HELP FOR BRAINLEST!!!

Answer:

Approximate population ≈ 74.36 million.  

Step-by-step explanation:

The given problem involves modeling of an exponential growth or decay function of a population.      

We can model the exponential growth of a population using the following Exponential Growth Model:

Where:

Based from the given equation, [tex]\displaystyle\mathsf{y\:=\:58.7(1.03)^t }[/tex] , we can infer that:

⇒   [tex]\displaystyle\mathsf{P(t)\:=\:P_0 (1\:+\:r)^t }[/tex] or  [tex]\displaystyle\mathsf{y\:=\:P_0 (1\:+\:r)^t }[/tex]

Where:

Step 1: Substitute the given values into the Exponential Growth Model formula, and solve for P( t ) :

[tex]\displaystyle\mathsf{P(t)\:=\:P_0 (1\:+\:r)^t }[/tex]

⇒   [tex]\displaystyle\mathsf{P(8)\:=\:58.7 (1\:+\:.03)^8 }[/tex]

Step 2: Follow the order of operations, addition inside the parenthesis:

⇒   [tex]\displaystyle\mathsf{P(8)\:=\:58.7 (1.03)^8 }[/tex]

Step 3: Follow the order of operations, applying the exponent into the parenthesis (do not round off the digits inside the parenthesis):

⇒  [tex]\displaystyle\mathsf{P(8)\:=\:58.7 (1.266770081) }[/tex]  

Step 4: Follow the order of operations, multiplying  58.7 (P₀) into the parenthesis:

⇒  [tex]\displaystyle\mathsf{P(8)\:\approx \:74.35940378\quad or \quad 74.36\:\:million}[/tex]

Therefore, the approximate population of the country in January 2002 is 74.36 million.  

Exponential functions

Exponential growth

Exponential decay

Exponential growth model

____________________________

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Answer:

8π in

Step-by-step explanation:

The Area of a Circle is πr². In this case, we're given the area as 16π, so the radius is 4 because the square root of 16 is 4.

The Circumference of a Circle is 2πr. Since the radius is 4:

Therefore, the circumference is 8π inches.

By taking the quotient between the number of yellow gumballs and the total number of gumballs, we will see that the probability is:

p = 0.17, so the correct option is C.

If we assume that all the gumballs have the same probability of being selected by the machine, then the probability of getting a yellow gumball is given by the quotient between the number of yellow gumballs and the total number of gumballs.

So the probability of getting a yellow one is:

p = 74/446 = 0.17

The correct option is C.

If you want to learn more about probability, you can read:

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Answer:

[tex]\sf x^3+6x^2+12x+8[/tex]

step-by-step explanation:

[tex]\rightarrow \sf \left(x+2\right)^3[/tex]

apply cubic formula:  [tex]\bold{ \left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3}[/tex]

[tex]\rightarrow \sf x^3+3x^2 * \:2+3x * \:2^2+2^3[/tex]

[tex]\rightarrow \sf x^3+6x^2+12x+8[/tex]

12 times in 3 minutes

Lightning flashes every 15 seconds and there’s four 15 seconds in one minute. So in a minute lightning strikes 4 times then you multiply the 4 times 3 minutes and you get 12.

Answer:

Part A = $180

Part B = $104

Step-by-step explanation:

Part A:

You do 255÷5=51

51 x 4 = 180

Part B:

You do 130÷5=26

26 x 4 = 104

Answer:

$180 for the coat, $104 for the boots

Step-by-step explanation:

first: percent = decimal (20 = 0.20)

for the coat:

225-(225x0.20)

225-40 = 180

for the boots:

130- (130x0.20)

130-26 = 104

Answer:

∠ XYZ ≈ 72.9°

Step-by-step explanation:

using the tangent ratio in the right triangle

tan XYZ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{XZ}{XY}[/tex] = [tex]\frac{13}{4}[/tex] , then

∠ XYZ = [tex]tan^{-1}[/tex] ( [tex]\frac{13}{4}[/tex] ) ≈ 72.9° ( to 1 dec. place )

Answer:

ans at lower left

Step-by-step explanation:

scale up every element in the matrix in the question by 2 will get you the ans.

Answer:

  (x, y) = (3, 5)

Step-by-step explanation:

To solve these equations graphically, you plot each one, then identify the coordinates of the point of intersection.

The first equation can be graphed using the y-intercept of -1 and the slope of 2.

The second equation has a y-intercept of 18/3 = 6, and a slope of -1/3. The x-intercept of 18 is off the chart, so the slope and intercept are a good way to plot this line, too.

__

The slope is the "rise" divided by the "run". A slope of 2 means the line goes up 2 units for each unit to the right. A slope of -1/3 means the line goes down 1 unit for each 3 units to the right.

The solution is (x, y) = (3, 5).

Using the z-distribution, as we are working with a proportion, it is found that:

A. The 98% confidence interval  is (-0.082, 0.141), and it means that we are 98% sure that the true difference of the population proportions are in this interval.

B. Since 0 is part of the confidence interval, it does not give convincing evidence of a difference between the population proportions.

For each sample, they are given by:

[tex]p_F = \frac{53}{150} = 0.3533, s_F = \sqrt{\frac{0.3533(0.6467)}{150}} = 0.039[/tex]

[tex]p_M = \frac{89}{275} = 0.3236, s_M = \sqrt{\frac{0.3236(0.6764)}{275}} = 0.0282[/tex]

Hence, for the distribution of differences:

[tex]p = p_F - p_M = 0.3533 - 0.3236 = 0.0297[/tex]

[tex]s = \sqrt{s_F^2 + s_M^2} = \sqrt{0.039^2 + 0.0282^2} = 0.048[/tex]

It is given by:

[tex]p \pm zs[/tex]

98% confidence interval, hence, using a z-distribution calculator, the critical value is of z = 2.327.

Then:

[tex]p - zs = 0.0297 - 2.327(0.048) = -0.082[/tex]

[tex]p + zs = 0.0297 + 2.327(0.048) = 0.141[/tex]

The 98% confidence interval  is (-0.082, 0.141), and it means that we are 98% sure that the true difference of the population proportions are in this interval.

Item b:

Since 0 is part of the confidence interval, it does not give convincing evidence of a difference between the population proportions.

To learn more about the z-distribution, you can check https://brainly.com/question/25890103

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval for the mean strength gain of all students from this school if they joined the program is (7.85, 15.37).

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 9 - 1 = 8 df, is t = 2.306.

The other parameters are given as follows, with the help of a calculator.

[tex]\overline{x} = 11.61, s = 4.89, n = 9[/tex]

Hence:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 11.61 - 2.306\frac{4.89}{\sqrt{9}} = 7.85[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 11.61 + 2.306\frac{4.89}{\sqrt{9}} = 15.37[/tex]

The 95% confidence interval for the mean strength gain of all students from this school if they joined the program is (7.85, 15.37).

More can be learned about the t-distribution at https://brainly.com/question/16162795

Answer:

424 miles

Step-by-step explanation:

53  x 8 = 424 miles

Answer: 15/16

Step-by-step explanation:

5/4 * (3 * 1/4) =

Mutiply 3 * 1/4

5/4 * 3/4 =

Mutiply 5/4 * 3/4

5/4 * 3/4 = 15/16

Answer:

[tex]\frac{15}{16}[/tex]

Step-by-step explanation:

[tex]\frac{5}{4}\cdot \:3\cdot \frac{1}{4}[/tex]

[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:3=\frac{3}{1}[/tex]

[tex]=\frac{5}{4}\cdot \frac{3}{1}\cdot \frac{1}{4}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]=\frac{5\cdot \:3\cdot \:1}{4\cdot \:1\cdot \:4}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:5\cdot \:3\cdot \:1=15[/tex]

[tex]=\frac{15}{4\cdot \:1\cdot \:4}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:1\cdot \:4=16[/tex]

[tex]\frac{15}{16}[/tex]

Hence, 15/16 is the correct Answer.

~Learn with Lenvy~

Answer:

C. p = h + 16

Step-by-step explanation:

Answer:

1/5 kilometers per minute

Step-by-step explanation:

in 25 minutes 5 kilometers are covered

divide both by 25 to get the amount of kilometers per minute

25 / 25 = 1

5 / 25 = 1/5

this means that the rate in which the runner is going is 1/5 kilometers per minute

Answer:

26

Step-by-step explanation:

the answer is 26

Answer:

y = - 2x + 10

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 , then

y = - 2x + c

to find c substitute (4, 2 ) into the equation

2 = - 8 + c ⇒ c = 2 + 8 = 10

y = - 2x + 10 ← equation of line

Answer:

y = - 2x + 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 , then

y = - 2x + c

To find c we must substitute (4, 2 ) into the equation

2 = - 8 + c, c = 2 + 8 = 10

y = - 2x + 10

Answer:

8

Step-by-step explanation:

Given:

To Find:

How many footballs will be needed for 48 players?

Solve:

Since there are 2 balls for every 12 players..

Let's b = balls and P = Players

2b = 12p

4b = 24p

6b = 36p

8b = 48

Hence, we can conclude that there will be 8 footballs needed for 48 players

~Learn with Lenvy~

Answer:

8 balls

Step-by-step explanation:

We can use ratios to solve.

2 balls             x balls

-------------    = -----------------

12 players        48 players

Using cross products

2 * 48 = 12 *x

96 = 12x

Divide each side by 12

96/12 =12x/12

8=x

They needs 8 balls

Some of the factors that can make a reunion unhappy or bittersweet are:

This refers to the situation where two or more people meet each other again after a long time of being apart.

We can note that sometimes, a reunion is happy, other times, it is bittersweet or unhappy as either some good thing or unfortunate event has occurred during the period spent apart from each other.

Please note that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.

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Answer:

See attached image

Step-by-step explanation:

Explained on image

Answer:  4   1/2

Step-by-step explanation:

Adding all the fractions you get 4 1/2

If the two sides of the triangle are equal then these two triangles are similar. The sides EF and GF are congruent to each other. Then the correct option is D.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

In ΔEDF and ΔGDF

DF = DF = radius (common side)

ED = GD = radius

If the two sides of the triangle are equal then these two triangles are similar.

Thus, EF and GF are congruent to each other.

More about the triangle link is given below.

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Answer:

the answer is D

Step-by-step explanation:

EF and GF

Answer:

20

Step-by-step explanation:

x × 150 = 3000

many times does 150 go into 3000 is 20

3000/150=20

20 times does 150 go in 3000

Answer:

You started at (3, 4)

Answer:

S = -90t + 550

Step-by-step explanation:

First we must note a few key things the question tells us:

1. The tickets sell at a constant rate, thus implying a linear relationship.

2. Tickets start selling at 10

3. The independent variable (t) is in hours after 10

4. The number of tickets (S) is declining, thus we should expect a negative gradient.

5. The number of tickets is our dependent variable since it is reliant on time.

y = mx+c is our general linear expression which we will call "Eq 0"

Lets substitute our knowns into this to find m and c. We know that "t" is independent and that "S" is dependent on "t" therefore, we know that our x-axis will be representing values for "t" and that our y-axis will represent values for "S"

We must use simultaneous equations to find m and c

Eq 1: 550 = m(0) + c -> 550 = c

Eq 2: 280 = m(3) + c -> 280 = 3m + c

From Eq 1. we already know that our y intercept is at 550.

To find our gradient, we must substitute our known (550 being the y-intercept) into the next equation.

Thus,

280 = 3m + 550

To isolate our variable (m) we subtract both sides by 550

280 - 550 = 3m + 550 - 550

-270 = 3m

To finally find m, we divide both sides by 3

-270/3 = 3m/3

-90 = m

Now we substitue both our knows into Eq 0, note that our gradient (m) is negative as expected.

y = -90x + 550

Or, in terms of S and t

S = -90t + 550