The world's population was 5.51 billion on January 1, 1993 and 5.88 billion on January 1, 1998. Assume that at any time the population grows at a rate proportional to the population at that time. In what year should the world's population reach 8 billion

The world's population should reach 8 billion during the year 2021.

Step-by-step explanation:

The world population can be modeled by the following equation:

It's solution is:

In which P(t) is the population in t years ater 1993, in billions of people, P(0) is the initial population(in 1993) and r is the growth rate.

5.51 billion on January 1, 1993

This means that P(0) = 5.51.

5.88 billion on January 1, 1998.

1998 - 1993 = 5

This means that P(5) = 5.88

We use this as a mean to find the value of r.

Assume that at any time the population grows at a rate proportional to the population at that time. In what year should the world's population reach 8 billion

t yers after 1993, in which t is found when P(t) = 8. So

1993 + 28.68 = 2021.68

The world's population should reach 8 billion during the year 2021.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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