On a famous episode of Star Trek, Captain Kirk and the gang played a card game called Phisbin. This problem is about another game, called Frisbin. The object of Frisbin is to throw three Frisbees at three different-sized bins that are set up on the ground about 20 feet away from the player. If a Frisbee lands in the largest bin, the player scores 1 point. If a Frisbee lands in the medium-sized bin, the player scores 5 points. If a Frisbee lands in the smallest bin, the player scores 10 points. Kirk McCoy is playing the game. If all three of his Frisbees land in bins, how many different total scores can he make?

Answers

Answer 1

Answer:

10 different possible scores

Step-by-step explanation:

the total possible scoring combinations are:

large bin (1)   medium bin (5)     small bin (10)    score

3                             0                             0                   3    

2                             1                              0                   7

2                             0                             1                    12

1                              2                             0                   11

1                              0                             2                   21

1                              1                              1                    16

0                             3                             0                   15

0                             2                             1                    20

0                             1                              2                   25

0                             0                             3                   30

 

Answer 2

Using the principle of combination, the number of different total scores that can be made is 10.

Using the combination relation which includes repetition :

[tex] \binom{n + k - 1}{k} [/tex]n = number of Frisbee = 3 k = number of bins = 3

Substituting the values into the formula :

[tex] \binom{3 + 3 - 1}{3} = \binom{5}{3} [/tex]

Using the combination formula :

[tex]nCk = \frac{n!}{(n-k)!k!}[/tex]

[tex]5C3 = \frac{5!}{(5-3)!3!}[/tex]

[tex]5C3 = \frac{5!}{2!3!}[/tex]

[tex]5C3 = \frac{5 \times 4}{2} = \frac{20}{2} = 10[/tex]

The number of different total scores that he can make is 10.

Learn more :https://brainly.com/question/19299862


Related Questions

The morning temperature in Erin's apartment was 79°. Erin turned up the air conditioner and

the temperature in her apartment that afternoon was 68º. Write an integer to represent the

change in temperature. (1 point)

Enter your answer

Submit

O

BI

Answers

Answer:

The integer which represents the change in temperature from morning to afternoon is -11°

Step-by-step explanation:

Since the morning temperature in Erin's apartment was 79°, and the temperature in Erin's apartment that afternoon was 68°. If Erin turned up the temperature and the temperature in the afternoon was 68°. So, the temperature change from 79° down to 68° is thus 68° - 79° = -11°.

So, the integer which represents the change in temperature from morning to afternoon is -11°

2020-2021 T-Math-Alg1-T1and2-CBT.: Section 2 - Calculator Section Question: 2-4
Scientific Calculator
A sequence is defined by the function f(n)=f(n-1)+5, where n represents the number of the term for
n>1. and f(1) = -4. What are the first four terms of the sequence?
1,6,11,15
o
7
S
-4.0,-1,-2
4
O
1
2
3
0.-1.-2.-3
0
-4.1,6.11
Previous
I
Type here to search
O
Si
Lenovo

Answers

Answer:

The correct option is;

1, 6, 11, 15

Step-by-step explanation:

The given information are;

The function that defines the terms of the sequence is f(n) = f(n - 1) + 5

Where;

n = The number of the term

For n = 1, we have, f(1) = -4

The first four terms are therefore;

f(2) = f(2 - 1) + 5 = f(1) + 5 = - 4 + 5 = 1

f(3) = f(3 - 1) + 5 = f(2) + 5 = 1 + 5 = 6

f(4) = f(4 - 1) + 5 = f(3) + 5 = 6 + 5 = 11

f(5) = f(5 - 1) + 5 = f(4) + 5 = 11 + 5 = 15

The first four terms are; 1, 6, 11, 15

75 points urgent.Jenny&Natasha are working on a problem together: Solve 3+8=−2. Natasha thinks the first step is to multiply by 3. Jenny explains that this is not the most efficient way to solve. Explain who is correct &justify your reasoning.
EXPLAIN WHY!!!

Answers

Answer:

This is the correct way to solve the problem :

You add 3 and 8 together.

you see if it equals -2 or not.

I hope this helps!

Step-by-step explanation:

slope of the line will mark brainliest to who asnwers first

Answers

y = 0x. Hope this helps!!

during a pickup basketball game the ratio of players on the red team to players on the blue team was 5:6. Write whether each statement is true or false

Answers

Answer:

false

Step-by-step explanation:

thats not fair for the other team

what is negative 1 and 4/5 as a decimal ​

Answers

Answer:

1.08

Step-by-step explanation:

Answer:

9/5 or -1.8 or  -1 4/5

Step-by-step explanation:

Based on her recipe Elana knows that 5 servings of granola have 1,750 calories. If she wants to eat 175 calories of granola how many servings should she eat

Answers

Answer:

1/2 of a serving

Step-by-step explanation:

start by dividing the 1750 calories by 5 to find out how much for one serving. than from there I divide one serving into two and got 175 calories

At a little-know vacation spot, taxi fares are bargain. A 28 mile tail ride takes 32 minutes and cost $22.40. You want to find the cost of a 35 minute taxi ride. What unit price do you need

Answers

I forgot How to do this Imao

¿seria seguro enviar a un helicóptero a la cima de una montaña para llevar a cabo un rescate por aire? un grupo de senderistas se queda atrapado en la cima de una montaña. equipo de búsqueda y rescate sugiere ge se necesitará un trasporte aéreo en helicóptero pa rescatarles. el helicóptero disponible para el rescate puede volar con seguridad a una altura de 5.200 metros sobre el nivel del mar. desafortunadamente, se trata de una montaña inexplorada y no disponen de datos confiables acerca de la altura de la cumbre

la unica informacion que tienes es la siguiente :
un senderista tardó 6,5 horas en dar la vuelta alrededor de la base de la montaña y estimo que recorrió una distancia de 26 kilómetros aproximadamente

los senderistas atrapados se mantuvieron en contacto con el campamento base por radio y , aunque recorrieron mas de 32 kilómetros, estimaron que la distancia en línea recta hasta la cima de la montaña es de unos 6 kilómetros

Answers

Answer:

Is this question in Spanish

Select the correct answer. Which statement correctly describes this expression? |x^3|+5 A. the sum of the absolute value of three times a number and 5 B. 5 more than the absolute value of the cube of a number C. the cube of the sum of a number and 5 D. the absolute value of three times a number added to 5

Answers

Answer:

B. 5 more than the absolute value of the cube of a number

Step-by-step explanation:

In the above question, we are given this expression: |x^3|+5

| | = This sign means Absolute value,

x^3 = x³ = x × x × x

Hence, the statement that correctly describes the expression |x^3|+5 is :

B. 5 more than the absolute value of the cube of a number

Answer:

5 more than the value of the value of a number

Step-by-step explanation:

David made an error when determining the product of (–2.5)(–8.3). Step 1: (–2.5)(–8.3) = (–8.3)(–2.5) Step 2: = (–8.3)(–2) + (–8.3)(–0.5) Step 3: = (–16.6) + (–4.15) Step 4: = –20.75 In which step did David make his first error? Step 1 Step 2 Step 3 Step 4

Answers

Answer:

Step 3.

Step-by-step explanation:

We need to tell the incorrect step in the given problem for the product of        (–2.5)(–8.3)

Step 1. (–2.5)(–8.3) = (–8.3)(–2.5)

Step 2:

We can write -2.5 = -(2+0.5)

(–8.3)(-(2+0.5)) = (–8.3)(-2)+(-8.3)(-0.5)

= 16.6 + 4.15

Step 3.

= 20.75

He has done an error in step 3. It should be 16.6 + 4.15 instead of (–16.6) + (–4.15). As a result, he get incorrect answer.

Answer:

it is step 3

Step-by-step explanation: i just took the test mark me brainliest lol :>

will give you brainlyist pls help​

Answers

Answer:

its a liitle blury, could u please retake the picture? lol

Step-by-step explanation:

Answer:

its too blury

Step-by-step explanation:

Use properties to rewrite the given equation. Which equations have the same solution as x + + x = – x? Check all that apply.

x + = – x
18x + 20 + 30x = 15 – 6x
18x + 20 + x = 15 – 6x
24x + 30x = –5
12x + 30x = –5

Answers

Answer:

options (a), (b), (c), and (e) have the same solution as the solution of  3/5 x + 2/3 + x = 1/2 -1/5x.

Step-by-step explanation:

The given equation is

3/5 x + 2/3 + x = 1/2 -1/5x

First, rearrange the equation to have constant terms and the terms having variable on the separate side.

3/5 x + x +1/5x= 1/2 - 2/3

9/5 x = -1/6

x= -1/6 ÷ 9/5

x= -1/6 x 5/9

x= -5/54 ...(i)

Now, find the solution of all the options in the similar way:

(a) 8/5 x +2/3 = 1/2 -1/5 x

8/5 x + 1/5 x = 1/2 - 2/3

9/5 x = -1/6

x= -1/6 ÷ 9/5

x= -1/6 x 5/9

x= -5/54 which is same as the solution of the mentioned equation. [ from equation (i)]

(b) 18x + 20 + 30x = 15 – 6x

18x+30x+6x = 15 -20

54x=-5

x= -5/54 which is same as the solution of the mentioned equation. [from equation (i)]

(c) 18x + 20 + x = 15 – 6x

18x+x+6x = 15 -20

25x=-5

x= -5/25 which is not the same as the solution of the mentioned equation. [ from equation (i)]

(d) 24x + 30x = –5

54x = -5

54x=-5

x= -5/54 which is same as the solution of the mentioned equation. [ from equation (i)]

(e) 12x + 30x = –5

42x = -5

42x=-5

x= -5/42 which not is same as the solution of the mentioned equation. [ from equation (i)].

Hence, options (a), (b), (c), and (e) have the same solution as the solutions of the given equation.

find the y-intercept of f(x) = 3x^2 + 6x

Answers

Answ3r:

81x^2

Step-by-step explanation

I think

Answer:

x=0

Hope this helped!!!! :)

Solve for AB. Round your answer to the nearest tenth if necessary.

Answers

Answer:

AB = 55.25

Step-by-step explanation:

Set up an equation where the length of AB is equal to AC minus BC. This will allow us to solve for x, and then the length of AB.

AB = AC - BC

5x + 9 = 87 - (3x + 4)

5x + 9 = 87 - 3x - 4

5x + 9 = 83 - 3x

8x + 9 = 83

8x = 74

x = 9.25

Now plug  9.25 in for x in the equation for AB

AB = 5x + 9

AB = 5(9.25) + 9

AB = 46.25 + 9

AB = 55.25

Identify the constant proportionality: k=

Answers

Answer:

is there any more info?

Step-by-step explanation:

I don't see any info in order for me to solve this

Find the volume of the cylinder with the info below.
Distance from center to edge: 3 feet
Side length of the cylinder: 5 feet
Please help me out! I promise I will mark brainliest!

Answers

Answer: 141.3 in

1. V = πrh

2. V = (3.14)([tex]3^{2}[/tex])(5)

3. V = 141.3 in.

Hope this answer helps you!

Can someone please help me ?!?!
How can you look at the equation of two lines and determine if they will be parallel?

Answers

Answer:

If the two lines have the same slope, they are parallel but they can't be the same line

Step-by-step explanation:

Which shows the algebraic representation of the phrase and its value when n=4.27
"twenty-eight plus the product of five and a number

Answers

28 + (5•n)
28 + (5•4.27)
28 + (21.35)
28 + 21.35
49.35

will mark as brainliest


Simplify 5 - 2 · 3 + 4.

Answers

Answer:  3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

order of operations says, first we do the multiplication

5-6+4

then we do subtraction

-1+4

and do the addition

3

hope this helped!

CASH APP for who ever gets it right
A town has a population of 12000 and grows at 4% every year. To the nearest year, how long will it be until the population will reach 15600?

Answers

Answer:

It will take 7.5 or 7 and a half years for the population to reach 15,600!

Step-by-step explanation:

4% of 12000 is 480!

15600-12000 is 3,600!

3,600/480 is 7.5

Answer:

6.69

Step-by-step explanation:

The equation is:

y=12000(1.04)^x

To solve, set y equal to 15600 and solve for x (I used a calculator)

15600=12000(1.04)^x

x=6.69

Solve?? 3x + 10 > 4

Answers

Answer:

x>−2

Step-by-step explanation:

1 Subtract 1010 from both sides.

3x>4-103x>4−10

2 Simplify  4-104−10  to  -6−6.

3x>-63x>−6

3 Divide both sides by 33.

x>-\frac{6}{3}x>−

​3

​6

​​

4 Simplify  \frac{6}{3}

​3

​6

​​   to  22.

x>-2x>−2

What is the value of x in the proportion below?

1/2 /4 = x/28

O 3 1/2
O 7 1/2
O 14
O 56

PLEASE HELP ITS URGENT​

Answers

The value of x in the proportion below is option 1 3 1/2.

What is butterfly method?

When using the butterfly method approach, the denominator of the first term is multiplied by the numerator of the second term, and vice versa.

What is proportion?

An equation known as proportion shows that the two ratios presented are equal to one another. In other terms, the proportion declares that the two ratios or fractions are equal. In terms of proportion, two sets of supplied numbers are said to be directly proportional if they increase or decrease in the same ratio.

The given proportion is:

[tex]\frac{\frac{1}{2} }{4} = \frac{x}{28}[/tex]

Using the method of cross-product or butterfly method:

[tex]\frac{\frac{1}{2} (28) }{4}=x \\\\\frac{14}{4}=x\\ \\x=3.5[/tex]

The value of x is 3.5. Converting this value into mixed fraction:

3.5 = 3 1/2

Hence, the value of x in the proportion below is option 1 3 1/2.

Learn more about proportion here:

https://brainly.com/question/17042941

#SPJ1

How to write a Linear Function??
PLS HELP NOW!

Answers

Answer:

i gotchu dude

Step-by-step explanation:

For example, a common equation, y=mx+b y = m x + b , is a linear function because it meets both problems  with x and y as variables and m and b as constants.

the steps for writing a linear exp. are

1.) Identify the y-intercept from the graph.

2.)Choose two points to determine the slope.

3.)Substitute the y-intercept and slope into slope-intercept form of a line

.nowww  to determine if an equation is a linear function without graphing, you will need to check to see if your function has the characteristics of a linear function. Linear functions are first-degree polynomials. Check that the y, or independent variable, is by itself on one side of the equation.

there are different ways to write linear functions like

1.)f(x) = mx + b (The "slope-intercept" form),

2.)y - yo = m(x - x0) or, equivalently, f(x) = y0 + m(x - x0) (The "point-slope" or "Taylor" form), and.

3.)Ax + By = C (The "general form") which defines y implicitly as a function of x as long as B 0.

hope this helped ;P

1. Your high school freshman class had a total of $1200 from fund-raisers during the year. To help
pay for a class trip at the end of your senior year, the class deposits the money into a 30-month CD
paying 5.6% interest compounded monthly.
a) Determine the amount the class will receive after 30 months.
I
[
b) How much interest did the class earn on the investment?

Answers

Answer:

a is 67.20 and b is 1267.20

Step-by-step explanation:

first you have to multiply 1200 from 5.6% and you get 67.20 then you have to add 1200 to 67.20 and you get 1267.20

a submarine hovers at 66 2/3 yards below sea level. if it ascends 24 1/8 yards and then decends 78 3/4 yards, what is the submarines new position, in yards, with respect to sea level?
-169 13/24
-121 7/24
-12 1/23
12 1/24

Answers

Answer:

-121 7/24

Step-by-step explanation:

The answer to this question for you is -121 7/24

What is the product of
(7/8)(-16)(-7)(-1/14)

A -7
B -9/16
C -1/7
D 23/12​

Answers

Answer:

-7

Step-by-step explanation:

(7/8)(-16)(-7)(-1/4)

(7/8)(-1/4)(-16)(-7)

(-1/16)(112)

-7

Answer:

-7

Step-by-step explanation:

multiply all the numbers together and you get -7

is -6.8 a positive number?​

Answers

Answer:

no

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

-6.8 = negative six point eight

suppose m8=141. What is m4 so that m||n ?​

Answers

The measure of angle 4 is 141 degrees.

8×6=(4×6)+(_____x6)=24+_____=
Evaluate.

Answers

Answer:

[tex]8 \times 6 = (4 \times 6) + (4 \times 6) = 24 + 24 = 48[/tex]

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