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Kruka [31]
3 years ago
11

f. A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probab

ility that the coin will land with the head up on the fourth toss? a. 0 b. 1/16 c. 1/8 d. 1/2
Mathematics
2 answers:
vladimir2022 [97]3 years ago
7 0

Answer:

D. 1/2

Step-by-step explanation:

Coin tosses are independent.  Past results don't affect future probabilities.  So the probability of getting heads on the fourth toss is still 1/2.

sattari [20]3 years ago
4 0

Answer:

D. 1/2

Step-by-step explanation:

Flipping coin is an INDEPENDENT event, meaning that if you flip a coin before, it is NOT going to affect the outcome of the next coin flipping

Since a coin has 2 sides, so the probability is 1/2

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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.
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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.

So:

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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