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QveST [7]
2 years ago
14

You roll a six-sided die. Find the probability of each of the following scenarios

Mathematics
1 answer:
romanna [79]2 years ago
6 0

Answer:

a) 1/2

b) 5/6

c) 2/3

Step-by-step explanation:

a)

Rolling a number greater than 3 means you can roll a 4, 5, or 6, which contains rolling a 6. So, the probability is (1+1+1)/6=3/6=\boxed{1/2}

b)

Rolling a number less than 5 means you can roll a 1, 2, 3, or 4, but because you could also roll an even number, so you could also roll a 6.

So, the probability is (1+1+1+1+1)/6=\boxed{5/6}

c)

Rolling a 4 or an odd number means you can roll a 1, 3, 5, or 4. So, the probability is (1+1+1+1)/6=4/6=\boxed{2/3}

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Please help! Thank you so much.
inysia [295]

Answer:

4 over 5

Step-by-step explanation:

its 4 over 5 because your going to get a decimal and the other answers you will get a integer which the question isnt asking for so the answer is 4 over 5

4 0
3 years ago
Integration of sin^2 2x cos^3 2x dx
lilavasa [31]

\int\left[\sin^2(2x)\cos^3(2x)\right]dx=\int\left[\sin^2(2x)\cos^2(2x)\cos(2x)\right]dx\\\\\text{Use the trigonometric identity}\sin^2(x)+\cos^2(x)=1\to\cos^2(x)=1-\sin^2(x)\\\\=\int\left\{\sin^2(2x)[1-\sin^2(2x)]\cos(2x)\right\}dx\\\\\text{substitute}\ \sin2x=t\ \to\ 2\cos2x\ dx=dt\ \to\ \cos2x\ dx=\dfrac{1}{2}\ dt\\\\=\dfrac{1}{2}\int\left[t^2(1-t^2)\right]dt=\dfrac{1}{2}\int(t^2-t^4)dt=\dfrac{1}{2}\left(\dfrac{1}{3}t^3-\dfrac{1}{5}t^5\right)+C


=\dfrac{1}{2}\left(\dfrac{1}{3}\sin^3(2x)-\dfrac{1}{5}\sin^5(2x)\right)+C

4 0
3 years ago
How to Write this number out 100,203
Sergeeva-Olga [200]
One hundred thousand two hundred and three
5 0
3 years ago
If an object falls 40 meters in 4 seconds,how far will it fall in6 seconds​
sweet [91]

Answer:

60 seconds

Step-by-step explanation:

step 1.) find how many meters it falls per second

          40m / 4sec = 10m/s

step 2.) use the equation above to find in terms of the question

          10m/s for 6sec = 10 x 6 ====> 60 seconds

4 0
2 years ago
It takes 3/4 tsp. of vanilla to make a batch of cookies. How many tsp. would I needed for 4 batches of cookies?
IRISSAK [1]

Answer:

3/1 tsp. or 3 tsp.

Step-by-step explanation:

3/4 times 4

7 0
2 years ago
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