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3 years ago

The probability of winning a particular game at the Game Place is 14 1/4 . Find the odds against winning the game.

1 answer:

6 0

ANSWER

$\frac{1}{3}$

EXPLANATION

We want to find an odds ratio from a given probability, which is

$\frac{1}{4}$

We subtract the numerator 1 from the denominator 4 to obtain

$4- 1= 3$

The answer is the number of unfavorable outcomes.

The Odds can then be expressed as

$1 : 3$

The ratio of favourable outcomes to unfavorable outcomes.

Or

$\frac{1}{3}$

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To answer this question, we have the start-up costs of $ 52,000

A monthly inflation of $ 0 is assumed

Operating costs are $680

The daily gain is $960

For the Part A.

The inequality that this situation represents

$960d-680d>52000$

So:

$d(960-680)>52000$

Where d represents the number of days.

For the Part B.

To start earning, you must replace all the initial investment and cover the expenses per day. The time that must pass for this to happen is obtained by clearing "d" from the inequality.

$d>\frac{52000}{960-680}$

d> 185.71 days

Then, the sum of the net profits will be greater than the initial investment after 186 days of starting the business.

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3 years ago

Beginning inventory: $14,320 Merchandise Purchases: $7,880 Goods available for sale: (a) Ending inventory: $11,250 Cost of goods

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Answer:

$22,200

$10,950

Step-by-step explanation:

Goods available for sale = beginning inventory + Merchandise Purchases

$14,320 + $7,880 = $22,200

Ending inventory = goods available for sale - ending inventory

$22,200 - $11,250 = $10,950

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3 years ago

Angle BCD is a circumscribed angle of circle A. Angle BAC measures 53°.

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Answer:

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

What is the partial fraction decomposition of StartFraction 8 x + 19 Over (x + 8) (x minus 1) EndFraction? StartFraction 3 Over

hoa [83]

The partial fraction decomposition is $\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}$

<h3>How to determine the decomposition?</h3>

The fraction is given as:

$\frac{8x + 19}{(x + 8)(x - 1)}$

Split the fraction as follows:

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{A}{x + 8} + \frac{B}{x - 1}$

Take the LCM

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{Ax -A + Bx + 8B}{(x + 8)(x -1)}$

Cancel the common factors

8x + 19 = Ax - A + Bx + 8B

By comparison, we have:

Ax + Bx = 8x

-A + 8B = 19

This gives

A + B = 8

-A + 8B = 19

Add both equations

9B = 27

Divide by 9

B = 3

Substitute B = 3 in A + B = 8

A + 3 = 8

Solve for A

A = 5

So, we have:

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}$

Hence, the partial fraction decomposition is $\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}$

Read more about partial fraction at:

brainly.com/question/12783868

#SPJ1

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2 years ago