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EleoNora [17]
3 years ago
7

About 70,000 people live in a 6-mile radius of a city's town hall. Find the population density in people per square mile. Round

your answer to the nearest whole number.
The population density is about _
people per square mile.
Mathematics
1 answer:
nika2105 [10]3 years ago
7 0

Answer:

The population density is 618.93 per square mile.

Step-by-step explanation:

It is given that,

No. of people, N = 70,000

The radius of a city's town hall, r = 6 miles

We need to find the population density. It can be calculated by the formula i.e. number of people divided by area of land such that,

P=\dfrac{N}{A}\\\\P=\dfrac{N}{\pi r^2}\\\\P=\dfrac{70000}{\pi (6)^2}\\\\P=618.93\ \text{per square mile}

So, the population density is 618.93 per square mile.

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New York got 4.64 times more snow than Boston did.

If Boston got 2.8 feet of snow and New York City got 13 feet, the amount of feet that New York got more than Boston is:

= Amount of snow New York got / Amount of snow Boston got

= 13 / 2.8

= 4.64 more than Boston

New York therefore got about 4.64 more snow than Boston did

<em>Find out more at brainly.com/question/24074411. </em>

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Question:
faltersainse [42]

Answer:

The probability that a ship that is declared defecive is sound is 0.375

Step-by-step explanation:

Let P(A|B) denote the conditional probability of A given B. We will make use of the equation

P(A|B) = P(A) × P(B|A) / P(B)

We have the probabilities:

  • P(Declared Defective (detected) | Defective) = 0.95
  • P(not Detected | Defective) = 1-0.95=0.05
  • P(Declared Sound | Sound) = 0.97
  • P(Declared Defective |Sound) = 1-0.97=0.03
  • P(Defective)=0.05
  • P(Sound)= 1- 0.05 = 0.95

We can calculate:

P(Declared Defective)= P(Detected | Defective)×P(Defective) + P(Declared Defective |Sound) ×P(Sound) = 0.95×0.05 + 0.03×0.95=0.076

P(S | Declared Defective) =

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=0.95×0.03 /0.076 =0.375

3 0
3 years ago
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