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2 years ago

Stacy rolls a pair of six-sided fair dice.

Mathematics

1 answer:

Stells [14]2 years ago

3 0

Answer:

The probability that the sum of the numbers rolled is either a multiple of 3 or an even number is 24/36 = 2/3

The two events are mutually exclusive

Step-by-step explanation:

we first need to create a table of the sample space from the experiment, the sum of the numbers rolled. Find the attached for a depiction of the possible outcomes.

The probability that the sum of the numbers rolled is either a multiple of 3 or an even number will be given by counting the numbers that are either even or multiples of 3 and then dividing by the number of possible outcomes, 36.

In our case this will be;

24/36 = 2/3

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there are 64 singers in the choir. the tenors and sopranos are in separate row . there are 8 singers in each row. there are 4 ro

lilavasa [31]

4 since 64/8=8 there are 8 rows and if 4 are filled with tenors the rest must be filled with sopranos

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2 years ago

In Exercises 1 and 2, find the equilibrium solutions of the differential equation specified.1) dy/dt = (y + 3)/(1 - y)2) dy/dt =

Aleks [24]

Answer:

1. Equilibrium solution: y= -3

2. Equilibrium solution y= ±1.414

Step-by-step explanation:

Thinking process:

The equilibrium solution can only be derived when $\frac{dy}{dt} = 0$

1. Let's look at the first equation:

$\frac{dy}{dt} = \frac{(y+3)}{(1-y)}$

equating $\frac{dy}{dt} = 0$ to the expression $\frac{(y+3)}{(1-y)}$ gives

y + 3 = 0

y = -3

Therefore, the equilibrium solution occurs at y = -3

2. Let's look at the second solution:

$\frac{dy}{dy} = \frac{(t^{2}- 1) (y^{2}-2) }{y^{2}-4 }$

dividing each side by (t²-1) gives

1/(t²-1) $\frac{dy}{dt}$ = (y²-2)/ (y²-4)

factorizing the right hand side gives:

at equilibrium: $\frac{dy}{dt} = 0$ , then

y² - 2 = 0

solving for y gives y = ±√2

= ±1.414

5 0

2 years ago

Nina had 9 apples to share with 5 of her friends. If all 6 people get equal share , how many apples will each person get? How do

Umnica [9.8K]

<span> Nina + her 5 friends = 6 people
Then she has 9 apple to share with her and her friends.
Let’s calculate how many apple will each people get when they equally divide it with each other:
=> 9 – 6 = 3
Thus already have 1 apple each, now, let’s divide the remaining 3 apples
=> 3 / 6 = .5
So they have half of apple each. Let’s add
=> 1 + .5 = 1.5
Each person will get 1.5 apple.
=> 1.5 * 6 = 9</span>

7 0

2 years ago

Read 2 more answers

In triangle ABC AD/DB = CE/EB. Complete the proof showing the segment DE is parallel to segment AC.

Natasha_Volkova [10]

Answer:

1. $\dfrac{AD}{DB}+1=\dfrac{CE}{EB}+1$