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Distribution table :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

Answer:

1.85 ; 1.014 ;` 0.55 ; 3.042

Step-by-step explanation:

Probability distribution :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

The mean: E(x) = Σ(X * p(x))

(1*0.5) + (2*0.25) + (3*0.15) + (4 *0.10)

= 1.85

Standard deviation = sqrt(Var(x))

Var(x) = Σ(x²*p(x)) - E(x)²

Var(x) = ((1^2*0.5) + (2^2*0.25) + (3^2*0.15) + (4^2 *0.10)) - 1.85^2

= 4.45 - 3.4225

= 1.0275

Standard deviation = sqrt(1.0275)

Standard deviation = 1.0136567

Standard deviation(X) = 1.014

3.)

Cost of spin = $5

Amount, y to be received = 3 times the number that appears

y = 3x - cost of playing

y = 3x - 5

E(y) = E(3x - 5)

E(y) = E(3x) - 5

Recall :E(x) = 1.85

E(y) = 3(1.85) - 5

E(y) = 0.55

Standard deviation :Sd(y) =

Sd(3x - 5)

3(1.014)

= 3.042

Answer:

The angle is approximately [tex]31^{o}[/tex].

Step-by-step explanation:

The description i the given question can be represented with the sides of a right angled triangle.

Applying the appropriate trigonometric function, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

In the question, opposite side = 60 feet, and adjacent side = 100 feet.

Tan θ = [tex]\frac{60}{100}[/tex]

         = 0.6

θ = [tex]Tan^{-1}[/tex] 0.6

  = [tex]30.964^{o}[/tex]

θ = [tex]31^{o}[/tex]

The angle of elevation from the end of the shadow to the top of the pole is [tex]31^{o}[/tex].

Answer:

The below is the answer to the equation. 4.5, 0

Step-by-step explanation:

Answer:

b=60a

Step-by-step explanation:

Answer: Acute angle

Step-by-step explanation:

because it is at a 62 I think angle

Answer:

The hotel charge for each room to maximize its daily revenue and the maximum daily revenue is explained below in details.

Step-by-step explanation:

So for every $1 hike in price, the number of rooms goes underneath by 1.

So the earnings can be displayed by R(x) = (300-x)(80+x)

From that, you require to subtract 22(300-x) since it takes $22 per occupied room.

AND there is a framed cost of $1000 per day.

So your profit function is P(x) = (300-x)(80+x) - 22(300-x) - 1000

Simplified, this is P(x) = -x2 +242x + 16400.

P'(x) = -2x + 242  Set it = to 0

x = 121 which displayed the number of unoccupied rooms.

P(121) = -14641 + 29282 + 16400 = $31041

You can verify by computing P(120) and P(122) which both even $31040.

Hope this helps.

Answer:

7. 4

8. 7

Step-by-step explanation:

7. [tex] \frac{1}{2} = \frac{x}{8} [/tex]

Cross multiply

[tex] 1*8 = x*2 [/tex]

[tex] 8 = 2x [/tex]

[tex] \frac{8}{2} = \frac{2x}{2} [/tex] (division property of equality)

[tex] 4 = x [/tex]

[tex] x = 4 [/tex]

8. [tex] \frac{3}{x - 3} = \frac{6}{8} [/tex]

Cross multiply

[tex] 3*8 = 6(x - 3) [/tex]

[tex] 24 = 6x - 18 [/tex]

[tex] 24 + 18 = 6x [/tex] (addition property of equality)

[tex] 42 = 6x [/tex]

Divide both sides by 6

[tex] 7 = x [/tex]

[tex] x = 7 [/tex]

Answer:

-3

Step-by-step explanation:

because it says difference and differences means subtract so -20-(-17)=-3

Answer:

Top right one is the answer

Step-by-step explanation:

B :)

The elevation of the lift is equivalent to 11293.1 ft.

The angle of elevation is an angle that is formed between the horizontal line and the line of sight.

Given is that a ski lift makes a 35° angle of elevation with the ground and takes passengers on a 6,550 foot ride up a mountain.

Assume the elevation to be [x] ft. We can find the elevation as -

sin (35°) = (6550/x)

x = {6550/sin(35°)}

x = (6550/0.58)

x = 11293.1 ft

Therefore, the elevation of the lift is equivalent to 11293.1 ft.

To solve more questions on Angle of elevation, visit the link below-

https://brainly.com/question/29008290

#SPJ2

Answer:

300,000,000 per minute

Step-by-step explanation:

3*10⁸

10⁸ = 100,000,000

3*100,000,000 = 300,000,000

Answer:

yes because 1 divided by 2 is 0.5 which can be converted to 50%

Answer: 50%

Step-by-step explanation:

The shaded portion is half of 100

Answer: 50%

Step-by-step explanation: Since the tape diagram in total represents 100%, and half of the tape diagram is shaded, this means 50% is shaded.

Answer:

9

Step-by-step explanation:

f(x) = -x^2

f(3) = -3^2

f(3) = 9

Answer:

7 : 3

Step-by-step explanation:

Divide both numbers by 6

Answer:

Step-by-step explanation:

42:18=42/18=7/3=7:3

I hope it help you

this is so easy

Answer:

-3/6

Step-by-step explanation:

integer rules

Answer:

116

Step-by-step explanation:

13x-1 = 2(6x+4)

13x-1 = 12x+8

x=9

Answer:

the slope is= 3/2

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

Answer:

More on supplies than she earned in sales.

Answer:

She spent 25 dollars from her pocket. No profit

Step-by-step explanation:

Answer:

[tex]\frac{ \frac{7}{3}}{\frac{1}{3}}[/tex]  is the slope

Step-by-step explanation:

rise over run

Answer:

the 4th one hope this helps

The answer is the picture. Hope this helped.

Answer: A. 4

Step-by-step explanation: The base number is 4 and the exponent is 5. Hope this helps ^-^.

Answer:

she saved 900 dollars

Step-by-step explanation:

30/100=270/?

30x9=270

100x9=900

Answer:

118 degrees

Step-by-step explanation:

180-62 = 118

Answer:

D

Step-by-step explanation:

Took the test ;)

Answer:

33/Q?

Step-by-step explanation:

im confused on what the problem is