1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sveticcg [70]
2 years ago
14

Two 6-sided dice are rolled. what is the probability that the sum of the two numbers on the dice will be greater than 8?

Mathematics
1 answer:
Serhud [2]2 years ago
6 0

Answer: 5/18

Step-by-step explanation:

The sample space when two 6- sided dice are rolled is given below:

(+) 1 2 3 4 5 6

1 2 3 4 5 6 7

2 3 4 5 6 7 8

3 4 5 6 7 8 9

4 5 6 7 8 9 10

5 6 7 8 9 10 11

6 7 8 9 10 11  12

The total sample space is 36.

Sum greater than 8 are : {9,10,11,12}

which are 10 in number:

Therefore : the probability that the sum of the two numbers on the dice will be greater than 8 will be :

number of the sum greater than 8 / Total sample space

That is ;

P(sum greater than 8) = 10/36

P(sum greater than 8) = 5/18

You might be interested in
What is the answer to my question
Vedmedyk [2.9K]
672 cm³
Step-by-step explanation:
10x7x9=630
2x3x7=42
630+42=672
5 0
3 years ago
Simplify and write the trigonometric expression in terms of sine and cosine: sinx + cotx cosx=1/f(x)
Lemur [1.5K]

Answer:

Step-by-step explanation:

cot(x)=cos(x)/sin(x)

sin(x) + cos(x) * cos(x)/sin(x) = 1/f(x)

(sin^2 + cos^(x))/sin(x) = 1 / f(x)

1 / sin(x) = 1 / f(x)

Taking the reciprocal of both sides, we get

sin(x) = f(x)

3 0
3 years ago
You throw a ball at a height of 6 feet above the
Alexandra [31]

Answer:

0.375 second and 3.5 second

Step-by-step explanation:

The position can be modeled by a quadratic function \displaystyle{h=-16t^2+62t+6}. We are tasked to find the time when a ball reaches a height of 27 feet. Therefore, let h = 27:

\displaystyle{27=-16t^2+62t+6}

Solve for t:

\displaystyle{27-6=-16t^2+62t}\\\\\displaystyle{21=-16t^2+62t}\\\\\displaystyle{16t^2-62t+21=0}

Since the equation is quite complicated and more time-consuming to solve, i'll skip the factoring or quadratic part:

\displaystyle{t=0.375, 3.5}

After done solving the equation, you'll get t = 0.375 and 3.5 seconds. These solutions are valid since both are positive values and time can only be positive.

Hence, it'll take 0.375 and 3.5 seconds for a ball to reach 27 feet.

3 0
2 years ago
Help me please with this math problem.
lukranit [14]
Area= bh/2
2/5 = (b(6/5))/2
4/5 = b(6/5)
4/6 = b
6 0
2 years ago
The vertices of a triangle are P(-7, -4), Q(-7, -8), and R(3, -3). Name the vertices of the image reflected across the line y=x.
Aleksandr-060686 [28]
The answers are:
P ' = (-4,-7)
Q ' = (-8,-7)
R ' = (-3,3)

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

All you do is swap the x and y coordinates of the given points P, Q and R

The general rule is (x,y) ---> (y,x)

So that's why something like P = (-7,-4) becomes P ' = (-4,-7) when we reflect over the line y = x. The other points are handled the same way.
3 0
3 years ago
Other questions:
  • A rectangular prism is 11 3/5 meters long, 9 meters wide, and 12 1/2 meters high. What is the volume, in cubic meters, of the pr
    14·1 answer
  • In this parallelogram m angle bad =75 so m angle bcd
    6·1 answer
  • Y=–3x + 6 y=9
    10·1 answer
  • Write the equation of the line in point-slope form given the line runs through the points (-1, -3) and (2, 3). ***rewrite in slo
    7·1 answer
  • Can someone help me please):
    15·1 answer
  • What concepts do you think belong in Geometry of mathematics?
    10·1 answer
  • A number N is greater than 3. Which of the following best represents the location of 3N
    7·1 answer
  • What is the domain of f/g, given f(x)=x+8 and g(x)=x-3?
    8·2 answers
  • I need help with this one??
    8·1 answer
  • Simplify square root of -13
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!