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bogdanovich [222]

2 years ago

14

Dice Rolls: If you roll a pair of fair dice, what is the probability of each of the following? (round all answers to 4 decimal p

laces)
a) getting a sum of 1?

b) getting a sum of 5?

c) getting a sum of 12?

1 answer:

maria [59]2 years ago

4 0

Answer:

(A)= 0

(B)= 1/9

(C)= 1/36

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Graph f(x)=2^x+1 and g(x)=−x+4 on the same coordinate plane.

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Given f(x)= 2^x +1

g(x)= -x +4

We have to find the value of x which satisfy the condetion : f(x)= g(x)

Solution : let us place expression given for f(x) and g(x) equal to each other

This gives us : 2^x + 1 = -x+ 4

Let us bring all x terms on left side only

we add x on both sides this makes : 2^x +1 +x = -x+ 4 +x

on the right side -x and +x becomes a "0"

we get : 2^x + 1 + x = 4

* let us nopw bring all the numeric terms on left side only

subtract 1 from both sides : 2^x + 1 + x - 1 = 4- 1

on the left side +1 and -1 becomes a "0"

on the rigth side 4-1 becomes a "3"

equation look like : 2^x + x = 3

We can see the right side is an odd number

on the left side there is sum of two terms one of them is 2^x which is an even number always .

we know that sum of an even number with an even number result out an even number

but we want a result as an odd number (3)

this suggest that x should be an odd number .

Also the sum of 2^x and x is 3 so 2^x should be smaller than 3

the smallest value ( x being an integer )

2^x can have is : 2^1= 2 which is for x=1

let us check plugging x= 1 . 2^1 + 1 = 3 which is TRUE

Hence answer is x= 1

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3 years ago

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China's population is 1.446×10^9 . Marshall Island's population is 6.025×10^4 .

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This is 1.446 * 10^9 / 6.025 * 10^4 = 0.24 * 10^5 = 2.4 * 10^4 Answer

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2 years ago

What is the following simplified product? Assume x greater-than-or-equal-to 0 2 StartRoot 8 x cubed EndRoot (3 StartRoot 10 x Su

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The simplified expression of 2√8x³(3√10x⁴ - x√5x²) is 24x³√5x - 4x³√10x

<h3>How to determine the simplified product?</h3>

The complete question is added as an attachment

From the attached figure, the product expression is:

2√8x³(3√10x⁴ - x√5x²)

Evaluate the exponents

2√8x³(3√10x⁴ - x√5x²) = 2 *2x√2x(3x²√10 - x²√5)

Evaluate the products

2√8x³(3√10x⁴ - x√5x²) = 4x√2x(3x²√10 - x²√5)

Open the bracket

2√8x³(3√10x⁴ - x√5x²) = 12x³√20x - 4x³√10x

Evaluate the exponents

2√8x³(3√10x⁴ - x√5x²) = 24x³√5x - 4x³√10x

Hence, the simplified expression of 2√8x³(3√10x⁴ - x√5x²) is 24x³√5x - 4x³√10x

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Derrick and Sam need 10 pounds of colored gravel for the bottom of their new fish tank. Derrick has 2 pounds of purple gravel an

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Answer:

4 yellow gravel . 2+4=6

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3 years ago

A Cake mix contains sugar and flour. The mass of the sugar is 14 2/7% of the mass of the flour. What is the percent of flour in

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Answer:

700/8% or 87.5%

Step-by-step explanation:

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