Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

17. find the population density, to the nearest tenth, for each of the …

Question

  1. find the population density, to the nearest tenth, for each of the following states. which state has the greater population density? how many more people per square mile inhabit the state with the greater density than inhabit the state with the lesser density?

state a population: 12,771,859 area: 58,236 mi²
state b population: 11,723,929 area: 41,538 mi²
the population density for state a is (1)
(round to the nearest tenth as needed.)
the population density for state b is (2)
(round to the nearest tenth as needed.)
which state has the greater population density? how many more people per square mile inhabit the state with the greater density than inhabit the state with the lesser density? choose the correct answer below and fill in the answer box to complete your answer.
(round to the nearest tenth as needed.)
a. state b has the greater population density by people per square mile.
b. state a has the greater population density by people per square mile.
(1) people per square mile. (2) people per square mile.
people per mile. people per cubic mile.
people per cubic mile. people per mile.

Explanation:

Step1: Calcular la densidad de población de State A

La fórmula para la densidad de población es \( \text{Densidad}=\frac{\text{Población}}{\text{Área}} \).
Para State A: \( \frac{12771859}{58236}\approx219.3 \)

Step2: Calcular la densidad de población de State B

Para State B: \( \frac{11723929}{41538}\approx282.2 \)

Step3: Comparar las densidades y calcular la diferencia

Como \( 282.2>219.3 \), State B tiene una densidad mayor.
La diferencia es \( 282.2 - 219.3=62.9 \)

Answer:

(1) \( 219.3 \) people per square mile.
(2) \( 282.2 \) people per square mile.
A. State B has the greater population density by \( 62.9 \) people per square mile.