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
Ede4ka [16]
2 years ago
8

A bag contains 10 red marbles, 8 blue marbles and 2 yellow marbles. Find the theoretical probability of getting a yellow marble.

Mathematics
1 answer:
Rzqust [24]2 years ago
7 0
(number of yellow marbles) / (overall number of marbles)
=
2/20
You might be interested in
What type of polygon is shown
REY [17]
Triangle b because it only has 3 sides
5 0
3 years ago
The answer is A the answer is a because it is asking how.....___________________________________________________________________
Dmitrij [34]
A was A for the fun of it also I’m just putting anything down cause I put no question
5 0
3 years ago
Please help me I am clueless
Anastaziya [24]
The first one on the right

If b is greater, then it will be to the right of a
7 0
3 years ago
Y''+y'+y=0, y(0)=1, y'(0)=0
mars1129 [50]

Answer:

y=e^{\frac{-t}{2}}\left ( \cos\left ( \frac{\sqrt{3}t}{2} \right )+\frac{1}{\sqrt{3}}\sin \left ( \frac{\sqrt{3}t}{2} \right ) \right )

Step-by-step explanation:

A second order linear , homogeneous ordinary differential equation has form ay''+by'+cy=0.

Given: y''+y'+y=0

Let y=e^{rt} be it's solution.

We get,

\left ( r^2+r+1 \right )e^{rt}=0

Since e^{rt}\neq 0, r^2+r+1=0

{ we know that for equation ax^2+bx+c=0, roots are of form x=\frac{-b\pm \sqrt{b^2-4ac}}{2a} }

We get,

y=\frac{-1\pm \sqrt{1^2-4}}{2}=\frac{-1\pm \sqrt{3}i}{2}

For two complex roots r_1=\alpha +i\beta \,,\,r_2=\alpha -i\beta, the general solution is of form y=e^{\alpha t}\left ( c_1\cos \beta t+c_2\sin \beta t \right )

i.e y=e^{\frac{-t}{2}}\left ( c_1\cos\left ( \frac{\sqrt{3}t}{2} \right )+c_2\sin \left ( \frac{\sqrt{3}t}{2} \right ) \right )

Applying conditions y(0)=1 on e^{\frac{-t}{2}}\left ( c_1\cos\left ( \frac{\sqrt{3}t}{2} \right )+c_2\sin \left ( \frac{\sqrt{3}t}{2} \right ) \right ), c_1=1

So, equation becomes y=e^{\frac{-t}{2}}\left ( \cos\left ( \frac{\sqrt{3}t}{2} \right )+c_2\sin \left ( \frac{\sqrt{3}t}{2} \right ) \right )

On differentiating with respect to t, we get

y'=\frac{-1}{2}e^{\frac{-t}{2}}\left ( \cos\left ( \frac{\sqrt{3}t}{2} \right )+c_2\sin \left ( \frac{\sqrt{3}t}{2} \right ) \right )+e^{\frac{-t}{2}}\left ( \frac{-\sqrt{3}}{2} \sin \left ( \frac{\sqrt{3}t}{2} \right )+c_2\frac{\sqrt{3}}{2}\cos\left ( \frac{\sqrt{3}t}{2} \right )\right )

Applying condition: y'(0)=0, we get 0=\frac{-1}{2}+\frac{\sqrt{3}}{2}c_2\Rightarrow c_2=\frac{1}{\sqrt{3}}

Therefore,

y=e^{\frac{-t}{2}}\left ( \cos\left ( \frac{\sqrt{3}t}{2} \right )+\frac{1}{\sqrt{3}}\sin \left ( \frac{\sqrt{3}t}{2} \right ) \right )

3 0
3 years ago
I really need help plzzzzz​
Marianna [84]

Answer:

  • All similar, see below

Step-by-step explanation:

Q1

<u>Angles</u>

  • 26° & 64° & 90°
  • AA similarity

Q2

<u>Ratios of corresponding sides:</u>

  • 6/8 = 9/12 = 12/16 ⇒ 3/4
  • SSS similarity

Q3

<u>Angle C is vertical</u>

  • ∠ACB ≅ ∠DCE

<u>Ratios of corresponding sides:</u>

  • 9/15 = 18/30 ⇒ 3/5
  • SAS similarity
6 0
2 years ago
Other questions:
  • In a right triangle, the side adjacent to angle has length 1.82 meters and the hypotenuse has length 6.53 meters. What is the co
    12·1 answer
  • If the circumference of a circle is 201 centimeters what is the radius of the circle (to the nearest whole number)? Use 3.14 for
    11·1 answer
  • Write a recursive definition for the sequence 21,16,11,6
    5·1 answer
  • Solve 7−3n ≤ n+3<br> ................
    10·1 answer
  • Solve the given equation. Check your solution. 60 (2s+5)=64
    9·1 answer
  • Using the segment addition postulate, which is true?
    6·1 answer
  • Pls help me I'm in a hurry its really easy
    13·2 answers
  • What type of function is represented by the table of values below?
    15·2 answers
  • In the expression 852.763 x 10?, what is the missing exponent that would result in a number that is 1,000 times the value of 852
    6·1 answer
  • in a sale a store gives a reduction of 25% off the ticket price. a summer coat is marked in the sale at £97.50 how much is the o
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!