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The proportion of couples who had children within the first 2 years of marriage and are divorced within 5 years is [tex]0.4\pm 0.057[/tex].

The confidence interval (CI) is a range of values that, with a particular level of confidence, is likely to include a population value.

A population mean that sits between an upper and lower interval is frequently stated as a percentage.

Given, Out of 200 couples who have children with 2 years, 80 couples had been divorced within 5 years.

Therefore the proportion of couples who have had children and divorce

= (80/200).

= 0.4.

We know the confidence interval for a population proportion is,

[tex]p = p' \pm z_{\frac{\alpha}{2}} \sqrt{\frac{p'(1 - p')}{n}[/tex].

Now, [tex]z_{\frac{\alpha}{2}[/tex] at 90% confidence interval is 1.645 and n = 200.

Therefore, [tex]p = 0.4\pm 1.645} \sqrt{\frac{0.4'(1 - 0.4)}{200}[/tex].

[tex]p = 0.4\pm 1.645} \sqrt{\frac{0.4\times0.6}{200}[/tex].

[tex]p = 0.4\pm 1.645\times0.0346[/tex].

[tex]p = 0.4\pm 0.057[/tex].

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i don't know girl i'm so sorry

The number of terms that the expression 5xy 9yz 3zx 5x 4y has is 5 terms.

An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.

To determine the number of terms in an algebraic expression, we only have to count the spaces (addition and/or subtraction symbols) and add the unit, in this way we will have the number of terms.

5xy 9yz 3zx 5x 4y has 4 spaces

4 + 1 = 5 terms.

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Each side is 1.55 miles in the fence.

What is fence?

A structure meant to delineate a boundary or prevent escape or intrusion. Particularly: a boundary line or immaterial barrier made of posts, wire, or boards.

Given:

Alex is building a fence in the shape of an equal sided hexagon the total amount of fence available to him is 15 kilometers.

Since, Hexagon has six sides and each side is equal.

So there is 2.5 kilometer to fence each side.

Now to convert kilometer into miles.

Since

1 kilometer = 0.621371 miles

So,

2.5 kilometers = 1.55343 miles

Hence, each side is 1.55 miles in the fence.

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The unique set of 3 prime numbers for which the sum of the numbers is 44 are {2, 5, 37}, {2, 11, 31}, {2, 13, 29} and {2, 19, 23}.

Prime numbers are the numbers in the set of natural numbers for which 1 and the number itself are the only factors of it.

The numbers which are not prime are called composite numbers.

We have to find the set of 3 prime numbers which on adding yields 44.

Now 44 is a composite number and also an even number.

We also know that adding two odd numbers as well as adding two even numbers always gives the even number.

2 is the only even prime number.

So if we take this set which is not including 2, then by adding odd + odd + odd gives the odd number.

But the answer we needed is 44, which is even.

So this set always contain 2 as one of the prime number.

So by adding the other two prime numbers, we must get 42.

Thus we got,

{2, 5, 37}  = 2 + 5 + 37 = 44

{2, 11, 31} = 2 + 11 + 31 = 44

{2, 13, 29} = 2 + 13 + 29 = 44

{2, 19, 23} = 2 + 19 + 23 = 44

Hence the unique 3 set of prime numbers are  {2, 5, 37}, {2, 11, 31}, {2, 13, 29} and {2, 19, 23} for which the sum is 44.

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The value of x is 7.2.

The Perimeter of quadrilateral TWNB is 70.

what is perimeter?

A perimeter is a closed path that encloses, surrounds, or delimits a one-dimensional length, a two-dimensional shape, or both. The circumference of a circle or an ellipse is its perimeter. There are numerous practical uses for calculating the perimeter.

Given:  TWNB ≅ RDHY

NW = 3x,

RD = 5x - 19.6

RY = 2x + 5.6

HD = 5x - 14.4

TW = 3x - 5.2

BN = x + 4.8

We have to find the value of x

As, TWNB ≅ RDHY

⇒ TW ≅ RD,  WN ≅ DH,  NB ≅ HY,  TB ≅ RY

Consider, TW ≅ RD

  3x - 5.2 = 5x - 19.6

19.6 - 5.2 = 5x - 3x

       14.4 = 2x

           x = 7.2

Hence, the value of x is 7.2.

Now to find the perimeter of quadrilateral TWNB.

Perimeter of TWNB = TW + WN + NB + TB

Here,

TW = 3x - 5.2 = 16.4

WN = 3x = 21.6

NB = x + 4.8 = 12

TB = RY = 2x + 5.6 = 20

Hence,

Perimeter of TWNB = 16.4 + 21.6 + 12 + 20 = 70.

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f(x) g(x) = L = 0, where L is some finite number. This definition implies that if f grows faster than g, then f will eventually be much larger than g. Similarly, if f grows slower than g, then f will eventually be much smaller than g.

Now, According to the question:

f(x) g(x) = L = 0, where L is some finite number. This definition implies that if f grows faster than g, then f will eventually be much larger than g. Similarly, if f grows slower than g, then f will eventually be much smaller than g.

Steps on How to Compare the Rates of Change of Two Functions Using Limits

Step 1: Given the functions f(x) and g(x), compute the limit limx→∞f(x)/g(x).

Step 2: If the limit in Step 1 is a finite constant a≠0, then the growth rate of f(x) is a times the growth rate of g(x) at sufficiently large x. If the limit in Step 1 is ∞, then the growth rate of f(x) is greater than the growth rate of g(x). If the limit in Step 1 is 0, then the growth rate of g(x) is greater than the growth rate of f(x).

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Therefore  ,the probability that in a given year exactly two mountain lions will be seen in this wilderness area is P =0.2417.

Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%. When an event has a probability of 0, it has no possibility of happening, whereas when it has a probability of 1, it is almost certain to happen. When an event has a probability of 0.45 (45%), there are 45 out of 100 chances that it will occur.

Here,

λ=1.2

=> P(X =x) = [tex]\frac{e^{-\lambda} * \lambda^{x} }{x!}[/tex]

=> P(X=2) = [tex]\frac{e^{-1.4} * 1.4^{2} }{2!}[/tex]

=> P(X=2) = 0.2466 * 1.96 /2

=>P(X=2) = 0.2417

Therefore  ,the probability that in a given year exactly two mountain lions will be seen in this wilderness area is P =0.2417.

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In linguistics, dynamic semantics is a theory of meaning that is based on the idea that the meaning of a sentence is determined by the way it is used in context, rather than by its compositionality. Within dynamic semantics, there are a few different approaches that have been developed. Three types of dynamic semantics are Discourse representation theory, situation semantics and event semantics.

Discourse representation theory: This theory proposes that the meaning of a sentence is determined by its role in the context of a discourse (i.e., a conversation or written text). The meaning of a sentence is represented as a set of constraints on the possible interpretations of the discourse, and the interpretation of the discourse is determined by the way these constraints are resolved.

Situation semantics: This theory proposes that the meaning of a sentence is determined by the way it refers to a particular situation or state of affairs. The meaning of a sentence is represented as a set of conditions that must be satisfied for the sentence to be true in a particular situation.

Event semantics: This theory proposes that the meaning of a sentence is determined by the events or actions it describes. The meaning of a sentence is represented as a set of conditions that must be satisfied for the events or actions described in the sentence to occur.

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Answer:

4×side

Step-by-step explanation:

i hope this helps

Answer:

(y, x )

Step-by-step explanation:

under a reflection in the line y = x

a point (x, y ) → (y, x )

If you're not motivated, it would take you approximately nine months; however, if you are and can dedicate an hour or two every day to studying, it would only take you about six months.

6 Unknown Methods for Quickly Mastering Algebra

You may probably self-study Math rather simply as if you were in college with all the free materials available online, including lectures, syllabi, ebooks, and MOOCS. You can go at your own pace, which is the finest part. It's common for algebra to be challenging because we mistakenly think we're learning new material when, in reality, we're just applying language to specific concepts that we already know to be true.

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The root of the graph of f(x) =(x - 5)3(x + 2)2 touches the x-axis at -2,5

(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

Given: Function f(x) is (x - 5)3(x + 2)2

If a curve touches the x-axis then f(x) = 0

⇒ (x - 5)3(x + 2)2 = 0.

But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.

⇒ (x - 5)3 = 0 and (x + 2)2 = 0

⇒ (x - 5) = 0 and x + 2 = 0

⇒ x = 5 and x = - 2.

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The roots of the quadratic equation 2x² √5x + 1 = 0 are two complex numbers.

To solve for the roots of the quadratic equation 2x² √5x + 1 = 0, we must first use the Quadratic Formula to solve for x. The Quadratic Formula is x = (-b ± √b²-4ac)/2a. In this equation, a = 2, b = √5, and c = 1. We then simplify the equation to be x = (-√5 ± √(5²-4(2)(1))/2(2). This simplifies to x = (-√5 ± √9i)/4. The two solutions to this equation are x = (-√5 + 3i)/4 and x = (-√5 - 3i)/4. Since both solutions involve complex numbers, the roots of 2x² √5x + 1 = 0 are two complex numbers.

x = (-√5 ± √(5²-4(2)(1))/2(2)

x = (-√5 ± √9i)/4

Root 1: x = (-√5 + 3i)/4

Root 2: x = (-√5 - 3i)/4

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La masa del sistema es inversamente proporcional a la temperatura del mismo. Existe una relación de proporcionalidad inversa.

En este problema tenemos dos casos de calentamiento sensible en dos muestras de agua, cuya fórmula se describe a continuación:

Q' · Δt = m · c · ΔT

Donde:

A partir de esta fórmula comprobamos que la masa del sistema es inversamente proporcional al cambio de la temperatura del sistema:

m ∝ 1 / ΔT

En consecuencia, a mayor masa, menor cambio en la temperatura.

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The nth formula of any mathematical expression represents the general formula for the given sequence or series.

Therefore, the nth formula is used to represents the mathematical sequence or series in standard form.

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19.25  scale factor did jennie use to go from polygon ccc to polygon ddd if Polygon ccc has an area of 777 square units.

What is polygon and examples?

A polygon is a closed shape with straight sides. Rectangles, triangles, hexagons, and octagons are all examples of polygons. The word polygon comes from the Greeks, like most terms in geometry, which they invented. It simply means many (poly) angles (gon).

The area of polygon D is given by:

Ad = k ^ 2 * Ac

Where,

k: scale factor

Ac: area of polygon C

Substituting the values we have:

Ad = (1/2) ^ 2 * (77)

Ad = (1/4) * (77)

Ad = 19.25 square unit

the area of Polygon D is: 28

Ad = 19.25 square units

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The value of x =68

We know that x+22 = 90 because the sum of the two angles is a vertical angle to the right angle and vertical angles are equal.

x+22 =90

Subtract 22 from each side

x+22-22 = 90-22

x =68

In algebra, the letter "x" is frequently used to denote an unknown value. It is referred to as a "variable" or occasionally a "unknown.

"How do you find value of x?

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

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Answer: 68

Step-by-step explanation:

Provided the correct answer after places 34 as the answer.

There are three parameter-passing modes in C++: by value, by pointer, and by reference.

Now, According to the question:

There are three parameter-passing modes in C++: by value, by pointer, and by reference.

What are the three main parameters?

The three main parameters assessed when calculating the Human Development Index of a place are:

A. Economic parameters.

B. Health parameters.

C. Education parameters.

D. Linguistic parameters.

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Geometric shapes that are identical in size and shape are known as congruent figures. Congruent figures are those in which you may use a series of translations, rotations, and/or reflections to turn one figure into another.

The separation between each pair of the geometric object's points is preserved during a rigorous change of the object. In other words, a rigid transformation maintains the object's size and shape. For instance, the rigid transformation of a triangle retains the angles and lengths of the triangle. Imagine a stiff shape distortion, similar to a cardboard shape.

There are isometric rotations, reflections, and translations. Accordingly, the size of the figure is unaffected by these adjustments. The figures are consistent if neither the size nor the form of the figure is altered.

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The equation that represent the situation in slope intercept form is y = -0.1075x + 32.7.

'

Equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

As you drive, the number of minutes since you filled the tank and the number of gallons remaining in the tank are related by a linear function.

After 40 minutes, you have 28.4 gallons left. An hour after filling up, you have 26.25 gallons left.

Let's find the slope.

(40, 28.4)(60, 26.25)

m = 26.25 - 28.8 / 60 - 40

m = -2.15 / 20

m = - 0.1075

Hence, let's find the y-intercept using (40, 28.4)

y = - 0.1075x + b

where

Therefore,

28.4 = -0.1075(40) + b

28.4 + 4.3 = b

b = 32.7

Therefore, the equation of the line is y = -0.1075x + 32.7

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Answer:

A,-10p+4q

Step-by-step explanation:

-2(5p-2q)

-2*5p+(-2*-2q)

-10p+4q

Answer:

[tex] - 10p + 4q[/tex]

is the answer. A

It is an Arithmetic sequence

What is Arithmetic sequence?

Arithmetic sequences are collections of integers where the distance between succeeding items is consistently the same.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is always the same. In this case, the difference between the two terms is 16 - 4/8 = 12.

So the sequence could be written as 4/8, 4/8 + 12, 4/8 + 2*12, ... and so on. Each term in the sequence is obtained by adding 12 to the previous term.

Hence, It is an Arithmetic sequence.

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Answer:

$1.60

Step-by-step explanation:

20% of $8.00 is actually 0.20 x 8

0.20 x 8 = 1.60

Answer:

$1.60

Step-by-step explanation:

First, convert the 20% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 20%) by 100%.So, the conversational term "20%" becomes 20% / 100% = 0.20

Second, you need to find out what 20% of your $8.00 meal cost is.This is always done by multiplying 0.20 by $8.00, or

0.20 x $8.00=$1.60.

So, the amount of tip you are going to leave is $1.60.

Answer:

y = 30x - 210

Step-by-step explanation:

Answer:

In given right angled triangle,

h=30 cm,p=18 cm,b=?

By Pythagoras theorem,

h²=p²+b²

or,b²=h²-p²

or,b²=(30)²-(18)²

or,b²=900-324

or,b=√576

or,b=24 cm

hence, the length of missing side is 24 cm

The instantaneous rate at the beginning of a reaction, or when t = 0, is known as the starting rate of the reaction.

The rate at the beginning of the reaction may be determined using the graph of change in product over time or change in reactant over time. The highest rate on the curve is the beginning rate. Since the reactants are concentrated at their highest at the beginning, the most collisions are occurring.

Rates of response can be depicted in graphs. To depict the pace of reaction, we may create a graph of product (or reactant) against time. The pace of reaction will be the gradient of the graph. The pace of response increases with increasing gradient steepness.

The instantaneous rate at the beginning of a reaction, or when t = 0, is known as the starting rate of the reaction. The beginning rate is equal to the slope of the reactant concentration versus time curve at time zero, which is negative.

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The total surface area​ of a cylinder are 1187.35 cm sq.

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

We are given the curved surface area and volume of a cylinder are 880 CM^2 and 3080 cm^3 respectively.

A = 880

V = 3080

Curved surface area of cylinder = 2πrh

880 = 2π x r x h

rh = 880/ 2π

Volume of cylinder = πr x r x h

3080 =  πr x r x h

rh =   3080 / πr

Substitue the values;

880/ 2π = 3080 / πr

440/π = 3080 / πr

r  = 3080 / 440

r = 7

Now, rh = 880/ 2π

h = 20.01

The total  surface area​ = 2πr(r + h)

= 2π x  7(7 + 20.01)

= 1187.35 cm sq.

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