Solve the system of equations by substitution.

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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The largest number is -1

What is number ?

An arithmetic value known as a number is used to represent a quantity and do calculations. Numbers are represented by written symbols, such as "3," which are referred to as numerals. A number system is a method of writing that uses logically ordered digits or symbols to represent numbers.

An item in mathematics used for measurement, labeling, and counting is a number. The prime numbers 1, 2, 3, 4, and so forth are the original examples. Number words can be used to represent numbers in language.

Let the 4 consecutive integers are

x

x+1

x+2

x+3

x + (x+1) + (x+2) + (x+3) = -10

4x + 6 = -10

4x = -16

x = -4

The 4 consecutive integers are -4 , -3 , -2 , -1

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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 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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Answer:

The answer is 5

Step-by-step explanation:

length(Hypotenuse) = 13m

height(opposite) = 12m

ground(adjacent) = ?

using the formula

Hyp² = oppo² + Adj²

13² = 12² + Adj²

Adj² = 13² – 12²

Adj² = 169 – 144

Adj² = 25

Adj = √25

Adj = 5

:- the distance of the foot of the ladder from the bottoms wall is 5

i hope this helps

There are 2 terms in this mathematical expression. One multiplication sign act as an operator of two numbers.

It is a mathematical statement express the relationship between two or more terms along with mathematical symbols. Terms can be numbers, variables with or without coefficient. symbols can be addition sign, multiplication sign, division and subtraction sign, equal or inequal sign etc. Beside this we have many other operator or symbols to state the mathematical expression.

In the above question, we have 2 numbers along with a symbol. We notice that 4 and 5 are two numbers multiplied here as there is a multiplication sign between them.

4 x 5 denotes an expression which state that 4 is multiplied by 5 and the result will be 20.

hence, we have 2 terms and one operator.

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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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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:

(y, x )

Step-by-step explanation:

under a reflection in the line y = x

a point (x, y ) → (y, x )

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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Yes , the given statement a binomial can have degree three is true.

As given in the question,

Binomial can have degree three is a true statement explain in a following way:

Therefore, binomial may have degree 3 is a true statement.

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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 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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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

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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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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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.

Answer:

To find the percentage of bad apples, we need to divide the number of bad apples by the total number of apples and then multiply by 100%. In this case, there were 24 apples in total and 6 of them were bad, so the percentage of bad apples is 6/24 * 100% = 25%. Rounded to the nearest number, this is equal to 25%.

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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Answer:

4×side

Step-by-step explanation:

i hope this helps

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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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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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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Answer:

y = 30x - 210

Step-by-step explanation:

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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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:

B.) 13

C.) 0.6

Step-by-step explanation:

The order of operations to evaluate these expressions is as follows:

Parentheses

Exponents

Multiplication/Division

Addition/Subtraction

So, for B.)

[tex]9^\frac{1}{2}+\sqrt{25}-8\div2+3^2[/tex]

This can be rewritten as
[tex]9^\frac{1}{2}+25^\frac{1}{2}-8\div2+3^2[/tex]

Since there are no parentheses, evaluate the exponents first:

[tex]3+5-8\div2+9[/tex]

Next, there are no multiplication steps, but there is one division:

[tex]3+5-4+9[/tex]

To finish, evaluate from left to right:

[tex]3+5-4+9\\8-4+9\\4+9\\13[/tex]

Follow the same pattern for C.)

[tex](\frac{1}{2})(\frac{3}{5})(2^3-6)[/tex]

This expression can be rewritten as

[tex](1\div2)(3\div5)(2^3-6)[/tex]

First, evaluate the expressions in the individual parentheses, keeping in mind the expression [tex](2^3-6)[/tex] must be evaluated following the same pattern (evaluate the exponent before subtracting six):

[tex](.5)(.6)(8-6)\\(.5)(.6)(2)[/tex]

To finish, evaluate from left to right:

[tex](.3)(2)\\.6[/tex]

Hope that helps!

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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