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3 years ago

how is it possible for the expected value of a game to be losing 65 cents of the only outcomes are win $2 or lose $1

1 answer:

4 0

Let x be the probability of winning and let y be the probability of losing. Then we can write the following equation:
2x - y = -0.65 ..............(1)
the sum of the probabilities of winning and losing must equal 1.
x + y = 1............(2)
Rearranging (2), gives:
y = 1 - x ............(3)
Plugging the expression for y from (3) into (1), we get:
2x - 1 + x = -0.65
which simplifies to:
3x = 0.35
Therefore x = 0.117 and y = 0.883.
The expected value of the game will be a loss of 65 cents if the probability of winning is 0.117 and the probability of losing is 0.883.

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A 16-ounce carton of milk costs 63 cents, while a half-gallon jug of milk sells for $2.24. How much more expensive, in cents per

hram777 [196]

1 quart of the 16oz jug is $1.26 (.63x2) 1 quart of the half gallon is $1.12 (2.24/2) so 1.26-1.12= 0.14 the 16oz jugs are 14 cents more expensive than the half gallon

5 0

3 years ago

Jess will plant up to 27 acres on her farm with wheat and corn. More than 5 acres will be planted with wheat.

Lena [83]

The first thing we do in these cases is to define the variables.
We have then:
w = represent the number of acres of wheat
c = represent the number of acres of corn
We write now the inequalities based is:
"Jess will plant up to 27 acres on her farm with wheat and corn"
w + c <= 27
"More than 5 acres will be planted with wheat"
w> 5
Answer:
two inequalities that represent this situation are:
w + c <= 27
w> 5

8 0

3 years ago

Read 2 more answers

Gabriel went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 35 grams of sugar and

kupik [55]

Answer:

9 bottles of soda and 7 bottles of juice

Step-by-step explanation:

Let x be the number of bottles of soda purchased and y be the number of bottles of juice purchased.

1. Gabriel purchased 2 more bottles of soda than bottles of juice, then

$x=y+2$

2. Each bottle of soda has 35 grams of sugar, then there are 35x g of sugar in x bottles of soda.

Each bottle of juice has 10 grams of sugar, then there are 10y g of sugar in y bottles of juice.

In total, there are 35x+10y g of sugar.

All bottles collectively contain 385 grams of sugar, thus

$35x+10y=385$

3. Solve the system of two equations:

$\left\{\begin{array}{l}x=y+2\\ \\35x+10y=385\end{array}\right.$

Substitute the first equation into the second equation:

$35(y+2)+10y=385\\ \\35y+70+10y=385\\ \\35y+10y=385-70\\ \\45y=315\\ \\y=7\\ \\x=7+2=9$

7 0

3 years ago

Read 2 more answers

In triangle DEF. DF = 16 and m<F = 45Find the length of a leg. Leave your answer in simplest radical form.

kotegsom [21]

I'm ASSUMING this is a 45-45-90 right triangle and that DF is the hypotenuse.
With that said. Angle F = 45 means that angle = 45 and angle E = 90 degrees.
There is only one rule for 45-45-90 right triangles:
hypotenuse = √(2) * leg
Given the hyp = 16
16 = √(2) * leg
divide both sides by √(2)
16/√(2) = leg
Rationalize the denominator
16√(2)/(√(2)*√(2) =
(16√(2)) / 2 =
8√2

6 0

3 years ago

Until 2014, the mass of a kilogram was defined as exactly equal to the mass of a special

emmainna [20.7K]

Step-by-step explanation:

We have,

Diameter of cylinder, d = 39.2 mm

Radius, r = 19.6 cm

Height of the cylinder, h = 39.2 mm

It is required to find the surface area of this cylinder. The formula of the surface area of cylinder is given by :

$S=2\pi rh+2\pi r^2\\\\S=2\pi r(h+r)$

Putting all values we get :

$S=2\times\dfrac{22}{7}\times19.6\cdot(39.2+19.6)\\\\S=7244.16\ mm^2$

7 0

3 years ago