Determine the domain of the function graphed above.

Answer: Option E is the correct answer; (1 + p⁴) / (1 + p³)

Step-by-step explanation:

P (3 head) = P(first and 3 heads) + P(second coin and 3 heads)

= (1/2)×1³ + (1/2)× p³ = (1/2) × (1 + p³)

therefore P(first coin given 3 heads) = (1/2)×1³/ ((1/2)×(1 + p³))

= 1 / (1 + p³)

Also P( second coin given 3 heads) = p³ /(1 + p³)

therefore P(4th toss in heads given first 3 are heads)  will be;

= P(first and 4th toss heads) + P(second and 4th toss heads)

=(1/( 1 + p³ )) × 1 + p³ / (1+p³) × p

= (1 + p⁴) / (1 + p³)

Therefore Option E is the correct answer

Answer:

??

Step-by-step explanation:

Answer:

2 3/4 or 2.75

Step-by-step explanation:

Answer: B

Step-by-step explanation: i googled it

Answer:

20 questions

Step-by-step explanation:

10 divided by 20 is 0.9 which would be 90%

Answer:

Step-by-step explanation:

1/4 * 2/3 = 2 / 12 = 1/6

Answer:

It stays true because it stays the same amount so B would be the correct answer.

Step-by-step explanation:

Answer:

The answer is 7.25

Step-by-step explanation:

I suggest you search for, "khan academy slope."

Hope this helps :)

Answer:

Step-by-step explanation:

I'm answering this silly thing only because it seems to have an expected answer

B: is about the only answer you cannot give.

C and D are Both open ended at 15 which doesn't allow you to say that the first acceptable answer is 16

The only answer you can pick is A. The amount starts at 15 and you keep going until you hit 70. That doesn't mean you have to stop. It just means that it represents what he desires to make.

Answer:

The slides is 36 and the angle is 180.

Step-by-step explanation:

14.4m+15.6m+6m=36

90+30+50=180  

If they ask why it is 180 because when adding all the angles it has to give you a total of 180.

Answer:

20

Step-by-step explanation:

Answer:

4. 3

The answer is the last option, all you do is reduce

Step-by-step explanation:

rise over run = rise/run = 6/2

reduce,

6/2

3/1

3x

Answer:

I helped

Step-by-step explanation:

you okay do can I get some points cuh

Answer:

with what?? >_>

Answer:

0.8

Step-by-step explanation:

Answer:

8/10

Step-by-step explanation:

5/5 is equivalent to 1 whole or one.

So all your suppose to do is 1 minus 2/10 which is 8/10.

Hope that helps

↖(^ω^)↗

Answer:

0.667

Step-by-step explanation:

Given that :

Head is twice more likely to occur than a tail.

P(head) = p(H) = 2/3

P(tail) = p(T) = 1/3

If coin is tossed 3 times :

P(H = 0) :

1st toss = tail ;2nd toss = tail ; 3rd toss =. Tail

(1/3) * (1/3) * (1/3) = 1 / 27

P(H= 1)

HTT, THT, TTH

(2/3 * 1/3 * 1/3) + (1/3 * 2/3 * 1/3) + (1/3 * 1/3 *2/3)

= 2/27 + 2 /27 + 2/27

= 6/27 = 2/9

P(H=2)

HHT, HTH, THH

(2/3 * 2/3 * 1/3) + (2/3 * 1/3 * 2/3) + (1/3 * 2/3 * 2/3)

= 4/27 + 4/27 + 4/27

= 12 / 27

= 4 /9

P(H = 3)

HHH

(2/3 * 2/3 * 2/3)

= 8 / 27

X ___ 0 ___ 1 ____ 2 ____ 3

P(x) _ 1/27 _ 2/9 __ 4/9 __ 8/27

E(X) = (0 * (1/27)) + (1 * (2/9)) + (2 * (4/9)) + (3 * (8/27)) = 2

E(X) = 2

Var(X) = Σx²p(x) - E(X)²

= (0^2 * (1/27)) + (1^2 * (2/9)) + (2^2 * (4/9)) + (3^2 * (8/27)) - 2^2

= 4.667 - 4

= 0.667

Hence, Var(x) = 0.667

Answer:

52 cards:

26 red and 26 black

P(R) = probability of picking a red card

P(B) = probability of picking a black card

P(R) = P(B) = ¹/₂

If with replacement:

P(R∩B) = (¹/₂)(¹/₂) = ¹/₄

If without replacement:

P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁

8 Balls:

3 red and 5 white

P(R) = probability of picking a red ball

P(W) = probability of picking a white ball

P(R) = ³/₈

P(W) = ⁵/₈

If with replacement:

P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)

= ¹⁵/₆₄ + ¹⁵/₆₄

= ³⁰/₆₄

= ¹⁵/₃₂

If without replacement:

P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)

= ¹⁵/₄₂ + ¹⁵/₄₂

= ³⁰/₄₂

= ⁵/₇

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=9,\:y=13[/tex]

the option 'd' is correct.

Step-by-step explanation:

Given the system of the equations

[tex]\begin{bmatrix}5x-3y=6\\ 6x-4y=2\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}5x-3y=6\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:30x-18y=36[/tex]

[tex]\mathrm{Multiply\:}6x-4y=2\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:30x-20y=10[/tex]

[tex]\begin{bmatrix}30x-18y=36\\ 30x-20y=10\end{bmatrix}[/tex]

[tex]30x-20y=10[/tex]

[tex]-[/tex]

[tex]\underline{30x-18y=36}[/tex]

[tex]-2y=-26[/tex]

[tex]\begin{bmatrix}30x-18y=36\\ -2y=-26\end{bmatrix}[/tex]

solve for y

[tex]-2y=-26[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-2[/tex]

[tex]\frac{-2y}{-2}=\frac{-26}{-2}[/tex]

[tex]y=13[/tex]

[tex]\mathrm{For\:}30x-18y=36\mathrm{\:plug\:in\:}y=13[/tex]

[tex]30x-18\cdot \:13=36[/tex]

[tex]30x-234=36[/tex]

[tex]30x=270[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}30[/tex]

[tex]\frac{30x}{30}=\frac{270}{30}[/tex]

[tex]x=9[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=9,\:y=13[/tex]

Therefore, the option 'd' is correct.

Answer:

3/10 = x or 0.3 = x

Step-by-step explanation:

2.1 /  x + 1 4/5 = 3 / 10x

1. first cross multiply and solve it normally:

3 (x + 1 4/5) = (2.1) 10x

3x + 5 2/5 = 21x

-3x               -3x

5 2/5 = 18x

3/10 = x or 0.3 = x

these questions are kind annoying to solve because of the fractions, so if you can, use a calculator to solve them! its much easier!

hope this helps!

Answer:

x = 3/10 = 0.3

Step-by-step explanation:

{(2.1)/(x+1 4/5)} = 3/10x

x + 1 4/5 = x + 5/5 + 4/5 = x + 9/5

then:

(2.1)/(x+9/5) = 3/10x

10x*2.1 = 3(x+9/5)

21x = 3x+ 27/5

21x - 3x = 27/5

18x = 27/5

90x/5 = 27/5

90x = 27

x = 27/90

x = 3/10 = 0.3

Answer: (B) Addison can eliminate $45 from Food/Clothes and $41 from Entertainment.

Based on the information given, Addison should eliminate $45 from the money budget for Food/Clothes ($445.00) and $41 from Entertainment ($270.00).

Given the following data:

Mathematically, the monthly payment for a credit card can be calculated by using this formula:

[tex]M=P(\frac{r}{1-(1+r)^{-nt}} )[/tex]

Where:

In this scenario, Addison should eliminate $45 from the money budget for Food/Clothes ($445.00) and $41 from Entertainment ($270.00) because they are the least cuts to her current expenses and they would avail her an opportunity to pay off her balance in 24 months (2 years).

Read more on monthly payment here: https://brainly.com/question/2151013

Answer:

Step-by-step explanation:

The formula for  calculating the amount after t years is expressed as;

A = P(1+r/n)*nt

P is the Principal (amount invested) = $300

r is the rate = 7% = 0.07

t is the time used to save = 11 years

n is time of compounding = 1/4 (quarterly)

Substitute;

A = 300 (1+0.07/(1/4))^(1/4)(11)

A = 300(1+4(0.07))^2.75

A = 300(1+0.28)^2.75

A = 300(1.28)^2.75

A = 300(1.9716)

A = 591.49

Hence the amount that will be in her account after 11 years is $591.49

Answer:

The width of the is 4 inches

Step-by-step explanation:

Assume that the width of the frame is x

∵ The width of the fame is x inches

→ That means each dimension will increase by 2x ⇒ x from each side

∵ The portrait has dimensions of 30“ x 60“

∴ Its dimensions including the frame = (30 + 2x) × (60 + 2x)

∴ The total area of the portrait plus frame = (30 + 2x)(60 + 2x)

→ Multiply the brackets

∵ (30 + 2x)(60 + 2x) = 30(60) + 30(2x) + 2x(60) + (2x)(2x)

∴ (30 + 2x)(60 + 2x) = 1800 + 60x + 120x + 4x²

→ Add the like terms

∴ (30 + 2x)(60 + 2x) = 1800 + 180x + 4x²

∴ The total area of the portrait plus frame = 4x² + 180x + 1800

∵ The total area of the portrait plus frame = 2584 square inches

→ Equate the two right sides of the area

∴ 4x² + 180x + 1800 = 2584

→ Subtract 2584 from both sides

∴ 4x² + 180x + 1800 - 2584 = 0

→ Add the like terms in the left side

∴ 4x² + 180x - 784 = 0

→ Divide all terms by 4 to simplify

∴ x² + 45x - 196 = 0

→ Factorize it to find the value of x

∵ x² + 45x - 196 = (x - 4)(x + 49)

→ Equate the right side by 0

∴ (x - 4)(x + 49) = 0

→ Equate each factor by 0

∵ x - 4 = 0  

→ Add 4 to both sides to find x

∴ x = 4

∵ x + 49 = 0

→ Subtract 49 from both sides to find x

∴ x = -49 ⇒ refused it x can not be -ve (no negative dimensions)

∴ The width of the is 4 inches

Answer:

1 hour 29 minutes and 29 seconds

Step-by-step explanation:

We need to find the circumference of the two semicircles of the track (which forms a full circle of radius 40m):

pi×40×2 = 80pi

The total length of the track to be travelled would be:

(80pi+130+130) × 42 = (80pi+260) ×42

                       = 21 476m (Rounded to 5 s.f.)

80m/20s

1s = 80÷20

   = 4m

For every 1 second, Kat travels 4m.

Total Time taken:

21 476÷4 = 5369 seconds

               = 1 hour 29 minutes and 29 seconds

Answer:

30 remainder 1 or 30.5

Step-by-step explanation:

please make me brainliest

Answer:

dependent care FSA

Health FSA

IRA

Step-by-step explanation:

Answer:

Adjacent angles are two angles in the same plane with a common  VERTEX and a common  SIDE but no common interior points.

Step-by-step explanation:

Adjacent angles share a common side on the same vertes, but they do not overlap each other.

In the attached image, ∠ABD is adjacent to ∠DBC, but ∠ABC is not adjacent to any of them.