You spin each spinner once. You get $39 if you spin a 2 and a vowel. You get $26 if you spin a 2 and a consonant. You get $9 if you spin a 1 and a vowel. Everything else earns $0. What is the expected value of this game? Round your answer to the second decimal if necessary
Answers
The expected value of the game is the mean value of the game
The expected value of the game is $9
For the first spinner;
The probability to spin 2 is 1/4The probability to spin 1 is 3/4For the second spinner;
The probability to spin a vowel is 1/4The probability to spin a consonant is 3/4So, the probability of spinning a 2 and a vowel is:
[tex]\mathbf{P(2\ and\ vowel) = \frac 14 \times \frac 14 = \frac{1}{16}}[/tex]
The earning for spinning a 2 and a vowel is $39.
So, the expected earning is:
[tex]\mathbf{Expected = 39 \times \frac{1}{16} = 2.4375}[/tex]
So, the probability of spinning a 2 and a consonant is:
[tex]\mathbf{P(2\ and\ consonant) = \frac 14 \times \frac 34 = \frac{3}{16}}[/tex]
The earning for spinning a 2 and a consonant is $26.
So, the expected earning is:
[tex]\mathbf{Expected = 26 \times \frac{3}{16} = 4.875}[/tex]
So, the probability of spinning a 1 and a vowel is:
[tex]\mathbf{P(1\ and\ vowel) = \frac 34 \times \frac 14 = \frac{3}{16}}[/tex]
The earning for spinning a 1 and a vowel is $9.
So, the expected earning is:
[tex]\mathbf{Expected = 9 \times \frac{3}{16} = 1.6875}[/tex]
So, the expected value of the game is:
[tex]\mathbf{Game =2.4375+ 4.875 + 1.6875}[/tex]
[tex]\mathbf{Game =9}[/tex]
Hence, the expected value of the game is $9
Read more about expected values at:
https://brainly.com/question/13499496
Related Questions
30x^8-4x^7+6x^4/-6x^3 perform division
Answers
Answer:
[tex]-\frac{x(15x^4-2x^3+3)}{3}[/tex]
Step-by-step explanation:
[tex]\frac{30x^8-4x^7+6x^4}{-6x^3}[/tex]
The first thing I would do is to factor the numerator. All coefficients there are divisible by 2, and all variables are divisible by x⁴. I'll also move the negative sign to the left.
[tex]-\frac{2x^4(15x^4-2x^3+3)}{6x^3}[/tex]
Next, you can simplify 2/6 to 1/3:
[tex]-\frac{x^4(15x^4-2x^3+3)}{3x^3}[/tex]
Finally, the last thing you can do is simplify x⁴/x³ to x/0:
[tex]-\frac{x(15x^4-2x^3+3)}{3}[/tex]
That's as simplified as it gets.
Anyone that can answer it right gets 30!
Answers
Answer:
First
Step-by-step explanation:
1.
[tex]\frac{48}{8} + 2^{3} = 6 + 8 = 14[/tex]
[tex]5 + 3^2 = 5 + 9 = 14[/tex]
2.
[tex]9^{2} - 7^{2} = 81 - 63 = 18[/tex]
[tex]\frac{20}{7-2} = \frac{20}{5} = 4[/tex]
3.
[tex]\frac{150}{5^2} = \frac{150}{25} = 6[/tex]
[tex]30 - 4^{2} - 12 = 30 - 16 - 12 = 30 - 28 = 2[/tex]
4.
[tex]\frac{8 - 7}{2} - 12 = 0.5 - 12 = -11.5[/tex]
[tex]22 - 2 * 3 = 22 - 6 = 16[/tex]
Answer:
first and fourth
Step-by-step explanation:
Equate and compare both sides of the equations. If both sides are equal then the equation is true.
48 ÷ 8 + 2³ = 6 + 8 = 14
right side = 5 + 3² = 5 + 9 = 14
This is a true equation
---------------------------------------
9² - 7² = 81 - 49 = 32
right side = 20 ÷ (7 - 2) = 20 ÷ 5 = 4
This is not a true equation
---------------------------------------
[tex]\frac{150}{5^2}[/tex] = [tex]\frac{150}{25}[/tex] = 6
right side = 30 - 4² - 12 = 30 - 16 - 12 = 14 - 12 = 2
This is not a true equation
--------------------------------------------------
[tex]\frac{8(7)}{2}[/tex] - 12 = [tex]\frac{56}{2}[/tex] - 12 = 28 - 12 = 16
right side = 22 - 2 × 3 = 22 - 6 = 16
This is a true equation
WHAT IS THE EQUATION IN SLOPE INTERCEPT FORM FOT THE LINE THAT PASSES THROUGH THE POINTS (2,-2) AND (-3,-17)
Answers
Answer:
y = 3x - 8
Step-by-step explanation:
to find slope the equation (y2 - y1) / (x2 - x1) is used
this means change of y over change of x
[-17 - (-2)] / (-3 - 2)
(-17 + 2) / -5
-15 / -5 = 3
the slope is 3
to find slope intercept form you must find the y intercept
using y = 3x + b and plugging things in we can find it
we can plug in the first point
-2 = 2(3) + b
b is your y intercept
-2 = 6 + b
b = -8
Answer:
y = 3/1x - 8
steps:
(2,-2) (-3, -17)
x1. y1. x2. y2
y2-y1
x2-x1
-17 - -2 = -15. = 3
-3-2. -5. 1
(2,-2)
y= mx + b
-2 = 3/1(2) + b
-2 = 6 + b
-6 -6
-8 = b
y = 3/1x - 8
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Answer:
Step-by-step explanation:
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Answer:
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Answers
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Step-by-step explanation:
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Answers
What must the value of B be if the following linear system has an infinite number of solutions
Y = -3x + 6
By- 9x + 18 = 0
Answers
Condition for infinite number of solutions (coincident lines) :-
=》a₁/a₂ = b₁/b₂ = c₁/c₂
Equations :-
1) y = -3x + 6
=》y + 3x - 6 = 0
2) By - 9x + 18 = 0
Here,
a₁ = 1, a₂ = B
b₁ = 3, b₂ = -9
c₁ = -6, c₂ = 18
Now substitute..
a₁/a₂ = b₁/b₂ = c₁/c₂
=》1/B = 3/-9 = -6/18
=》1/B = -3/9 = -6/18
Now,
=》a₁/a₂ = b₁/b₂
=》1/B = -3/9 (cross multiplication)
=》1 × 9 = -3B
=》9 = -3B
=》9/-3 = B
=》-3 = B
OR
=》a₁/a₂ = c₁/c₂
=》1/B = -6/18 (cross multiplication)
=》1 × 18 = -6B
=》 18 = -6B
=》18/-6 = B
=》-3 = B
The value of B if the following linear system has an infinite number of solutions is -3.
_______
RainbowSalt2222 ☔
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Answers
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Step-by-step explanation: Easy
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Answers
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
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A
Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
254
Step-by-step explanation:
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Hope it can help you lovelots
The solution to the radical expression 256-√4 will be 254.
What is a radical expression?An expression with the radical (√) symbol is referred to as a radical expression in mathematics. Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given radical expression will be solved as below:-
256-√4 = 256 - 2
= 254
Therefore, the solution to the radical expression 256-√4 will be 254.
To know more about radical expression follow
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#SPJ5
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Hope this helps!
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Answers
Answer:
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Answers
Answer:
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