An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and the cards are shuffled for another chance. If the prize is not won, the card is again replaced and mixed in with the other cards. If a prize is won, the highest card is replaced and the five cards are shuffled for a new game. If an individual makes seven draws, what is the probability the individual will win a prize exactly two times

Answers

Answer 1

Answer:

[tex]\frac{1}{25} =0.04[/tex] (Unusual)

Step-by-step explanation:

1/5 for one drawing

1/5 chance to win once, if there is only one game.

Then multiply them together to get 1/25.

If you need in decimal form 1/25 = 0.04 (unusual)

Answer 2

If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753

What is Permutation and Combination ?

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.

An individual can win a prize by drawing the highest numbered card out of five cards.

Given that an individual makes 7 draws

p = 1/5  =  0.2

q = 1-P =0 .5

5 times corresponds to B( 7 , 0.2)

P(x = 2) = 7 C₂ (0.7)² (0.8)⁵

= 21 * 0.04 * 0.3277

= 0.2753

Therefore If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753

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Related Questions


Helppp pleaseeeeeeweeeeeeee

Answers

Answer:

55°

Step-by-step explanation:

The angle is part of a 90° angle, so you do 90°-35° to get 55°.

Give branliest please. :)

Answer:

90 degrees - 35 degrees = x degrees, this will give you 55 degrees

Asa has 4 pairs of shoes, 5 pairs of pants, and 4 shirts which can be worn in any combination. he need to choose an outfit to wear to his friends birthday party. how many different combinations consisting of one item in each category are possible?

A.9
B.13
C.20
D.40
E.80

Answers

Answer:

E

Step-by-step explanation:

HELP ME ITS DUE TODAY AND I NEED HELP PLS IM BEGGING

Answers

2) the answer is -1 for this one because it goes from 5/3/1/d

26,720 inches are equal to _______ miles.

Answers

Answer:  0.42171717 miles

Step-by-step explanation:

 for  inches to mile conversion  divide  by 63350

so got 0.421717

HELP THIS IS DUE AT 1:30
Focus Question. (Respond to the following prompt in three to five sentences please.)

Describe the accomplishments in the arts, philosophy, and literature during the Ming dynasty learn from the Ming Dynasty?

Answers

Answer:

The Ming Dynasty contributed significantly to the fields of culture, science, and technology. Moreover, textiles and mining industries also flourished during this time. Towards the end of the Ming Dynasty, a capitalist production system was gradually developing. The Ming Dynasty achievements resulted in many entrepreneurs readily seizing economic development opportunities building the great wall. One of the most significant Ming Dynasty achievements in engineering is the completion and repair of the Great Wall. Ming, The restoration of the Grand Canal was also an important achievement of this era. A wide range of machinery and equipment from which silk and cotton looms were made were invented during this era.  Dynasty achievements also included significant contributions in the fields of philosophy, art, and literature. The Forbidden City, Beijing, was an essential architectural achievement that was also constructed during this era.

The famous white and blue porcelain of China originated in the era of the Ming Dynasty.

Step-by-step explanation:

The Ming Dynasty (1368-1644) was a period of great artistic and cultural achievements in China.

What is Ming dynasty?

In China, the Ming dynasty was a time of great cultural and artistic flourishing, with significant contributions to literature, philosophy, and the arts.

Here are some of the Ming dynasty's achievements in the arts, philosophy, and literature:

Ming dynasty art was distinguished by a return to traditional Chinese painting techniques as well as a focus on naturalistic and realistic depictions of the world.Confucianism was the dominant philosophy during the Ming dynasty, and it played an important role in shaping society and culture.Literature: During the Ming dynasty, vernacular Chinese literature developed, which was more accessible to common people than classical Chinese language.The Ming dynasty is known for its magnificent architecture, which includes the Great Wall of China, the Forbidden City, and the Temple of Heaven.

Thus, these are the accomplishments in the arts, philosophy, and literature during the Ming dynasty learn from the Ming Dynasty.

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which value of y makes the inequality 3y^2 + 2(y - 5) >8 true?

A. y = 0
B. y = -1
C. y = -2
D. y = -3

Answers

Answer:

-3

Step-by-step explanation:

What is the measure of m?
12
4.
n
m
m = [?]
Please help!

Answers

I think the answer to m is 8

What is the r-value of the following data, to three decimal places?
х
у
4
26
5
11
8
13
9
2
13
1

Answers

Answer:

The answer is -0.828

Step-by-step explanation:

I took the quiz and i gt this question correct, hope it helps!

The r-value of the given data is 0.374.

What is a correlation coefficient?

The correlation coefficient, denoted as r, is a statistical measure that describes the strength and direction of the linear relationship between two variables.

It ranges between -1 and +1, where -1 indicates a perfect negative correlation (inverse relationship), +1 indicates a perfect positive correlation (direct relationship), and 0 indicates no correlation between the variables.

We have,

First, we need to find the correlation coefficient (r) of the given data.

We can use the following formula to do this:

r = [n∑(xy) - (∑x)(∑y)] / [√{n∑x² - (∑x)²} √{n∑y² - (∑y)²}]

where n is the number of data points, x, and y are the respective variables, and ∑ denotes the sum of the values.

Using the given data, we can calculate the values as follows:

n = 5

∑x = 39

∑y = 53

∑(xy) = 442

∑x^2 = 483

∑y^2 = 1249

Substituting these values into the formula, we get:

r = [5(442) - (39)(53)] / [√{5(483) - (39)^2} √{5(1249) - (53)²}]

r = [2210 - 2067] / [√(2415) √(5660)]

r = 143 / (61.898 75.245)

r = 0.374 (rounded to three decimal places)

Therefore,

The r-value of the given data is 0.374.

Learn more about correlation coefficient here:

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If anyone can help i would appreciate it. Ill give brainiest to anyone who answers with out a link

Answers

Answer:

im pretty sure what u have ther is right

You should download photomath

The building below is shown to scale; for every 1 inch of drawing, it is 5 feet in actual distance. The exterior surface area of the building is 250,000 square feet. What is the exterior surface area of the model?

Answers

Answer:

50,000 square inches

Step-by-step explanation:

1:5 ratio so 250,000/5=50,000

I GIVE BRAINLIEST! LOOK AT THE IMAGE BELOW.

Answers

Answer: 8

Area of a triangle=(1/2)bh
16=(1/2)4x
16=2x
x=8

WILL GIVE BRAINLIEST!!
If N is the plane of symmetry, click on the graphic to find the figure that is symmetrical with respect to plane N.

Answers

Answer:

thrid one looks right

Step-by-step explanation:

Answer:

The 4th cone

Step-by-step explanation:

Hello, the answer to your question is the 4th cone; the cone with its bottom half facing skyward.  If you are familiar with plane symmetry, this question is fairly simple.  Since the topmost cone has its bottom half facing downward, it would only be logical to choose the cone that forms mirror halves (superimpose) when paired.  

Hope this helps.

Just in case my explanation was too confusing, I'll attach the image of the answer here.  

Feel free to give me brainliest.

Tell whether the angles are adjacent or vertical. Then find the value of x.

Answers

Answer:

Vertical/ x = 25.

Step-by-step explanation:

Vertical angles are self-explanatory; vertical angles are angles that are vertical from each other.

Vertical angles are also congruent (equal), meaning that both angles equal 75°.

4x - 25 = 75.

To solve this expression, we must first add 25 to 75. This is because there is a subtraction sign in front of 25, so we must do the opposite.

25 + 75 = 100

Lastly, divide 100 from 4.

4x = 100

100 / 4 = 25

x = 25

Evaluate f(x) = 3x + 8 for x = 1.

-11
5
11
3

Answers

Answer:

11

Step-by-step explanation:

f(x)=3x+8

f(1)=3(1)+8

f(1)=3+8

f(1)=11

Answer:

The anwser is 11

Step-by-step explanation:

You just replace x with 1, and solve, so it would be 3(1) + 8, which is 11.

If a cylinder has a height of 5 and a volume of 98, what is the radius to the nearest tenth?

Answers

Answer:

r ≈ 2.5

Step-by-step explanation:

98 = 5(πr^2)

divide 5 by both sides

19.6 = πr^2

divide π by both sides

6.2388 = r^2

square root both sides

r = 2.49777

r ≈ 2.5


A cone has a diameter of 20cm and a height of 12cm, what is the volume of the cone?

Answers

Answer:

The cone volume that has a diameter of 20cm and a height of 12cm is 5,026.548246 cm^3 or 5,027 cm^3

Make sure to round your answer to the nearest significant figure that you're asked.

Step-by-step explanation:

The formula for the volume of a cone is (height x π x (diameter / 2)^2)/3, where (diameter / 2) is the radius of the base (d - 2 x r), so another way to write it is (height x π x radius^2) / 3

jannie recieves 150 pocket money per month in the new year his mother decided to increase his pocket money in the ratio 6 is to 5 calculate jannies adjusted monthly pocket money ​

Answers

Answer:

Answer and steps are in picture.

In a set of three lines, a pair of parallel lines is intersected by a transversal. The intersection forms eight special angles. Two of the special angles, A and B, are corresponding angles.

For the set of parallel lines intersected by a transversal, A=4x and B=-5(x-18).

Part A: Write an equation to represent the corresponding relationship betweenA andB.
Part B: Use the equation to find the measures of A and B.

Answers

Answer:

Part A: 4x = -5(x-18)

Part B: A and B both = 40 degrees

Step-by-step explanation:

Ok, corresponding angles are in the same position on the two parallel lines cut by the transversal. And they are equal in measure. So, upper right = upper right.

So A = B

4x = -5(x -18)

4x = -5x + 90

9x = 90

x = 10

Angle A = 4x = 40 degrees, which means angle B is also 40, but let's show the work:

Angle B = -5(x - 18) = -50 + 90 = 40

please help!!!!!!!!!!!!!!!!!!

Answers

Answer: C. 1,485 cubic feet

Step-by-step explanation:

Ur welcome :)

Answer:

I am assuming the storage shed is shaped like a rectanglular prism.

v=lwh

v=9*15*11

v=1485 cubic feet

Answer is C.

help me please:(**********​

Answers

Answer:

11.7

Step-by-step explanation:

First HK can be found via Pythagorean Theorem

6^2 + 10^2 = 36 + 100 = 136

The square root of 136 is (rounded to the nearest tenth): 11.7

GJ is congruent to HK

GJ = 11.7

Please help me I need help with this as quick as possible my dad is right next to me...

Answers

Answer:

there isnt a question... what do you need help with?

Answer:

.-. >_>

Step-by-step explanation:

what is 5 cm in mm. NEED HELP ASAP !!!!!!!

Answers

50 millimeters is your answer

10. What value of x and y will make the polygon a
parallelogram?

Answers

Answer:

Step-by-step explanation:

20 = 5y

4=y

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

x+3y = 2x +2y -2

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

x +12 = 2x +8 -2

12-8+2 = 2x -x

6 =x

The values of x and y that makes the polygon a parallelogram is 6 and 4 respectively.

What is a parallelogram?

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal, and opposite angles equal.

Given is a polygon,

We know opposite sides of a parallelogram are equal,

Therefore,

5y = 20

y = 20/5

y = 4

And,

Putting y = 4, in x+3y = 2(x+y-1)

x+12 = 2(x+3)

x+12 = 2x+6

x = 12-6

x = 6

Hence, The values of x and y that makes the polygon a parallelogram is 6 and 4 respectively.

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g During winter, red foxes hunt small rodents by jumping into thick snow cover, without any visual clue. Researchers examined the compass direction of hundreds of such jumps. They found that 73% of jumps in the northeast direction were successful, compared with 60% of jumps in the southwest direction and only 18% of jumps in all other directions. True or False: Jumping direction and jump outcome are independent.

Answers

Answer: False

Step-by-step explanation:

Events can be classed as being dependent or independent depending on whether the outcome of a certain event affects the outcome of another. In the scenario above, the success rate of jumps in the Northeast direction is higher than in the southwest direction and even much than in other directions. With these uneven rate of success, the probability that a fox will have a successful jump will depend on the direction in which the fox is jumping. With an high expected success probability in the Northeast and southwest than in other directions

.11 A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01, and 1.03 centimeters. Find a 99% confidence interval for the mean diameter of pieces from this machine, assuming an approximately normal distribution.

Answers

Answer:

The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.

Step-by-step explanation:

Sample mean:

Sum of all values divided by the number of values. So

[tex]M = \frac{1.01+0.97+1.03+1.04+0.99+0.98+0.99+1.01+1.03}{9} = 1[/tex]

Sample standard deviation:

Square root of the sum of the differences between each value and the mean, divided by the 1 less than the sample size. So

[tex]s = \sqrt{\frac{(1.01-1)^2+(0.97-1)^2+(1.03-1)^2+(1.04-1)^2+(0.99-1)^2+(0.98-1)^2+(0.99-1)^2+(1.01-1)^2+(1.03-1)^2}{8}} = 0.0657[/tex]

Confidence interval:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 9 - 1 = 8

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.355

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 3.355\frac{0.0657}{\sqrt{9}} = 0.07[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1 - 0.07 = 0.93

The upper end of the interval is the sample mean added to M. So it is 1 + 0.07 = 1.07

The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.

I need help with this problem ​

Answers

1: yes

2:C

3:D

Step-by-step explanation:

a number is missing in no.3

the ans in 3 is -1,0,5,1,5,6

Which graph represents y as a function of x?

Answers

Answer:

D

Step-by-step explanation:

Has only one point on the x- axis.

Terrell built a model of an airplane. The
length of one wing in the model is 4 inches
long. The scale of the model is 1 inch =
17.5 meters. Find the length of the actual
wing of the airplane.

Answers

Answer: 70 m

Step-by-step explanation: 4 inch 4·17.5 m = 70 m

what is the measure of angle KIT?

Answers

Answer:

80°

Step-by-step explanation:

In rhombus, opposite angles are equal. i.e <KET = <KIT

Triangle KET is isoceles, which means both parts of angle E are equal.

Angle E = 40 + 40

Angle E = 80

If angle E is 80 than Angle I is also 80.

Help with the calculus problem please

Answers

The area of the region is equal to the area under the curve y = cos(x) over the interval 0 ≤ x ≤ π/6, given by the integral

[tex]\displaystyle\int_0^{\frac\pi6}\cos(x)\,\mathrm dx = \sin(x)\bigg|_0^{\frac\pi6}=\sin\left(\frac\pi6\right)-\sin(0)=\boxed{\frac12}[/tex]

which follows from

• the fact that d/dx [sin(x)] = cos(x)

• the fundamental theorem of calculus

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