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3 years ago

Alli rolls a standard -sided die twice. What is the probability of rolling integers that differ by on her first two rolls?

Mathematics

1 answer:

Virty [35]3 years ago

3 0

Okay lol i lol i i lol lol lol just said that he’s not

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In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per

Firlakuza [10]

Answer:

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is, $P_0=450,000$

Growth rate is, $r=5\%=0.05$

Final population is, $P=700,000$

A population growth is an exponential growth and is modeled by the following function:

$P=P_0(1+r)^x$

Taking log on both sides, we get:

$\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}$

Plug in all the given values and solve for 'x'.

$x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10$

So, for $x > 9.13$ , the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

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3 years ago

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sweet [91]

Answer:

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Step-by-step explanation:

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3 years ago

Heather buys a dog bowl priced at $8. If the sales tax is 10%, how much tax will Heather<br> pay?

Fantom [35]

Answer:

I think the answer is 2 dollars

Step-by-step explanation:

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3 years ago

A pine tree measured 40½ feet tall. Over the next 7½ years, it grew to a height of 57 feet. During the 7½ years, what was the av

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I got 2.2 feet each year

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3 years ago

I need help with 47 and 48 please please!

sergey [27]

48. B and 47 is out of c and b

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