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Soloha48 [4]
2 years ago
12

Your favorite restaurant has a promotion where you can win free food. You will roll 2 dice. The sum of the 2 dice will determine

which prize you receive.
2-column table with 11 rows. Column 1, outcome, entries 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12. Column 2, probability, entries StartFraction 1 Over 36 EndFraction, StartFraction 2 Over 36 EndFraction, StartFraction 3 Over 36 EndFraction, StartFraction 4 Over 36 EndFraction, StartFraction 5 Over 36 EndFraction, StartFraction 6 Over 36 EndFraction, StartFraction 5 Over 36 EndFraction, StartFraction 4 Over 36 EndFraction, StartFraction 3 Over 36 EndFraction, StartFraction 2 Over 36 EndFraction, StartFraction 1 Over 36 EndFraction.



If a customer rolls a sum of 5 or 6, the prize is 10% off of today’s purchase.



What is the probability of receiving this discount? Enter your answer as a decimal rounded to the hundredths place.



P(10% off) =
Mathematics
1 answer:
nekit [7.7K]2 years ago
6 0

Answer:

0.25

Step-by-step explanation:

edge '22

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!!PLEASE HELP ME ANSWER!!
Igoryamba

Answer:

x = \sqrt{w(w+z)}

Step-by-step explanation:

By the Pythagorean theorem, triangle BCD has

y^2 = x^2 - w^2

and triangle ABD has

v^2 = y^2 + z^2.

Substituting the first equation into the second equation for y^2 gives the equation

v^2 = (x^2 - w^2) + z^2

Now triangle ABC has

(w+z)^2 = x^2 + v^2

Expanding out the left side, w^2 + 2wz + z^2 = x^2 + v^2.

Now substitute the equation from before, v^2 = x^2 - w^2 + z^2, into the new equation.

w^2 + 2wz + z^2 = x^2 + (x^2 - w^2 + z^2)

w^2 + 2wz + z^2 =2x^2 - w^2 + z^2

We work to isolate x^2 by adding w^2 to both sides of equation and subtracting z^2 from both sides.

2w^2 + 2wz = 2x^2

Divide both sides by 2 and you get w^2 + wz = x^2

Assume that x is positive and square root both sides to get the final result of

x = \sqrt{w^2 + wz} = \sqrt{w(w+z)}

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3 years ago
Evaluate f(9) given the function f(x)=3x2 – 11x - 21*
Blizzard [7]

Answer:

123

Step-by-step explanation:

The given function is :

f(x)=3x^2 - 11x - 21

We need to find the value of f(9). It can be done by putting x = 9 in the above function as follows :

f(9)=3(9)^2 - 11(9) - 21\\\\=243-99-21\\\\=123

So, the value of f(9) is 123.

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3 years ago
Solve the system using multiplication for the linear combination method.
kipiarov [429]
6x-3y=3
-2x+6y=14.
First step is multiply the top equation by 2, so you have
12x-6y=6
-2x+6y=14
-6y and +6y cancel each other out, so if you simplify, you have
10x=20, which is then solved by dividing each side by 10, and getting x=2.

Now plug x=2 into one of the equations (I chose the first)
6(2)-3y=3
12-3y=3
-3y=-9, divide each side by -3 and get y=3.
so your point is (2,3)
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