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
Nana76 [90]
3 years ago
11

There are 3 red chips and 2 blue chips. If they form a certain color pattern when arranged in a row, for example RBRRB, how many

color patterns are possible?A. 10B. 12C. 24D. 60E. 100
Mathematics
1 answer:
svp [43]3 years ago
4 0

Answer:

Option A - 10

Step-by-step explanation:

Given : There are 3 red chips and 2 blue chips. If they form a certain color pattern when arranged in a row, for example RBRRB.

To find : How many color patterns are possible?

Solution :

Total number of chips = 5

So, 5 chips can be arranged in 5! ways.

There are 3 red chips and 2 blue chips.

So, choosing 3 red chips in 3! ways

and choosing 2 blue chips in 2! ways.

As changing the places of similar chip will not create new pattern.

The total pattern is given by,

T=\frac{5!}{3!\times 2!}

T=\frac{5\times 4\times 3!}{3!\times 2}

T=10

Therefore, color patterns are possible are 10.

Option A is correct.

You might be interested in
What is m∠Q ?
ddd [48]
Unlike the previous problem, this one requires application of the Law of Cosines.  You want to find angle Q when you know the lengths of all 3 sides of the triangle.

Law of Cosines:  a^2 = b^2 + c^2 - 2bc cos A

Applying that here:

                           40^2 = 32^2 + 64^2 - 2(32)(64)cos Q

Do the math.  Solve for cos Q, and then find Q in degrees and Q in radians.

7 0
2 years ago
Read 2 more answers
A tree casts a shadow that is 8 feet long, a 3 foot mailbox cast a shadow that is 5 feet long. how tall is the tree?
madam [21]
Set up two fractions:
8/x and 3/5
Set them equal to each other and cross multiply to get:
8*5 = 3x
40 = 3x
13.3 = x or 13 and 1/3 feet tall. 
7 0
3 years ago
The cost to purchase a song from iTunes is $0.99 per song. To purchase a song from Napster, you must be a member. The Napster me
vlada-n [284]

Answer:

It will take 100 songs for the monthly price of Napster to cost the same as iTunes.

Step-by-step explanation:

Let's create two equations to represent iTunes (T(d)) and Napster (N(d)):

T(d)=0.99d

N(d)=0.89d+10

In order for us to find when the two prices will be the same, let's set the equations equal to each other and solve for x:

0.99d=0.89d+10

0.1d=10

d=100

4 0
2 years ago
Read 2 more answers
Find e^cos(2+3i) as a complex number expressed in Cartesian form.
ozzi

Answer:

The complex number e^{\cos(2+31)} = \exp(\cos(2+3i)) has Cartesian form

\exp\left(\cosh 3\cos 2\right)\cos(\sinh 3\sin 2)-i\exp\left(\cosh 3\cos 2\right)\sin(\sinh 3\sin 2).

Step-by-step explanation:

First, we need to recall the definition of \cos z when z is a complex number:

\cos z = \cos(x+iy) = \frac{e^{iz}+e^{-iz}}{2}.

Then,

\cos(2+3i) = \frac{e^{i(2+31)} + e^{-i(2+31)}}{2} = \frac{e^{2i-3}+e^{-2i+3}}{2}. (I)

Now, recall the definition of the complex exponential:

e^{z}=e^{x+iy} = e^x(\cos y +i\sin y).

So,

e^{2i-3} = e^{-3}(\cos 2+i\sin 2)

e^{-2i+3} = e^{3}(\cos 2-i\sin 2) (we use that \sin(-y)=-\sin y).

Thus,

e^{2i-3}+e^{-2i+3} = e^{-3}\cos 2+ie^{-3}\sin 2 + e^{3}\cos 2-ie^{3}\sin 2)

Now we group conveniently in the above expression:

e^{2i-3}+e^{-2i+3} = (e^{-3}+e^{3})\cos 2 + i(e^{-3}-e^{3})\sin 2.

Now, substituting this equality in (I) we get

\cos(2+3i) = \frac{e^{-3}+e^{3}}{2}\cos 2 -i\frac{e^{3}-e^{-3}}{2}\sin 2 = \cosh 3\cos 2-i\sinh 3\sin 2.

Thus,

\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2-i\sinh 3\sin 2\right)

\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2\right)\left[ \cos(\sinh 3\sin 2)-i\sin(\sinh 3\sin 2)\right].

5 0
2 years ago
Find the volume of the solid figure shown below. The area of the base is 40 square inches, and the height of the figure is 7 inc
meriva

Answer:

280 in is corect

40*7=280

3 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify 7 log3 k + 6 log3 m − 9 log3 n
    14·1 answer
  • When 58,511 is divided by 21, the quotient is 2,786 R ___.<br><br> Numerical Answers Expected!
    5·1 answer
  • Simplify the expression. 2 · 16 + 24 ÷ 4 80 38 134
    6·2 answers
  • How do you solve this
    6·1 answer
  • What is the product of -3 and 5?
    13·2 answers
  • What is the solution to this equation? –5(s – 6) = –10 A. s = –4 B. s = 8 C. s = 28 D. s = 32
    13·1 answer
  • A production process produces 5% defective parts. A sample of five parts from the production process is selected. What is the pr
    12·1 answer
  • A lawnmower that regularly sells for %150 was discounted by 25% off.
    13·1 answer
  • I'm literally the worst at math. here's my problem: 10 (2y+2) - y = = 2(8y-8)
    6·2 answers
  • Algebra 1 CR-8
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!