1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BartSMP [9]
3 years ago
5

At which angle will the hexagon rotate so that it maps

Mathematics
1 answer:
Viefleur [7K]3 years ago
3 0

Answer:

60

Step-by-step explanation:

You might be interested in
A blackjack player at a Las Vegas casino learned that the house will provide a free room if play is for four hours at an average
marysya [2.9K]

Answer:

a) player’s expected payoff is $ 240

b) probability the player loses $1000 or more is 0.1788

c)  probability the player wins is 0.3557

d) probability of going broke is 0.0594

Step-by-step explanation:

Given:

Since there are 60 hands per hour and the player plays for four hours then the sample size is:

n = 60 * 4 = 240

The player’s strategy provides a probability of .49 of winning on any one hand so the probability of success is:

p = 0.49

a)

Solution:

Expected payoff is basically the expected mean

Since the bet is $50 so $50 is gained when the player wins a hand and $50 is lost when the player loses a hand. So

Expected loss =  μ

                        = ∑ x P(x)

                        = 50 * P(win) - 50 * P(lose)

                        = 50 * P(win) + (-50) * (1 - P(win))

                         = 50 * 0.49 - 50 * (1 - 0.49)

                        = 24.5 - 50 ( 0.51 )

                        = 24.5 - 25.5

                        = -1

Since n=240 and expected loss is $1 per hand then the expected loss in four hours is:

240 * 1 = $ 240

b)

Using normal approximation of binomial distribution:

n = 240

p = 0.49

q = 1 - p = 1 - 0.49 = 0.51

np = 240 * 0.49 = 117.6

nq = 240 * 0.51 = 122.5

both np and nq are greater than 5 so the binomial distribution can be approximated by normal distribution

Compute z-score:

z = x - np / √(np(1-p))

  = 110.5 - 117.6 / √117.6(1-0.49)

  = −7.1/√117.6(0.51)

  = −7.1/√59.976

  = −7.1/7.744417

  =−0.916789

Here the player loses 1000 or more when he loses at least 130 of 240 hands so the wins is 240-130 = 110

Using normal probability table:

P(X≤110) = P(X<110.5)

             = P(Z<-0.916)

             = 0.1788

c)

Using normal approximation of binomial distribution:

n = 240

p = 0.49

q = 1 - p = 1 - 0.49 = 0.51

np = 240 * 0.49 = 117.6

nq = 240 * 0.51 = 122.5

both np and nq are greater than 5 so the binomial distribution can be approximated by normal distribution

Compute z-score:

z = x - np / √(np(1-p))

  = 120.5 - 117.6 / √117.6(1-0.49)

  = 2.9/√117.6(0.51)

  = 2.9/√59.976

  = 2.9/7.744417

  =0.374463

Here the player wins when he wins at least 120 of 240 hands

Using normal probability table:

P(X>120) = P(X>120.5)

              = P(Z>0.3744)  

             =  1 - P(Z<0.3744)

             = 1 - 0.6443

             = 0.3557

d)

Player goes broke when he loses $1500

Using normal approximation of binomial distribution:

n = 240

p = 0.49

q = 1 - p = 1 - 0.49 = 0.51

np = 240 * 0.49 = 117.6

nq = 240 * 0.51 = 122.5

both np and nq are greater than 5 so the binomial distribution can be approximated by normal distribution

Compute z-score:

z = x - np / √(np(1-p))

  = 105.5 - 117.6 / √117.6(1-0.49)

  = -12.1/√117.6(0.51)

  = -12.1/√59.976

  = -12.1/7.744417

  =−1.562416

Here the player loses 1500 or more when he loses at least 135 of 240 hands so the wins is 240-135 = 105

Using normal probability table:

P(X≤105) = P(X<105.5)

             = P(Z<-1.562)

             = 0.0594

7 0
3 years ago
The decimal form of a fraction is called a what​
Yuri [45]

Answer:

Hello Adam here!

Step-by-step explanation:

The numbers that are represented by decimal numerals are the decimal fractions (sometimes called decimal numbers), that is, the rational numbers that may be expressed as a fraction whose denominator is a power of ten.

Hope This Helps From, Adam :)

7 0
3 years ago
2) A pharmacist has 60 ml of an 8% alcohol solution. How much water should be evaporated so that the solution that remains is 10
Amiraneli [1.4K]

Answer:

let water evaporated be x ml

...

acid 8% ------60 ml

...

final quantity = 10% ----(60-x)

..

60*8 = 10(60-x)

480=600-10x

10x=600-480

10x= 120

/10

x=12 ml should be evaporated.

Step-by-step explanation:

4 0
3 years ago
What is the slope of (-3,1) and (0,7)?
Usimov [2.4K]
Over 3 up 6, or better know as 3/6
3 0
3 years ago
Steve had 484848 chocolates but decided to give 888 chocolates to each of his fff coworkers.
marusya05 [52]

the answer is 48-8f

5 0
2 years ago
Other questions:
  • S=n(a1+an)/2 gives the partial sum of an arithmetic sequence. What is the formula solved for an?
    5·2 answers
  • cyclists were 3/5 finished with their ride when they reached the 15 kilometer mark how long was the ride
    5·2 answers
  • LCD to rewrite 5/9 and 1/6 with the same denominator.
    12·2 answers
  • The largest possible circle is cut out of a square whose side length is 12 feet. What will be the approximate area, in square fe
    11·1 answer
  • 4(1/2+3/4)+(-2)<br><br> I need help
    11·1 answer
  • Which method describes the inventory process in which the last items to be
    10·2 answers
  • A side of the triangle below has been extended to form an exterior angle of 132°. Find
    7·2 answers
  • Alguien puede resolver esto por favor <br>​
    14·1 answer
  • 2/3 x y= 4 what is y? put your answer in the box below.
    8·1 answer
  • Determine the slope and the y-intercept of the line represented by the equation y= -7/3×+3 slope: 7/9 ;y-intercept: 3 slope: 9/7
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!