according to 2015 census data, 42.7 percent of colorado residents were born in colorado. if a sample of 250 colorado residents is selected at random, what is the standard deviation of the number of residents in the sample who were born in colorado?

Under any circumstances, the imaginary number i = √-1. We use i to represent the square root of a negative number because negative numbers cannot have square roots (ex: 2^2 = 4, -2^2 = 4).

So, we have a complex number 2 + i. The absolue value? Simple.

[tex]|2 + i|\\2 + |\sqrt{-1} |\\2 + \sqrt{1} \\2 + 1\\3[/tex]

If you need an explanation, look at it this way. The number cannot exist. Yet let's assume it did exist for a moment. What would be the absolute value of a negative square root if they could exist? Well, it would be the same as the square root of that number's opposite, it's positive counterpart!

So, what is the positive counterpart of -1? That would be 1. What's the square root of 1? 1! So, why don't we eliminate these steps? Instead of assuming √-1 can exist and then finding the absolute value of that, just skip those steps and instead take √1, or just 1.

So finally: |√-1| = 1

Answer:

43

Step-by-step explanation:

4(2)-5(3)+10(5)

8-15+50

-7+50

43

hopes this helps please mark brainliest

Answer:

17/54,x=3 m=5

Step-by-step explanation:

In the special right triangle, x has a value of √3/2

A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist. For example, a right triangle may have angles that form simple relationships, such as 45°–45°–90°. This is called an "angle-based" right triangle.

To find the value of x, we should take into consideration that two of the sides of the triangle are equal to each other.

Using Pythagoras theorem;

[tex](\sqrt{3}) ^2 = x^2 + x^2\\3 = 2x^2\\x^2 = \frac{3}{2} \\x = \sqrt{\frac{3}{2} }[/tex]

The value of x in the triangle is √3/2

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Answer:16.e+6.18

Step-by-step explanation:

Answer:

123.00

Step-by-step explanation:

Answer:

not a monomial

Step-by-step explanation:

monomial

Prefix mono- means 1 so, monomial means one term

This has more than one term so it’s not a monomial

Hopes this helps please mark brainliest

The value of x on the given sides of the rectangles is 4.

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

Given, The area of the shaded region is 39.

As the smaller rectangle is inside the whole larger rectangle,

∴The area of the smaller rectangle subtracted from the area of the whole larger rectangle is the area of the shaded region.

So, (2x - 1)(x + 3) - (x - 2)(x + 1) = 39.

2x² + 6x - x - 3 - x² - x + 2x + 2 = 39.

x² + 6x - 1 = 39.

x² + 6x - 40 = 0.

x² + 10x - 4x - 40 = 0.

x(x + 10) - 4(x + `10) = 0.

(x + 10)(x - 4) = 0.

(x + 10) = 0 Or (x - 4) = 0.

x = - 10 Or x = 4.

Now if we put x = - 10 the lengths will be negative which is inappropriate.

So, the value of x that satisfies is 4.

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Answer: x=-14

Step-by-step explanation:

Answer:

0.2

Step-by-step explanation:

1/5 is equvalent with 10/5=0.2

The equation is, y = x-2

The table showing the values of x and y is:

x    1    2    3    4

y    -1   0    1     2

From the question, we have

y increases by 1 unit with 1 unit increase in x.

The equation is, y = x-2

Subtraction:

Subtraction serves as a representation for the act of removing items from a collection. The negative symbol stands for subtraction. For example, if four of the nine oranges that are stacked together (as in the above illustration) are then transported to a basket, the stack will now contain five oranges rather than nine. Therefore, the difference between 9 and 4 is 5, which equals 9 minus 4. In addition to applying it to natural numbers, subtraction can also be used with other kinds of numbers. The letter "-" represents subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation.

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Answer: 9 quarters, 7 dimes, & 16 nickels

Step-by-step explanation:

We set number of dimes as d:

So, set up the equation to solve:

[tex]0.10d+0.25(d+2)+0.05(2d+2)=3.75\\\\0.10d+0.25d+0.5+0.1d+0.1=3.75\\\\0.45d=3.75-0.5-0.1=3.15\\\\d=7[/tex]

So now that we know there're seven dimes, we can plug them in our initial equations to find the number of quarters and nickels:

As per the Sarah buying pattern, the rate of change from 2015 to 2017 is $250

Rate of change

Rate of change refers the speed at which a variable changes over a specific period of time.

Given,

In 2015, sarah spent $800 buying lunches. In 2017, she spent $550 buying lunches.

Here we need to find the rate of change from 2015 to 2017.

While we looking into the given question, we have identified that,

Buying lunch cost for 2015 = $800

Buying lunch cost for 2017 = $550

Now, the rate of change from 2015 to 2017 is calculated by finding the difference between them,

So, rate of change is,

=> 800 - 550

=> 250

Therefore, the rate of change from 2015 to 2017 is $250

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A polynomial function with real coefficients that has the given zeros -1, 8, 3, -21 is x^4−11x^3−197x^2−297x+504.

In the given question we have to find a polynomial function with real coefficient that has the given zeros -1, 8,3, -21.

The given zeros are -1, 8,3 - 21.

Let the variable is x.

So the factor from the given zeros are

(x-1), (x+8), (x+3), (x-21)

To find the polynomial we multiply the factors to each other.

=(x-1)(x+8)(x+3)(x-21)

We firstly multiply the factor with the pair of two using the distributive property.

={x(x-1)+8(x-1)}{x(x+3)-21(x+3)}

=(x^2-x+8x-8)(x^2+3x-21x+63)

Simplifying

=(x^2+7x-8)(x^2-18x+63)

=x^2(x^2+7x-8)-18x(x^2+7x-8)+63(x^2+7x-8)

=(x^4+7x^3-8x^2)-(18x^3+126x^2-144x)+(63x^2+441x-504)

=x^4+7x^3-8x^2-18x^3-126x^2+144x+63x^2+441x-504

=x^4−11x^3−197x^2−297x+504

Hence, a polynomial function with real coefficients that has the given zeros -1, 8, 3, -21 is x^4−11x^3−197x^2−297x+504.

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Answer:

18%

Step-by-step explanation:

[tex]x = y*\frac{60}{100} =y*0.6=0.6y\\x=0.6y[/tex]

[tex]y = z*\frac{30}{100} =z*0.3=0.3z\\y=0.3z[/tex]

x is what percent of z?

Since x = 0.6y and y = 0.3z:

[tex]\%=\frac{x}{z} *100\\\\\%=\frac{0.6y}{z}*100\\ \\\%=\frac{0.6(0.3z)}{z} *100\\\\\%=\frac{0.18z}{z} *100\\\\\%=0.18*100\\\\\%=18[/tex]

Answer:

Step-by-step explanation:

11 = D. Yes ; -8

12 = A(n) = 12+ (n-1) 11 ;166 milliliters

13 = The first plot graphed is located nearest 50 to resemble the initial charge.

The last plot graphed should be located at the top of the graph vertical to 8 - the maximum hours he'll work.

Therefore, the answer is C.

14 = you have to select x-values and plug them into the equation. Once you plug those values into the equation, you will get a y-value. Your x-values and your y-values make up your coordinates for a single point

Answer:

-7

Step-by-step explanation:

A= 4

B= -2

((4-2) × 4 + (4+2))/-2

14/-2

-7

Answer:

A ) What is the slope of the line? What does this slope in this situation mean?

The equation of the line is y = -200x +3000 so the slope of the line would be -200x.

This means that as x ( Month ) increases, y ( Loan ) decreases.

B ) What is the y-intercept of the line? What does the y-intercept mean in this situation?

As stated above the equation of the line is y = -200x +3000 so the  y-intercept would be +3000.

In this case the y-intercept represents the cost of the loan before Jane's first payment.

C )  How many months will it take Jane to pay off the loan? Show your work.

It will take 15 months to pay off Jane's car loan.

On the graph we can see when x ( month ) equals fifteen, y ( loan ) equals zero. This means that it will take fifteen months for Jane to pay off the loan.

We can check this by putting it into our equation...

y = -200( 15 ) +3000 = 0

Hope this helps! :)

The standard error of the sample proportion bringing their own personal computers to campus is 0.045

The standard error of a sample proportion is calculated as:

[tex]SE=\sqrt{\frac{p(1-p)}{n} }[/tex]

with p=0.4 and n=120:

[tex]SE=\sqrt{\frac{0.4(1-0.4)} {120}}[/tex]

[tex]SE=\sqrt{0.002}[/tex]

[tex]SE=0.045[/tex]

The standard error of the sample proportion of students bringing their own computer is 0.045.

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Answer:

Step-by-step explanation:

answer is:  x=9/2

Answer:

1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

3/8*4/3

The 3 can be cancel out

you can also cancel out 8 and 4

leaving you with 1/2

Answer:

[tex]-2[/tex]

Step-by-step explanation:

The perpendicular slope is the opposite of the reciprocal of the original slope. So, let's find the slope of this line! I will put it in slope-intercept form (y = )

[tex]x-2y=-8\\-2y=-8-x\\y=4+\frac{1}{2} x\\y=\frac{1}{2} x+4[/tex]

Here, I see that the slope of the line is [tex]\frac{1}{2}[/tex]. The reciprocal of [tex]\frac{1}{2}[/tex] is 2. The opposite of 2 is [tex]-2[/tex]. The slope of the perpendicular line is [tex]-2[/tex]!

In the given triangle LMN, measure of side LM = 18in. and measure of angle MLN is 28° then the measure of side LN = 18in. , m ∠M = 76° and

m ∠N = 76°.

As given in the question,

In the given triangle LMN,

Measure of side LM = 18in.

Measure of angle MLN is equal to 28°

It is given that side LM ≅ LN

LM = 18 in.

LN = 18in.

In a triangle  LMN ,

In a triangle opposite sides are congruent to each other then angle opposite to them also congruent to each other.

LM ≅LN

⇒m ∠N = m ∠M

In a ΔLMN,

Let x° be the measure of angle M and N each.

m ∠M + m ∠N + m ∠L = 180°

⇒ x° + x° + 28° = 180°

⇒ 2x° = 180° -28°

⇒2x° = 152°

⇒ x = 76°

Therefore, in the given triangle LMN, measure of side LM = 18in. and measure of angle MLN is 28° then the measure of side LN = 18in. , m ∠M = 76° and m ∠N = 76°.

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Answer:

The percentage of the distance Dominic is on the path is his distance

travelled as a fraction of the total distance when equivalent to 100.

The distance he has travelled on the path is 8.75 miles.

Reasons:

The given parameter are;

Length of Dominic's path = 12.5 miles

The length of the way Dominic is to

Step-by-step explanation:

Answer:

Step-by-step explanation:

f/4 = 3

Second option is correct 0.04772.

The probability of a weight between 420 kilos and the mean of 400

kilos = 0.4772

Mean of a normal probability distribution is μ = 400 kilos

And standard deviation σ = 10 kilos

Let x be the variable in kilos.

X is between 400 kilos and 420 kilos

P( 400 < X < 420 ) = P ( 400 -  μ < X -  μ < 420 -  μ)

= P ( (400-μ)/σ < (X-μ)/σ < (420-μ)/σ )

= P ( (400 - 400) /10 < Z < (420 - 400)/10 )

= P ( 0 < Z < 2 )

= 0.4777 from the table appendix B1.

The link for the appendix table B1 :

www.webassign.net%2Faswsbe13%2Fappendix-b.pdf&usg=AOvVaw3QlkaDTdGZ1Z01YZPYCL6h

The probability of a weight between 420 kilos and the mean of 400

kilos = 0.4772

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Answer:

It approximately dropped 0.027777 per hour.

Step-by-step explanation:

First, we calculate the decrease.

Decrease = 11/40 = 0.275

Then,  we calculate the time interval.

From 10 pm to 7:54 hours will be 9.54 hours

Time interval= (9 + 54/60) hours

Time interval=9.9 hours

Finally, we calculate how much it dropped each hour

0.275/9.9 ≈ 0.027777

So it approximately dropped 0.027777 per hour.

Answer:

7:54 A.M to 10 P.M is = 14 hrs and 6 mins

60 mins = 1 hour

therefore 6 mins = 0.1 hour

14 hrs plus 0.1 hrs = 14.1 hours

if 14.1 hrs = 11/40

1 HR = x

cross multiply

14.1x = 11/40

divide both sides by 14.1

14.1x / 14.1 = 11/40 / 14.1

After using FOIL, the final answer will be

x2 + 3x + 2

What is the FOIL method?
The typical way of multiplying two binomials is known as the FOIL method since FOIL is a shorthand for it. The acronym FOIL stands for the following four terms that describe the item: (Each binomial "initial" term is multiplied together.) The FOIL method is a memory aid for the procedures involved in multiplying two binomials. The result of multiplying the first term, outer term, inner term, and last term is the product of two binomials: (a+b)(c+d)=ac+ad+bc+bd.

Solution explained:

A/Q we have

(x+2)(x-1)

= x * x + x + 2x + 2    (After expanding and applying distributive property)

= x2 + x + 2x + 2

= x2 + 3x + 2

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The linear equation is z = 450 - 30 x, where z is the number of pages Lourdes has left to read after x days

We need to write a linear equation to represent the number of pages

Lourdes has left the number of pages to read after x days

Lourdes reads 30 pages each day

Lourdes will read for x days

The number of pages Lourdes will read in x day = 30 x

The left pages will be the difference between the total pages of the

book and the pages Lourdes read.

After 9 days Lourdes completes 3/5 of the total number of pages.

So the  number of pages Lourdes reads after 9 days = 30×9 = 270 pages.

Let The total number of pages in the book = y

Therefore 3/5 × y = 270.

So y = 270 × (5/3) = 450 pages.

The total number of pages in the book = 450 pages.

Lourdes will read 30 x in x days

The number of pages left = 450 - 30 x

Assume that z represents the number of pages Lourdes has left to read after x days

z = 450 - 30 x

The linear equation is z = 450 - 30 x, where z is the number of pages Lourdes has left to read after x days

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Answer:

?

Step-by-step explanation:

its a litter hard too see can you get it closer??

The values of the variables s and c are 13 and 17, respectively.

We are given a system of two equations. The equations are linear in nature. Each equation represents a straight line. We need to find the solution to the system of linear equations. The coordinates of the intersection point of the straight lines are the solution. The equations are given below.

s + 2c = 47

5s + 8c = 201

We will substitute the value of s from the first equation into the second equation.

s = 47 - 2c

5s + 8c = 201

5(47 - 2c) + 8c = 201

235 - 10c + 8c = 201

235 - 2c = 201

2c = 235 - 201

2c = 34

c = 17

We will substitute the value of c into the first equation to find the value of s.

s = 47 -2c

s = 47 - 2(17)

s = 47 - 34

s = 13

Hence, the values of s and c are 13 and 17, respectively.

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