ASAP!!!

Every day, Jorge buys a lottery ticket. Each ticket has a probability of 0.2 of winning a prize. After seven days, what is the probability that Jorge has won at least one prize? Round your answer to four decimal places.


(a) The probability that Jorge has won at least one prize is ____.

Answers

Answer 1

Step-by-step explanation:

the probability to win is 0.2.

the probability to lose is 1-02 = 0.8.

there is no sure win after at least n trials.

on day 1 the probability to win is 0.2.

on day 2 the probability to win at least once is

the probability to have won on day 1 but not on day 2, plus the probability to have won on day 2 but not on day 1 plus the probability to have won on both days :

0.2×0.8 + 0.8×0.2 + 0.2×0.2 = 0.32 + 0.04 = 0.36

...

on day 7 we have

the probability to have won on one day but not on 6 days times the combination of picking 1 day out of 7,

plus the probability to have won on 2 days but not on 5 days times the combinations to pick 2 out of 7,

plus the probability to have won on 3 days but not on 4 days times the combinations to pick 3 out of 7,

...

plus the probability to have won on all 7 days.

that is

0.2.×0.8⁶ × 7 +

+ 0.2²×0.8⁵ × C(7, 2) +

+ 0.2³×0.8⁴ × C(7, 3) +

+ 0.2⁴×0.8³ × C(7, 4) +

+ 0.2⁵×0.8² × C(7, 5) +

+ 0.2⁶×0.8 × 7 +

+ 0.2⁷

but before we lose ourselves in tons of little operations, this is the same as the opposite of having lost on all 7 days.

that is

1 - 0.8⁷ = 1 - 0.2097152 = 0.7902848 ≈ 0.7903

so, the probability that Jorge has won at least one prize is

0.7903


Related Questions

How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm? more than one none one

Answers

Answer:

None

Step-by-step explanation:

By using the equation a^2 +b^2=c^2 we can see if it will work.

Substitute a for 6 and b for 2 to get 6^2+2^2=40

when you [tex]\sqrt{40}[/tex] you don't get 7 therefore you cant make any triangles

A bread recipe contains 60g of butter, 40g of salt and 100g of flour.

a) Determine what fraction of the ingredients is butter. Simplify if possible.

b) Express this fraction as a decimal.

c) What percentage of the ingredients are salt and flour?

Answers

Step-by-step explanation:

a.

add up all the grams to get the total

60 + 40 + 100 = 200

butter is 60 out of 200 or

60/200 or (divide top & bottom by 20)

3/10 = answer

b.

3 ÷ 10 =

.33 = answer

c.

salt =

40 ÷ 200 = 1/5 = .20 =

20% = answer

flour

100 ÷ 200 = 1/2 = .50 =

50% = answer

Amiya has 8 more stamps than Huiling. Ravi has twice as many stamps as Amiya. Amiya and Ravi have 72 stamps altogether. How many stamps does Huiling have?

Answers

Amiya = xRavi = 2x

Amiya + Ravi = 72

x + 2x = 72

3x = 72

x = 72/3

x = 24

therefore Amiya has 24 stamps

Huiling has 8 more than Amiya = 24 + 8 = 32stamps

hope it helps...!!!

Consider the equation:
x^2= -8x – 7
1) Rewrite the equation by completing the square.
Your equation should look like (2 + c)2 = dor (x – c)2 = d.
---
-
2) What are the solutions to the equation?

Answers

Answer:

Step-by-step explanation:

Question 1:

x² = -8x - 7

x² + 8x = -7

(x + 4)² = 9

So the answer is (x + 4)² = 9

Question 2:

(x + 4)² = 9

So x = -4 ± 3

the figure below is composed of two quarter circles and one right triangle

Answers

This answer will be B the measurement that is closest

Your company offers two types of insurance plans:

* Option A costs $20 per doctor visit.

* Option B requires you to pay a $250 deductible to activate your coverage and $10 per visit.

Enter an equation that can be used to find the number of visits (v) needed for the two plans to cost you the same amount.

Answers

Answer:

10 x 2 = 20 dollars. 250/12= 20.8333333

Step-by-step explanation:

(1.1x10^-3) - (9.6x10^-4)

Answers

Answer:

0.00014

Step-by-step explanation:

just use calculator...

(1.1x10^-3) - (9.6x10^-4) = 0.00014

complete the steps to solve the equation

Answers

Answer:

attached below

Step-by-step explanation:

minus 2 from each side in order to isolate T with the coefficient. To get rid of the coefficient multiply to get 1 which is 5 in this case. Then the answer will be 75

there are 6 batteries in a small paket ofbatteries. there are 9 batteries in a large paket ofbatteries. chow buys m small pakets of batteries and g large pakets of batteries. write down a formula in terms of m and g for t

Answers

Answer:

t =  6m + 9g.

Step-by-step explanation:

Total number of batteries is t.

t =  6m + 9g.

For -3y+2x=-18 determine the value of y when x = 0, and the value of x when y = 0.

Answers

Hello!

We have two different scenarios that we have to solve in the question. We will be solving for both the x and y variable.

We were given the equation: -3y + 2x = -18

To solve for our variables, we will use the values given in our question.

Solve:

Lets solve for the value "y", where our x = 0

Plug in 0 to x and solve:

-3y + 2(0) = -18

-3y = -18

y = 6

Lets now solve for the value "x", where our y = 0

Plug in 0 to y and solve:

-3(0) + 2x = -18

2x = -18

x = -9

Therefore, our answers would be: y = 6, x = -9

Answer:

y = 6

x = -9


What is the remainder in the synthetic division problem below?
4 6 - 1
A. 3
B. 7
C. 5
D. 9

Answers

Answer:

so,6-1 3+7x5 9

Multiple: 7 * 5 = 35

Divide: the result of step No. 1 / 9 = 35 / 9 = 3.88888889

Add: 3 + the result of step No. 2 = 3 + 3.88888889 = 6.88888889

Kindly Answer This And Don't Waste My PTS! ☁️

PROBLEM NUMBER 1: Solve 5x+2=22
PROBLEM NUMBER 2: Solve 2x+5=12
PROBLEM NUMBER 3: Solve 2x-5=7​

Answers

====================================

[tex] \large \sf \underline{Problems:}[/tex]

PROBLEM NUMBER 1: Solve 5x+2=22PROBLEM NUMBER 2: Solve 2x+5=12PROBLEM NUMBER 3: Solve 2x-5=7

====================================

[tex] \large \sf \underline{Answers:}[/tex]

[tex] \large \qquad \qquad \bold{ \#1. \: x \: = \: 4}[/tex]

[tex] \large \qquad \qquad \bold{ \#2. \: x \: = \: \frac{7}{2} }[/tex]

[tex] \large \qquad \qquad \bold{ \#3. \: x \: = \: 6}[/tex]

====================================

[tex] \large \sf \underline{Solutions:}[/tex]

Problem Number 1:-

[tex] \large\rm{5x \: + \: 2 \: = \: 22}[/tex]

[tex] \large\rm{5x \: = \: 22 \: - \: 2}[/tex]

[tex] \large\rm{5x \: = \: 20}[/tex]

[tex] \large\rm{x \: = \: \frac{20}{5} }[/tex]

[tex] \large\rm\green{x \: = \: 4}[/tex]

[tex] \therefore[/tex] The answer of you're problem is x = 4.

====================================

Problem Number 2:-

[tex] \large\rm{2x \: + \: 5 \: = \: 12}[/tex]

[tex] \large\rm{2x \: = \: 12 \: - \: 5}[/tex]

[tex] \large\rm{2x \: = \: 7}[/tex]

[tex] \large\rm\green{x \: = \: \frac{7}{2} } [/tex]

[tex] \therefore[/tex] The answer of you're problem is 7/2.

====================================

Problem Number 3:-

[tex] \large\rm{2x \: - \: 5 \: = \: 7}[/tex]

[tex] \large\rm{2x \: = \: 7 \: + \: 5}[/tex]

[tex] \large\rm{2x \: = \: 12}[/tex]

[tex] \large\rm{x \: = \: \frac{12}{2} } [/tex]

[tex] \large\rm\green{x \: = \: 6}[/tex]

[tex] \therefore[/tex] The answer of you're problem is x = 6.

====================================

Hope this helps!

What is an in-text citation?
A. Providing constructive criticism
B. Using another person's ideas or writing without citing them.
C. Using reliable sources in your paper
D. Providing the author's name and where you found the information.

Answers

c or d it honestly depends on what kind of citation ur doing. d is the more logical tho

Did I do it right? If the measure of ∠DAB=51∘, ∠CAB=x, and ∠DAC=x+1, find the measure of ∠CAB

Answers

If the measure of angles ∠DAB = 51° and the value of x is 25. Then the measure of angle ∠CAB will be 25°.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

If the measure of angles ∠DAB = 51°, ∠CAB = x, and ∠DAC = x + 1.

Then the measure of angle ∠CAB will be

We know

∠CAB + ∠CAD = ∠DAB

x + x + 1 = 51

        2x = 50

          x = 25

Then the measure of the angle ∠CAB will be

∠CAB = x

∠CAB = 25

∠CAB = 25°

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ1

Please help me math

Answers

Answer:

Diagonal is = 16.97

Step-by-step explanation:

To find the length of a diagonal across a square use this formula

d = √(2×area)

Plug in

d = √(2×144)d = √288

D = 16 . 97

Please solve this for me

Answers

[tex]6 sin² x + 4 cos²x = Stanx[/tex]

[tex]Correct option is B)

Given, 4cos2x+6sin2x=5

[/tex]

[tex]⇒4cos2x+4sin2x+2sin2x=5

⇒2sin2x=1⇒sin2x=21=(21)2

⇒x=nπ±4π

[/tex]

Solve any question of Trigonometric Functions with:-

[tex]~~~~~~6 \sin^2 x + 4 \cos^2 x = 5 \tan x \\\\\implies 3 \cdot 2\sin^2 x + 2 \cdot 2 \cos^2 x = 5 \tan x\\ \\\implies 3(1- \cos 2x ) + 2( 1 + \cos 2x) = 5 \tan x\\\\\implies 3 - 3 \cos 2x +2 +2 \cos 2x = 5 \tan x\\\\\implies 5- \cos 2x = 5 \tan x\\ \\\implies 5 - \left(\dfrac{1- \tan^2 x}{ 1+ \tan^2 x} \right)=5 \tan x\\\\\implies \dfrac{5+5 \tan^2x -1 + \tan^2 x}{1+ \tan^2 x} = 5 \tan x\\\\\implies 4 + 6\tan^2 x = 5( \tan x)(1+ \tan^2 x)\\\\\implies 4 +6\tan^2 x = 5 \tan x + 5 \tan^3 x[/tex]

[tex]\implies 5\tan^3 x -6 \tan^2 x+5 \tan x-4=0\\\\\implies 5 \tan^3 x - 5 \tan^2 x - \tan^2x + \tan x+ 4\tan x -4=0 \\\\\implies 5\tan^2 x(\tan x-1) -\tan x(\tan x-1) +4(\tan x-1)=0\\\\\implies ( \tan x - 1)( 5 \tan^2 x- \tan x +4) =0\\\\\implies \tan x =1\\\\\implies x = n \pi+ \dfrac{\pi}4[/tex]

Sian is going to roll the dice 50 times work out an estimate for the number of times the dice will land on either 5 or 6

Answers

Answer:

5

Step-by-step explanation:

5,10,15,20,25,30,35,40,45,50

6,12,18,24,30,36,42,48,54

the first three terms of a G.P is are x+1, x-3 and x-1 find the value of x​

Answers

[tex]\text{First term,}~ a = x+1\\\\\text{Common ratio,}~ r = \dfrac{x-3}{x+1}= \dfrac{x-1}{x-3}\\\\\text{Now,}\\\\~~~~~~\dfrac{x-3}{x+1} = \dfrac{x-1}{x-3}\\\\\\\implies (x-3)(x-3) = (x-1)(x+1)\\\\\\\implies (x-3)^2 = x^2 -1\\\\\\\implies x^2 -2\cdot 3x +3^2 =x^2 -1\\\\\\\implies -6x+9=-1\\\\\\\implies -6x = -1 -9\\\\\\\implies -6x = -10\\\\\\\implies x =\dfrac{-10}{-6}\\ \\\\\implies x = \dfrac 53[/tex]

EXPLAIN IN YOUR OWN WORDS PLEASE!!!! ILL GIVE BRAINLIEST!!!
A scale drawing of a kitchen is shown below. The scale is 1 : 20. A rectangle is shown. The length of the rectangle is labeled 4 inches. The width of the rectangle is labeled 5 inches. Show your work to determine the area of the room in square feet.​

Answers

Answer: 55 [tex]\frac{5}{9}[/tex] feet² or 55.556 feet²

Step-by-step explanation:

      The scale means that for ever one in the scale drawing, it is 20 in the actual room. We will convert the dimensions using proportions.

  [tex]\frac{5}{x}=\frac{1}{20}[/tex]

  100 = x

-> The length is 100 inches

  [tex]\frac{4}{x}=\frac{1}{20}[/tex]

  80 = x

-> The width is 80 inches

    The area of a rectangle can be found by multiplying the length by the width:

A = L * W

A = 100 * 80

A = 8,000 inches²

  To get this into square feet, we will divide by 144. Why? There are 12 inches in a foot. 12 times 12 is 144.

8,000 inches² / 144 = 55 [tex]\frac{5}{9}[/tex] feet²

            The area of the room, in square feet, is 55 [tex]\frac{5}{9}[/tex] feet².

How many solutions does the following equation have? 4x -6 = 2(2x+3)

Answers

Answer:

None

Step-by-step explanation:

[tex]4x-6 = 2(2x+3)\\4x-6 = 4x+6\\0x -12 = 0\\no solutions[/tex]

Answer: There are no solutions for the equation.

Step-by-step explanation:

4x - 6 = 2(2x + 3)

4x - 6 = 4x + 6                                                        

-6 = 6                                                                        

100 POINTS i need help fast!

Answers

Answer:

Step-by-step explanation:

you multiple each hight and base

Answer: 90 square inches.
Step-by-step explanation:
For this problem, it's better to look at the shapes individually, or to draw imaginary lines on the figure given to better illustrate it. Starting at the bottom, I imagine the figure at the bottom as an individual rectangle, where i can just multiply 3 and 2 to get 6. Next, you have the big rectangle. The length is 5 (not the 9; the 9 includes the square at the bottom and the long rectangle) , and in order to find the width, you have to add 4 and 3 to get 7. Then, multiply 7 and 5 to get 35. Next, you'll need to find the long rectangle. The height is 2, and the width is 14 (the rectangle that we just did plus the additional length labeled). 2 times 14 is 28. Finally, the triangle. Since you know the whole length of the shape is 14, you can subtract the side lengths next to the triangle (the 2 and the 6) from 14, to get 6 as the base. Multiply 7 and 6 to get 42, and divide 42 by 2 (21) since that's the area formula for a triangle.

Select the correct answer.
Consider functions fand g.
f(x) = 11x3 - 3x²
g(x) = 7x4 + 9x3
Which expression is equal to f(x) · g(x)?
OA. 74 +99x3 - 3x²
OB.
77x12 +999 - 21x8 - 2716
C.
18x7 + 10x6 + 6x5
OD.
777 + 7816 - 2715

Answers

The value of the composite function f(x) . g(x) is 77x^7  + 78x^6 - 27x^5

How to evaluate the composite function?

The functions are given as:

f(x) = 11x^3 - 3x^2

g(x) = 7x^4 + 9x^3

The value of f(x) . g(x) is calculated as:

f(x) . g(x) = (11x^3 - 3x^2) *  (7x^4 + 9x^3)

Expand

f(x) . g(x) = 77x^7  + 99x^6 - 21x^6 - 27x^5

Evaluate the like terms

f(x) . g(x) = 77x^7  + 78x^6 - 27x^5

Hence, the value of the composite function f(x) . g(x) is 77x^7  + 78x^6 - 27x^518x^5

Read more about composite function at:

https://brainly.com/question/17749205

#SPJ1

A rectangular prism has a
length of 2 1/2yd, a width of 1 1/2yd, and a height
of 1 1/2yd. You use cubes with fractional edge
lengths of 1/2 yd to find the volume. How many
cubes are there for each of the length, width,
and height of the prism? What is the volume of
the prism?

Answers

Step-by-step explanation:

we need 2 1/2 × 2 = 5 cubes along the length.

1 1/2 × 2 = 3 cubes along the the width.

and 1 1/2 × 2 = 3 cubes along the height.

altogether we need

5×3×3 = 45 cubes

and the volume is

2 1/2 × 1 1/2 × 1 1/2 = 5/2 × 3/2 × 3/2 = 45/8 = 5 5/8 yd³

There are 96 cubes are there for each of the length, width, and height of the prism.

The volume of a rectangular prism is 12 yd³.

What is the prism?

A prism is a three-dimensional solid object in which the two ends are identical. It is the combination of flat faces, identical bases, and equal cross-sections.

A rectangular prism has a length of 2 1/2yd, a width of 1 1/2yd, and a height

of 1 1/2yd.

length 2 1/2 and half yd​ = 2 1/2+ (1/2) yd = 5/2 + 1/2 = 6/2= 3 yd

Width 1 1/2 and half yd​ = 1 1/2 + (1/2) yd = 3/2 + 1/2 =  (4/2) = 2 yd

Height 1 1/2 and half yd = 1 1/2 + (1/2) yd = 3/2 + 1/2 =  (4/2) = 2 yd

Cubes of edge length (1/3) yd are used to fill the rectangular prism.

The length would contain (3) ÷ (1/2) = 6

The width would contain (2) ÷ (1/2) = 4

The height would contain (2) ÷ (1/2) = 4

How many cubes are there for each of the length, width, and height of the prism?

6 × 4 × 4 = 96 cubes

There are 96 cubes are there for each of the length, width, and height of the prism.

What is the volume of the prism?

The volume of rectangular prism = 3 × 2 × 2 = 12

The volume of a rectangular prism is 12 yd³.

Learn more about prism here;

https://brainly.com/question/15084003

#SPJ2

Ashley has finished 7/25 of her homework what percentage of the homework does Ashley still need to finish

Answers

Answer:

72 percent

Step-by-step explanation:

7/25, x 4 to get a fraction of 100

28/100

100 - 28 = 72

72 percent

Answer:

Ashley still needs to finish 72 percent of her homework

Step-by-step explanation:

Happy to help!! :D

An industry currently has 100 firms, each of which has fixed cost of $16 and average variable cost as follows: Quantity Average Variable Cost 1 $1 22 33 44 55 66 Compute a firm’s marginal cost and average total cost for each quantity from 1 to 6. The equilibrium price is currently $10. How much does each firm produce? What is the total quantity supplied in the market? In the long run, firms can enter and exit the market, and all entrants have the same costs as above. As this market makes the transition to its long-run equilibrium, will the price rise or fall? Will the quantity demanded rise or fall? Will the quantity supplied by each firm rise or fall? Explain your answers. Graph the long-run supply curve for this market, with specific numbers on the axes as relevant.

Answers

What is Marginal Cost?

The marginal cost is the change in the total cost that arises when the quantity produced is incremented, the cost of producing additional quantity.

a). First construct total variable cost for each level Q -- simply multiply Q by AVC. So

Q TVC

1 1

2 4

3 9

4 16

5 25

6 36

Now calculate marginal cost as the change in TVC for each level Q.

Q MC

1 1

2 3

3 5

4 7

5 9

6 11

b) with price = 10, firm will produce 5 but not 6 units.

c) calculate total profits at Q=5. Total revenue is $50, total costs is $25+$16 = $41. Since there are profits to be made, more firms will enter, shifting the supply curve out, Price will fall, quantity goes up. Each firm will supply the same or less as price falls.

Learn more about Marginal Cost from:

https://brainly.com/question/7781429

#SPJ1

Find the sum.
35/100 + 5/10

Answers

Answer:

0.85

Step-by-step explanation:

35 divided by 100= 0.35 + 5 divided by 10 = 0.5

0.35 + 0.5 = 0.85

Answer:

17/20

Step-by-step explanation:

35/100+5/10

=35/100+50/100

=85/100

=17/20

Find. The unit vector. Multiple choice

Answers

Answer:

D

Step-by-step explanation:

6i = 3/5i

8j = 4/5j

3/5i + 4/5j

can someone please help me with this math problem please fast

Answers

Sarah has plotted the location wrong because for errand two the dot is at 3 3/5 instead of 3 1/5.

Free easy points will give Brainliest

6^2+4^2=C^2

Answers

Answer: c = about 7.21

Step-by-step explanation:

ok - pythagorean theorum

6^2+4^2=C^2

36 + 16 = c^2

52 = c^2

root both sides

c = about 7.21

The solution to the equation 6^2 + 4^2 = C^2 is approximately 7.21

How to solve the equation?

The equation is given as:

6^2 + 4^2 = C^2

Evaluate the exponents of 6 and 4

36 + 16 = C^2

Evaluate the sum

52 = C^2

Take the square root of both sides

7.21 = C

Rewrite as:

C = 7.21 (approximated)

Hence, the solution to the equation is approximately 7.21

Read more about equations at:

https://brainly.com/question/2972832

#SPJ2

Please help me GENIUS Rank

Directions: Complete the following frequency distribution table, then compute the mean, median, and mode of the distribution. Show your complete solutions. (25 points)

Class interval] frequency (f)] fxm
99-101 ] 17 ].
102-104 ] 25 ]
105-107 ] 13 ]
108-110 ]. 16 ]
111-113 ]. 29 ]
total ]N= ]. Efxm=

less than cumutalti frequency (<cf)
[. ]
[. ]
[. ]
[. ]
[. ]
[. ]​​

Answers

Hey there!

I've done for the median

wait I'm I'm doing for mean and mode too
Other Questions
Find the y-intercept of the line 11x - 8y = -1. write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair. submit Which of the following are consequences of a large national debt? (choose all that apply)high interest paymentsmore economic growthmore economic opportunitiesless investment The volume of a sphere is V=4/3 pie r 3where r is the radius of thesphere. Determine the volume of the sphere where the radius ismeasured at 6 inches.a 288pie 3b 216 pie 3C 144 pie 3d 48 pie 3 Courts are very reluctant to grant _____ and will do so only when monetary damages simply are not adequate, typically because the subject matter of the contract is unique. An example of a mixed economy that is distributed equally between the government and the private sector is __________. a. north korea b. canada c. brazil d. cuba please select the best answer from the choices provided a b c d please help me asap :( Reuben has bought 30 pounds of dog food. He feeds his dog 3/5 pounds for each meal. For how many meals will the food last? How were African Americans involved in national government during Reconstruction?Select all correct answers.They were confirmed as Supreme Court justices.A formerly enslaved person was nominated for president in 1872.They represented southern states in the U.S. Congress.A formerly enslaved person was elected to the U.S. Senate. Reggie has $240 in a savings account at the beginning of the summer. He wants to have at least $450 in the account by the end of the summer. He deposits $35 each week. What is the shortest amount of time Reggie needs to deposit money into his account? PLSSS HELP IF YOU TURLY KNOW THISS In a class of 35 students, 20 offer Physics, 18 offer Chemistry and 2 offer neither Physics nor Chemistry. i) Illustrate the information on a Venn diagram. ii) How many students offer all the two subjects? ii) How many students offer Physics? iv) How many students offer only one subject? What procedure did you use to complete the lab The Lab Name Is Energy Transfer. if the forces on an object are greater than zero, the motion of an object will what?what will the motion of the object do?? The for loop is a count-controlled loop and is used to execute a loop body a predictable number of times.A. TrueB. False please refer to the photo Use the quadratic formula to solve for X.Round your answer to the nearest hundredth.If there is more than one solution, separate them with commas. What is the equation for the function shown in FACTORED FORM? I need help please!!!!!! Choose all the answers that apply.Erosion:removes fertile topsoilis caused mainly by wind and watercan damage aquatic ecosystemscan decrease revenue from agricultureis the breakdown of rock and other material 100 POINTS!8. The module provides various examples of how ecosystems and be destroyed by humans and natural disasters. Describe one way an ecosystem can be destroyed by humans and one way to be destroyed naturally The length of a rectangular floor is two ft more than its width. If the area of the floor is 63 ft, find the length and the width of the floor.