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Anastaziya [24]
3 years ago
7

The pentagon below has an area of 8.3 square

Mathematics
1 answer:
Maurinko [17]3 years ago
5 0

Answer:

C.) 1.5 cm

Step-by-step explanation:

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Which shows the integers in order.
Igoryamba
The answer A shows the integers from greatest to least
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What key features of a quadratic graph can be identified and how are the graphs affected when constants or coefficients are adde
leonid [27]

The key features of a quadratic graph that can identified are; x and y intercepts, axis of symmetry and vertex

<h3>Keys features of a quadratic graph</h3>

The key features are the x-intercepts, y-intercepts, axis of symmetry, and the vertex.

If we add units we can move this function upwards, downwards leftwards and rightwards.

  • If we add a positive number to the x-variable, then the graph will move to the left.
  • If we add a negative number to the x-variable, then the graph will move to the right.
  • If we add a positive number to y-variable, then the graph will move upwards.
  • If we add a negative number to y-variable, then the graph will move downwards.

Hence, if we compare the rules we use before with linear function, there's no distinction between horizontal and vertical movements, because if we add to x-variable, then y-variable will be also affected.

Learn more about quadratic graphs here:

brainly.com/question/1214333

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7 0
2 years ago
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
A plane flies 15 miles in 20 seconds. How long would it take the plane to cover 30 miles?
ExtremeBDS [4]

Answer:it would take the plane 40 seconds

Step-by-step explanation:

if you multiply by two then you would be able to get 30

like 15 times 2 and since it’s 15 miles to 20 seconds or 15:20 you would have to multiply by the same number.

6 0
3 years ago
What is the volume of a cube that has a side length of 5 centimeters? Recall the formula .  
mixas84 [53]
The answer would be 125
7 0
3 years ago
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