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
Masteriza [31]
3 years ago
7

What is the probability of getting either a sum of 66 or at least one 66 in the roll of a pair of​ dice?

Mathematics
1 answer:
Sindrei [870]3 years ago
7 0
So I'm hoping you mean 6, or else the probability is 0. So the possible ways of getting a sum of 6 is 1&5, 2&4, 3&3, 4&2, 5&1. There are 36 different ways of rolling the dice, so divide the 5 possible ways by 36. Then, we need to add the possibility of getting at least one 6 in the roll. It doesn't matter what the other die is, so for each die, the probability is 1/6, and for both, the probability is 2/6. Add this to the probability of getting a sum of 6, and you get your answer.
You might be interested in
The axis of symmetry for the function f(x) = –2x2 + 4x + 1 is the line x = 1. Where is the vertex of the function located?
egoroff_w [7]

Answer:

(1, 3)

Step-by-step explanation:

You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola.  The first few steps are as follows.  Set the parabola equal to 0 so you can solve for the vertex.  Separate the x terms from the constant by moving the constant to the other side of the equals sign.  The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out).  Let's start there.  The first 2 steps result in this polynomial:

-2x^2+4x=-1.  Now we factor out the -2:

-2(x^2-2x)=-1.  Now we complete the square.  This process is to take half the linear term, square it, and add it to both sides.  Our linear term is 2x.  Half of 2 is 1, and 1 squared is 1.  We add 1 into the set of parenthesis.  But we actually added into the parenthesis is +1(-2).  The -2 out front is a multiplier and we cannot ignore it.  Adding in to both sides looks like this:

-2(x^2-2x+1)=-1-2.  Simplifying gives us this:

-2(x^2-2x+1)=-3

On the left we have created a perfect square binomial which reflects the h coordinate of the vertex.  Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:

-2(x-1)^2+3=y

From this form,

y=-a(x-h)^2+k

you can determine the coordinates of the vertex to be (1, 3)

5 0
3 years ago
Read 2 more answers
How do you write 208,000,478 in expanded form
Ket [755]
200,000,000+8,000,000+400+70+8=208,000,478

8 0
3 years ago
Read 2 more answers
Using the Multiplication Property of -1
Papessa [141]

A. -(a+5)

Because the negative sign is outside the parenthesis, multiplying by -1 just removes the negative sign:

-(a+5) * -1 = a+5


B. -(-x+31)

Apply the distributive property:

-(-x+31) becomes (- -x +31) which simplifies to (x+31)

multiply that by -1 to get -x+31


C. -(4x+12)

Because the negative sign is outside the parenthesis, multiplying by -1 just removes the negative sign:

-(4x+12) * -1 = 4x+12

7 0
3 years ago
Given: cos α = 4/5, sin β= 4/5, and α and β are both in quadrant 1. find sin (α+β)
mezya [45]
We have the formula (sin x)^2 + (cos x)^2 = 1;
Then, sin α = \sqrt{1-  ( \frac{4}{5}) ^{2} } =  \frac{3}{5} ;
cos β = \sqrt{1- ( \frac{4}{5}) ^{2} } = \frac{3}{5} ;
We apply the formula sin ( α + β ) = sin α x cos β + sin β x cos α = (3/5)x(4/5) + (4/5)x(3/5) = 12/25 + 12/25 = 24/25;
8 0
3 years ago
Write the missing base.
Tju [1.3M]

Answer:

blue = 4

red = 8

green = 2

yellow = .75 or 3/4

Step-by-step explanation:

4 X 4 X 4 X 4 = 256

8 X 8 = 64

2 X 2 X 2 X 2 = 16

.75 X .75 = .5625 or 9/16

5 0
3 years ago
Read 2 more answers
Other questions:
  • The angle of depression from an airplane to the top of an air traffic
    12·1 answer
  • Solve the inequality, -3 < n -8
    7·1 answer
  • Julie wrote the rate $108 in 6 weeks as a unit rate. Find her mistake and correct it.
    15·1 answer
  • 1. A ladder 17 feet long is leaned up against a house,
    8·1 answer
  • Convert r=2/7sinθ−cosθ to rectangular form.
    15·1 answer
  • AGHHHHHHHHH owowowowooowowowowowowwwwowoowoowoowoowowowowoowwowowowowowowowoowwowooowowowowoowwowowowowoowowwowoowowoowwwowowowo
    10·2 answers
  • 0.3d-1/3=0.84:7/15 if this my real number and giving 25
    13·1 answer
  • A. Find the slope of the line going through the points (-7, 7) and (3.-5).​
    15·1 answer
  • !PLEASE ANSWER ASAP! THANK YOU!
    15·1 answer
  • Help. Here's the question, could you please put the letter answer, please.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!