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Softa [21]
3 years ago
8

In 1995 the town of Springdale had a population of 2,378. Over the next 20 years the town's population decreased by 12.5%. What

was the population of the town in 2015?
Mathematics
1 answer:
Neko [114]3 years ago
8 0

Answer: 165

Step-by-step explanation:

Exponential equation for decay :A= P(1-r)^t , where A is the value after t year, P = initial value.

As per given ,

P= 2378

t= 20 years

r = 12.5% = 0.125

Now ,

A=2378(1-0.125)^{20}\\\\=2378(0.875)^{20}\\\\= 2378(0.0692087587)\\\\=164.57842\approx 165

Hence, the population of the town in 2015 = 165

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Answer: 1,208 seats

Step-by-step explanation:

39-18= 21

18 x 478 = 8,604

21 x 292 = 6,132

8,604 + 6,132 = 14,736

14,736 - 13,528 = 1,208

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2 years ago
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3 years ago
In a binomial experiment with 45 trials, the probability of more than 25 success can be approximated by What is the probability
Pani-rosa [81]

Answer:

0.6 is the probability of success of a single trial of the experiment

Complete Problem Statement:

In a binomial experiment with 45 trials, the probability of more than 25 successes can be approximated by P(Z>\frac{(25-27)}{3.29})

What is the probability of success of a single trial of this experiment?

Options:

  • 0.07
  • 0.56
  • 0.79
  • 0.6

Step-by-step explanation:

So to solve this, we need to use the binomial distribution. When using an approximation of a binomially distributed variable through normal distribution , we get:

\mu =\frac{np}{\sigma}=\sqrt{np(1-p)}

now,

Z=\frac{X-\mu}{\sigma}

so,

by comparing with P(Z>\frac{(25-27)}{3.29}), we get:

μ=np=27

\sigma=\sqrt{np(1-p)} =3.29

put np=27

we get:

\sigma=\sqrt{27(1-p)} =3.29

take square on both sides:

10.8241=27-27p

27p=27-10.8241

p=0.6

Which is the probability of success of a single trial of the experiment

5 0
3 years ago
What is 4 radical 3 divided by 2?
Arte-miy333 [17]
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5 0
2 years ago
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