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PilotLPTM [1.2K]

3 years ago

10

PLEASE HELP! The sum of Louise’s age and Todd’s age is 34 years. Five years ago, the sum of twice Louise’s age and three times T

odd’s age was 61 years. How old are they now?

1 answer:

Hoochie [10]3 years ago

8 0

Answer:

Louise is 16

Todd is 18

Step-by-step explanation:

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There are 102102 students in a statistics class. The instructor must choose two students at random. Students in a Statistics Cla

asambeis [7]

Answer:

0.0087 probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

What is the probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random?

There are 5 freshman non-Statistics majors out of 102 students.

Then, there will be 18 junior statistics majors out of 101 students(1 will have already been chosen). So

$p = \frac{5}{102}*\frac{18}{101} = \frac{5*18}{102*101} = 0.0087$

0.0087 probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random

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3 years ago

How to determine the maximum and minimum lengths of a missing side on a triangle?

VashaNatasha [74]

Well to find the missing side you're going to need the other two. Take the one side and multiply by itself. Take the other one and multiply by itself. Add those two products. Then root it. Basically find something that multiplys by itself to get that product

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3 years ago

Simplify square root 50x^6

brilliants [131]

The rule of law of the square root of constants is taking the nearest divisible number which has a square root of an integer. In this case, 50 is divisible by 25. Hence sqrt of 50 is 5 sqrt 2. The sqrt of a variable applies the multiplication rule. x^6 is raised to 0.5 equal to x^3. Hence the answer is 5 x3 sqrt 2.

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3 years ago

Find the quotient of '(16t^2-4)/(8t+4)'

Marizza181 [45]

here we have to find the quotient of '(16t^2-4)/(8t+4)'

now we can write 16t^2 - 4 as (4t)^2 - (2)^2

the above expression is equal to (4t + 2)(4t - 2)

there is another expression (8t + 4)

the expression can also be written as 2(4t + 2)

now we have to divide both the expressions

by dividing both the expressions we would get (4t + 2)(4t - 2)/2(4t + 2)

therefore the quotient is (4t - 2)/2

the expression comes out to be (2t - 1)

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3 years ago

After the mill in a small town closed down in 1970, the population of that town started decreasing according to the law of expon

wlad13 [49]

Answer:

$P_o = \frac{143000}{e^{-20*0.01303024661}}=110193.69$

And we can round this to the nearest up integer and we got 110194.

Step-by-step explanation:

The natural growth and decay model is given by:

$\frac{dP}{dt}=kP$ (1)

Where P represent the population and t the time in years since 1970.

If we integrate both sides from equation (1) we got:

$\int \frac{dP}{P} =\int kdt$

$ln|P| =kt +c$

And if we apply exponentials on both sides we got:

$P= e^{kt} e^k$

And we can assume $e^k = P_o$

And we have this model:

$P(t) = P_o e^{kt}$

And for this case we want to find $P_o$

By 1990 we have t=20 years since 1970 and we have this equation:

$143000 = P_o e^{20k}$

And we can solve for $P_o$ like this:

$P_o = \frac{143000}{e^{20k}}$ (1)

By 2019 we have 49 years since 1970 the equation is given by:

$98000 = P_o e^{49k}$ (2)

And replacing $P_o$ from equation (1) we got:

$98000=\frac{143000}{e^{20k}} e^{49k} =143000 e^{29k}$

We can divide both sides by 143000 we got:

$\frac{98000}{143000} =0.685 = e^{29k}$

And if we apply ln on both sides we got:

$ln(0.685) = 29k$

And then k =-0.01303024661[/tex]

And replacing into equation (1) we got:

$P_o = \frac{143000}{e^{-20*0.01303024661}}=110193.69$

And we can round this to the nearest up integer and we got 110194.

7 0

3 years ago