On an American League baseball team with 15 field players and 10 pitchers, the manager must select for the starting line-up, 8 field players, 1 pitcher and 1 designated hitter. A starting line-up specifies the players for these positions and the positions in a batting order for the 8 field players and designated hitter. If the designated hitter must be chosen among all the possible field players, how many possible starting line-ups are there.

Answers

Answer 1

Answer:

There are 18,162,144,000 possible starting line-ups

Step-by-step explanation:

The order in which the player are chosen is important, as if two player exchange places, we have a new batting order. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

Batting order:

9 batters(8 field + the designated hitter) from a set of 15. So

[tex]B = P_{(15,9)} = \frac{15!}{(15-9)!} = 1816214400[/tex]

Pitcher:

1 from a set of 10. So

[tex]P = P_{(10,1)} = \frac{10!}{(10-1)!} = 10[/tex]

Total:

[tex]T = B*P = 1816214400*10 = 18162144000[/tex]

There are 18,162,144,000 possible starting line-ups


Related Questions

The perimeter of a rectangle is 32 meters. The length is 5 less than twice the width. Find the length and the width of the rectangle.
length:___ Width:____

Answers

Let x and y be the length and width of the rectangle respectively
2(x+y)=32...(1)
x=2y-5...(2)

From (1),we have
2x+2y=32...(3)

By sub.(2) into (3),we have
2(2y-5)+2y=32
4y-10+2y=32
6y=42
y=7

By sub.y=7 into (2),we have
x=2*7-5
x=14-5
x=9

Length =9m
Width =7m

Add 3 to the product 10 and 4

Answers

Answer:

The product of" , means multiply , the product of 10 and 4 is 40 , plus 3, 43?

The solution of the expression is,

⇒ 43

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ Add 3 to the product 10 and 4

Now, We can simplify as;

⇒ 3 + (10 × 4)

⇒ 3 + 40

⇒ 43

Thus, The solution of the expression is,

⇒ 43

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

1) Which is the slope in the following linear equation?
y= 7x + 3
A. 3
B. 11
C. 7
D. 4

Answers

Answer:

C. 7

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

y = 7x + 3

Step 2: Break Function

Identify Parts

Slope m = 7

y-intercept b = 3

What is the value of the constant in the equation that relates the height and
width of this rectangle?

Answers

Answer:

The answer is A

30

PLEASE HELP ASAP 10+ PTS!!

Answers

Answer:

(x,y) = (25,15)

Step-by-step explanation:

In a parallelogram, alternate angles are equal, so

[tex]\left \{ {{3x-8=4y+7} \atop {4x+13=5x-12}} \right.[/tex]

From the latter equation we obtain [tex]x= 13 + 12 = 25[/tex]. So substituting in the former equation gives

[tex]75-8 = 4y + 7\\4y = 60\\y = 15[/tex]

There are 18 boys in a class. There are a fewer boys than girls. How many students are there?

Answers

There has to be at least 37 students because if less boys then girls that means there are at least 19 girls so 18+19= 37

Which figure best represents a rhombus?

Answers

Answer:

it's the second one a rhombus is a diamond

It’s the first one I believe

When you multiply a given fraction by a factor greater than 1, the product will (always, sometimes, never) be less than the given fraction

Answers

9514 1404 393

Answer:

  sometimes

Step-by-step explanation:

For positive numbers, multiplying by a factor greater than 1 increases their value:

  (1/2) × 2 = 1 > 1/2

For negative numbers, multiplying by a factor greater than 1 decreases their value:

  (-1//2) × 2 = -1 < -1/2

So, "sometimes" the product will be less than the given fraction.

please helppp me on this math question ​

Answers

Answer:

C=F/M

C=2640/75

C=35.20

$35.20 Per Band Member

Step-by-step explanation:

C= Cost Per Band Member

F = Food and Bus Cost

M = Band Members

Answer:

The answer is 32.2 (35 with ramainder of 15)

Step-by-step explanation:

THE ANSWER IS 35 WITH REMAINDER OF 15

Suppose that a box of 86 circuits is sent to a manufacturing plant. Of the 86 circuits shipped, 5 are defective. The plant manager receiving the circuits randomly selects 2, without replacement, and tests them. If both circuits work, the manager will accept the shipment. Otherwise the shipment is rejected. What is the probability that the shipment is accepted

Answers

Answer:

the probability that the shipment is accepted is 0.8865

Step-by-step explanation:

Given the data in the question;

N = 86,  n/d = 5 and n = 2

now, without replacement

the probability that the shipment is accepted will be;

probability that the shipment is accepted = probability that non is defectives

so p( non is defective ) = ( (86-5)/86) × ((86-5-1)/(86-1))            

p( non is defective ) =  ( 81 / 86) × (80/85)

p( non is defective ) =  0.8865

Therefore, the probability that the shipment is accepted is 0.8865

Will give brainlest if right! Two plus two?

Answers

4??? fish??? if it's a trick question, then the answer is probably fish :o)
It equals number 4 :)

Which statements are correct based on the graph? Select all that apply.
BCDE is rotated 90° to form JKLM.
PQRS is rotated 90° to form JKLM.
BCDE is rotated 180° to form JKLM.
JKLM is rotated 180° to form BCDE.
PQRS is rotated 180° to form BCDE.

Answers

Answer:

2,3,4

Step-by-step explanation:

hope this helps=D

Answer:

B,C,D

Step-by-step explanation:

The probability that it will rain tomorrow is 0.65

What is the probability that it will not rain tomorrow?

Answers

0.65 = 65% SO THE ANSWER IS 0.45 or 45%

Answer:

.35%

Step-by-step explanation:

100% - .65% = .35%

and sorry for asking but, if this is right could i please get a thanks & brainliest recently a moderator deleted ALL my answers (over 400 answers) causing me to lose over 3k points so id appreciate it alot thanks xoxo

Write an absolute value equation for the following graph *picture attached *

Answers

Answer:

What is the difference between the absolute values of 3 and  9?

Step-by-step explanation:

Absolute value of 3: 3

Absolute value of 9: 9

9 - 3 = 6

I dont know if this helped but im hoping it does

How many pizza can be bought with 125$

Answers

Answer:

depends how much the pizza is

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Can you put a picture to help

a) Expand and simplify (4x + 3)(2x - 5)

Answers

Answer:

8x² - 14x - 15

Step-by-step explanation:

(4x + 3)(2x - 5)

8x² - 20x + 6x - 15

8x² - 14x - 15

Answer:

Step-by-step explanation:

Use FOIL, first outside inside last.

4x*2x - 5*4x + 3*2x - 3*5

[tex]8x^2-20x+6x-15\\8x^2-14x-15\\[/tex]

hi i need help please:))​

Answers

Answer:

i got 96

Step-by-step explanation:

you have to find the unit rate for 1 driveway and times that by 12

32 divided by 4 is 8

8 x 12 is 96

hope this helps :)

Given f(x) = 7x^9, find f^-1 (x). Then state whether f^-1 (x) is a function

Answers

A though without graphing software it would appear to be C


Step-by-step explanation:
The inverse of a function is the function reflected across the line y=x. This results in the coordinate points (x,y) of the function becoming (y,x) for the inverse function. Algebraically to find the inverse, switch the x and y locations and solve for y.
y = 7x^9
x = 7y^9
x/7 = y^9
(9)√(x/7) = y
This is a ninth root of (x/7) also written in exponents as y = (x/7)^(1/9).
This is a function. While it appears not to be a function because the middle portion over the origin appears vertical, it is a function because the middle portion over the origin is changing and graphing software shows it has no input with more than one output. Without graphing software you would rule it is not a function.

3 35/44 as a decimal

Answers

Answer:

3.79545454545 or 3.7954 with a little line over the 54 showing its repeating.

Answer:

Step-by-step explanation:

Your decimal will be 3.6 because to convert 3 33/55 into decimal:

Step 1: Divided the numerator 33 divided by the denominator 55 33 divided by 55 = 0.6.

Step two: add 0.6 to the integer part. 3 + 0.6 = 3.6

So 3 33/55 as a decimal is 3.6

Here’s the rounded value also:

3 33/55 = 4 rounded to 0 decimal places.

will mark brainliest need answer asap first person to answer gets brainliest

Answers

Answer:

A= [tex]4x+8[/tex]

B= [tex]8x+6x \\or\\ 16x[/tex]

C= [tex]8x+12[/tex]

D= [tex]6x+6y+6z[/tex]

Step-by-step explanation:

Distributing, or the means to divide something/create a share or part of something is when we multiply the sum of two or more addends by a number to achieve the same result as multiplying each addend individually by the number then adding the products together.

With this said, part A would look like this:

[tex]4(x+2)\\4(x) + 4(2) = ?\\4x + 8[/tex]

Now, the problem doesn't specifically state to solve the problem, but if you wanted too it would look like this:

[tex]4x + 8=0\\-8 \\4x=-8\\divide 4\\4=GCF\\x=-2[/tex]

Since we are just looking for the equation, the following problems would appear as so:

B:

[tex](6+8)*x\\x(8) + x(6)\\8x+6x\\14x[/tex]

C:

[tex]4(2x+3)\\4(2x)+4(3)\\8x+12[/tex]

D:

[tex]6(x+y+z)\\6(x) +6(y)+6(z)\\6x+6y+6z[/tex]

Another way to view the distributive property is that your distributing the number outside the parenthesis to all the number inside as such.

I would be happy to help you again in the future and hope that this provided you with some clarification! Have a nice day! :D

Suppose that a balanced, six-sided die has been altered so that the faces are 1, 2, 3, 4, 5, and 5. If the die is tossed five times, and the number on the uppermost face is recorded each time, what is the probability that the numbers recorded are 1, 2, 3, 4, and 5 in any order

Answers

Answer:

0.0309

Step-by-step explanation:

Faces on dice ( 1, 2, 3, 4, 5, 5)

Number of outcomes = 6

With 5 repeated twice

P(event A) = Required outcome / Total possible outcomes

Required outcome :

Number of 5's = 2 * distinct faces!

Required outcome = 2 * 5! = 2 * 120 = 240

Total possible outcomes = (number of faces)^distinct Numbers = 6^5 = 7776

Required / total possible = 240 / 7776

= 0.0308641

= 0.0309

Calculate and write your answer in standard form.

(7x10^-4) divided by(4x10^4)
I
Enter your math answer

Answers

1.75 x 10^-3
hope that helps

Write an equivalent fraction to 3/7 that has a denominator of 28.

Answers

answer is

[tex] \frac{12}{28} [/tex]

12/28 will be the answer

5.6 is what percent of 70?

Answers

Answer:

8%

cba to explain loolll

Carlos paid an electrician x dollars per hour for a 4-hour job and $85 for parts. The total charge was $305. Which equation can be used to determine how much the electrician charged per hour?

Answers

Answer:

55

Step-by-step explanation:

The equation would be:

305=85+4x

220= 4x

x= 55

Answer: 4x + 85 = 305

To get your answer you just have to subtract 85 from 305 (I believe) and then divide what you got by four :)

Step-by-step explanation:

1 ½ - 6/10 =
HELP PLS

Answers

Answer:

0.9

Step-by-step explanation:

1 1/2 = 1.5

6/10 = 0.6

1.5 - 0.6 = 0.9


b + 12=16; 2,3,4
What’s number 1

Answers

Answer:

4

Step-by-step explanation:

4+12 = 16

I’m guessing 4 is the answer lolllllll

A store is instructed by corporate headquarters to put a markup of 25​% on all items. An item costing ​$16 is displayed by the store manager at a selling price of ​$4. As an​ employee, you notice that this selling price is incorrect. Find the correct selling price. What was the​ manager's likely​ error?

Answers

Answer:

$20

Step-by-step explanation:

the manager's error could likely be putting the percentage mark up rather than the markup price added to the original price

25%×16

= $4

mark up price= (16+4)$

= $20

Apply the distributive property to factor out the greatest common factor. 21e + 35 = ​

Answers

Answer:

7(3e+5) alternative form 92.08392

Step-by-step explanation:

Other Questions
el nitogeno es un gas que se utiliza para conservar embrion su temperatura es de 150 c calcula esta temperatura en k y f esto es quimica Kala will rent a car for a day. The rental company offers two pricing options: Option A and Option B. For eachpricing option, cost (in dollars) depends on miles driven, as shown below.no 1Option AOption 3Cost10(in dollars)TOMiles driven5?(a) If Kala drives the rental car 300 miles, which option costs more?Option A Option BHow much more does it cost than the other option?so(b) For what number of miles driven do the two options cost the same?If Kala drives more than this amount, which option costs more?Option A Option B A pair of shoes is on sale for 80% of the original price. The saleprive is $60. What was the original price? How did Oklahoma assist British and European militaries?A They provided prisoner of war camps.B They created and ran flight training facilities.C They stayed out of the way of conflicts. D They built bases to house injured European soldiers. John drove to visit his grandmother. To get there, he drove 157.5 miles on the highway and a few miles further on city streets. The highway part of his drive took him 2.5 hours. If John drove at a steady pace, how fast did he drive on the highway? i need help will give crown The point (4, -2) is reflected over the y-axis. What are the coordinates of its image? Which sentence contains a METAPHOR? * WILL GIVE Brainiest TO THE CORRECT ANSWERTessa loves tongue twisters.Everyone knows thats not a good idea, Tom replied.Your plan is a recipe for disaster, Jake told his friend.None of the above A new vending machine costs $4,500.00 and it is on sale for 10%. What is the price of the vending machine after the discount is applied? I literally have no clue how to do this. what is a narrative. i would like to know the answer According to the Rand Corporation, what happened to the real income of the bottom tenth of American families between 1973 and 1995? Jeremy wants to verify that the transformation shown is a dilation. He finds the lengths of segments QA and AD to be 4 units.Point Q is the center of dilation. Triangle A B C is dilated to create triangle D E F. The length of Q A is 4 and the length of A D is 4. To verify that the transformation is a dilation, Jeremy should also check which of the following? Select three options.QB = One-halfQEQC = CFDE = 2ABAC = One-halfEFif BC = 2.25, then EF = 2.25 Geoff earns 10% commission on his total sales at work.Part A: Suppose Geoffs sales totaled $895 last week. How much did he earn in commission? A. $89.50 B. $984.50 C. $903.95 D. $8.95Activity 2 of 2Part B: To pay for a concert ticket, Geoff needs to earn $135 in commission. What must Geoffs sales total for the week? A. $13.50 B. $1,350.00 C. $135.00 D. $13,500.00 Which rational number is less than 4/9 78 x 92 rounding to 1 significant figure PromptUsing complete sentences post a detailed response to the following.While visiting a friends house, you hear their siblings arguing over whether or not visual novels are real games or not. You hear Boris, the older sibling, saying and you just sit there and click to read the next lineyou might as well be reading a comic book and turning a page and call that a game! When they find out youve been taking a class on game design, they ask you to settle the argument for them. What would you say to them? Can you guys help me pass this test? Please!! An object has a mass of 100kg and a volume of 10m^3.What is its density?SHOW WORK FOR FULL CREDIT Which of the following best describes a tropical rainforest?A dense thick soil that support a dense layer of plants on the forest floor B Species of animals which specialized ways are surviving in order to avoid competitionD plants and animals that are very similar do to-year around one in the mostureE zebras Giselles and polar bears usually lives in the buying