In 2000, the population of a town was 46,020. By 2002 the population had increased to 52,070. Assuming that the towns population is increasing linearly answer the following questions.

- What is the population of the town by 2006?

- What year will the towns population reach 75,000?​

Answers

Answer 1

Answer: To answer these and related questions, we can create a model using a linear function. ... When modeling scenarios with linear functions and solving problems ... A town's population has been growing linearly. ... Assume this trend continues. ... Identify the year in which the population will reach 15,000.

Step-by-step explanation: Done :P


Related Questions

ORDENAR DE MAYOR A MENOR
a) -1, 3, 0, 2, -4 : b) 1, -10, 7, -9, -2 : c) 6, -3, 2, -1, -12 : d) 0, 8, -4, 2, -2
porfa

Answers

Answer:

a) 3, 2, 0, -1

b) 7, 1, -9, -10

c) 6, 2, -1, -3, -12

d) 8, 2, 0, -2, -4

will give brainliest

Answers

First step make the denominator 9 same as 45

Answer:

respuesta 0.2

Step-by-step explanation:

espero que te sirvan ( ꈍᴗꈍ)

A person places a bet on the coin toss at the start of the Super Bowl. If the coin comes up HEADS you WIN $100. If the coin comes up TAILS you LOSE $110. What is the person's expected value of making this bet

Answers

Answer:

- 5

Step-by-step explanation:

Probability of a coin toss : (H, T)

With probability of 0.5 each

X : ____100 ____ - 110

P(x) :___ 0.5 ____ 0.5

Expected value ; E(X) = ΣX*p(X)

E(X) = (100 * 0.5) + (-110 * 0.5)

E(X) = 50 - 55

E(X) = - 5

Expected value = - 5


[tex]2 {a}^{2} - 3ab + {b}^{2} from3 {a}^{2} + 2ab - {b}^{2} [/tex]

Answers

Answer:

a (a - b)

Step-by-step explanation:

[tex]2a^{2}-3ab+b^{2} from 3a^{2} + 2ab - b^{2}[/tex]

Now, as [tex]2a^{2}-3ab+b^{2}[/tex] is from [tex]3a^{2} + 2ab - b^{2}[/tex]

so it will be subtracted :

[tex]3a^{2} + 2ab - b^{2}[/tex] [tex]-2a^{2}-3ab+b^{2}[/tex]

= [tex]a^{2} - ab[/tex]

= a (a - b)

can someone help me with this

Answers

Answer:

x=112b+13

Step-by-step explanation:

idek

18 packs of socks fit into a box.

There are 7 boxes.

How many packs of socks are there in total?

Answers

Answer:

no. of packs in one box = 18

no. of boxes = 7

total no. of packs of socks = 18*7

=126

Answer:

126 packs

Step-by-step explanation:

1 box = 18 packs

7 boxes = ? packs

7 * 18 = 126 packs

The five number summary of a dataset was found to be:
1, 5, 11, 17, 20

An observation is considered an outlier if it is below:


An observation is considered an outlier if it is above:

Answers

Answer:

Below - 13

Above 35

Step-by-step explanation:

Given the 5 number summary :

1, 5, 11, 17, 20

Minimum = 1

Q1 = 5

Q2 = 11

Q3 = 17

Maximum = 20

Lower Outlier = Q1 - 1.5*IQR

Upper Outlier = Q3 + 1.5*IQR

IQR = Q3 - Q1 = 17 - 5 = 12

LOWER = 5 - (1.5 * 12) = 5 - 18 = - 13

UPPER = 17 + (1.5 * 12) = 17 + 18= 35

State if each sequence is geometric. -5, -21, -37, -53, .... a) yes B) no

Answers

Answer:

yes, you just add more -16 between each number

Airlines must be careful about the total weight of baggage carried by a plane on a commercial flight. Passengers with items exceeding the maximum single-item weight (usually about 70 pounds) must pay a fee (usually about $50.00 per item). Airlines continually monitor the proportion of overweight items in order to evaluate the appropriateness of the overweight fees. English Air charges different amounts for overweight items on flights to the U.S. and Canada than it does on flights within Europe. Recently, a random sample of 256 items checked on English Air flights to the U.S. and Canada contained 37 overweight items, and an independent, random sample of 246 items checked on English Air flights within Europe contained 41 overweight items.

Based on these samples, can we conclude, at the 0.05 level of significance, that there is a difference between the proportion of all items on English Air flights to the U.S. and Canada which are overweight (p1) and the proportion of all items on English Air flights within Europe which are overweight (p2)?

Answers

Answer:

The p-value of the test is 0.4966 > 0.05, which means that we cannot conclude, at the 0.05 level of significance, that there is a difference.

Step-by-step explanation:

Before solving this question, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

To US and Canada:

37 overweight out of 256. So

[tex]p_1 = \frac{37}{256} = 0.1445, s_1 = \sqrt{\frac{0.1445*0.8555}{256}} = 0.022[/tex]

Europe:

41 overweight out of 246. So

[tex]p_2 = \frac{41}{246} = 0.1667, s_2 = \sqrt{\frac{0.1667*0.8333}{246}} = 0.0238[/tex]

Test if there is a difference between the proportion of all items on English Air flights to the U.S. and Canada which are overweight (p1) and the proportion of all items on English Air flights within Europe which are overweight (p2):

At the null hypothesis, we test if there is no difference, that is, if the subtraction of the proportions is 0.

[tex]H_0: p_1 - p_2 = 0[/tex]

At the alternate hypothesis, we test if there is difference, that is, if the subtraction of the null hypothesis is different of 0.

[tex]H_1: p_1 - p_2 \neq 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

From the two samples:

[tex]X = p_1 - p_2 = 0.1445 - 0.1667 = -0.0222[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.022^2 + 0.0238^2} = 0.0324[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{-0.0222 - 0}{0.0324}[/tex]

[tex]z = -0.68[/tex]

P-value of the test:

The p-value of the test is the probability of the sample proportion differing from 0 by at least 0.0222, which is P(|z| > 0.68), which is 2 multiplied by the p-value of z = -0.68.

Looking at the z-table, z = -0.68 has a p-value of 0.2483

0.2483*2 = 0.4966

The p-value of the test is 0.4966 > 0.05, which means that we cannot conclude, at the 0.05 level of significance, that there is a difference.

Which theorem can be used to show that AJKL - AMNP?

Answers

Answer:

C. ASA Similarity

Step-by-step explanation:

Using the Angle-Side-Angle Similarity Theorem is the only thing we can do because looking above we see that we know two angles and one side. Hence, this can be the only theorem that is fit for these two triangles.

Solve the missing elements for each problem. Use 3.14 for π. Area π r² ; C = π D​

Answers

Answer and Solution

1. Radius = 32/2 = 16 inches

Diameter = 32 inches

Circumference = 3.14 × 32 = 100.48 inches

Area = 3.14 × 256 = 803.84 inches

2. Radius :- 40 / 2 = 20 inches

Diameter = 40 inches

Circumference = 3.14 × 40 = 125.6 inches

Area = 3.14 × 20 × 20 = 1256 inches

3. Radius = 28 / 2 = 14 inches

Diameter = 28 inches

Circumference = 3.14 × 28 = 87.92 inches

Area = 3.14 × 14 × 14 = 615.44 inches

4. Radius = 18/2 = 9 inches

Diameter = 18 inches

Circumference = 3.14 × 18 = 56.52 inches

Area = 3.14 × 9 × 9 = 254.34 inches

5. Radius = 5 inches

Diameter = 5 × 2 = 10 inches

Circumference = 3.14 × 10 = 31.4 inches

Area = 3.14 × 5 × 5 = 78.5 inches

6. Radius = 2 inches

Diameter = 2 × 2 = 4 inches

Circumference = 3.14 × 4 = 12.56 inches

Area = 3.14 × 2 × 2 = 12.56 inches

–––––––––☆–––––––––

Answer: Solve the missing elements for each problem. Use 3.14 for π. Area π r² ; C = π D​

Step-by-step explanation:

1. Radius = 32/2 = 16 inches

Diameter = 32 inches

Circumference = 3.14 × 32 = 100.48 inches

Area = 3.14 × 256 = 803.84 inches

2. Radius :- 40 / 2 = 20 inches

Diameter = 40 inches

Circumference = 3.14 × 40 = 125.6 inches

Area = 3.14 × 20 × 20 = 1256 inches

3. Radius = 28 / 2 = 14 inches

Diameter = 28 inches

Circumference = 3.14 × 28 = 87.92 inches

Area = 3.14 × 14 × 14 = 615.44 inches

4. Radius = 18/2 = 9 inches

Diameter = 18 inches

Circumference = 3.14 × 18 = 56.52 inches

Area = 3.14 × 9 × 9 = 254.34 inches

5. Radius = 5 inches

Diameter = 5 × 2 = 10 inches

Circumference = 3.14 × 10 = 31.4 inches

Area = 3.14 × 5 × 5 = 78.5 inches

6. Radius = 2 inches

Diameter = 2 × 2 = 4 inches

Circumference = 3.14 × 4 = 12.56 inches

Area = 3.14 × 2 × 2 = 12.56 inches

–––––––––☆–––––––––

Find the volume of the following rectangular pyramid.
10 cm
7 cm
4 cm

Answers

Answer:

option third : 93.33 cubic. cm

Step-by-step explanation:

Volume of rectangular prism :-

Given :- length = 7cm, width = 4cm, height = 10cm

[tex]v = \frac{l \times w \times h}{3} \\ = \frac{280}{3} \\ = 93.333[/tex]

Solve the equation and find the number. The sum of five and three times a number is 83

Answers

9514 1404 393

Answer:

  26

Step-by-step explanation:

If the number is represented by n, then 3 times the number is 3n. The sum of that and 5 is 83:

  5 + 3n = 83

  3n = 78 . . . . . . subtract 5

  n = 26 . . . . . . . divide by 3

The number is 26.

The value of the correlation coefficient is always in the range
a. 0 to 1 b. 1 to 1 c. 1 to 0

Answers

Answer:

-1 to 1

Step-by-step explanation:

The correlation Coefficient gives the degree of relationship between two variables while also giving an hint about the type of relationship between them, (positive or negative). Correlation Coefficient could take any value bwuqwen - 1 and 1. With values closer to - 1 or 1 indicating a strong relationship between the variables, Coefficient of 0 means no relationship and a negative value means negative relationship while a positive value plies a positive relationship.

x/2 = 3 1/3 can you give me A step by step explanation

Answers

x/2 = 3 1/3

So first thing we are going to turn the mixed fraction into an improper fraction because it’s easier to work with.

x/2 = 10/3

No we are going to make x the subject. To do this we are going to transpose by just multiplying each side by 2 (it’s basically doing the opposite of what is happening on the x side).

x/2 * 2 = 10/3 * 2

The 2 * 2 on the x side is cancelled out.

x = 10/3 * 2

Now we multiply to find x.

x = 10/3 * 2
x = 20/3

Now turn it back to a mixed fraction.

x = 6 2/3


Feel free to ask questions where your not sure about.

There are 4 red marbles and 8 blue marbles in a bag. Mark draws a blue marble out of the bag and does not replace. then jake draws another blue marble out of the bag.
Now what are the probabilities of drawing another blue marble?
NEED ANSWER ASAP PLS!!!

Answers

Answer:

Probability will be 4 by 6

Which of the following expressions has the greatest value?

Answers

Answer:

2^5

Step-by-step explanation:

1^10 = 1 (1*1*1*1*1....)

5^2 = 25 (5*5)

2^5 = 32 (2*2*2*2*2)

3^3 = 27 (3*3*3)

what shap can you make with these

Answers

Answer:

c

Step-by-step explanation:

the three sides flip up and you get the shape of three triangles faced up on a triangle, as in c

hey can i get help here? im just a middle schooler and my school just jumped into this with no explanation. so far highschoolers helped me understand it more than any teacher could. so in those terms, thank you so much!​

Answers

Answer:

the closest answer is the last option, so I would say that is the correct one.

Step-by-step explanation:

4.5 x 4.5 x π =

20.25 x π =

63.6172....

Cameron earned a grade of 73% on his multiple choice math final that had a total of 200 problems. How many problems on the final exam did Cameron get wrong?

Answers

Answer:

54

Step-by-step explanation:

Calculation to determine How many problems on the final exam did Cameron get wrong

Wrong Numbers of problems=Total number of problems-(Percentage of grade earned*Total Number of problems)

Let plug in the formula

Wrong Numbers of problems=200-(73%*200)

Wrong Numbers of problems=200-146

Wrong Numbers of problems=54 problems

Therefore the problems on the final exam that Cameron get wrong is 54

Answer:

54

Step-by-step explanation:

ok

The graph shows two lines, A and B.

A coordinate plane is shown. Two lines are graphed. Line A has equation y equals negative 3 x plus 15. Line B has equation one half x plus 2.

Based on the graph, which statement is correct about the solution to the system of equations for lines A and B?

1. (4, 4) is the solution to line A but not to line B.
2. (4, 4) is the solution to both lines A and B.
3. (5, 1) is the solution to line B but not to line A.
4. (0, 2) is the solution to both lines A and B.

Answers

Answer:

statement 1 is the only correct one

Step-by-step explanation:

Plz help me this is urgent!!


What is the area of the triangle below?
O 27 square units
O 45 square units
O 54 square units
O 90 square units

Answers

Your answer should be 27 square units

Answer: 54

Step-by-step explanation:

Anders throws a 10-faced dice with numbers from 1 to 10. Then he spins a coin.
b) Find the probability of scoring: i) a head and a multiple of 3 ii) a tail and a prime number

Answers

Answer:

3/20

1/5

Step-by-step explanation:

Sample space :

10 - faced die :

(1, 2, 3, 4,5, 6, 7,8, 9, 10)

Coin = (H, T)

P(H) = 1/2

Multiple of 3 = 3, 6, 9 = 3

P(Multiple of 3) = 3 / 10

P(H and multiple of 3) = 1/2 * 3/10 = 3 /20

2.)

P(tail) = 1/2

Prime numbers = (2, 3, 5, 7) = 4

P(A prime number) = 4 / 10

P(tail and prime number) = 1/2 * 4 /10 = 4 /20 = 1/5

Help pretty please !Describe the sequence of transformations that maps Figure A to Figure B.

Answers

Answer:

A, Reflection across the y-axis and translation 3 units down

Answer:

A reflection across the y-axis and translation 3 units down

Step-by-step explanation:

A cellphone tower casts a shadow 30 feet
long at the same time that a man 6 feet tall
cast a shadow of 2.4 feet. How tall is the
cellphone tower?

Answers

Answer:

75ft

Step-by-step explanation:

if the shadow of a 6ft = 2.4ft

then the shadow of x=(30/2.4)×6=75

4x + 3y =18
x-3y = 7​

Answers

X=5 and y= -2/3
That would be the answer in this situation

Answer:

x=8,y=-2/3

Step-by-step explanation:

make x the subject of formula

x=7+3y

substitute into the first equation

4(7+3y)+3y=18

28+12y+3y=18

28+15y=18

15y=18-28

15y=-10

y=-10/15=-2/3

since y=-2/3, substitute y into x=7+3y

x=7+3(-2/3)

x=7-2

x=5

What makes a rectangle special?

Answers

Answer:

D

hope this helps

have a good day :)

Step-by-step explanation:

please help I don't know how to do​

Answers

Answer:

9y+7=2y+98

5y=91

y=91\5

Micah buys 2 apples, what is the probability that one of the apples is bad​

Answers

Answer:

1/2

Step-by-step explanation:

in one try, Micah will either pick 1 good apple or 1 bad apple, so the probability would be 1/2.


Joey's sock drawer is unorganized and contains 7 black dress socks, 3 black ankle socks, 2 brown dress socks, and 4 brown ankle socks. What is the
probability that Joey will blindly reach into his sock drawer and pull out a sock that is brown or a dress sock

Answers

Answer:

%37.5

Step-by-step explanation:

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