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
Margarita [4]
3 years ago
8

Alice has 2 pennies, 3 nickels, 4 dimes, 4 quarters and 1 loonie in her pocket. If one coin is drawn randomly, what is the theor

etical probability of getting a quarter?
Mathematics
1 answer:
Leviafan [203]3 years ago
4 0
Answer: 4/14

Step by step: there are 14 coins and only 4 quarters so 4/14
You might be interested in
HELP PLEASE<br> DJEJJDJDBFHERHDHKJE
Serhud [2]

Solution:

Total number of students=273

Let x students choose Tiger. Then we can write

Number  of students who choose Bulldog =4x

Number  of students who choose Lion =2x

So we can write

x+2x+4x=273\\&#10;\\&#10;7x=273\\&#10;\\&#10;x=39\\

Hence a total of 39*2=78 student choose Tiger.



6 0
3 years ago
Find the distance between<br> 2-3i<br> And<br> 9+21i
Goryan [66]

2 - 3i is just another of writing (2, -3) in the cartesian plane, the 2-3i however is using the "imaginary axis" for the imaginary plane, is all however the imaginary axis is simply the equivalent of the y-axis.  Likewise 9+21i is just (9,21), so let's just use the distance formula.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{21})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[9-2]^2+[21-(-3)]^2}\implies d=\sqrt{(9-2)^2+(21+3)^2} \\\\\\ d=\sqrt{7^2+24^2}\implies d=\sqrt{49+576}\implies d=\sqrt{625}\implies d=25

3 0
3 years ago
raph the equation with a diameter that has endpoints at (-3, 4) and (5, -2). Label the center and at least four points on the ci
andreyandreev [35.5K]

Answer:

Equation:

{x}^{2}   +  {y}^{2} +  2x  - 2y   -  35= 0

The point (0,-5), (0,7), (5,0) and (-7,0)also lie on this circle.

Step-by-step explanation:

We want to find the equation of a circle with a diamterhat hs endpoints at (-3, 4) and (5, -2).

The center of this circle is the midpoint of (-3, 4) and (5, -2).

We use the midpoint formula:

( \frac{x_1+x_2}{2}, \frac{y_1+y_2,}{2} )

Plug in the points to get:

( \frac{ - 3+5}{2}, \frac{ - 2+4}{2} )

( \frac{ -2}{2}, \frac{ 2}{2} )

(  - 1, 1)

We find the radius of the circle using the center (-1,1) and the point (5,-2) on the circle using the distance formula:

r =  \sqrt{ {(x_2-x_1)}^{2} + {(y_2-y_1)}^{2} }

r =  \sqrt{ {(5 -  - 1)}^{2} + {( - 2- - 1)}^{2} }

r =  \sqrt{ {(6)}^{2} + {( - 1)}^{2} }

r =  \sqrt{ 36+ 1 }  =  \sqrt{37}

The equation of the circle is given by:

(x-h)^2 + (y-k)^2 =  {r}^{2}

Where (h,k)=(-1,1) and r=√37 is the radius

We plug in the values to get:

(x- - 1)^2 + (y-1)^2 =  {( \sqrt{37}) }^{2}

(x + 1)^2 + (y - 1)^2 = 37

We expand to get:

{x}^{2}  + 2x  + 1 +  {y}^{2}  - 2y + 1 = 37

{x}^{2}   +  {y}^{2} +  2x  - 2y +2 - 37= 0

{x}^{2}   +  {y}^{2} +  2x  - 2y   -  35= 0

We want to find at least four points on this circle.

We can choose any point for x and solve for y or vice-versa

When y=0,

{x}^{2}   +  {0}^{2} +  2x  - 2(0)  -   35= 0

{x}^{2}   +2x   -   35= 0

(x - 5)(x + 7) = 0

x = 5 \: or \: x =  - 7

The point (5,0) and (-7,0) lies on the circle.

When x=0

{0}^{2}   +  {y}^{2} +  2(0)  - 2y   -  35= 0

{y}^{2} - 2y   -  35= 0

(y - 7)(y + 5) = 0

y = 7 \: or \: y =  - 5

The point (0,-5) and (0,7) lie on this circle.

3 0
3 years ago
A committee consisting of 3 faculty members and 5 students is to be formed. Every committee position has the same duties and vot
Lemur [1.5K]

Answer:

In 16170 ways the committee can be formed.

Step-by-step explanation:

3 faculty members and 5 students are required to form a committee.

The eligible to serve on the committee are 7 faculty members and 11 students.

If each committee position has the same duties and voting rights.

Then, the number of ways of selecting 3 faculty members out of 7 eligible faculty members is ^7C_{3} = 35.

Again, the number of ways of selecting 5 students out of 11 eligible students is given by ^{11}C_{5} = 462.  

Therefore, in (35 × 462) = 16170 ways the committee can be formed. (Answer)

5 0
3 years ago
Match the following items.
IgorLugansk [536]

Answer:

#1 is 3x + 4 =-17 #2 is 3x =-21 #3 is x = -7 #4 is 2x + x +4 = -17

Step-by-step explanation:

#1 gives you the problem ready to be worked out. #2 all you need to do to finish it is divide both sides by 3. #3 the answer is already there. #4 You need to combine the like terms then solve the problem.

3 0
3 years ago
Other questions:
  • How do i graph x+3y=-12 and 5x-3y=-6 on the same graph with a solution of x=-3 and y=-3
    11·1 answer
  • True or false? 5 2/3 and 3/17 are reciprocal numbers.
    11·2 answers
  • Peter bought 12.4 gallons of gas at $2.76 per gallon. How much money did Peter spend?
    13·2 answers
  • Gordy is a goalie for a neighborhood soccer team.He played in 65% of the 20 games this season.In how man ygames did he not play?
    13·2 answers
  • The sum of three consecutive odd integers is -381
    11·1 answer
  • The scores on a standardized test are normally distributed with a mean of 80 and standard
    11·1 answer
  • Find the next three numbers 1, 0.6, 0.36, 0.216
    8·1 answer
  • Given 2X + 4Y = 13 and 3X + Y = 2, what is the value of X?
    6·1 answer
  • Find the area of the figure below.<br> 6 cm<br> 5 cm<br> 13 cm
    8·1 answer
  • What trigonometric expression can be used to find the value of x? Replace a and b with the correct values.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!