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Debora [2.8K]
3 years ago
12

One three rolls of a single die, you will lose $14 if a 6 turns up at least once, and you will win $6 otherwise. What is the exp

ected value of the game?
Mathematics
1 answer:
horrorfan [7]3 years ago
3 0
The probability against a 6 turning up is (5/6)^3, or 0.5787037037037037037037037037037. So, the probability of at least one 6 rolled is 1-0.5787037037037037037037037037037=0.4212963. So:
5787037037037037037037037037037 x 6=3.4722222222222222222222222222222
0.4212963 x -14=-5.8981481481481481481481481481481
So, the expected value is 3.4722222222222222222222222222222
-5.8981481481481481481481481481481=$-2.426, or a loss of $2.43
☺☺☺☺





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Suppose the measure of an angle is 67 degrees what is the measure of its complementary angle
avanturin [10]
Complementary angles are angles whose sum is 90 degrees.

90 - 67 = 23

23 degrees is the measure of its complementary angle.
3 0
3 years ago
How do you solve -2(6x+3)=-27–5x ?
kvasek [131]
Hi!

Our goal is to isolate x on one side by doing the same operation on both sides.

First let's use the distribution property.
-2 x 6 = -12
-2 x 3 = -6
-12x - 6 = -27 - 5x

Add 6 to both sides
-12x - 6 + 6 = -27 + 6 - 5x
-12x = -21 - 5x

Add 5x to both sides
-12x + 5x = -21 - 5x + 5x
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Divide by -7 on both sides
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The answer is x = 3

Hope this helps! :)
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3 years ago
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mina [271]

Answer:

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2 years ago
How do u graph x+y=-2​
sdas [7]

Answer:

The answer is

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Step-by-step explanation:

The problem is

x + y =  - 2

First we have to bring x to the other side se we subtract x from both sides

x + y =  - 2 \\  - x \:  \:  \:  =  - 2 - x

Then we have to put it in order so the answer is

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4 0
3 years ago
The circumference of a circular stage is 157 feet. If Chris paints the stage at a rate of 400 square feet per hour, how long wou
Korolek [52]
We need the circumference and area of the circle equations:
c = 2*pi*r
a = pi*r^2
lets find the radius from the first equation:
r = c/2*pi
r = 157/(2*3.14)
r = 24.99 ft
now lets calculate the area:
a = pi*r^2
a = 3.14*(24.99)^2
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Now we need to divide the total area by the rate at which Chris paints, and that gives us the time needed:
time = <span>1960.93/400
time = 4.9 hours
that would be 5 hours rounded to the nearest hour</span>
8 0
3 years ago
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