1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alexdok [17]
3 years ago
15

I have some questions regarding combinations in finite. Here is my first one I am stumped on:

Mathematics
1 answer:
podryga [215]3 years ago
8 0

We will get the number of possible selections, and then subtract the number less than 25 cents.

We can choose the number of dimes 5 ways 0,1,2,3 or 4.
We can choose the number of nickels 4 ways 0,1,2 or 3.
We can choose the number of quarters 3 ways 0,1, or 2.

That's 5*4*3  = 60 selections 

Now we must subtract from the 60 the number of selections of coins that are less than 25 cents. These will involve only dimes and nickels. 

To get a selection of coin worth less than 25 cents:
If we use no dimes, we can use 0,1,2  on all 3 nickels.
That's 4 selections less than 25 cents. (that includes the choice of No coins at all in the 60, which we must subtract).

If we use exactly 1 dime , we can use 0,1,2, or all 3 nickels.
That's the 3 combinations less than 25 cents.

And there is 1 other selection less than 25 cents, 2 dimes and no nickels. 

So that's 4+3+1 = 8 selections which we must subtract from the 60.
 
Answer 60-8 = 52 selections of coins worth 25 cents or more.

You might be interested in
Solve the equation. 9 = – x + 8
lord [1]

Answer:

x = - 1

Step-by-step explanation:

Given

9 = - x + 8 ( subtract 8 from both sides )

1 = - x ( multiply both sides by - 1 )

- 1 = x ⇒ x = - 1

5 0
3 years ago
There are six balls in the bag. Two are basketballs, three are playground balls, and one is a soccer ball. What is the probabili
aleksandr82 [10.1K]

Answer:

\frac{1}{6}=0.16

Step-by-step explanation:

Given : There are six balls in bag

             Basketballs=2

             Playground balls =3

             Soccer ball =1

To Find : the probability that if you pick one of the balls without looking, it will be a soccer ball

Solution :

Total no. of balls = 6

No. of soccer balls = 1

Probability = favorable outcomes / total outcomes

Since total outcomes = total no. of balls =6

And favorable outcome = no. of soccer balls = 1

Thus , Probability of getting soccer ball = \frac{1}{6}

Hence the probability that if you pick one of the balls without looking, it will be a soccer ball:

\frac{1}{6}=0.16



7 0
3 years ago
The following back to back stemplot represents the amount a sample of students spent on their last haircut. Because there are si
krek1111 [17]

The 5 - number summary of the distribution obtained from the boxplot is :

  • Minimum = 20
  • Maximum = 85
  • Lower quartile = 35
  • Median = 44
  • Upper quartile = 58
  • Outlier = 100

Firstly, we need to extract the values for the amount spent by females :

20, 25, 25, 35, 37, 38, 39, 43, 45, 46, 50, 53, 60, 70, 85, 100

The five number summary include ;

  • Minimum, lower Quartile, Median, Upper Quartile and Maximum values.

Rearranging the data in ascending order :

20, 25, 25, 35, 37, 38, 39, 43, 45, 46, 50, 53, 60, 70, 85, 100

The boxplot clearly and easily gives the five number summary of the distribution :

  • Minimum = 20 (starting point of the whisker)
  • Lower quartile = 35 (starting point of the box)
  • Median = 44 (vertical line in between the box)
  • Upper quartile = 58 (endpoint of the box)
  • Maximum = 85 (endpoint of the upper whisker).

Outlier :

  • Lower boundary = LOWER QUARTILE - (1.5 × IQR)
  • Upper boundary = UPPER QUARTILE + (1.5 × IQR)
  • IQR = UPPER QUARTILE - LOWER QUARTILE
  • IQR = (58 - 35) = 23

Lower boundary = 35 - (1.5 × 23) = 0.5

Upper boundary = 58 + (1.5 × 23) = 92.5

  • The point denoted by a dot on the boxplot is an outlier = 100

Hence, values lesser than 0.5 or greater than 92.5 are outliers.

Therefore, 100 is an outlier.

Learn more : brainly.com/question/24582786

7 0
2 years ago
Find dy/dx by implicit differentiation. <br> 4x2 + 5xy - y2 = 6
Vlada [557]
4x^2 + 5xy - y^2 = 6
Implicitly differentiating both sides,
4(2x) + 5(x y' + y) - 2yy' = 0

where y' = dy/dx

8x + 5xy' +5y  -2yy' = 0

combining y' terms
y' (5x-2y) +8x +5y = 0

y'(5x-2y) = -(8x+5y)

dy/dx = -(8x+5y)/(5x-2y)
or
dy/dx = (8x+5y)/(2y-5x)
5 0
3 years ago
Keveni can travel 221/2 miles in 1/3 hours what is his average speed in miles per hour
Alborosie

So I have 2 answers here they are.

key: 1/3hours =20 min

221÷2=110.5÷20=5.525

221.5÷20=11.075

I hope this helps!

6 0
3 years ago
Other questions:
  • Find the quotient 81/93 divided by 31/45 divided by 76/96
    13·2 answers
  • Identify the inverse of the following statement. If x = 2, then x + 3 = 5.
    12·2 answers
  • A tessellation is the regular _____ of a plane shape.
    12·1 answer
  • Jeremy has a deck of cards numbered 1-12. He picks one card and then replaces it. Then he picks another card. What is the probab
    11·1 answer
  • Factor 6 z^3/3 + 1 z^1/3
    8·1 answer
  • If c – 8 is an odd integer, which of the following could be the value of c?
    13·1 answer
  • 4.2kg of oranges are £8.76. How much does 2kg cost
    6·2 answers
  • Please help me solve this.<br> 15x+8=-2+14x
    9·1 answer
  • What system the system that is made up of the heart,blood, and blood vessels is called the ____ this is for sceince but i cant f
    6·1 answer
  • Can someone please help me​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!