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PtichkaEL [24]
3 years ago
11

a bag contains a number of colored gum balls: 2 green, 10 orange, 5 blue, 3 yellow. your friend candy randomly picks a gum ball,

then you do the same. what is the probability that candy selects a yellow gun ball and you select an orange gun ball?
Mathematics
1 answer:
yaroslaw [1]3 years ago
4 0

Answer:

.075 or 7.5% chance

Step-by-step explanation:

add up the number of balls to get 20. The chance of getting orange is 1/2 or .5, and the chance of getting yellow is 3/20, or .15. Then multiply the two fractions.

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How many ways are there to choose a committee of 7 people from a group of 10 people?7201208405040?
lyudmila [28]

Answer: 120

---------------------------------------------------------------------------------------

Explanation:

We have seven slots to fill. Let's call the slots A, B, C, D, E, F, G

There are 10 choices for slot A

There are 9 choices for slot B

There are 8 choices for slot C

There are 7 choices for slot D

There are 6 choices for slot E

There are 5 choices for slot F

There are 4 choices for slot G

We count down because each previous slot reduces the pool to choose from. Multiply those values out: 10*9*8*7*6*5*4 = 604800

Now divide that result by 5040. Why 5040? Because this is the number of ways to arrange 7 people within a single grouping. Note how 7! = 7*6*5*4*3*2*1 = 5040. W're dividing because order does not matter for any committee.

So we have 604800/5040 = 120 which is the answer we want

---------------

Side note: We could use the alternate route of the nCr combination formula

nCr = (n!)/(r!*(n-r)!)

where n = 10 and r = 7


5 0
3 years ago
Can someone please help with this 7th grade math question?
pogonyaev

Answer:

B,,,,,,,,,  2, 6, 10, and -8

Step-by-step explanation:

Coefficients are any numbers part of an equation

8 0
4 years ago
Find a homogeneous linear differential equation with constant coefficients whose general solution is given by
frez [133]

Answer:

y" + 2y' + 2y = 0

Step-by-step explanation:

Given

y=c_1e^{-x}cosx+c_2e^{-x}sinx

Required

Determine a homogeneous linear differential equation

Rewrite the expression as:

y=c_1e^{\alpha x}cos(\beta x)+c_2e^{\alpha x}sin(\beta x)

Where

\alpha = -1 and \beta = 1

For a homogeneous linear differential equation, the repeated value m is given as:

m = \alpha \± \beta i

Substitute values for \alpha and \beta

m = -1 \± 1*i

m = -1 \± i

Add 1 to both sides

m +1= 1 -1 \± i

m +1= \± i

Square both sides

(m +1)^2= (\± i)^2

m^2 + m + m + 1 = i^2

m^2 + 2m + 1 = i^2

In complex numbers:

i^2 = -1

So, the expression becomes:

m^2 + 2m + 1 = -1

Add 1 to both sides

m^2 + 2m + 1 +1= -1+1

m^2 + 2m + 2= 0

This corresponds to the homogeneous linear differential equation

y" + 2y' + 2y = 0

6 0
3 years ago
A portion of a line or Ray that extends from one point to another point is called what
Juli2301 [7.4K]

Answer: line segment

Step-by-step explanation:

A line segment is a ray that extends from one point to another. Hope this helps!

5 0
4 years ago
Read 2 more answers
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Vikki [24]
If you add both 5.75 and 4.75, you'd get 10.5, so your answer is 10 and a half, so D.
7 0
3 years ago
Read 2 more answers
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