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3 years ago

Determine the probability of rolling a number that is not even.

Mathematics

2 answers:

icang [17]3 years ago

7 0

Answer:

50%

Step-by-step explanation:

alexdok [17]3 years ago

7 0

Answer:

a. Rolling an odd number (not even): rolling a 1, 3 or 5

b. 50%

Step-by-step explanation:

There are 6 possible outcomes; 1, 2, 3, 4, 5 and 6.

Out of these there are 3 odd numbers (not even) and 3 even numbers

so 3 (odd numbers) / 6 (possible outcomes) = 1/2 = 50%

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A fence must be built to enclose a rectangular area of 20,000 ft^2. Fencing material costs $4 per foot for the two sides facing

Marysya12 [62]

The cost of the least expensive fence is $3200

Step-by-step explanation:

The given is:

A fence must be built to enclose a rectangular area of 20,000 ft²
Fencing material costs $4 per foot for the two sides facing north and south and $8 per foot for the other two sides

We need to find the cost of the least expensive fence

Assume that the length of each side opposite to North or South is x feet and the length of each other sides is y feet

∵ The length of the rectangle = x feet

∵ The width of the rectangle = y feet

∵ The rectangular area is 20,000 ft²

- Area of a rectangle = length × width

∴ x × y = 20,000

- Divide both sides by x to find y in terms of x

∴ $y=\frac{20,000}{x}$

The fence's length is equal to the perimeter of the rectangular area

∵ Perimeter of the rectangle = 2 length + 2 width

∴ Perimeter of the rectangle = 2x + 2y

∵ Fencing material costs $4 per foot for the two sides facing

North and South

∴ x costs $4 per foot

∵ The cost of the other two sides is $8 per foot

∴ y costs $8 per feet

The cost of the fence is the sum of the products of 4 , 2x and 8 , 2y

∵ The cost of the fence (C) = 4(2x) + 8(2y)

∴ C = 8x + 16y

- Substitute y by its value above

∴ $C=8x+16(\frac{20,000}{x})$

∴ $C=8x+\frac{320,000}{x}$

To find the least expensive differentiate C with respect to x and equate the answer by 0 to find the value of x

∵ $\frac{320,000}{x}$ can be written as $320,000x^{-1}$

∴ $C=8x+320,000x^{-1}$

∵ $\frac{dC}{dx}=8(1)x^{1-1}+320,000(-1)x^{-1-1}$

∴ $\frac{dC}{dx}=8-320,000x^{-2}$

- Equate $\frac{dC}{dx}$ by zero

∴ $8-320,000x^{-2}=0$

∵ $-320,000x^{-2}=-\frac{320,000}{x^{2}}$

∴ $8-\frac{320,000}{x^{2}}=0$

- Subtract 8 from both sides

∴ $-\frac{320,000}{x^{2}}=-8$

- Multiply both sides by x²

∴ - 320,000 = - 8x²

- Divide both sides by -8

∴ 40,000 = x²

- Take √ for both sides

∴ 200 = x

Substitute x in the equation of C to find the least cost of fence

∵ $C=8(200)+\frac{320,000}{(200)}$

∴ C = 1600 + 1600

∴ C = 3200

The cost of the least expensive fence is $3200

Learn more:

You can learn more about the differentiation in brainly.com/question/4279146

#LearnwithBrainly

5 0

3 years ago

Add 78, 139, and 14, and then divide by 44.

denpristay [2]

Answer:

5.24, 21/4, or 5 and 1/4

Step-by-step explanation:

78+139+14 = 231

231/44 = 5.25

Or 21/4 (improper fraction)

Or 5 and 1/4 (mixed number)

I'm not exactly sure what you were asking I hope that helps!

8 0

3 years ago

Drag the phrases into the box to match each expression. 3/4x+1/2 3/4−1/2x 3/4−(x+1/2) 20 pointss!!! i know i must be cra

fomenos

Answer:

$\frac{3}{4}x + \frac{1}{2}$ = One-half more than three-fourths of a number

$\frac{3}{4}-\frac{1}{2}x$ = Three-fourths minus one-half of a number

$\frac{3}{4}-(x+\frac{1}{2})$ = three-fourths minus the sum of a number and one-half

Step-by-step explanation:

Suppose x be an unknown number.

∵ 3/4th of a number = $\frac{3}{4}x$

$\frac{3}{4}x + \frac{1}{2}$ = One-half more than three-fourths of a number

Now, half of a number = $\frac{1}{2}x$

$\frac{3}{4}-\frac{1}{2}x$ = Three-fourths minus one-half of a number

Sum of a number and one-half = $x+\frac{1}{2}$

$\frac{3}{4}-(x+\frac{1}{2})$ = three-fourths minus the sum of a number and one-half

6 0

3 years ago

A recipe requires 31 cup of milk for each 41 cup of water. How

avanturin [10]

Step-by-step explanation:

here,

31 cup of milk require 41 cup of water.

1 cup of milk require 41/31 cup of water.

so, 41/31 cup of water is required for 1 cup of milk.

hope u get it..

6 0

3 years ago

You have an equation y=x+7. Is the ordered pair (1,6) a solution? Yes or no?

vaieri [72.5K]

Answer:
no

step-by-step explanation:
y=x+7
x is the slope of 1
7 is the y-intercept
because 7 is the y-intercept and the slope is positive it never touches (1,6)

8 0

3 years ago