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Eduardwww [97]
3 years ago
13

What is 16=10/3a equal

Mathematics
1 answer:
Aleks [24]3 years ago
5 0
1. You would multiply both sides by 3a to kill the fraction:   (3a)16=10/3a(3a)

2. 3a times 16 equals 48a, and 10/3a times 3a equals 10, so your new equation is 48a=10

3. Now since you want to get a by its self, you would divide both sides by 48

4. The new equation is now a=10/48

5. That can be simplified to a=5/24
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What is the probability of obtaining threethree tailstails in a row when flipping a​ coin? Interpret this probability.
Korolek [52]

Answer:

P=0.125

If it is repeated 10,000, it is expected "3 tails in a row" about 1,250 times.

Step-by-step explanation:

When flipping a coin a number of times, we can modeled this as a random variable with a binomial distribution.

In this case, we have to calculate the probability of 3 consecutive tails. If we define p as the probability of getting a tail (which has a value of p=0.5 if it is an unbiased coin), the probability of getting 3 tails in a row is:

P=p^3=0.5^3=0.125

If that event of "flipping a coin 3 times" is repeated 10,000 times, we can expect to have 3 tails in a row about 1,250 times:

E=nP=10,000*0.125=1,250

because we expect 0.125 events of this type for every try, so we can multiply this probability (or expected frequency) by the number of trials and we get the expected number of events described.

4 0
3 years ago
Kendra is considering two different long-distance phone plans. Phone plan A charges a $100 sign-up fee and 3 cents per minute. P
Fed [463]

Answer:

Part 1) The number of minutes in a month must be greater than 50 in order for the plan A to be preferable

Part 2) The number of minutes in a month must be equal to 50 minutes

Step-by-step explanation:

<u><em>The question is</em></u>

Part 1) How many minutes would Kendra have to use in a month in order for the plan A to be preferable? Round your answer to the nearest minute

Part 2) Enter the number of minutes where Kendra will pay the same amount for each long distance phone plan

Part 1)

Let

x ---> the number of minutes

we have

<em>Cost Plan A</em>

3x+100

<em>Cost Plan B</em>

5x

we know that

In order for plan A to be cheaper than plan B, the following inequality must hold true.

cost of plan A < cost of plan B

substitute

3x+100 < 5x

solve for x

subtract 3x both sides

100< 5x-3x\\100

divide by 2 both sides

50 < x

Rewrite

x> 50\ min

therefore

The number of minutes in a month must be greater than 50 in order for the plan A to be preferable

Part 2)

Let

x ---> the number of minutes

we have

<em>Cost Plan A</em>

3x+100

<em>Cost Plan B</em>

5x

we know that

In order for plan A cost the same than plan B, the following equation must hold true.

cost of plan A = cost of plan B

substitute

3x+100= 5x

solve for x

5x-3x=100\\2x=100\\x=50\ min

therefore

The number of minutes in a month must be equal to 50 minutes

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3 years ago
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Answer:

the line modeling the baking powder and the flour used

Step-by-step explanation:

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anastassius [24]
B. because there is a variable (2b - 5)
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A room is 4.5 meters wide. How wide is the room cm
Andrej [43]
Since there are 100 centimeters in a meter, then you multiply 100 by 4.5.
The answer is 450 centimeters.
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