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lara [203]
3 years ago
6

There are 9 red gumballs, 5 green gumballs, 8 yellow gumballs, and 8 blue gumballs, what is the probability of choosing green th

en yellow. please explain how you got your answer.
Mathematics
1 answer:
Alex777 [14]3 years ago
3 0
9+5+8+8=30  <-- all balls

The probability of choosing green ball is \dfrac{5}{30}=\dfrac{1}{6}
The probability of choosing yellow ball is \dfrac{8}{30}=\dfrac{4}{15}

So, the probability of choosing green ball and then yellow one is \dfrac{1}{6}\cdot\dfrac{4}{15}=\dfrac{2}{45}


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Answer:

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1. Delia purchased a new car for $23,350. This make and model straight line depreciates to zero after 13 years.
frosja888 [35]

Answer:

a. y-intercept = 23350 and x-intercept = 13

b. m = -\frac{23350}{13}

c. y = -\frac{23350}{13}x + 23350

Step-by-step explanation:

Given

Years = 13

Total\ depreciation = \$23350

Solving (a): The x and y intercepts

The y intercept is the initial depreciation value

i.e. when x = 0

This value is the value of the car when it was initially purchased.

Hence, the y-intercept = 23350

The x intercept is the year it takes to finish depreciating

i.e. when y = 0

From the question, we understand that it takes 13 years for the car to totally get depreciated.

Hence, the x-intercept = 13

Solving (b): The slope

The slope (m) is the rate of depreciation per year

This is calculated by dividing the total depreciation by the duration.

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m = \frac{23350}{13}

Because it is depreciation, it means the slope represents a deduction.

So,

m = -\frac{23350}{13}

Solving (c): The straight line equation

The general format of an equation is:

y = mx + b

Where

m = slope

b = y\ intercept

In (a), we have that:

y\ intercept = 23350

In (b), we have that:

Slope\ (m) = -\frac{23350}{13}

Substitute these values in y = mx + b

y = -\frac{23350}{13}x + 23350

<em>Hence, the depreciation equation is: </em>y = -\frac{23350}{13}x + 23350<em></em>

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