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Mariulka [41]
2 years ago
14

Brian usually brushes his teeth in the morning, but 10% of the time he forgets. What is the probability that he will forget to b

rush his teeth three days in a row (Assume that forgetting one day does not influence any other day.)
Mathematics
1 answer:
Katena32 [7]2 years ago
5 0

Using it's concept, it is found that there is a 0.001 = 0.1% probability that he will forget to brush his teeth three days in a row.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, for each day, there is a 0.1 probability that he forgers to brush his teeth, and days are independent, hence for 3 consecutive days the probability is given by:

p = (0.1)³ = 0.001.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

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There are about 320 million people living in the United States. Of these, how many would you predict wear corrective lenses
tiny-mole [99]

Answer:

240 million

Step-by-step explanation:

Google said that three out of four people wear corrective lenses which is also 75%. So whats 75% out of 320 million? <u>Half of 320 million is 160 million</u>. <u>Half of 160 million is 80 million, 160 million plus 80 million is </u><u>240 million.</u>

8 0
3 years ago
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The axis of symmetry for the function f(x) = –2x2 + 4x + 1 is the line x = 1. Where is the vertex of the function located?
egoroff_w [7]

Answer:

(1, 3)

Step-by-step explanation:

You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola.  The first few steps are as follows.  Set the parabola equal to 0 so you can solve for the vertex.  Separate the x terms from the constant by moving the constant to the other side of the equals sign.  The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out).  Let's start there.  The first 2 steps result in this polynomial:

-2x^2+4x=-1.  Now we factor out the -2:

-2(x^2-2x)=-1.  Now we complete the square.  This process is to take half the linear term, square it, and add it to both sides.  Our linear term is 2x.  Half of 2 is 1, and 1 squared is 1.  We add 1 into the set of parenthesis.  But we actually added into the parenthesis is +1(-2).  The -2 out front is a multiplier and we cannot ignore it.  Adding in to both sides looks like this:

-2(x^2-2x+1)=-1-2.  Simplifying gives us this:

-2(x^2-2x+1)=-3

On the left we have created a perfect square binomial which reflects the h coordinate of the vertex.  Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:

-2(x-1)^2+3=y

From this form,

y=-a(x-h)^2+k

you can determine the coordinates of the vertex to be (1, 3)

5 0
3 years ago
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If u bring 10 empty bottles to the bottle shop, the bottle shop will change 10 empty bottles for a drink. If u bring 100 bottles
lakkis [162]
100 divided by 10 is ten, so they would give you ten bottles! 
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3 years ago
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Sandy makes $2 profit on every cup of lemonade that she sells and $1 on every cupcake she sells. Sandy wants to sell at least 5
Assoli18 [71]

Answer:

two possible combinations are

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Step-by-step explanation:

5 0
3 years ago
a hose fills a hot tub at a rate of 3.59 gallons per minute. how many hours will it take to fill a 309 gallon hot tub​
iris [78.8K]

Answer:

about 1.43 hours.

Step-by-step explanation:

You can use your original equation to find how many minutes it takes to fill up the 309 gallon hot tub.

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x= how many minutes it takes to fill up a certain gallon.

Divide both sides by 3.59 to isolate x and you get x=86.0724234.

That is how many minutes it takes.

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There is also another way which is called dimensional analysis, but I don't know if you guys learned that yet.

Hope my answer helps!

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3 years ago
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