Over the last 50 years the population has doubled. Today the world population is 7 billion people. What is the average rate of change of the worlds population?

Answer:

Step-by-step explanation:

1. Multiply 9 times 4t in parentheses

2. Once you get the answer you add it to 3t and that gives you 39t

Is this question any helpful enough for?

Answer: -26/27

Step-by-step explanation:

g is the centroid of triangle abc, the value of x is 2/3.

The length of segment DG is (2/3) * (length of AB) ,The length of segment AG is (1/3) * (length of AB),The length of segment AD is (1/3) * (length of AB).

The centroid of a triangle is the point at which the three medians of the triangle intersect each other. In other words, it is the point of intersection of the three lines which each divide the opposite side of the triangle into two equal parts.

Let us consider a triangle ABC with vertices A (a1, b1), B (a2, b2), and C (a3, b3). The x coordinate of the centroid G (x, y) is given by:

x = (a1 + a2 + a3) / 3

The y coordinate of the centroid G (x, y) is given similarly as x

In your question, the x coordinate of the centroid G is given as x = 2/3. This means that the x coordinate of G is 2/3 of the way between A and B.

Therefore, the length of segment DG is (2/3) * (length of AB).

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For given that L has been defined to refer to a list , the expression whose value is a set containing all the elements of L is

set = { 1,2,3,4}

Lists are used to store multiple items in one variable. Lists are one of Python's four built-in data types used to store collections of data, the other three being tuples, sets and dictionaries, all of different qualities and uses.

A list is a container which holds comma-separated values (items or elements) between square brackets where items or elements need not all have the same type.

#Programme representation

Input:

#Python code

#A list L is initialised

L = [ 3,4,2,1 ]

#set L containing all elements of list L

print(str(set(L)))

Output:

{ 1, 2, 3, 4 }

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Check the picture below.

Answer: 20 80

Step-by-step explanation:

So two 2-digit numbers

There is insufficient evidence that more than 15% of all such bottles are contaminated.

So, we do not reject the null hypothesis.

Part A

Here, we have to use z test for population proportion.

The null and alternative hypothesis for this test is given as below:

Null hypothesis: H0: p = 0.15

Alternative hypothesis: Ha: p > 0.15

The test statistic formula is given as below:

Z = (P – p) / √(pq/n)

Where, P = sample proportion, p = population proportion, q = 1 – p, n = sample size

For the given data we have

Alpha = 0.05

Number of items of interest = x = 16

Sample size = n = 91

Sample proportion = 16/91 = 0.175824

Standard error = √(pq/n) = √(0.15*0.85/91) = 0.0374

Z = (0.175824 – 0.15) / 0.0374

Z = 0.6899

P-value = 0.2451

P-value >α

So, we do not reject the null hypothesis

There is insufficient evidence that more than 15% of all such bottles are contaminated.

Part b

Here, z test is appropriate.

Because two conditions are satisfied as below:

np = 91*0.15 = 13.65 > 5

nq = 91*0.85 = 77.35 > 5

Hence we get the required answer.

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Answer:

$102.70

Step-by-step explanation:

since x is weeks to find 6 weeks we replace x with 6

y=5.45(6)+70

y=32.7+70

y=102.7

hopes this helps please mark brainliest

Answer:

If you don't have equations where you can eliminate a variable by addition or subtraction you directly you can begin by multiplying one or both of the equations with a constant to obtain an equivalent linear system where you can eliminate one of the variables by addition or subtraction.

Adding or subtracting two equations in order to eliminate a common variable is called the elimination method. Once one variable is eliminated, it becomes much easier to solve for the other one. Multiplication and division can be used to set up matching terms in equations before they are combined.

Step-by-step explanation:

I hope this helps! :) If it does could you please mark me brainliest?

The correlation between Exam 1 scores and Exam 2 scores is r = .6

The standard mistake of the relapse is the typical distance that the noticed qualities tumble from the relapse line. For this situation, the noticed qualities fall a normal of 4.89 units from the relapse line. Variance is a proportion of how information focuses varies from the mean. As indicated by Layman, a difference is a proportion of how far a bunch of information (numbers) is fanned out from their mean (normal) esteem. Fluctuation means to track down the normal distinction of deviation from real worth. Hence, the correlation between Exam 1 scores and Exam 2 scores is r = .6

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The total amount that the businessman has to pay the bank after two years is P10260

From the question, we have the following parameters that can be used in our computation:

Principal, P = P9000

Rate, r =7%

Time = 2 years

The amount to pay back is calculated using the following amount equation

A = P + PRT

Substitute the known values in the above equation, so, we have the following representation

A = 9000 + 9000 * 7% * 2

Evaluate the sum of products

A = 10260

Hence, the amount to pay back at the bank is P10260

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The value of X is 22.

Value is regard that something is held to deserve,  the important worth or usefullness of something.

The calculation is as follows:

In the case of an isosceles trapezoid if there is any lower base angle is supplementary to any upper base angle.

So,  

6x + 2x + 4 = 180

8x + 4 = 180

8x = 176

x = 22

Therefore we can conclude that The value of X is 22.

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Answer:

Slope is 3, y-intercept is -6

Step-by-step explanation:

y=3x-6

The equation of a line is y=mx+b, so in this case,

m = 3

b = -6

The amount of piles of fake vomit that the manufacturing line can produce at medium speed is of:

2 piles.

A proportion is a fraction of a total amount, and this fraction is used along with the basic arithmetic operations, especially multiplication and division, to find the equivalent measures in the context of a problem.

The amount that can be produced at high speed is of:

4 piles of vomit.

(as stated in the text).

At medium speed, the amount is 50% of the amount of 4 piles of vomit produced at high speed, hence 4 is multiplied by 0.5 to give the amount, as follows:

0.5 x 4 = 2 piles of vomit.

(as the decimal equivalent of the percentage of 50% is of 0.5).

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12 divided by 1/3 is 1

9 divided by 1/4 is 2.25

1/8 divided by 4 is 0.5

12 divided by 1/3 is 4

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

At an elementary level the division of two natural numbers is, among other possible interpretations, the process of calculating the number of times one number is contained within another. This number of times need not be an integer.

given that

3 divided by 1/3

3× 1/3 = 1

9 divided by 1/4

9 × 1/4 = 2.25

1/8 divided by 4

4 × 1/8 = 0.5

12 divided by 1/3

12 × 1/3 = 4

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Therefore, the option (B)  f(x) = [tex]x^{} +x^{3} +x^{5}[/tex] is an example of odd function in the mcq

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). Functions are essential for building physical relationships in both math and science.

Here,

We can see ,

For (A), the function f(x)=f(x)f(x) is an even function.

For (B), f(x)=f(x), where f(x) is an unusual function.

For (C), f(x) is a function that is neither odd nor even.

For (D), f(x) is a function that is neither odd nor even.

Therefore, the option (B) is an example of odd function in the mcq

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The value of h is 70/17 if they are similar triangles and two sides are given in the figure.

Three edges and three vertices make up a triangle, which is a polygon.

In Euclidean geometry, any three points that are not collinear identify a distinct triangle and a distinct plane at the same time (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and that triangle is contained in just one plane. All triangles are enclosed in a single plane if all of geometry is the Euclidean plane, however in higher-dimensional Euclidean spaces, this is no longer the case. Except as specifically stated, this article is about triangles in the Euclidean plane and general Euclidean geometry.

Given,

The figure has two similar triangles.

Here in the question the two sides are given,

We have the condition,

1/AB  +1/PC=1/MN

From the figure,

(1/7)+(1/10)=(1/h)

17/70=1/h

h=70/17

Therefore, the value of h is 70/17 if they are similar triangles and two sides are given in the figure.

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The probability that all the marbles are red is 0.0156 and The probability that none of the marbles are red is 0.2109.

Given ,

bag contains 8 red marbles

7 - white marbles

8 - blue marbles.

a.The probability that every marble is red is

8/23 * 7/22 * 6/21

= 0.0156.

b.The likelihood that no red marbles are present is

15/23 * 14/22 * 13/21

= 0.2109.

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Answer:

[tex] \frac{17}{36} [/tex]

Step-by-step explanation:

- 1 and 3/4 can be made into an improper fraction, 7/4

- 7/4 = 3x + 1/3, where x is equal to the amount of liters in each cup, 7/4 represents the total amount of lemonade in both the pitcher and cups, and 1/3 represents the amount of lemonade left over.

- Solve for x:

7/4 - 1/3 = 3x

21/12 - 4/12 = 3x

17/12 = 3x

x = 17/36

Answer:In step 1 the equation should be 1/4r=8

Step-by-step explanation:

1/4r+2=10

  -2        -2

1/4r=8

r=32

The error was instead of subtracting 2 from each side Yusuf added 2 to the ten. The correct way would be.

1/4r + 2 = 10

      - 2   -  2

1/4r = 8

÷1/4   ÷1/4

r = 32

the population of the country in 2003 is, 368.3 million.

What is exponential?

The exponential is an example of a mathematical function that is useful in determining if something is increasing or decreasing exponentially is the exponential function. As implied by its name, an exponential function uses exponents. But take note that an exponential function does not have a variable as its exponent and a constant as its base (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

The population's description is provided by the exponential model a = 368.3e0.002t.

"a" denotes a nation's population in millions,

following 2003 by t years.

We must ascertain the country's population in 2003.

At 2003, t = 0.

In the exponential model above, enter t = 0.

a = 368.3e^0.002(0) (0)

a = 368.3e^0

a = 368.3

Hence, the population of the country in 2003 is, 368.3 million.

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The value of x is 15. The measurement of m∠M = 20°

What is an equilateral triangle?

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60° and congruent with the others.

The length each side of △ABC is 9 units.

Thus it is an equilateral triangle. The measurement of each angle is 60°.

Given that,  ∠ABC = 4x°.

Therefore, 4x° = 60°

Divide both sides by 4:

x = 15

43)

Given that, △LMN and △QRS are congruent triangle.

∠MNL = ∠QRS = 90°.

∠MLN = ∠QSR = 70°

and ∠NML = ∠RQS = x° (say)

The sum of all three angles of a triangle is 180°.

∠MNL + ∠MLN + ∠NML = 180°

90° + 70° + x° = 180°

Add like terms:

160° + x° =180°

Subtract 160° from both sides:

x° = 20°

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P-value >= 0.05 and adequate evidence supporting the organization's opinion at the a=0.05 significance level prevent the null hypothesis from being rejected.

A common statistical theory called the null hypothesis asserts that there is no statistical relationship or significance between two sets of observed data and measured events for a given single observed variable.

The alternative and null hypotheses are listed below. μ = 61

61 Alternative Hypothesis

Rejection Area

For = 0.05, this test has two tails.

Z has a critical value between -1.96 and 1.96.

Reject H0 thus if z -1.96 or z > 1.96

The test statistic is z = (xbar - mu)/(sigma/sqrt(n)) z = (61.5 - 61)/(2.5/sqrt(95)) z = 1.95.

P-value P-value for the method is 0.0512.

Failure to reject the null hypothesis because P-value >= 0.05.

Approach to the Rejection Zone

Failure to reject the null hypothesis because the test statistic z is within the crucial value range.

P-value >= 0.05 and adequate evidence supporting the organization's opinion at the a=0.05 significance level prevent the null hypothesis from being rejected.

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45 people used credit card on that particular day , this could be found out using simplified multiplication.

What is proportion?

A quantitative relation is an ordered try of numbers a and b, written a / b wherever b doesn't equal zero.

A proportion is an equation within which 2 ratios ar set up to one another.

Main body:

We have been given that during one particular sales day, 75% of the store's customers paid with credit cards. There were 60 customers that day.

To find the number of people, who used credit card, we will find 75% of 60.

The number of people who used credit card = (75 / 100 )* 60

The number of people who used credit card = 0.75 *60

The number of people who used credit card = 45

Therefore, 45 people used credit card on that particular day.

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The graph of the piece-wise function in this problem is given by the image shown at the end of the answer.

A piece-wise function is a function that has different definitions, based on the input values (values of x) of the function.

The function in this problem has three definitions, given as follows:

The behavior for each definition is given as follows:

Then, considering these three definitions, the graph of the function is presented at the end of the answer.

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There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

The solution for the inequality -5n < -15 is n < 3.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

-5n < -15

Divide both sides by -5.

n < -15/-5

n < 3

This means,

n is greater than 3.

We can represent this on a number line.

<-------__-1__0__1__2__3__4__5__6__7------>

                                          o------------------->

Thus,

The solution for the inequality -5n < -15 is n < 3.

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The market equilibrium of the demand and the supply functions is

x = 88.69 bushels and p = $2.67

From the question, we have the following parameters that can be used in our computation:

Supply Function: p = 1.41 + 0.00016x2

Demand Function: p = (2.343 − 0.008x)2

These equations can be properly expressed

So, we have the following representation

Supply Function: p = 1.41 + 0.00016x²

Demand Function: p = (2.343 − 0.008x)²

Next, we plot the graph of the system of equations

In this case, the point of intersection of the equations represent the solution to the system

This is so because the market equilibrium is the point of intersection of the graphs for x > 0.

From the graph, the lines and curves intersect at the point (88.685, 2.668)

Approximate

(88.69, 2.67)

This means that the market equilibrium is (88.69, 2.67)

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Step-by-step explanation:

Very simple… first convert everything to the same denominator…

1/8 + 2/8 + 3/8… Add the numerators together, and you get 6/8.

Simplify 6/8 to its lowest form… and your answer is ⅙ !

The effect on donations, of having a dog compared to not calculated separately for male and female pedestrians is a simple effects analysis on these given data. So the option A is correct.

There are two degrees of gender representation when comparing women and men. Each independent variable in an experiment comparing the effects of a drug to a control group receiving no treatment can have two or more levels.

Street beggars and panhandlers collectively carry a lot of stigma. This study is based on an ethnographic street survey of local panhandlers who are homeless. These frequent exchanges between certain street people and certain.

A simple effect analysis is "The difference in donations between having a dog and not, measured individually for male and female pedestrians."

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