Chapter 4 population biology, continued. human population growth.


help please!! :)

Answer:

Step-by-step explanation:

100 is 4 times 25

25*4=100

so if we just multiply 26/25 we can find the percent

4*26/25=104/100

104%

(x+3) x (x+2)

Step-by-step explanation:

it should be *(x+3) x (x+2)* because area of rectangle = length x breadth

For the given scenarios, Considering the conditions for the binomial distribution, The answer is YES.

A probability distribution is a mathematical function used in probability theory and statistics that estimates the likelihood that various possible outcomes of an experiment will occur. In terms of its sample space and event probability, it is a mathematical description of a random phenomena.

In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p.

From the given conditions, Yes the conditions are met for the binomial distribution.

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The height of the telephone pole, rounded to the nearest foot, is approximately 40 feet.

The telephone pole is approximately 40 feet tall. To solve this problem, you correctly set up a proportion using the heights and shadows of the man and the telephone pole. Here's a step-by-step explanation:

1. Convert the man's shadow length to inches: 4 feet 6 inches = (4 x 12) + 6 = 48 + 6 = 54 inches.

2. Convert the telephone pole's shadow length to inches: 30 feet = 30 x 12 = 360 inches.

3. Set up the proportion using the heights and shadows: 6 feet / 54 inches = x feet / 360 inches. Here, x represents the height of the telephone pole.

4. Cross-multiply and solve for x: 6 feet * 360 inches = 54 inches * x feet. This simplifies to 2160 = 54x.

5. Divide both sides of the equation by 54: x = 2160 / 54 = 40 feet.

Therefore, the height of the telephone pole, rounded to the nearest foot, is approximately 40 feet.

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Answer:

Me, it is called Picsart

I used to have it but the question got deleted

The critical points of the function are (0, 0) and (3/4, -9/4), To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point

To find the critical points of the function f(x, y) = 8x^3 + y^2 + 6xy, we need to find the values of (x, y) where the partial derivatives with respect to x and y are equal to zero.

Taking the partial derivative with respect to x, we have:

∂f/∂x = 24x^2 + 6y = 0.

Taking the partial derivative with respect to y, we have:

∂f/∂y = 2y + 6x = 0.

Solving these two equations simultaneously, we get:

24x^2 + 6y = 0,

2y + 6x = 0.

From the second equation, we can solve for y in terms of x:

Y = -3x.

Substituting this into the first equation:

24x^2 + 6(-3x) = 0,

24x^2 – 18x = 0,

6x(4x – 3) = 0.

Therefore, we have two possibilities for x:

1. x = 0,

2. 4x – 3 = 0, which gives x = ¾.

Substituting these values back into y = -3x, we get the corresponding y-values:

1. x = 0 ⇒ y = 0,

2. x = ¾ ⇒ y = -9/4.

Hence, the critical points of the function are (0, 0) and (3/4, -9/4).

To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point. However, since the original function does not provide any information about the second partial derivatives, further analysis is required to classify the critical points.

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9514 1404 393

Answer:

  (81/43, -31/43) ≈ (1.884, -0.7209)

Step-by-step explanation:

The orthocenter is the intersection point of the altitudes of the triangle. Since this is not a right triangle, you need to find the equations of the altitude lines, then find where those intersect.

If we call the points A, B, C in the order given, the attached figure shows the altitude lines from B perpendicular to AC, and from C perpendicular to AB.

We can find the equation of the perpendicular line using the form ...

  ∆x·x +∆y·y = c

where ∆x and ∆y are the differences in coordinates between the points on the "side" and the value of constant 'c' is determined by evaluating the expression using x and y as the coordinates of the opposite vertex.

__

For line AC, we have ...

  (∆x, ∆y) = C - A = (2, -1) -(-3, 0.5) = (2+3, -1-0.5) = (5, -1.5)

Then the equation of the first altitude line is ...

  5x -1.5y = 6(3) -1.5(3) = 10.5

Multiplying by 2 puts this in standard form:

  10x -3y = 21

__

For line AB, we have ...

  (∆x, ∆y) = B - A = (3, 3) -(-3, 0.5) = (3+3, 3-0.5) = (6, 2.5)

Then the equation of the second altitude line is ...

  6x +2.5y = 6(2) +2.5(-1) = 9.5

Multiplying by 2 puts this in standard form:

  12x +5y = 19

__

Then the orthocenter is the solution to the system of equations ...

  10x -3y -21 = 0

  12x +5y -19 = 0

This set of equations can be solved a number of ways. One is the "cross-multiplication" method.

  1/(10·5 -12·(-3)) = x/(-3·(-19) -5·(-21)) = y/(-21(12) -(-19)(10))

  x = 162/86 = 81/43

  y = -62/86 = -31/43

The orthocenter is (81/43, -31/43) ≈ (1.884, -0.7209).

_____

Additional comment

The "cross multiply method" is based on cross products when the equations  are written in standard form:

  ax +by +c = 0

  dx +ey +g = 0

Usually, the coefficients are written in two rows of four, with the first column repeated at the end:

  a  b  c  a

  d  e  g  d

Then cross products are formed, where diagonal down is positive and diagonal up is subtracted from that:

  p1 = (ae -db), p2 = (bg -ec), p3 = (cd -ga)

These give the solution to the equations when put in the form ...

  1/p1 = x/p2 = y/p3   ⇒   x = p2/p1   and   y = p3/p1

If you look at videos of this "cross multiply method," they will put the 1/p1 at the end of the string of equalities, and they will use the coefficients in the order starting with b instead of a. I find the arrangement here easier to remember, so less likely to get confused.

Further comment

You can, of course, find the slopes of the lines, and their opposite reciprocals, then use a point-slope form or some other method for writing the equations of the altitude lines. The solution to the equations can proceed by substitution or elimination. No doubt these methods are somewhat familiar. The method used here tries to get to the answer much more quickly with a lot less writing. (Unfortunately, it takes a bit of writing to explain it all.)

Answer:

7

Step-by-step explanation:

42/6=7

Answer:

d. $343.33

Step-by-step explanation:

We use the equation

A = P(1 + r)^t

P = $1287

r = 6% = 0.06

t = 4 years

Let's solve

A = 1287( 1 + 0.06)^4

A = 1287(1.06)^4

A = $1630.33

$1630.33 - $1287 = $343.33

So, the answer is D

Q1) The term logistics involves the process of planning, executing, and controlling the storage and movement of goods. Logistics includes activities such as warehousing, transportation, and distribution to meet customer requirements.

Q2) Outsourcing is a business practice of contracting out certain business activities or processes to external parties or individuals instead of conducting them in-house.

Logistics deals with the physical flow of goods from the point of origin to the point of consumption.In contrast, Supply Chain Management (SCM) encompasses all activities associated with the production and delivery of goods.

SCM is concerned with the management of all business activities that are related to procuring, transforming, and delivering products or services from suppliers to customers. SCM includes activities such as procurement, manufacturing, transportation, inventory management, and warehousing.

Q2) Outsourcing enables businesses to focus on their core competencies while external parties perform non-core activities.A logistics company, for example, might outsource its payroll and accounting functions to an external company, while another company outsources its warehousing, transportation, or distribution functions to a third-party logistics provider (3PL).

An example of outsourcing in logistics could be a company that outsources its transportation to a third-party logistics provider to transport goods from one location to another.

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Answer:

can you show the options

Step-by-step explanation:

Answer:

5:8

5 to 8

five to eight

yw hope it helps

The required ratio to show the relationship of dimes to quarters expresses as 5:8.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other. The general form of expressing a ratio between two quantities say 'a' and 'b' is a: b

There are 8 quarters, 4 nickels, and 5 dimes.

In order to calculate the ratio of two quantities, we can use the following steps

First, we have to find the quantities of both scenarios for which we are determining the ratio. In this case, it is 5 dimes and 8 quarters.

Write it in the fraction form a/b. So, we write it as 5/8.

Therefore, the required ratio to show the relationship of dimes to quarters expresses as 5:8.

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Answer:

1) x= -2

2) x= 3

3) x=7

4) x>5

5) x=-14

Step-by-step explanation:

1) −3x − 3 −7x = 17

−10x−3=17

−10x=17+3

−10x=20

x= -20/10

x=-2

2) 10x − 6 = 24

10x=24+6

10x=30

x= 30/10

x= 3

3) −4−5x=−39

−5x=−39+4

−5x=−35

x=-35/-5

x= 7

4) 3x - 5 > 10

3x>10+5

3x>15

x>​15/3

x>5

5)  -5 + x + 16 = -3

x+11=−3

x=−3−11

x=-14

​​

It takes approximately 1.2 minutes to move the cans to the storage area when both conveyor belts are used.

We can begin the problem by using the formula:

work = rate x time

Let's denote the rate of the first belt as R1 and the rate of the second belt as R2. Then, we can write:

R1 = 200 pounds / 2 minutes = 100 pounds per minute

R2 = 200 pounds / 3 minutes ≈ 66.67 pounds per minute

When both belts are used, they work together to move the same 200 pounds of cans. Therefore, we can add their rates to get the total rate:

R = R1 + R2 = 100 + 66.67 = 166.67 pounds per minute

To find the time it takes to move the cans to the storage area, we can rearrange the formula:

time = work / rate

The total work is 200 pounds, so we have:

time = 200 pounds / 166.67 pounds per minute ≈ 1.2 minutes

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Answer:

5/6-1/9=45/54-6/54=39/54.

Step-by-step explanation:

hey!

To make fractions have a common denominator, multiply both the numerator and denominator by the same number. For example, 5/6=45/54 because I multiplied 5 and 6 both by 9, and 1/9= 6/54 because I multiplied 1 and 9 by 6. This is the same for all fractions.

Hope this helped :)

Answer:

13/18

Reasoning:

First. We have to find the GCD

Second. Multiply both fractions with the number that creates the GCD

5/6 x 3/3 - 1/9 x 2/2 = 15/18 - 2/18

Third. Subtract 15/18 - 2/18 = 13/18

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The percentage is used to denote the fraction of a quantity present.

The number of athletics students are 4. The correct answer is option A.

The percentage is defined as the portion of quantity present.

It is converted into fraction by dividing it by 100.

The percentage of students in athletics are 48%.

Total number of students in the class is 25.

The number of students in athletics is given as,

N = 48% of 25

=> N = 48 / 100 × 25

=> N = 48 / 4

=> N = 12.

Hence the number of athletics students in Mrs. Cano's class is 12.

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Although it is true that only the x-axis is affected, that is, on the horizontal, when multiplying by a number less than 1, there would not be a stretch but a narrowing.

That is, the horizontal part would be smaller, which contradicts what Richard says.

Answer:

36 Degrees

Step-by-step explanation:

First the entire angle of BAC is 71 degrees, so all you have to do is subtract the known angle (2) by the entire angle. 71-35= 36. So that means the measure of angle 1 is 36 degrees.

Given:

A scale model of a building having the dimensions of 3 inches in length and 4 inches in width.

Here, 1 inch = 40 feet.

To find the actual dimensions of the base of the building:

Since 1 inch = 40 feet,

So we have,

Thus, the length of the base of the building is 120 feet and the width of the base of the building is 160 feet.

Answer:

$76

Step-by-step explanation:

100 - 24 = 76 simple math

Answer:

$76

Step-by-step explanation:

Totsakan wants to buy a microscope for $24.

He gives the cashier $100. What is his

change?

100 - 24 = $76

Hope this helps!

To construct a confidence interval for the population variance σ² and the population standard deviation σ, we use the chi-square distribution.

In this case, we have a sample of 12 computer software engineers with a sample standard deviation of $3720. We want to calculate a 99% confidence interval for the population variance σ².

To construct the confidence interval for the population variance σ², we use the chi-square distribution with n-1 degrees of freedom, where n is the sample size. Since we have a sample size of 12, we will use the chi-square distribution with 11 degrees of freedom.

First, we need to find the chi-square values corresponding to the lower and upper critical values for a 99% confidence level. The lower critical value is obtained from the chi-square distribution table or a calculator using a significance level of 0.01 and 11 degrees of freedom. The upper critical value is obtained using a significance level of 0.99 and 11 degrees of freedom.

Next, we calculate the confidence interval for the population variance σ² using the formula (n-1) * (s²) / χ², where n-1 is the degrees of freedom, s² is the sample variance, and χ² is the chi-square critical value.

Interpreting the results, we can say with 99% confidence that the true population variance σ² lies within the calculated confidence interval. The confidence interval provides a range of plausible values for the population variance based on the sample data.

The confidence interval for the population variance σ² is reported as a range, rounded to the nearest integer, and can be used for further statistical analysis or decision-making regarding the variability of the population.

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Answer:

-2

Step-by-step explanation:

the rate of change or slope (M) is -2

Hope this helps:P

Answer:

12 stamps

Step-by-step explanation:

6 divided by 0.50 = 12

Answer: it’s 12

Step-by-step explanation: all I did was multiplied 6 by .50

Hope this helps!

Answer:

I do believe that the lighthouse is 160 feet tall.

Step-by-step explanation:

I do believe this is the right answer. Hope this helps you!

The required height of the lighthouse is given as 160 ft tall.

Given that,
A scale model of a lighthouse has a scale of 1 in. : 8 ft. The scale model is 20 inches tall.

The scale factor is defined as the ratio of the modified change in length to the original length.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

here,
scale factor = 1 / 8 in per ft
Now,
The actual length of the lighthouse =  20 / [1 / 8]
                                                             = 20 × 8 = 160 ft

Thus, the required height of the lighthouse is given as 160 ft tall.

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The angle of a body segment with respect to a fixed line of reference is known as a "relative angle."

The angle of a body segment with respect to a fixed line of reference is known as a reference angle. This angle is measured between the segment and the reference line, and is used to determine the position and orientation of the segment relative to other parts of the body or external objects. The segment itself refers to a specific part of the body, such as an arm, leg, or torso, that is bounded by two or more joints or points of attachment. By measuring the reference angle of a segment, it is possible to quantify the degree of movement or displacement of that segment, and to track changes in its position over time.
In this context, the angle represents the measurement of the difference in orientation between the body segment and the reference line, while the segment refers to a specific part of the body, such as an arm or leg. The reference line serves as a fixed point for comparison, allowing you to determine the position or orientation of the body segment in relation to it.

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Answer:

\(h(7) - 3 = \: 5 {(7)}^{2} + 11 - 3 \\ = 5(49) + 8\)

answer: the answer is 253

Answer:

part a: root2

part b: 4root11

Answer:

a) \(\sqrt{2}\)

b) \(4\sqrt{11}\)

Step-by-step explanation:

a) \(6\sqrt{2} - 5\sqrt{2}\)

Taking √2 common ,

\(=> \sqrt{2} (6-5)\)

\(=> \sqrt{2}\)

b) \(\sqrt{11} +3\sqrt{11}\)

Taking √11 common ,

\(=> \sqrt{11} (1 +3)\)

\(=> 4\sqrt{11}\)

The solution to this system of linear equations is  (7, 3).

What is equation?

In mathematics, an equation is a formula that expresses the equivalency of two expressions, by connecting them with the equals sign =

Main body:

x - 3y = -2

x = 3y - 2 ….. (1)

x + 3y = 16 …… (2)

Let us solve the system of linear equations using the substitution method.

Substituting x in equation (2)

3y - 2 + 3y = 16

6y = 16 + 2

6y = 18

Divide both sides by 6

y = 3

Substituting the value of y in equation (1)

x = 3 (3) - 2

x = 9 - 2

x = 7

Therefore, the solution is (7, 3).

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Answer:40%

Step-by-step explanation: