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dalvyx [7]
2 years ago
11

PLS HELP TIMED QUESTION!!!

Mathematics
1 answer:
ser-zykov [4K]2 years ago
7 0

Answer:

About 5043.58

Step-by-step explanation:

The standard form for an exponential decay after t time is:

\displaystyle f(t)=a(r)^{t/d}

Where a is the initial value, r is the rate decay, t is the time that has passed, and d is the amount of time it takes for 1 cycle.

The initial value is 9800. So a = 9800.

The quantity cuts in half. So, r = 1/2.

And it cuts in half every 6 days. For this question, we will convert this to hours. 6 days = 144 hours. So, we can let d = 144, where t will be in hours.

Therefore, our function is:

\displaystyle f(t)=9800\Big(\frac{1}{2}\Big)^{t/144}

Where t is the amount of time that has passed, in hours.

Then the quantity left after 138 hours will be:

\displaystyle f(138)=9800\Big(\frac{1}{2}\Big)^{138/144}\approx 5043.58

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On a spinner, there are twenty equal-size sections numbered from 1 to 20. Which spinner game is fair? Show your work.
Anvisha [2.4K]

The spinner game is an illustration of probability, and the spinner game that is fair is (b) If you spin a number greater than 10, you win.

<h3>How to determine the fair game?</h3>

The number of sections in the spinner is given as:

n = 20

There are 10 numbers greater than 10 i.e. 11 to 2.

So, the probability that a number greater than 10 is spun is:

P = 10/20

P = 0.5

The probability that a number that is not greater than 10 is spun is calculated using the following complement rule

q = 1 - p

This gives

q = 1 - 0.5

Evaluate

q = 0.5

Notice that both probabilities are the equal

Hence, the spinner game that is fair is (b) If you spin a number greater than 10, you win.

Read more about probability at:

brainly.com/question/3581617

5 0
2 years ago
A 26-inch pice of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third pie
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3 years ago
Find the next three terms of the geometric sequence -8, 12, -18,27
Pie

Answer:

-40.5, 60.75, -91.125

Step-by-step explanation:

first you want to find the common difference. So just divide 12 by -8, which is -1.5 and then multiply 27 by -1.5, which is -40.5 and continue two more times.

3 0
3 years ago
Quick answers?please for more points and brainliest
nalin [4]
1. John can create 5 paintings per week. 

2. Sasha can walk 30 minutes per mile. 

3. Todd takes 24 minutes per room he cleans. 

4. Victoria takes half of one day per necklace she makes. 

5. Byron can make 12 cakes per day. 

6.  Charlie paid $130 for each table. 
5 0
3 years ago
9 please help with 9 <br><br> 10 what is P
LenaWriter [7]

Answer:

9.

The probabilities are the same

10.

1/3

Step-by-step explanation:

9.

Assuming the coin is fair;

The probability of getting heads in a single toss is, P(H) = 1/2

The probability of getting tails in a single toss is, P(T) = 1/2

Now, P(H,H,H) is the probability of obtaining 3 heads in the e tosses. Since each toss is independent of the others,;

P(H,H,H) = P(H)*P(H)*P(H)

              = 1/2 * 1/2 * 1/2 = 1/8

On the other hand, P(H,T,H) is the probability of obtaining a head followed by a tail followed by a final head. Using the independence property;

P(H,T,H) = P(H)*P(T)*P(H)

              = 1/2 * 1/2 * 1/2 = 1/8

Therefore, P(H,H,H) = P(H,T,H)

10.

We are informed that a coin is tossed and a number cube is rolled. We are to determine the following probability;

P(heads, a number less than 5)

Assuming the coin is fair;

The probability of getting heads in a single toss is, P(H) = 1/2

Assuming the number cube is fair as well, the probability of rolling a number less than 5 is;

4/6 = 2/3

This is because there are 4 numbers less than 5, (1, 2, 3, 4) while the cube has 6 sides.

P(heads, a number less than 5), the events presented here are independent since the outcome from tossing the coin does not in any way determine the outcome from rolling the number cube. Therefore,;

P(heads, a number less than 5) = P(heads)*P(a number less than 5)

                                                    = 1/2 * 2/3 = 1/3

3 0
3 years ago
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