A fair die is tossed 5 times. Let $\dfrac{m}{n}$ be the probability that at least two consecutive tosses have the same number, where $m$ and $n$ are relatively prime positive integers. Find $m$.

Answers

Answer 1

The probability that no two consecutive heads will occur is 13/32.

What is probability?

It should be noted that probability simply means the likelihood of the occurence of an event based on chance.

In this case, the fair coin is tossed 5 times and we simony want it find the probability that no two consecutive heads will occur.

This will be:

Let n be the number of strings of h

Let t be the length n with two adjacent H's.

Therefore, the probability will be:

= (8+5)/2^5

= 13/32

In conclusion, the probability that no two consecutive heads will occur is 13/32.

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Related Questions

State whether the triangles are similiar if so write a similarly statement for brainliest

Answers

Answer:

Step-by-step explanation:

The triangles are not similar.

The Triangles are not similar

Which of the following indicates that ABC and DEF are similar?

Answers

Answer:

The answer of the question is b

Similar triangles are those triangles whose corresponding sides are in the same ratio. The correct option is A, ΔABC ~ ΔDEF.

What are similar triangles?

Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by the ‘~’ symbol.

For the two triangles, we can denote the similarity ΔABC ~ ΔDEF.

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A room has a perimeter of 40 feet. The length is 4 less than 2 times the width. What are the dimensions of the room?

Answers

Answer:

First, develop an equation for this scenario. The formula to find the perimeter of a quadrilateral is 2l+2w. Because the length is 4 less than twice the width, this would be translated to (2w-4). Plug this into the variable for the length to get 2(2w-4)+2w=40. Distribute the 2 to get 4w-8+2w=40. Add the like terms to get 6w-8=40. Add 8 to both sides and get 6w=48. Divide 6 to result with w=8.

Now that we know w, we can substitute 8 into the variable to solve for the length. 2l+2(8)=40. Multiply 8 and 2 to get 2l+16=40. Subtract 16 to both sides to get 2l=24. Divide 2 to both sides to result with l=12.

Length = 12 feet

Width = 8 feet

Select all the expressions equivalent to:
20a + 10b
a
5(4a + 2b)
b
10(2a + b)
C С
2(10a + 5)
2(10a + 5b)
Od
Оe
5(4a - 2b)

Answers

Answer:

5(4a + 2b)

10(2a + b)

2(10a + 5b)

Step-by-step explanation:

we are trying to find equations equivalent to (20a + 10b), so distribute

5(4a + 2b) = 20a +10b YES

10(2a + b) = 20a +10b YES

2(10a +5) = 20a + 10 NO

2(10a + 5b) = 20a +10b YES

5(4a - 2b) = 20a - 10b NO

0.009 in scientific notation

Answers

Answer:

9 x 10^-3

Step-by-step explanation:

What is the range of the function shown on the graph above

Answers

You did not attach a picture of the graph

Solve. Then, rewrite the complete number sentence in decimal form

Answers

Step-by-step explanation:

a)

6.9+1.1= 8

b)

9.9+2.45=12.35

[tex]12 \frac{35}{100} [/tex]

c)

2.4+8.9=11.3

[tex]11 \frac{3}{10} [/tex]

d)

6.37+7.7=14.07

[tex]14 \frac{7}{100} [/tex]

Which expression is equivalent to x^2 - 64?

Answers

Answer:

X= 8 and X=-8

Step-by-step explanation:

x^2-64

spilt into (x-8)(x+8)

set both equal to 0

0=x-8

x=8

0=x+8

x=-8

How can I know 20 digits of Π… ??

And not know the 10 digits of your phone number?

Answers

Answer - lol smooth 6273893

What is the equation for a line with a slope of 5 and a y-intercept of 11?

Answers

Answer:

y=5x+11

Step-by-step explanation:

10v2 + 50
o Linear binomial
o Constant binomial
Quadratic binomial
Quadratic trinomial

Answers

Answer:

So what is the question? probably to describe the polynomial 10v^2 + 50. okay. the polynomial is a quadratic (it is to the 2nd power) and a binomial (2 terms).

(x^2+3x^2-kx-24)÷(x+3) what's the value of k??​

Answers

Answer:

-4

Step-by-step explanation:

since x+3 is a factor of the polynomial (x^2+3x^2-kx-24), then;

x+3 = 0

x = -3

Substitute x = -3 into the polynomial

x^2+3x^2-kx-24 = 0

(-3)^2+3(-3)^2-(-3)k-24 = 0

9 + 27 + 3k - 24 = 0

36-24 + 3k = 0

12 = -3k

k = -12/3

k = -4

Hence the value of k is -4

Which of the following statements is NOT a property of parallelograms?
Opposite angles are congruent.
Opposite sides are parallel.
Parallelograms have 4 straight sides.
All sides are parallel.

Answers

Answer:its that all sides are parallell

Step-by-step explanation:

because it has two sets of parrallel sides all of them are not paralell

Answer:

All sides are parallel.

Step-by-step explanation:

shapes can't even be made if all the sides are parallel. The angles need to be added up to 360 degrees. There won't even be angles if all the lines are parallel. The opposite sides have to be parallel.

All rational numbers are whole numbers? True or false

Answers

Yes this is very true

Adele rides her bike 28 miles in 3.5 hours. How far has Adele traveled on her bike if she rides for 8 hours?

Answers

Answer:

64 miles

Step-by-step explanation:

if you divide 28 by 3.5, this gives you the number of miles per hour, I got 8. Multiply that by 8 because that is the number of hours we are looking for and you get 64. That is the answer.

-20 2 -6 -18 4 -4 put them from least to greatest

Answers

-20 -18 -6 -4 2 4 this is the answer
[-20, -18 , -6 , -4 , 2 , 4 ]

Bert is driving along a country road at a constant speed of 30 miles per hour. How long does it take for him to travel 50 miles?

Answers

30 miles/60 minutes = 50 miles/ x minutes
Cross multiply, and you have 3000 = 30x. x = 100 minutes, or 1 hour 40 minutes

The time of 1 hour 40 minutes Bert takes for him to travel 50 miles.

What is the distance?

Distance is defined as the product of speed and time.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that Bert is driving along a country road at a constant speed of 30 miles per hour

To determine the time it takes for him to travel 50 miles.

Let the time of x minutes it takes for him to travel 50 miles.

⇒ 30 miles/60 minutes = 50 miles/ x minutes

Cross multiplication apply in above equation,

⇒ 30x. x = 60x50

⇒ 3000 = 30x.

⇒ x = 100 minutes, or

1 hour 40 minutes

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1. simplify the following fractions: 12/36

Answers

Answer:

1/3

Step-by-step explanation:

12/36 = 6/18 = 3/9 = 1/3

The answer is 1/3. .

What is the slope of the line in the graph? HELPPPPPPPP WILL GIVE BRAINLYIST TO CORRECT ANSWER!!!!!

Answers

Answer:

(-1,1),(-2,-1)

Step-by-step explanation:

brainliest please

-2x^3+15x^2-22x-15; (x-3) polynomial function

Answers

Answer: Down Below

Step-by-step explanation: Solving for -2x^3 + 15x^2 - 22x - 15(x - 3) = 0

Standard form:

−2x3 + 15x2 − 37x + 45 = 0

Factorization:

−(2x − 9)(x2 − 3x + 5) = 0

Does the point (6, 0) satisfy the equation y = x + 6?
yes or no​

Answers

Answer:

No.

Step-by-step explanation:

You have to replace the (6,0) with the equation at hand. So, since 6 is in the X spot and 0 is in the Y spot, the equation would then look like 0=6+6. The equation is false as you can see.

No, this point does not lie on the line y = x + 6.

What is the general equation of a Straight line?

The general equation of a straight line is -

y = mx + c[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                                 {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)      {Two point - slope form}x/a + y/b = 1                                        {intercept form}x cos(β) + y sin(β) = L                         {Normal form}

We have the equation of line as -

y = x + 6

For point (6, 0), we can write -

0 = 6 + 6

0 ≠ 12

Therefore, no, this point does not lie on the line -

y = x + 6

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Erik used 28 centimeters of tape to wrap 7 presents. How much tape will Erik need in all if he has to wrap 12 presents? Solve using unit rates.

Answers

Answer:

Length of tape required to wrap 12 presents is 48 centimeters.

Step-by-step explanation:

Length of tape required to wrap 7 presents = 28 centimeters

Length of tape required to wrap 1 present = [tex]\frac{28}{7}=4[/tex] centimeters

Therefore,

Length of tape required to wrap 12 presents = 12 × Length of tape required to wrap 1 present

= 12 × 4

= 48 centimeters

What is the y-intercept

Answers

Answer:

-2

Step-by-step explanation:

hope this helps!!!!!!!?

Please help ❤️❤️❤️❤️❤️❤️❤️

Answers

Answer:

-3/7

Step-by-step explanation:

find two lattice points

the ones I found are (-3, 3) and (4, 0)

use the slope formula

(0-3)/(4-(-3)) = -3/7

Determine the equation that this graph represent

Answers

y= 3/2x + 3



and slope = rise/run
Y=3/2+3

I hope that’s right.

Which of the following could be the side lengths of a right triangle?

Question 1 options:

1 in, 2, in, 3 in


2 m, 5 m, 5 m


12 ft, 16 ft, 20 ft


3 in, 4 in, 6 in

Answers

Answer:

its C

Step-by-step explanation:

it cant be b because there would be no longest side

neither d or a because ive done the math for it

the sum of two numbers is 84 and one of them is 12 more than the other what are the two numbers​

Answers

The first number is x

The second number is y

So according to the given condition the sum of these two numbers is 84, so we can write

x+y=84 ————-(1)

Again one of them is more than 12 than the other that's why we can write,

x+12=y -------------(2)

Now putting the values of y in equation (1) we get,

x+x+12=84

=>2x+12=84

=>2x+12–12=84–12

=>2x=72

=>2x/2=72/2

=>x=36

Taking the value of x in equation(2) we get,

36+12=y

=>y=48

The two numbers are 48 and 36.

Check:

48+36=84

=>84=84

Also 48 =36+12; which is more than 12 of 36.

(3x3_10x=2x+20)=(x-3)

Answers

Answer:

is that 3 time 3 or it is 3x? do you meant minus by using underscore?

Step-by-step explanation:

Target sells 3 apples $1.50 what is the cost of 20 apples

Answers

Answer:

$10

Step-by-step explanation:

1.50 divided by 3 = 0.50

0.50 x 20 = 10

Which number makes the equation true?

blank divided by eighteen equals one third

Question 13 options:

32


24


12


6

Answers

Answer:

6

Step-by-step explanation:

x/18 = 1/3

3x = 18

x = 6

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