The coach of a softball team has 8 good hitters and 9 poor hitters. He chooses 5 hitters at random.In how many ways can he choose 4 good hitters and 1 poor hitter?

Answers

Answer 1

Answer:

He can choose 4 good hitters and 1 poor hitter in 630 different ways.

Step-by-step explanation:

The order in which the hitters are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

In how many ways can he choose 4 good hitters and 1 poor hitter?

4 good hitters from a set of 8.

1 poor hitter from a set of 9. So

[tex]T = C_{8,4}*C_{9,1} = \frac{8!}{4!(8-4)!}*9 = 630[/tex]

He can choose 4 good hitters and 1 poor hitter in 630 different ways.

Related Questions

I NEED HELP PLS I FORGOT HOW TO DO THIS HELP

Answers

Answer:

Step-by-step explanation:

how many shapes of size A are in B ?

I counted 9.5

then just multiply the count * the size of A

got it?

Answer: 28.5cm²_____________________

Step-by-step explanation:

area of shape A = 3cm²

number of A shape in shape B = 9 and half

1 shape A = 3cm²

9 shape A = 3×9 = 27cm²

1 half shape A = 3 ÷ 2 = 1.5cm²

area of shape B = 27cm² + 1.5cm² = 28.5cm²

_____________________Follow me

What is f(6)?
f(x) = 5x - 2

Answers

Answer:

f(6) = 28

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

f(x) = 5x - 2

f(6) is x = 6

Step 2: Evaluate

Substitute in x [Function]: f(6) = 5(6) - 2Multiplication: f(6) = 30 - 2Subtraction: f(6) = 28

Answer: 28

=========================================================

Explanation:

Everywhere you see an x, replace it with 6

f(x) = 5x - 2

f(6) = 5*6 - 2

f(6) = 30 - 2

f(6) = 28

Remember that 5x is the same as 5*x or "5 times x". So that's why 5x turned into 5*6 after replacing x with 6. After every x is replaced, you follow the order of operations PEMDAS to simplify.

combine like terms y+3+4(y+4)

please show your work

Answers

Answer:

y+3+4y+16 : Apply the distributve property

5y+19 : Add the like terms

Hope this was helpful!

Can u guys pls help me on this question and pls explain how u got the answer

Answers

Answer:

Surface area : 143.1

Step-by-step explanation:

Ok so first,

Bottom : 35.1 ft

Front : 36

Right side : 36

Left side : 36

Write a problem that uses a fraction greater than 1?

Answers

Answer:

3/2+3/2=3. Does this help? If not then I sincerely apologize- ^^". Please inform me if this is incorrect or not helpful

Step-by-step explanation:

PLEASE HELP WITH EXPLANATION

Mary always saved 45% of his salary. When his salary decreased by 20% in April, his savings decreased by $180.
How much was Mary’s salary before the decease?

Answers

Answer:

Step-by-step explanation:

Answer:

Is Mary a guy? :|

Step-by-step explanation:

I did this by just a good guess , not really the right way

2000*.45=900 ( 900 is the old savings)

2000*.2 =400 ( how much her salary went down by )

2000-400=1600 ( new salary )

1600*.45 = 720 ( 45% of new salary is new savings

900-720=180 ( change in savings is 180 , the amount the question asks for)

Mary's old salary was 2,000

divisibility test for 10

Answers

Answer:

uhhh what am i supposed to answer

Step-by-step explanation:

Answer:

last digit should be 0 for example 20,30,40 they have last digit 0 hence they are divisible by 10

29% of a university's freshman class are majoring in Economics. If 870 students in the freshman class are Economics majors, how many students are in the freshman class?

Answers

Answer:

x=3000

Step-by-step explanation:

870=29/100x

x=3000

How do I do a fraction number line

Answers

A.)
1. 2/5 5/5
2. 2/11 5/11 7/11 8/11 9/11
3. 0 3/8 6/& 7/8
B.)
1. U = 7/9 V = 6/9 W = 3/9
2. B = 1/10 A = 5/10 C = 9/10

is (24, 7, 25) a Pythagorean triple?

Answers

is (24, 7, 25) a Pythagorean triple?

Step-by-step explanation:

Please help!! Thank you

Answers

9514 1404 393

Answer:

938 feet

Step-by-step explanation:

The diagonal is the hypotenuse of a right triangle with side lengths 900 ft and 264 ft. The Pythagorean theorem tells you how to compute its length.

d² = 900² +264² = 879,696

d = √879,696 ≈ 937.92 . . . . feet

They would walk about 938 feet.

1.What is a tautology?

Answers

Answer:

the saying of the same thing twice in different words, generally considered to be a fault of style (e.g., they arrived one after the other in succession ).

What is the value of x in the equation –2.4x = 8.4? –20.16 –3.5 3.5 20.16

Answers

Answer: it’s 3.5

Step-by-step explanation:

Solve the equation: 25-3x=40

A. -15
B. -5
C. -2
D. -4

Answers

B) -5

25-3x=40
-3x=15
x=-5

Isolate the variable by dividing each side by factors that don't contain the variable.
-5

a triangle has angles that measure 85 degrees and 37 degrees what is the measure of the third angle

Answers

Answer:

Step-by-step explanation:

Answer:

58 degrees

Step-by-step explanation:

180-85-37 = 58

You downloaded a game to your computer. You have a 7575 -minute free trial of the game. It takes 6 minutes to set up the game and 77 minutes to play each level. How many levels you can play for free? PLZ HURRY AND HELP ME

Answers

Answer 98 or 98.2 levels

What number would go in the boxes to have the sum of 4?

Answers

Answer:

2.964 is the answer.

Does 3/10 x 1/2 = 3/20 ?

Answers

Answer:

Yes

Step-by-step explanation:

yes, yes it does

yeah it does, you just multiply the numerators and the denominator

In a survey at a local university, 38% of students say that they get less than the recommended eight hours of sleep per night in a group of 4500 students, how many would you expect get eight or more hours of sleep per night?

Answers

Answer:

2790

Step-by-step explanation:

38/100 * 4500 = 1710 get less than eight hours of sleep

4500 - 1710 = 2790 students

an atom with 16 electrons must have how many shells?

Answers

Answer:

3 shells

Step-by-step explanation:

1st shell: 2 electrons

2nd shell: 8 electrons

3rd shell: 6 electrons

{1800*(-90)} /495/(-22)

Answers

1800 (-90) /495/-(22) =
1736910

Katie received a speeding ticket that incurred a $125 fine. After one month, she will also
be charged late fees for every month that she is delinquent. The amount she pays is
modeled by an exponential function, and the following table reflects the amount she will
have to pay each month.
Month Paid
Amount Paid
$125
1
2
3
$137.50
$151.25
$166.38
4
a. Write a function that models the fine Katie will pay in terms of the month it is paid. (5
points)
b. Using your function, predict how much Katie will pay if she waits until month 12 to pay
her fine. (5 points)

Answers

Answer:

Try A

Step-by-step explanation:

Need help on this please

Answers

y-y_o= m(x-x_0)
y-(-4)=-(x-0)
y+4=-x
y=-x-4

Hope it helps

What does it mean to live on campus?

Answers

To live on campus is when you have almost like a hotel room but you may share it and it is linked to you school

to like live on school grounds, like in a dorm room

guys help i cant figure this out I'm stressing please help me

Answers

Answer:

C) 0.066...

Step-by-step explanation:

1/15 = 0.066...

You could eliminate B and C as 15 (numerator from question) is not a multiple of 10. You can eliminate A as the numerator of 15 from the question is larger than 10 and will result in a number less than 0.1.

A 1/3
B 1/2
C 2
D 3
will give brainliesttt

Answers

Answer: A

Explanation:

express 832.0646 to a significant

Answers

Answer:

Step-by-step explanation:

200

last one for today......

Answers

Answer:

A. 4,200,000 should be your answer

Step-by-step explanation:

hope this helps you

Answer:

A 4,200,000

Step-by-step explanation:

take 4.2 and move the decimal point to the right 6 times. Then fill in the blank spaces with zeros to get the final answer

Mai’s pencil is 24 cm long. She sharpens it, and it loses 1/8 of its length. How long is her pencil now?

Answers

Answer:

It is 21 cm long

Step-by-step explanation:

1/8 of 24 is 3, so you would subtract 3 from 24. 3*8=24.

How
Many small circles of radius 7cm
can be got from big
big circle of radius
35cm

Answers

Answer:

Let get x as a number of small circles.

Area of big circle = Area of all small circles

(Here . implies multiplication)

22/7 . 35 cm .35cm = 22/7 . 7cm .7cm .x

x = (22/7 . 35 cm .35cm) / (22/7 . 7 cm .7cm)

x = (35 . 35) /(7.7)

x = 25

Step-by-step explanation:

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