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vivado [14]
3 years ago
11

On any day, the probability of rain is 0.3. The occurrence of rain on any day is independent of the occurrence of rain on any ot

her day. Calculate the probability that, starting with tomorrow, the second day ofrain will occur within 5 days
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
8 0

Answer:

0.47178 = 47.178%

Step-by-step explanation:

Put simply, this question is asking the probability of having rain atleast twice in the next 5 days. The easiest way that comes to mind is reverse count - find the probability of it not happening. There are two cases for this:

Raining only once:

This has a .7^4 * 0.3 * 5 chance

Raining no times:

This has a .7^5 chance

Adding these together you get 0.52822

This is the inverse probability, so to find the actual probability, subtract it from 1.

P = 0.47178

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4 years ago
Read 2 more answers
The market price for a freezer was $4200. A man bought the freezer on hire purchase. He made a deposit of $1350 and twelve month
Oksanka [162]

The amount that would be saved is $330, the amount earns weekly is $170, and the worth of a $250 deposit after 2 years is $270.40.

<h3>How do we calculate the amount saved, weekly wage, and future value?</h3>

The amount that would be saved if he had bought the freezer at the market price can be calculated as follows:

Total amount paid = Deposit + (Monthly payment * 12) = $1,350 + ($265 * 12) = $4,530

Amount that would have been saved = Total amount paid - Market price = $4,530 - $4,200 = $330

The amount the man earns each week can be calculated as follows:

Amount earns weekly = Take home pay / (100% - Tax rate) = $122.40 / (100% - 28%) = $170

The worth of a $250 deposit after 2 years of compound interest can be calculated using the future value (FV) formula as follows:

FV = PV * (1 + r)^n ..................... (1)

Where:

FV = future value or the worth of a $250 deposit after 2 years = ?

PV = present value or deposit = $250

r = interest rate per annum = 4% = 0.04

n = number of years = 2

Substituting all the relevant values into equation (1), we have:

FV = $250 * (1 + 0.04)^2 = $270.40

Learn more about weekly wage here: brainly.com/question/10863476.

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3 0
2 years ago
Pablo created the bar model and equation after paying a $9.79 lunch bill with a $20 bill.
schepotkina [342]

\\ \rm\hookrightarrow 20=c+9.79

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Yes it shows the additional charge

3 0
2 years ago
A flipped coin landing heads up and rolling a 5 or 6 on a number cube
Vladimir [108]
The probability would be 1/6 if the number cube is six-sided and the coin is normal.

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Next, we will find the probability of getting a five or six with a number cube. This would be 2/6 or 1/3 because there are 6 sides it could land on and two with one of the numbers you want. 

Finally, you multiply the two probabilities. 1/3 times 1/2 equals 1/6.

Hope this helps! Have a great day!
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