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sertanlavr [38]
4 years ago
15

The original price was $12, increased to $15. Find the percent increase

Mathematics
1 answer:
Studentka2010 [4]4 years ago
8 0

Answer:

25%

Step-by-step explanation:

Take the new price and subtract the original price

15-12 = 3

Divide by the original price

3/12 = .25

Multiply by 100%

25%

The percent increase is 25%

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A 2005 survey found that 7% of teenagers (ages 13 to 17) suffer from an extreme fear of spiders (arachnophobia). At a summer cam
bagirrra123 [75]

Answer:

Probability that at least one of them suffers from arachnophobia is 0.5160.

Step-by-step explanation:

We are given that a 2005 survey found that 7% of teenagers (ages 13 to 17) suffer from an extreme fear of spiders (arachnophobia).

Also, At a summer camp there are 10 teenagers sleeping in each tent.

Firstly, the binomial probability is given by;

P(X=r) =\binom{n}{r}p^{r}(1-p)^{n-r} for x = 0,1,2,3,....

where, n = number of trials(teenagers) taken = 10

           r = number of successes = at least one

          p = probability of success and success in our question is % of

                the teenagers suffering from arachnophobia, i.e. 7%.

Let X = Number of teenagers suffering from arachnophobia

So, X ~ Binom(n= 10,p=0.07)

So, probability that at least one of them suffers from arachnophobia

= P(X >= 1) = 1 - probability that none of them suffers from arachnophobia

= 1 - P(X = 0) = 1 - \binom{10}{0}0.07^{0}(1-0.07)^{10-0}

                       = 1 - (1 * 1 * 0.93^{10} ) = 1 - 0.484 = 0.5160 .

Therefore, Probability that at least one of them suffers from arachnophobia is 0.5160 .

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3 years ago
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Answer:

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Step-by-step explanation:


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Answer:

Step-by-step explanation:

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10 = 2P ⇒ P = 5

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I'm sure you know the formula for Pythagoras Theorem.

The formula is a^{2} +b^{2} = c^{2}

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