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4 years ago

Two fair six-sided dice are rolled. What is the probability that the sum of the numbers rolled is either 7 or 11?

Mathematics

1 answer:

Llana [10]4 years ago

8 0

There is 36 ways the dice come up, 6 for each dice. thats 8/36 or 2/9. :)

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6x - 3 = 3( 2x - 1 ) what is the answer need it fast please and thank you

Andrew [12]

Answer:

Any number for x will work

Step-by-step explanation:

6x-3=3(2x-1)

expand

6x-3=6x-3

add three to both sides

6x=6x

simplify

x=x

Therefore any number for x will work

6 0

3 years ago

Read 2 more answers

Solve sin 0 + 1 = cos20 on the interval 0 ≤ 0 < 2pi. Show work please!

yan [13]

Answer:

$\theta=\frac{\pi}{2},\frac{3\pi}{2}\frac{2\pi}{3}\frac{4\pi}{3}$

Step-by-step explanation:

You need 2 things in order to solve this equation: a trig identity sheet and a unit circle.

You will find when you look on your trig identity sheet that

$cos(2\theta)=1-2sin^2(\theta)$

so we will make that replacement, getting everything in terms of sin:

$sin(\theta)+1=1-2sin^2(\theta)$

Now we will get everything on one side of the equals sign, set it equal to 0, and solve it:

$2sin^2(\theta)+sin(\theta)=0$

We can factor out the sin(theta), since it's common in both terms:

$sin(\theta)(2sin(\theta)+1)=0$

Because of the Zero Product Property, either

$sin(\theta)=0$ or

$2sin(\theta)+1=0$

Look at the unit circle and find which values of theta have a sin ratio of 0 in the interval from 0 to 2pi. They are:

$\theta=\frac{\pi}{2},\frac{3\pi}{2}$

The next equation needs to first be solved for sin(theta):

$2sin(\theta)+1=0$ so

$2sin(\theta)=-1$ and

$sin(\theta)=-\frac{1}{2}$

Go back to your unit circle and find the values of theta where the sin is -1/2 in the interval. They are:

$\theta=\frac{2\pi}{3},\frac{4\pi}{3}$

7 0

3 years ago

Simplify to using laws of exponents (-2)^2(-2)^5

MAVERICK [17]

Answer:

-128

Step-by-step explanation:

(-2)^2 * (-2)^5 <---

First, add the exponents

(-2)^7<----

If you evaluate this you will get

-128

7 0

3 years ago

Read 2 more answers

Please help and thx I will mark brainlest And don’t just guess Answer #4

Effectus [21]

Answer:

4. D

Step-by-step explanation:

$y=-5$ is just a graph of a constant, meaning that it has a slope of 0 and does not change.

5 0

3 years ago

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A 12-team soccer league has $7,260 to award as prize money. the team that finishes in last place will receive $220, and the priz

Anestetic [448]

Answer: $ 990

Step-by-step explanation:

Since, the total number players, n = 12,

The least amount got by one team, a= $ 220

Let there is a successive difference of d,

Thus, the given situation forms an AP,

In which sum of the AP, $S_n= \frac{12}{2}[2\times 220 + (12-1)d]$

But, According to the question,

$S_n = $ 7260$

⇒ $\frac{12}{2}[2\times 220 + (12-1)d]=7260$

$6[440 + (11)d]=7260$

$440 + 11 d=1210$

$11 d =770$

$d = 70$

Thus, the successive difference, d = $ 70

⇒ The amount of first price,

$a_{12} = 220 + (12-1)\times 70 = 220 + 770 = \$ 990$

6 0

3 years ago