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3 years ago

in a game using two dice, a person wins if the outcome is a prime number. Find the probability of winning.

Mathematics

1 answer:

AlexFokin [52]3 years ago

7 0

Answer:

45% I think because prime numbers are 5/ the 11 possible numbers when rolling two die

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Which point on the graph shows the price of 6 ounces of cheese? Use the formula y=x÷2 to find y when x is 6.

Gwar [14]

Answer: The required point is A(6, 3) in the attached graph.

Step-by-step explanation: We are to find the point on the given graph that shows the price of 6 ounces of cheese.

The formula to be used is given by

$y=x\div 2\\\\\Rightarrow y=\dfrac{x}{2}~~~~~~~~~~~~~~~~(i).$

Given that,

when x = 2 then y = 1. That is, price of 2 ounces of cheese is $1.

when x = 7 then y = 3.5. That is, price of 7 ounces of cheese is $3.5.

when x = 14 then y = 7. That is, price of 14 ounces of cheese is $7.

Therefore, these points satisfy the given relation (i).

Hence, if x = 6, then from equation (i), we have

$y=\dfrac{x}{2}=\dfrac{6}{2}=3.$

Thus, the price of 6 ounces of cheese is &3. This gives that the required point is A(6, 3) on the graph attached below.

8 0

3 years ago

Read 2 more answers

You are to manufacture a rectangular box with 3 dimensions x, y and z, and volume v=8000. Find the dimensions which minimize the

Inga [223]

Answer:

20 by 20 by 20

Step-by-step explanation:

Let the total surface of the rectangular box be expressed as S = 2xy + 2yz + 2xz

x is the length of the box

y is the width and

z is the height of the box.

S = 2xy + 2yz + 2xz ... 1

Given the volume V = xyz = 8000 ... 2

From equation 2;

z = 8000/xy

Substituting into equation 1;

S = 2xy + 2y(8000/xy)+ 2x(8000/xy)

S = 2xy+16000/x+16000/y

Differentiating the resulting equation with respect to x and y will give;

dS/dx = 2y + (-16000x⁻²)

dS/dx = 2y - 16000/x²

Similarly,

dS/dy = 2x + (-160000y⁻²)

dS/dy = 2x - 16000/y²

Note that at the turning point, ds/dx = 0 and ds/dy = 0, hence;

2y - 16000/x² = 0 and 2x - 16000/y² = 0

2y = 16000/x² and 2x = 16000/y²

2y = 16000/(8000/y²)²

2y = 16000×y⁴/64,000,000

2y = y⁴/4000

y³ = 8000

y =³√8000

y = 20

Given 2x = 16000/y²

2x = 16000/20²

2x = 16000/400

2x = 40

x = 20

Since Volume of the box is V = xyz

8000 = 20(20)z

8000 = 400z

z = 8000/400

z = 20

Hence, the dimensions which minimize the surface area of this box is 20 by 20 by 20.

3 0

3 years ago

I need to know what the measure of mkl is

LUCKY_DIMON [66]

I would say the answer would be 105

5 0

3 years ago

What is the length of AC¯¯¯¯¯ ? Enter your answer in the box. units Triangle A B C with vertical side A C. Vertex B lies to the

lions [1.4K]

Since m<A ≅ m<C, AB = BC.

And...

x+4=3x-8

-2x=-12

x=6

Since AC=x, AC=6.

answer: AC = 6

7 0

3 years ago

Read 2 more answers

Nick buys 2 shirts and 4 hats for a total of $44.00. Hours f the hats cost $5.00 each,how much does each shirts costs

skad [1K]

Answer:

Each shirt costs 12$

Step-by-step explanation:

Simple steps :)

1. Times 4 by 5 which equals 20

2. Next subtract 20 by 44 which is 24

3. Now take 24 and divide by 2 (Since there are 2 shirts) this is you answer

One shirt costs 12$

Hope this helped have a GOOD day :)

8 0

3 years ago