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dmitriy555 [2]
3 years ago
13

The weather in Columbus is either good, indifferent, or bad on any given day. If the weather is good today, there is a 60% chanc

e the weather will be good tomorrow, a 30% chance the weather will be indifferent, and a 10% chance the weather will be bad. If the weather is indifferent today, it will be good tomorrow with probability .40 and indifferent with probability .30. Finally, if the weather is bad today, it will be good tomorrow with probability .40 and indifferent with probability .50.

Mathematics
1 answer:
Artyom0805 [142]3 years ago
5 0

Answer:

Step-by-step explanation:

a)Whatis thestochastic matrix for thissituation?

b)Suppose there is a 50% chance of good weather today and 50% of indifferent.What are the chances of badweather tomorrow?

c)Suppose the predicted weather for Monday is 40% indifferent and 60%bad.What are the chances for good weather on Wednesday?

Attached below is the solution :

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The formula for depreciation is V=P(1-r)t where P is the beginning price of the asset, r is the annual rate of depreciation writ
Bad White [126]

Answer:

The value of the car after 5 years is $ 13,035 to the nearest dollar.

Step-by-step explanation:

The formula for depreciation is

V=P(1-r)^t

where P=24,700\:dollars is the beginning price of the asset,

r=12\% is the annual rate of depreciation written as a decimal,

r=0.12

t=5 is the number of years, and V is the value after t years.


Now substitute all these values into the formula to get,

V=24,700(1-0.12)^5


This  simplifies to,

V=24,700(0.88)^5


\Rightarrow V=24,700(0.5277319168)


\Rightarrow V=13,034.97834


The value of the car after 5 years is $ 13,035 to the nearest dollar.



8 0
3 years ago
Can anyone help?
SVEN [57.7K]

For the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

Since the equation is (2k + 1)x² + 2x = 10x - 6, we collect subtract 10x from both sides and add 6 to both sides.

So, we have (2k + 1)x² + 2x - 10x + 6 = 10x - 6 - 10x + 6

(2k + 1)x² - 8x + 6 = 0

For the equation, (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, this new equation (2k + 1)x² - 8x + 6 = 0 must also have two real and equal roots.

For the equation to have two real and equal roots, its discriminant, D = 0.

D = b² - 4ac where b = -8, a = 2k + 1 and c = 6.

So, D =  b² - 4ac

D =  (-8)² - 4 × (2k + 1) × 6 = 0

64 - 24(2k + 1) = 0

Dividing through by 8, we have

8 - 3(2k + 1) = 0

Expanding the bracket, we have

8 - 6k - 3 = 0

Collecting like terms, we have

-6k + 5 = 0

Subtracting 5 from both sides, we have

-6k = -5

Dividing through by -6, we have

k = -5/-6

k = 5/6

So, for the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

Learn more about quadratic equations here:

brainly.com/question/18162688

4 0
2 years ago
What addition statement does this show?
Anuta_ua [19.1K]

Answer:

D. –5.2 + (–6.4) = –11.6

Step-by-step explanation:

First, you can eliminate A and C because 5.2 is positive. Since the red arrow is pointing left, it indicates that the number (-5.2) is negative.

Then, you look at the second arrow, the green one. It is pointing left, so it would be -6.4.

I hope this helps :)

3 0
2 years ago
What is the area (in square feet) of a rectangle that measures 12'-7" by 9'-9"?
ikadub [295]

Answer:

122.6875 (122 ft 8.25 in)

Step-by-step explanation:

12 ft 7in = 151 in

9 ft 9 in = 117 in

151 x 117 = 17667

17667in = 122 ft and 8.25 in = 122.6875 ft

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

3 0
2 years ago
Fill in the blanks with the correct words:
Natali [406]
An expression must contain a variable


The equation y-4=1 has many solution(s).
5 0
3 years ago
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