{5}{2} = 7920$

So the ways of selecting the players is = 220 + 2475 + 7920 = 10615 ways

Since there is no specific order to the batting line up the number of ways the batting line up can be made = 9! × 10615 = 3,851,971,200 ways.

8 0

3 years ago

Maya has $210 in a savings account for a new computer the computer cost $537.15 including sales tax. At the end of each week she

alisha [4.7K]

The number of weeks required to have enough money in account to buy computer is 12

Solution:

Given that Maya has $210 in a savings account for a new computer the computer cost $537.15 including sales tax

At the end of each week she deposits $27 into the account

To find: number of weeks required to have enough money in the account for the computer

Total cost of computer = $ 537.15

Amount in savings account = $ 210

Let "a" be the number of weeks required to have enough money in account to buy computer

Each week she deposits $27 into the account

So we can we frame a equation as:

total cost of computer = Amount in savings account + (number of weeks x 27)

$537.15 = 210 + a \times 27\\\\537.15-210 = 27a\\\\27a = 327.15\\\\a = 12.11$

$a \approx 12$

Thus number of weeks required is 12 approximately

3 0

3 years ago

Find a polar equation for the curve represented by the given cartesian equation. X2 + y2 = 2cx

Tanzania [10]

Hi,

Work:

Equation;

$x2 + y2 = 2cx$

Factor out 2x from expression.

$2x \times (1 + yc)$

Use commutative property to reorder yc.

$2x \times (1 + cy) \: \: \: \: \: \: \: \: \: \: \: \: \: result$

Hope this helps.
r3t40

4 0

3 years ago

A second important result is that electrons will fill the lowest energy states available. This would seem to indicate that every

Assoli18 [71]

Answer:

8

Explanation:

1) Principal quantum number, n = 2

n is the principal quantum number and indicates the main energy level.

2) Second quantum number, ℓ

The second quantum number, ℓ, is named, Azimuthal quantum number.

The possible values of ℓ are from 0 to n - 1.

Hence, since n = 2, there are two possible values for ℓ: 0, and 1.

This gives you two shapes for the orbitals: 0 corresponds to "s" orbitals, and 1 corresponds to "p" orbitals.

3) Third quantum number, mℓ

The third quantum number, mℓ, is named magnetic quantum number.

The possible values for mℓ are from - ℓ to + ℓ.

Hence, the poosible values for mℓ when n = 2 are:

for ℓ = 0: mℓ = 0

for ℓ = 1, mℓ = -1, 0, or +1.

4) Fourth quantum number, ms.

This is the spin number and it can be either +1/2 or -1/2.

Therfore the full set of possible states (different quantum number for a given atom) for n = 2 is:

(2, 0, 0 +1/2)
(2, 0, 0, -1/2)
(2, 1, - 1, + 1/2)
(2, 1, -1, -1/2)
(2, 1, 0, +1/2)
(2, 1, 0, -1/2)
(2, 1, 1, +1/2)
(2, 1, 1, -1/2)

That is a total of 8 different possible states, which is the answer for the question.

8 0

3 years ago

Rico paid $180 sales tax on his new $2,400 motorcycle. What was the sales tax percentage rate where he bought his motorcycle?

Artemon [7]

Answer:

it is 7.5 rate

Step-by-step explanation:

I used a calculator to get the answer and it is correct.

4 0

2 years ago