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3 years ago

In 2001, the world population 6.5 billion and was increasing at a rate of 1.2% each year.

Mathematics

1 answer:

Yakvenalex [24]3 years ago

8 0

Answer:

8.0 billion

Step-by-step explanation:

1.2÷100=0.012

0.012×6.5=0.078

2017-2001=16

0.078×16=1.248

6.5+1.248=7.748

nearest tenth 8.0

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According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose t

nalin [4]

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that $p = 0.2$

Suppose that sixteen adults in the United States are selected randomly.

This means that $n = 16$

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281$

$P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126$

$P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111$

$P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981$

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

4 0

3 years ago

Please answer quickly!!!

Ivenika [448]

Answer:

3.5 min

Step-by-step explanation:

5 0

3 years ago

You plan on purchasing a car in the next year. The car that you are interested in lists for $23,000 after taxes, license, and do

bixtya [17]

Answer:

c. 8 months.

Step-by-step explanation:

First let's break down all the expenses and taxes to come up with how much we save each month and subtract it to our total salary monthly.

Total Salary : $1312.00 x 2 = $2,624.00

Current Savings : 2/3 or 0.67 = $15333.33

| Expenses |

Monthly Expenses : $1,150.12

Social Security : 6.2% or 0.062 x 2,624 = $162.69

Medicare : 1.45 or 0.0145 x 2,624 = $38.05

Taxes: $53 + $101.35 = 154.35 x 2 = $308.7

So we sum up all the expenses.

= $1659.56 Total Expenses.

Now we have to find how much extra money we have each month.

= $964.44 Extra Money

Now we subtract our current savings to the total price of the car.

= -7666.67 Balance

Now we divide the total balance to our extra money monthly.

= 7.949 Months or 8 Months

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3 years ago

Read 2 more answers

Find [g o f](x)=5x-5,g(x)=3x-2

wariber [46]

Answer:

$→f(x) = 5x - 5 \\→g(x) = 3x - 2 \\ [gof](x) = g(f(x)) = 3(5x - 5) - 2 \\ [gof](x) = 15x - 15 - 2 = 15x - 17 \\ \boxed{[gof](x) = 15x - 17}✓$

<u>[gof](x) = 15x - 17</u> is the right answer.

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3 years ago

Yosef can eat 21 jamuns while Rose can eat just 15. Complete the blank. Yosef can eat __% more jamuns than Rose.

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Answer:

Step-by-step explanation:

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