All categories

3 years ago

The formula below gives T the approximate time in years it takes a population to double if the annual growth rate is r percent

Mathematics

2 answers:

valkas [14]3 years ago

6 0

T=70/r
T=70/4.6
T=15 years

It's b

ivolga24 [154]3 years ago

6 0

T =70/r, where T is the number of years needed to double the population (or the capital, or any other thing) at the rate r (r , rate of growth)
T = 710/4.6 = 15.21
T ≈ 15 years

You might be interested in

15. What might explain the concern female students expressed in the beginning of this lesson about the problem of assigning prac

yanalaym [24]

Answer:

Interestingly, the likelihood of a randomly chosen student being a female is 0.58 at this school.

Step-by-step explanation:

This school features more female students than male students. Consequently, if resources are allocated equally (because it has been found that both female and male male students are similarly likely to be involved), the number of female students involved in after-school athletics programs is greater than the number of male students and could clarify the facilities issues.

3 0

3 years ago

A tattoo enthusiast website claims that :

KATRIN_1 [288]

Answer:

The probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

Step-by-step explanation:

We have here a case where we need to use Bayes' Theorem and all conditional probabilities related. Roughly speaking, a conditional probability is a kind of probability where an event determines the occurrence of another event. Mathematically:

$\\ P(A|B) = \frac{P(A \cap B)}{P(B)}$

In the case of the Bayes' Theorem, we have also a conditional probability where one event is the sum of different probabilities.

We have a series of different probabilities that we have to distinguish one from the others:

The probability that a person has a tattoo assuming that is a Millennial is:

$\\ P(T|M) = 0.47$

The probability that a person has a tattoo assuming that is of Generation X is:

$\\ P(T|X) = 0.36$

The probability that a person has a tattoo assuming that is of Boomers is:

$\\ P(T|B) = 0.13$

The probability of being of Millennials is:

$\\ P(M) = 0.22$

The probability of being of Generation X is:

$\\ P(X) = 0.20$

The probability of being of Boomers is:

$\\ P(B) = 0.22$

Therefore, the probability of the event of having a tattoo P(T) is:

$\\ P(T) = P(T|M)*P(M) + P(T|X)*P(X) + P(T|B)*P(B)$

$\\ P(T) = 0.47*0.22 + 0.36*0.20 + 0.13*0.22$

$\\ P(T) = 0.204$

For non-independent events that happen at the same time, we can say that the probability of occurring simultaneously is:

$\\ P(M \cap T) = P(M|T)*P(T)$

$\\ P(T \cap M) = P(T|M)*P(M)$

But

$\\ P(M \cap T) = P(T \cap M)$

Then

$\\ P(M|T)*P(T) = P(T|M)*P(M)$

We are asked for the probability that a person is a Millennial given or assuming that they have tattoos or P(M | T). Solving the previous formula for the latter:

$\\ P(M|T)*P(T) = P(T|M)*P(M)$

$\\ P(M|T) = \frac{P(T|M)*P(M)}{P(T)}$

We have already know that

$\\ P(T|M) = 0.47\;P(M) = 0.22\;and\;P(T) = 0.204$ .

Therefore

$\\ P(M|T) = \frac{0.47*0.22}{0.204}$

$\\ P(M|T) = 0.50686 \approx 0.51$

Thus, the probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

5 0

4 years ago

Last month, he sold 505050 chickens and 303030 ducks for \$550$550dollar sign, 550. This month, he sold 444444 chickens and 3636

Nostrana [21]

Answer: the cost of one chicken is $8

The cost of one duck is $5

Step-by-step explanation:

Let x represent the cost of one chicken.

Let y represent the cost of one duck.

Last month, he sold 50 chickens and 30 ducks for $550. It means that

50x + 30y = 550- - - - - - - - - - - 1

This month, he sold 44 chickens and 36 ducks for $532. It means that

44x + 36y = 532- - - - - - - - - - - 2

Multiplying equation 1 by 44 and equation 2 by 50, it becomes

2200x + 1320y = 24200

2200x + 1800y = 26600

Subtracting, it becomes

- 480y = - 2400

y = - 2400/- 480

y = 5

Substituting y = 5 Intl equation 1, it becomes

50x + 30 × 5 = 550

50x + 150 = 550

50x = 550 - 150

50x = 400

x = 400/50

x = 8

3 0

3 years ago

Read 2 more answers

yuradex [85]

Answer:

B (1 , 3) , D (1 , -2)

Step-by-step explanation:

∵ A (-3 , 3) , C (-3 , -2)

∵ They have the same x-coordinate

∴ AC is a vertical segment its length = 3 - -2 = 5

∵ The area of the rectangle = 20

∴ The width of it = 20 ÷ 5 = 4

∴ x-coordinate of B: -3 + 4 = 1

∴ y-coordinate of B : 3 ⇒ AB horizontal segment

∴ B (1 , 3)

∵ x-coordinate of BD is 1 ⇒ BD is vertical segment

∵ y-coordinate = 3 - 5 = -2

∴ D (1 , -2)

3 0

3 years ago

Read 2 more answers

I need help with this please!

12345 [234]

Answer:

ok. i don't understand this so could u be more specific and tell me what's ur problem

4 0

3 years ago