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3 years ago

Need Help, PLS Explain How to do it Thanks

Mathematics

1 answer:

brilliants [131]3 years ago

6 0

_______________________________

Hey!!

Solution,

Radius(r)=1

Area of circle=?

Now,

Area of circle= pi (r)^2

 = 3.14* (1)^2

 =3.14* 1

 =3.14 units^2

So the right answer is 3.14 units^2.

Hope it helps....

Good luck on your assignment

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The doubling period of a bacterial population is 20 20 minutes. At time t = 100 t=100 minutes, the bacterial population was 9000

Nuetrik [128]

Answer:

The initial population was 2810

The bacterial population after 5 hours will be 92335548

Step-by-step explanation:

The bacterial population growth formula is:

$P = P_0 \times e^{rt}$

where P is the population after time t, $P_0$ is the starting population, i.e. when t = 0, r is the rate of growth in % and t is time in hours

Data: The doubling period of a bacterial population is 20 minutes (1/3 hour). Replacing this information in the formula we get:

$2 P_0 = P_0 \times e^{r 1/3}$

$2 = e^{r \; 1/3}$

$ln 2 = r \; 1/3$

$ln 2 \times 3 = r$

$2.08 \% = r$

Data: At time t = 100 minutes (5/3 hours), the bacterial population was 90000. Replacing this information in the formula we get:

$90000 = P_0 \times e^{2.08 \; 5/3}$

$\frac{9000}{e^{2.08 \; 5/3}} = P_0$

$2810 = P_0$

Data: the initial population got above and t = 5 hours. Replacing this information in the formula we get:

$P = 2810 \times e^{2.08 \; 5}$

$P = 92335548$

3 0

3 years ago

Consider the statement, "Confidence intervals are underutilized" and explain what the implications might be of using or not usin

nataly862011 [7]

Answer:

Step-by-step explanation:

Confidence intervals have been underutilized prior to this time.

The implications of not using confidence intervals include:

- The under-representation or over-representation of research results that amounts from the use of a single figure to represent a statistic.

- In Market Research analysis, neglecting the use of confidence intervals will increase the risk of your portfolio.

Implications/Importance of using confidence intervals include:

- Calculation of confidence interval gives additional information about the likely values of the statistic you are estimating.

- In the presentation and comprehension of results, confidence intervals give more accuracy from the data or metrics captured.

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3 years ago

Emily, Carl and Antony altogether has 121 stamps. How many stamps doeas each of them have, if it is known, that Emily has 40% mo

Leviafan [203]

Answer:

Step-by-step explanation:

1. First, put together the information we have. Total = 121. Emily has 40% more than Carl, and Carl has 60% more than Antony.

2. Next, set each person as a variable. Antony = x. Carl = 1.6x. Emily = 1.4 times 1.6x.

3. Next, form an equation using these variables.

x + 1.6x + (1.4 x 1.6x) = 121

x + 1.6x + 2.24x = 121

4.84x = 121

x = 25

4. Finally, plug in x to our previous variables in step #2 to find the number of stamps Emily and Carl have.

Antony: x = 25 stamps

Carl: 1.6x = 40 stamps

Emily: 1.4 times 1.6x = 56 stamps

By the way, is this for RSM? If so, I am working on that problem right now and I searched up the solution but couldn't find it, so I stumbled upon this. I hope this helped!

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Salsk061 [2.6K]

Important notes:

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since, the question wants to find the length of BC. In the end we will have 3 sides and 1 angle and use cosine rule

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a² = b² + c² - 2bc Cos A° (to find the length)

Cos A° = b² + c² - a² / 2bc ( to find the angle, if there is given three sides and have to find the angle)

So just substitute,

a² = 13² + 15² - 2(13)(15) Cos 95°

a = 20.6 or 21

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The answer is independent

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