A simple random sample from an infinite population is a sample selected such that.

The quotient of [tex](x^3 + 6x^2 + 11x + 6) \div (x^2 + 4x + 3)[/tex] is x + 2

The quotient expression is given as:

[tex](x^3 + 6x^2 + 11x + 6) \div (x^2 + 4x + 3)[/tex]

Expand both expressions

[tex](x + 3)(x + 2)(x +1) \div (x + 3)(x +1)[/tex]

Cancel out the common factors

x + 2

Hence, the quotient of [tex](x^3 + 6x^2 + 11x + 6) \div (x^2 + 4x + 3)[/tex] is x + 2

Read more about quotient expressions at:

https://brainly.com/question/8952483

#SPJ4

The common difference of the arithmetic sequence is 15.

The correct option is (a)

An arithmetic sequence (also known as an arithmetic progression) is a sequence of numbers in which the difference between consecutive terms is always the same.

The arithmetic sequence is defined as

x:   1     2    3    4    5

y: 8   23   38  53  68

The common difference of the arithmetic sequence is

[tex]d=\frac{y_2-y_2}{x_2-x_1}[/tex]

Let us take any two points: (1,8) and (2,23)

Then, d = [tex]\frac{23-8}{2-1}[/tex]

          d= 15

Learn more Arithmetic sequence here:

https://brainly.com/question/12964865

#SPJ1

Answer:

the correct graph is attached

Step-by-step explanation:

x ≥ 1 means there is a closed dot at 1

and -x + 8 means there should be an y intercept at 8 with negative slope

so it could've only been the right side graphs than the first function is positive so the top right cant be right meaning the bottom right is the correct graph

Answer:

zero called 1 in this situation

Step-by-step explanation:

its your ans

The interval of systolic blood pressure will be between 155 to 95

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

From the question, we are told that

Mean  x=125

Standard deviation = 10

The Percentage for men =99.75%

Generally, the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean  

Standard deviation n= 10

Mean x= 125

Generally, the interval  of systolic blood pressure for middle 99.7 of male G is mathematically given as

G = Mean ± (3x [tex]\sigma[/tex])

G= 125 ±  (3 x 10)

G= 125 ±  (30)

G = 155 and 95

Hence the interval of systolic blood pressure will be between 155 to 95

To know more about standard deviation follow

https://brainly.com/question/475676

#SPJ1

Answer:

Step-by-step explanation:

Answer:

133.97 cu yds

Step-by-step explanation:

volume is 1/3 x pi x r^2 x h

Car 1: It is an exponential function that is given as P = 18,500 (0.9595)ⁿ and the price after 10 years is $12,235.5.

Car 2: It is a linear function that is given as 2000x + 3y = 55500 and the price after 10 years is $11,833.33.

And Yes, there is a significant difference.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.

Car 1 (value in dollars)

Year 1: 18,500

Year 2: 17,390

Year 3: 16,346.60

Car 2 (value in dollars)

Year 1: 18,500

Year 2: 17,500

Year 3: 16,500

The exponential function describes car 1.

Then the function will be

[tex]\rm P = 18500\times (0.95995)^n[/tex]

The linear function describes car 2.

[tex]\rm y \ - \ 18500 = \dfrac{-2000}{3}(x - 0)\\\\\\3y - 55500 = -2000x\\\\\\2000x +3y = 55500[/tex]

Then the value of the car 1 after 10 years will be

[tex]\rm P = 18500\times (0.95995)^{10}\\\\\\P = \$ \ 12,235.5[/tex]

Then the value of the car 2 after 10 years will be

[tex]\rm 2000 \times 10 +3y = 55500\\\\y = \$ \ 11,833.33[/tex]

Yes, there is a significant difference.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Answer:

(2x + 1) (3x - 4)

Step-by-step explanation:

Solution:

Answer:

please check the question, it is not straight forward

Answer:

5/8

Step-by-step explanation:

There are 8 sections, and 4 sections that are 1, and 1 pink section. So adding these up, we get 5/8.

Hope this helped! :)

Answer:

The length of the wing is 480 centimeters

Step-by-step explanation:

2 cm on the drawing is 192 cm on the acutal wing

2 = 192

divide both sides by 2

1 = 96

since the drawing has a length of five cm, multiply both sides by 5

5 = 480

therefore, 5 cm on the drawing is equal to 480 cm on the actual wing

The number of students that are expected to enroll in the fifth year of the plan is 644.

The formula that can be used to determine the future value of the population is:

FV = P (1 + r)^n

400 x (1.1)^5 = 644

To learn more about future value, please check: https://brainly.com/question/18760477

#SPJ1

Answer:

113

Step-by-step explanation:

26x4=104

1x9=9

104+9=113

Answer:

hope this will help you (•‿•)

Step-by-step explanation:

[tex]for \: 1st \: qn \: \\ let \: the \: angle \: be \gamma \\ \cos( \beta ) = \frac{b}{p} \\ \cos( \beta ) = \frac{16}{34} \\ \beta = \cos {}^{ - 1} ( { 0.470}^{ } ) \\ \beta = 61.965 \\ for \: 2nd \: qn \\ let \: the \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan( \alpha ) = \frac{20}{15} \\ \alpha = \tan {}^{ - 1} (1.33) \\ \alpha = 53.061[/tex]

Answer:

3/2 or 1.5

Step-by-step explanation:

Finding the gradient

Answer:

gradient = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

calculate the gradient (slope) m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 1 ) and (x₂, y₂ ) = (4, 5 )

m = [tex]\frac{5-(-1)}{4-0}[/tex] = [tex]\frac{5+1}{4}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]

Answer:

The number is 2.

Step-by-step explanation:

You can write this as an algebriac equation, where the "number" is x:

8x - 2 = x + 12

Then, solve for x:

8x = x + 14
7x = 14

x = 2

Answer:

Be Nice & Have Manners.

Step-by-step explanation:

Try to be nice and have manners. Being thankful for the clothes you have is always the top priority. Let them browse different kinds of clothes online or in person, and see if there are clothes that you and your parents agree on that you can wear.

Answer:

Exponents are done before addition, subtraction, multiplicaton, and division

Step-by-step explanation:

PEMDAS=

Parenthases

Exponents

Multiply

Divide

Add

Subtract

Step-by-step explanation:

-4+5

=1

therefore the answer is A.

Answer:

D) x=4

Step-by-step explanation:

-x+5=1

-x=1-5

-x=-4

x=4

Answer:

slope =.25

Step-by-step explanation:

I assume this is asking to find the slope?

graph this equation and you'll see that the run is 16 and the rise is 4.

rise/run

4/16 = .25

Another way of expressing the radius is to express it as a decimal given as r  = 19.108 cm

The circle is defined as the locus of the point traces around a fixed point called as the center and is equidistant from the out trace.

Given the expression for the radius of the circle given as

[tex]r=\dfrac{60}{\pi}[/tex]

We can also express the radius as a decimal instead of a fraction.

Given that π = 3.14, Substitute into the expression of the radius to have:

[tex]r=\dfrac{60}{3.14}=1.9.108\ cm[/tex]

Hence another way of expressing the radius is to express it as a decimal given as r  = 19.108 cm

Learn more about Circle here:

brainly.com/question/12908707

#SPJ1

Answer:

Step-by-step explanation:

4 cups = 1 pint

$3.28/4 = .82 per pint

Answer:

well I think it is so because it has to do with affecting the positive sign just think of it using normal circumstances

Step-by-step explanation:

formally, there is only one alternative : if not negative, it would be a positive number.

and that would mean

2× -4/5 = x (= a positive number)

2× -4 = 5x (= still a positive number)

-4 = 5x/2 (= still a positive number)

and -4 is definitely not a positive number.

so, it is proven, 2× -4/5 cannot be a positive number, and therefore has to be a negative number.

Answer:

[tex]Center =(-1,\: -2),\: radius = 3\: units[/tex]

Step-by-step explanation:

__________________________________________________________

Hello! In this question, we are trying to solve the expression with a given value.

__________________________________________________________

Explanation:

In this question, we were given our f(x) equation: f(x) = x² - 3

We were also given the value of our variable "x": -3

To solve the expression, we would plug in our "x" value, -3, into the "x" variables in our expression and solve.

Solve:

f(x) = x² - 3

f(-3) = (-3)² - 3

= 9 - 3

= 6

Therefore, the value of f(-3) is 6.

__________________________________________________________

Answer:

f(-3) = 6

__________________________________________________________

To solve this problem, you will substitute an existing value into a function in order to find the y-coordinate at that x-coordinate.

Given the function f(x) = x² - 3, evaluate the function at f(-3) by substituting in x = -3:

[tex]f(-3) = -3^2-3[/tex]

Use BPEMDAS, which stands for:

Brackets

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

First, evaluate -3².

[tex]-3\times-3=9[/tex]

Then, evaluate the rest of the expression by subtracting 3 from 9:

[tex]9 - 3 = \boxed{6}[/tex]

The final answer is f(-3) = 6.

(a)  P(3, -8), Q(1, -12)

(b)

(i)  x = -1, 4

(ii)  x = 1, 2

(c) Drawn Below, refer to the red line. Equation: x = 1.5

Given Equation's:

Part A

Coordinates of points: P(3, -8), Q(1, -12)

Part B

From the graph identify:

(i) 2x² - 6x - 8 = 0       || Solution: x = -1, 4

(ii) 2x² - 6x = -4          || Solution: x = 1, 2

Part C

Symmetry of a parabola is at the middle, dividing the curve in equal parts.

Equation: x = 1.5

By taking the product between density and volume we will see that the mass is 284.2 kg

Remember that density is the quotient between mass and volume, then:

mass = density*volume.

Here we know that:

Taking the product of these two we get:

mass = (1,592 m³)*(0.1785 kg/m³) = 284.2 kg

So the correct option is the second one.

If you want to learn more about density.

https://brainly.com/question/1354972

#SPJ4

Answer:

284.2 kg my good sir

Step-by-step explanation:

Big brain

Answer:

1×3=3 and 1×8=8 this is the answe right? and if you add these it will come 11

Answer:

3 and 8

Step-by-step explanation:

Answer:

  C.  (5,2)

Step-by-step explanation:

For parent function f(x) with vertex at (0, 0), translating it horizontally by "h" and vertically by "k" makes it look like

  f(x -h) +k

and the vertex moves to (h, k).

__

Here, the parent function |x| has its vertex at (0, 0). Writing it as ...

  -3|x -5| +2

moves its vertex to (h, k) = (5, 2).

_____

Additional comment

The factor -3 serves to reflect the graph over the x-axis and expand it vertically by a factor of 3. It has no effect on the translation of the vertex.