A fair coin is flipped 5 times
What is the probability that no two consecutive flips have the same result?
Express ur answer as a common fraction

HELP ME!!

9514 1404 393

Answer:

  p = 3x+10

Step-by-step explanation:

The attached diagram pretty much explains it.

The unknown dimension at the top was the subject of a previous problem. It is the difference in length between the two marked horizontal segments:

  (2x +15) -(x) = x +15 . . . . . length of unmarked solid horizontal line

Similarly, the length of the unmarked vertical line on the right is the difference between the marked vertical lines:

  (2x -5) -(x -5) = x . . . . . length of unmarked solid vertical line

__

The formula for the area of a rectangle is used to find the areas of the left-side and right-side rectangles. Respectively, those areas are ...

  left-side area = x(2x -5)

  right-side area = x(x +15)

Then the total area enclosed by the solid line is ...

  x(2x -5) +x(x +15) = x(2x -5 +x +15) = x(3x +10)

__

The area of the lot extension is the product of its dimensions:

  extension area = x·p

We want this to be the same as the area in the solid line, so ...

  x·p = x·(3x +10)

Dividing by the coefficient of p (which is x), we have ...

  p = 3x +10

Answer:

Bearing in the mind that an ossicle triangle has twin sides and coming out of the vertex they make twin angles at the base check the picture out

Step-by-step explanation:

Same way with 42

Answer:

1536 and 6144

Step-by-step explanation:

you are multiplying by 4

I hope this helps you to understands better

The next two-term of the sequence is 1536 and 6144 and the multiplicity is 4

Given the sequence of numbers expressed as 6, 24, 96, 384, ...

The given sequence is a geometric sequence. The nth term of the sequence is expressed as;

[tex]T_n = ar^{n-1}[/tex]

a is the first term

r is the common ratio or multiplicity

n is the number of terms

Given the following parameters

a = 6

r = 24/6 = 96/24 = 4

n = 5 and 6 (5th and 6th term)

For the fifth term;

[tex]T_{5} = 6(4)^{5-1}\\T_5=6(4)^4\\T_5 = 1536[/tex]

For the sixth term;

[tex]T_{6} = 6(4)^{6-1}\\T_6=6(4)^5\\T_6 = 6144[/tex]

Hence the next two-term of the sequence is 1536 and 6144 and the multiplicity is 4

Learn more here: https://brainly.com/question/9300199

Answer:

[tex]f(x)=5x^2+25x-30[/tex]

Step-by-step explanation:

Quadratic Equation

If the roots of a quadratic equation are known, we can form the equation as follows:

[tex]f(x)=a(x-x_1)(x-x_2)[/tex]

where x1 and x2 are the known roots, and a is the leading coefficient.

We are given the roots as x1=1 and x2=-6, and the leading coefficient as a=5, thus:

[tex]f(x)=5(x-1)(x+6)[/tex]

Operating:

[tex]f(x)=5(x^2-x+6x-6)[/tex]

Simplifying:

[tex]f(x)=5(x^2+5x-6)[/tex]

Multiplying:

[tex]\mathbf{f(x)=5x^2+25x-30}[/tex]

Answer:

The first deal is the best deal. After the sales tax, the second deal is the better deal. I hope this helps!!

Answer:

978678

Step-by-step explanation:

kjgh

Answer:

0.243

Step-by-step explanation:

Given that :

Probability of success (p) = 76% = 0.76

Number of free throws (n) = 10

Probability of making 7 free throws = r

Using binomial distribution :

nCr * p^r * (1 - p)^(n-r)

10C7 * 0.76^7 * (1 - 0.76)^(10 - 7)

10C7 * 0.76^7 * 0.24^3

120 * 0.14645 * 0.013824

= 0.24294

Hence probability of making 7 free throws from 10 is 0.243

Answer:

MK

Step-by-step explanation:

Answer: 1 1/8 teaspoons

Step-by-step explanation:

1 person = 3/8 teaspoons

3/8 x 3 = 1 1/8 teaspoons

Answer:

Step-by-step explanation:

The measure of angle 1 is equal to the measure of angle 2, its proved by using the theorem angle of tangency using arc measure.

Let A be a point on a circle and B be the point where a tangent (passing through B and C) intersects the circle. Then, the angle of tangency ∠ABC is half of the measure of the arc AB formed on the same side.

Given that, Arc AB= Arc CD in circle P.

Here, Arc AB= 1/2 ×m∠1 ------(i)

Arc CD= 1/2 ×m∠2 ------(ii)

Equation (i) and (ii) are equal, we get

1/2 ×m∠1=1/2 ×m∠2

m∠1=m∠2

Hence, proved.

To learn more about the circle theorems visit:

https://brainly.com/question/19906313.

#SPJ5

"Your question is incomplete, probably the complete question/missing part is:"

Arc AB= Arc CD in circle P.

Prove that, m∠1=m∠2

Answer:

B (-3)

Step-by-step explanation:

Good Luck!

Answer:

You are correct. Remember: rise over run.

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

Answer:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

the 2 and 1 represent which number they are in a series of points. For example, if I were to have points (1,2) and (3,4)

4 would be [tex]y_2[/tex] meaning it is the second y value

2 would be [tex]y_1[/tex] meaning it's the first y value

Same goes for x

3 is [tex]x_2[/tex]

1 is [tex]x_1[/tex]

so the equation for slope is [tex]\frac{4-2}{3-1}[/tex], or 1

Answer:

Step-by-step explanation:

51 feet / 1.5 = 34 bags needed minimum

But trini needs more than 51 bags so:

X>34 is the answer

Answer:

I believe it it 13 miles per hour.

Step-by-step explanation:

       We know that an object travels 270 miles, so the rate is 270 miles.

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

                                                      6 hours

1 mile = 5,280 feet                                            1 day = 24 hours

5,280 x 270 = 425,600                                    1 hour = 3600 seconds

270 miles = 425,600 feet                                 3600 x 6 = 21,600

                                                                           3600 x 24 = 86,400

  Fraction:                                                                  Fraction:

425,600 feet        4,256 ft                                      21,600 sec           1

     -------          =       -----                                             ------------   =     --------  hour

 5,280 feet            528 ft                                        86,400 sec           4

4,256/528 ÷ 1/4 = 4,256/528 x 4/1 (reciprocal) = 17,024/528 = 439/33 = 13

Hope this helps! :)

Answer:

Side AB is 13 plots long.

Step-by-step explanation:

Square sides A and side B

12 x 12 = 144

5 x 5 = 25

Now add the sides together. Then, find the square root of the sum.

144 + 25 = 169

[tex]\sqrt{169}[/tex] = 13

Check your work:

13 x 13 = 169

Answer:

boys = 15

girls = 18

---

Step-by-step explanation:

g/b = 6/5

g = (6/5)b

g + b = 33

---

g + b = 33

(6/5)b + b = 33

(6/5)b + (5/5)b = 33

(11/5)b = 33

---

b = 33(5/11)

---

Answer:

18 girls

Step-by-step explanation:

Because you have to add the 5 and 6 to get 11. And then you divide the total amount of students (33) by the 11 you got earlier which you get a 3 from.Then you multiply the 3 times the number of girls (6) to get 18 girls. And you would multiply the 3 times the 5 if you wanted to find the number of boys in the art class.

Have a most wonderful day!!

Answer:

f(-2)=2

Step-by-step explanation:

Replace all x’s with -2’s.

f(-2)=4(-2)+10

f(-2)=-8+10

f(-2)=2

The answer is 2

Answer:

28

Step-by-step explanation:

-(-9) -8(6-2)

-(-9)-8(4)

-(-9)-32

9 - 32

28

Answer:

1 hour and 12 mins

Step-by-step explanation:

Answer:

Independent Events

Step-by-step explanation:

Independent Events are events which do not affect each other.

HTH :)

Answer:

Exact form: x = 27/5

Decimal form: x = 5.4

Mixed-number form: x = 5 2/5

Step-by-step explanation:

hope this helps :)

Answer:

You can put this solution on YOUR website!

the inequality is 500 - 25x >= 200

this insures that he will have at least 200 at the end of the summer.

subtract 200 from both sides of that inequality and add 25x to both sides of that inequality to get 500 - 200 >= 25x

simplify to get 300 >= 25x

divide both sides of that equation by 25 to get 300 / 25 >= x

simplify to get 12 >= x

12 >= x means x <= 12.

when x is smaller than or equal to 12, he will be guaranteed to have at least 200 in the account at the end of the summer.

when x = 12, what is left in the account is 500 - 25 * 12 = 200.

when x = 11, what is left in the account is 500 - 25 * 11 = 225.

when x = 13, what is left in the account is 500 - 25 * 13 = 175.

the maximum number of weeks he can withdraw money from his account is 12.

Step-by-step explanation:

Answer:

7x+1

Step-by-step explanation:

Answer:

A. y + 1 = -3(x - 4)

Step-by-step explanation:

If the equations are perpendicular, then that means they have the same slope, just with the opposite sign. In this case, the given equation's slope is 3, which means that the other equation's slope is -3. Now that we know the slope and one point, we can write the equation in point-slope form:

y - y1 = m(x - x1)

y - (-1) = -3(x - 4)

y + 1 = -3(x - 4)

The equation in point-slope form is answer choice A. y + 1 = -3(x - 4).

Hope this helps :)

Answer:

$65

Step-by-step explanation:

Let

x = original price of the item

Mai buys one item and saves $13,

This means 20% of the original price of the item = $13

20% of x = 13

20/100 * x = 13

0.2 * x = 13

0.2x = 13

Divide both sides by 0.2

x = 13 / 0.2

= 65

x = $65

Therefore, the original price of the item is $65

Answer:

Given bivariate data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.

Step-by-step explanation:

Answer:

Sample Answer: Given bivariate data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.

Step-by-step explanation:

its from edge

12. 5x² - 180 = 0

5x² = 0 + 180

5x² = 180

x² = 180/5

x² = 36

x = √36

x = 6

13. 3x² - 100 = 332

3x² = 332 + 100

3x² = 432

x² = 432/3

x² = 144

x = √144

x = 12

14. ⅔x² - 8 = 16

⅔x² = 16 + 8

⅔x² = 24

2x² = 24 × 3

2x² = 72

x² = 72/2

x² = 36

x = √36

x = 6

15. ½x² - 5 = 5

½x² = 5 + 5

½x² = 10

x² = 10 × 2

x² = 20

x = √20

16. x² + 1 = 3x² - 13

1 + 13 = 3x² - x²

14 = 2x²

14/2 = x²

7 = x²

√7 = x

17. 2(x² + 4) = 10

2x² + 8 = 10

2x² = 10 - 8

2x² = 2

x² = 2/2

x² = 1

x = √1

x = 1

18. 3(x² - 1) = 9

3x² - 3 = 9

3x² = 9 + 3

3x² = 12

x² = 12/3

x² = 4

x = √4

x = 2

19. 2(x + 3)² = 8

2(x² + 3² + 2×x×3) = 8

2(x² + 9 + 6x) = 8

2x² + 18 + 12x = 8

2x² + 12x = 8 - 18

2x² + 12x = -10

2(x² + 6x) = -10

x² + 6x = -10/2

x(x + 6) = -5

x + 6 = -5/x

6 = -5/x - x

6 = -5/x - x²/x

6 = (-5 -x²)/x

6x = -5 - x²

11 is b because the bottom needs to be 5 to dived the amount by 5 minutes and the top is the amount of words she types in 5 minutes