Question

Ramona is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is odd} and let B = {the sum of the number cubes is divisible by 5}. List the outcomes in A ∩ B

Answer 1

@jim_thompson5910 @jim_thompson5910 @beccaboo333 @Destinymasha @e.mccormick @NeedHelpQuick546 @ParthKohli @uri @whpalmer4 @zepdrix @zzr0ck3r @KingGeorge

Answer 2

For A: The sum of two numbers is odd if and only if you're adding an even number to an odd one.

For B: The sum is divisible by 5 if it ends in 5 or 0.

Answer 3

@SithsAndGiggles So is it D?

Answer 4

D? What is D?

Answer 5

{1,3,5,7,9,11}

{1,5}

{3,5}

{5}

Answer 6

Strange... I'm not sure I understand the question. The way it's written:
\[A=\left\{\text{sum of number cubes is odd}\right\}\]
seems to suggest that the elements in \(A\) would be pairs of the form \((\star,\star)\) where each star is a component that is rolled (same for \(B\)). For example, \((5,2)\), whose sum is 7, would mean one cube rolled a 5 and the other rolled a 2.

The means that if any element is shared among A and B, you'll have similar elements in the intersection, \((\star,\star)\). All of the answer choices are given as \((\star)\).

Answer 7

So it is D

Answer 8

It comes down to how you define A and B. My notion must be wrong. It could mean instead that A contains the possible sums that are odd, which would mean
\[A=\{3,5,7,9,11\}\]
and similarly,
\[B=\{5,10\}\]
The intersection would indeed be \(\{5\}\).

Answer 9

It doesn't matter what I think, and it's not your fault, but I gotta say, this question is poorly written...

Answer 10

@SithsAndGiggles Is this A?

Answer 11

No - it's C

Answer 12

What is this @SithsAndGiggles

Answer 13

Can someone help with this?
@aaronq @beccaboo333 @Destinymasha @e.mccormick @ranga @NeedHelpQuick546 @nelsonjedi

Answer 14

@geerky42

Answer 15

Highest possible value of sin(x) is 1, and lowest is -1. so when you are asked to find the maximum and minimum, you just plug in 1 and -1 respectively.

Answer 16

@geerky42 Still don't understand it

Answer 17

Finding the min and max isn't necessary for this one - just the period.

The period for a sine/cosine function of the form \(\sin bt\) is \(\dfrac{2\pi}{b}\). In this case, \(b=\dfrac{\pi}{5}\), so the period is
\[\frac{2\pi}{\frac{\pi}{5}}=\frac{10\pi}{\pi}=10\]

Answer 18

@SithsAndGiggles so the answer is which one

Answer 19

The one that says the period is 10. There's only one.

Answer 20

@SithsAndGiggles None of them have a period of 10

Answer 21

@SithsAndGiggles The equation you gave me .4 so it has a period of 8 either A or D, which one

Answer 22

You must be looking at a different question because I have no idea what you're talking about.

Answer 23

Oh sorry yeah it is right

Answer 24

i hate