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
marta [7]
3 years ago
5

Which of the following is the cube root of -64/243

Mathematics
1 answer:
lilavasa [31]3 years ago
4 0

Answer:

-(4/7)

or

if you are above 11th standard

4/7i

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
For which values of P and Q does the following equation have infinitely many solutions ?
solmaris [256]

Answer:

(P, Q) = (-75, 57)

Step-by-step explanation:

The equation will have infinitely many solutions when it is a tautology.

Subtract the right side from the equation:

Px +57 -(-75x +Q) = 0

x(P+75) +(57 -Q) = 0

This will be a tautology (0=0) when ...

P+75 = 0

P = -75

and

57-Q = 0

57 = Q

_____

These values in the original equation make it ...

-75x +57 = -75x +57 . . . . . a tautology, always true

4 0
3 years ago
Question 5 :)) What is the measure of the missing angle?​
Stella [2.4K]
The answer is 115 because the interior angle is 65 and 115 plus 65 is 180. You want 180 because the angles are opposite and make a straight line
6 0
3 years ago
Express the polar coordinates (2,3pi/4) as Cartesian coordinates
Rus_ich [418]

The Cartesian equivalent of the polar coordinates (r, theta) is

(r cos t, r sin t), where t = theta.

So, (2, 3pi/4) becomes

(2 cos(3pi/4), 2 sin(3pi/4))

(2 • -sqrt{2}/2, 2 • sqrt{2}/2)

Answer: (-sqrt{2}, sqrt{2})

Done.

Note: sqrt = square root for short.

8 0
3 years ago
The graphs of f(x) = (two-thirds) Superscript x and g(x) = (two-thirds) Superscript x minus 2 are shown below. On a coordinate p
inn [45]

Answer:

The answer is A. a translation right 2 units

I just took the assignment. see attached Picture

5 0
3 years ago
Read 2 more answers
Other questions:
  • Gordon types 2,590 words in 35 minutes. Find the unit rate.
    9·1 answer
  • Sarah solves the equation as shown. 2(x + 3) = 8 1. 2x + 6 = 8 2. 2x = 2 3. x = 1 In which step did Sarah use the distributive p
    14·2 answers
  • Khan academy again smh. <br>Please answer! Thanks! ​
    6·1 answer
  • To make 3/4 pound of mixed nuts, how many pounds of cashews would you add to 1/8 pound of almonds and 1/4 pound of peanuts?
    10·1 answer
  • 1/4 divided By 2 Show Your Work On How You Got The Answer
    12·1 answer
  • 7th grade math help me pleasee
    10·2 answers
  • (6+3)÷(4-5)Evaluate the following numerical expressions.
    7·1 answer
  • What is T = 3U/E solve for U
    6·1 answer
  • Hii please help i’ll give brainliest if you give a correct answer
    12·2 answers
  • If you drew a vertical line every time the SIN graph touched the x-axis, what function would that create an asymptote for?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!