The population of a city decreases by 1.2% per year. If this year's population is
242,000, what will next year's population be, to the nearest individual?

Answer:

30.9 square cm

Step-by-step explanation:

subtract area of circle from area of square

Area of square = 12² or 144  

(each side is twice the radius)

Area of circle = 6²π or 113.1

Answer:

3x + 4y = 17

Step-by-step explanation:

Espero y te haiga ayudado :)

Step-by-step explanation:

Well if you dont understand something ask a teacher for help or study on a topic that you struggle with for example math try looking up different math questions and solving them or ask a teacher is you can have pratice questions or problems then show it to him/her so they can check to see if you are right. Hope that help unless you dont understand a certain question that I might have missed.

Answer:

The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

In a random sample of 500 employees, 15 reported owning an electric car.

This means that [tex]n = 500, \pi = \frac{15}{500} = 0.03[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 - 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0104[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 + 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0496[/tex]

The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).

You can find the standard mean error and then use that to find the confidence interval limits.

The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by

Lower limit = 0.0104

Upper limit = 0.0496

The confidence interval is (0.0104, 0.0496) (can include those end points too)

Let the sample size be n

Let the interested quantities in the sample be present x times

Let the confidence level be of p%.

Then the level of significance is given by [tex]\alpha = 1 - p/100[/tex]

The standard mean error is calculated by:

[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}[/tex]

Then the confidence interval limits can be found by

[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)[/tex]

We have n = 500, x = 15 and [tex]\alpha = 1 - 0.99 = 0.01[/tex]

Finding the standard mean error:

[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}\\\\SME = \sqrt{\dfrac{15 \times 485}{500^3}} \approx 0.00763[/tex]

From the z tables, at [tex]\alpha/2 = 0.01/2 = 0.005[/tex], we get z = 2.5758

Thus, the confidence interval is obtained by

[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)\\\\CI = \dfrac{15}{500} \pm 2.575 \times 0.00763\\\\CI = 0.03 \pm 0.0196[/tex]

Lower limit = 0.0104

Upper limit = 0.0496

Thus,

The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by

Lower limit = 0.0104

Upper limit = 0.0496

The confidence interval is (0.0104, 0.0496) (can include those end points too)

Learn more about confidence interval here:

https://brainly.com/question/16427118

Answer:

Exterior angle = 45° each

Step-by-step explanation:

Given:

Number of side n = 8

Find:

Exterior angle

Computation:

Exterior angle =360° / n.

Exterior angle =360° / 8

Exterior angle = 45° each

Answer:

12(m +1) > 18m - 3

12m + 12 > 18m - 3

12+3 > 18m - 12m

15 > 6 m.

m < 15/6

m < 2.5

4th option is correct.

Answer:

{m| m < 2.5}

Step-by-step explanation:

m < 2 1/2,m < 2.5 , m ∑ [-∞, 5/2]

hope that helped!

Answer:

Number = 857674.35

Step-by-step explanation:

Translating the word problem into a numerical format;

Eight hundred and fifty two thousand = 852,000

Six hundred and seventy four = 674

Thirty five hundredths = 35/100 = 0.35

Now, we would add all of the values together.

Number = 852,000 + 674 + 0.35

Number = 857674.35

Answer: 4 dollars for each notebook

Step-by-step explanation:

21-9= 12

12/3=4

each notebooks costs 4 dollars

Answer:

$4

Step-by-step explanation:

Answer:

first you multiply both sides by k. that makes kU equals x

Answer:

I hope this helped you :)

Answer:

By the transversal theorem, if segments on a transversal cut by parallel lines are equal, then similar segments cut by the same parallel lines on another transversal are also equal.

Therefore

JK=KL=LM=5

=>

JM=3*5=15

Step-by-step explanation:

Answer:

y = x + 11

Step-by-step explanation:

The table is showing 4 x and y values. With the question of which equation gives the rule of the table.

To solve, all we have to do is plug in x with the correspondant equation, same goes with y.

y = x + 11 will be the only one that fits mainly because all the other ones gives a higher result.

Answer:

y = x + 11

Step-by-step explanation:

y + 11 = 11

1 + 11 = 12

2 + 11 = 13

3+ 11 = 14

4+ 11 = 15

y is the first row, 1,2,3,and 4

11 is 11 (lol)

x is the answer

your answer is y=x+11

Answer:

The growth rate for the period was of 17.86%.

Step-by-step explanation:

To find the growth rate as a percent, we multiply the change by 100, and divide by the initial value.

A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000.

Change: 132 - 112 = 20

Initial value: 112

Growth rate as a percent:

20*100/112 = 17.86%

The growth rate for the period was of 17.86%.

Answer:b

Step-by-step explanation:

Answer:

12kg

Step-by-step explanation:

because 2×2×2+4=12

jskgx

Answer:

9 containers

Step-by-step explanation:

$4.20 for 4 containers

Form that we can find the cost per container, the unit cost.

$4.20 / 4 containers = $1.05/container

Each container costs $1.05

Now we find the number of containers we can buy with $9.45 by dividing $9.45 by the unit cost.

$9.45/($1.05/container) = 9 containers

Answer: 9 containers

Step-by-step explanation:

Four containers of pudding cost $4.20.

4x = 4.20

x = 1.05

Using this we know that one container of pudding costs $1.05.

Then, divide the maximum amount that you have by the cost of one.

9.45/1.05 = 9

With $9.45, you can buy nine cups of pudding.

In the case that you can buy the four containers in bulk (4 at a time)...

You can only buy 8 containers of pudding (two) because $4.20 only fits into $9.45 twice.

Answer:

1/3(9x+12)+4x+6=x

We move all terms to the left:

1/3(9x+12)+4x+6-(x)=0

Domain of the equation: 3(9x+12)!=0

x∈R

We add all the numbers together, and all the variables

3x+1/3(9x+12)+6=0

We multiply all the terms by the denominator

3x*3(9x+12)+6*3(9x+12)+1=0

Wy multiply elements

9x^2(9+18x(9+1=0

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

a is false since x could be 0.

b is easy to check, just plug numbers in, and we can see that it's false(you would get 0+0=1 and -0-0=-1 once plugged in)

c is also easy to check, just plot the line or simplify the first equation. since (2x+2y)/2=4/2 is also x+y=2, the second equation is also x+y=2, so it must have infinitely many solutions.

d must be true due to process of elimination but let's check to make sure.

7y=14x, divide both sides by 7 to get y=2x and since they're the same equation it must mean that they have infinitly many solutions and we can see that it is correct

Answer:

0.9744 probability that AT LEAST ONE of them has been vaccinated

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have been vaccinated, or they have not. The probability of a person having been vaccinated is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

60% of the people have been vaccinated.

This means that [tex]p = 0.6[/tex]

If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

This is

[tex]P(X \geq 1)[/tex] when [tex]n = 4[/tex].

We have that

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.6)^{0}.(0.4)^{4} = 0.0256[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0256 = 0.9744[/tex]

0.9744 probability that AT LEAST ONE of them has been vaccinated

Answer:

y and x equal

[tex] \sqrt{5 } [/tex]

Answer:

165.00 dollars

Step-by-step explanation:

Answer:

42.537 m

Step-by-step explanation:

Let x = height of tower

tan 28 = x/80

x = 80 tan 28

x = 42.537 m

Answer:

W=2001.24 newton meters

Caution: check units and arithmetic - I often make errors.

Step-by-step explanation:

Work is force times distance.

Denote height by h where h=0 is at ground level.

Denote the mass of the bucket and rope at height h by m(h).

The rate at which the bucket loses mass with height is (20-16)/10=0.4 kg/m

The rate at which the rope between the bucket and the top of the building loses mass is 0.4 kg/m

The initial mass of the bucket and rope is

[tex]m_{0}=20+0.4+0.4(10)=24.4[/tex]

The mass at height h is

[tex]m(h)=24.4-0.8h[/tex]

The force required at height h is

m(h)g

where g is the gravitational acceleration.

g=9.81 meters/sec/sec

The work required is

[tex]\int\limits^b_a {m(h)g} \, dh[/tex]

Where a=0 and b=10

[tex]g\int\limits^b_a {(24.4-0.8h)} \, dh=g(24.4h-0.4h^2)\left \{ {{10} \atop {0}} \right.[/tex]

g(244-40)=204g

W=2001.24 newton meters

Answer:the answer is 182.7

Step-by-step explanation:brainliest please Sans Undertale out

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Answer:   b

Step-by-step explanation:

x= 5+√35 and 5-√35

Answer:

[tex]y = x - 4[/tex]

Step-by-step explanation:

Given

[tex]2y - 2x = -8[/tex] -- correct expression

Required

Represent as slope intercept form

[tex]2y - 2x = -8[/tex]

Make 2y the subject

[tex]2y = 2x - 8[/tex]

Divide through by 2

[tex]\frac{2y}{2} = \frac{2x}{2} - \frac{8}{2}[/tex]

[tex]y = x - 4[/tex]

Answer:

c.

Step-by-step explanation:

Answer:

y=8

Step-by-step explanation:

formula of a line equation

y=MX+c

m=Y2-Y1÷X2-X1

m=5-5÷-6-8

m=0÷-14

m=0

using (8,5)

8=0(5)+c

8=c

Answer: 3.25 = 13/4

Step-by-step explanation:

I got 13/4

A mixed number is an addition of its whole and fractional parts.

3 + 1/4

add 3 and 1/4

To write

3

as a fraction with a common denominator, multiply by 4/4

3 x 4/4 + 1/4

Combine 3 and 4/4

3x4/4+ 1/4

Combine the numerators over the common denominator.

3x4+1/4

Simplify the numerator.

Multiply 3 by 4

12+1/4

Add 12 and 1

And your final answer is

13/4

Answer:

Distance between two points = √37

Step-by-step explanation:

Given:

(-2,-1)

(-3,5)

Find:

Distance between two points

Computation:

Distance = √(x1 -x2)² + (y1 - y2)²

Distance between two points = √(-2+3)² + (-1 - 5)²

Distance between two points = √ 1 + 36

Distance between two points = √37

B 56

Step-by-step explanation: