Which of the following is an example of the Closure Property of multiplication for the set of whole numbers?

A. 74 + 59 = 59 + 74
B. 65 × 3 = 3 × 65
C. 6× 4 = 24
D (2 + 4) + 5 = 2 + (4 + 5)

The line given by the point slope equation y - 8 = 1/2 (x - 4) represents the linear function f(x) = [tex]\frac{1}{2}[/tex] x + 6.

Linear functions are those functions whose graph drawn is a straight line. It consists of one dependent variable and one independent variable.

Linear functions are usually represented as f(x) = y = p + qx.

The given equation of the line in point slope form is,

y - 8 = 1/2 (x - 4)

⇒ y - 8 = (1/2 × x) - (1/2 × 4)

⇒ y - 8 = 1/2x - 2

⇒ y = 1/2x -2 + 8

⇒ y = 1/2x + 6

When x = 0, y = f(0) = (1/2 × 0) + 6 ⇒ f(0) = 6

Hence linear function f(x) = [tex]\frac{1}{2}[/tex] x + 6 represents the line given by the point slope equation y - 8 = 1/2 (x - 4).

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Q1 If you averaged every person in the population, the result would be Mu, but the mean of a sample, or xbar, would be the average value discovered in the sample.

Q2 For the group being tested, each point in a sample distribution represents a potential outcome variable.

Q3 The random condition is very important because it simplifies the sample and prevent possible bias in the sampling.

Q4 To make sure that the observations in the sample are nearly independent, it is crucial to evaluate the 10% condition before calculating probability involving x.

Q5 The big counts criterion ensures that there are more successes than failures for a normally distributed set of results. The need for big numbers is np ≥10 and n(1-p) ≥10.

Q6 For a variety of reasons, finding unbiased estimates for those seeking asylum may be challenging. First, because of persecution, these people are escaping their country.

Q7 there is less spread for larger sample than that of lower sample.

The probability distribution of a statistic acquired from a bigger sample size taken from a certain population is known as the sampling distribution.

Based on the data they have available, sampling distributions are useful tools used by researchers to estimate and draw conclusions about a wider population of interest.

Q1 If you averaged every person in the population, the result would be Mu, but the mean of a sample, or xbar, would be the average value discovered in the sample.

Q2 For the group being tested, each point in a sample distribution represents a potential outcome variable.

Q3 The random condition is very important because it simplifies the sample and prevent possible bias in the sampling.

Q4 To make sure that the observations in the sample are nearly independent, it is crucial to evaluate the 10% condition before calculating probability involving x.

Q5 The big counts criterion ensures that there are more successes than failures for a normally distributed set of results. The need for big numbers is np ≥10 and n(1-p) ≥10.

Q6 For a variety of reasons, finding unbiased estimates for those seeking asylum may be challenging. First, because of persecution, these people are escaping their country.

Q7 there is less spread for larger sample than that of lower sample.

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Answer:

C,D

Step-by-step explanation:

C and D  are multiplying 250 by  a number greater than one so the result will be greater than 250

 The first two are multiplying 250 by a frction less than one....the result will be less than 250

The formula for finding the standard deviation for a binomial distribution is σ2=npq. f.

What means binomial distribution?

When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution.

For each random variable X, the binomial distribution formula is given by;

P(x:n,p) = nCx px (q)n-x

Where,

n = the number of experiments

x = 0, 1, 2, 3, 4, …

p = Probability of Success in a single experiment

q = Probability of Failure in a single experiment = 1 – p

formula for finding standard deviation of a binomial distribution is npq. f.

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All of the given numbers are irrational numbers.  

A real number that can't be stated as a ratio of integers is said to be an irrational number. In simple words, an Irrational number is a number that cannot be represented as p/q where q ≠ 0.  

An irrational number's decimal expansion is neither ending nor recurrent i.e the decimal expansion of an irrational number will be a Non-terminating decimal number.  

Here are some examples of Irrational Numbers

Here we have

[tex]1.7 \overline {3}[/tex] ,  π, ∛90, and √60    

If we observe the given numbers

[tex]1.7 \overline {3}[/tex] = 1.73333333..... is a Non -terminating decimal number  

π is an example of an irrational number

∛90  cannot be represented as a p/q form

√60 = √4 × 15 = 2√15  where √15 is an irrational number

From above information

The given numbers  π, √90, and √60 all are irrational numbers

Therefore,

All of the given numbers are irrational numbers

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1/2

what is whole number?

All natural numbers and 0 are included in the category of whole numbers. They are a subset of real numbers, which exclude negative numbers, decimals, and fractions. Whole numbers include counting numerals as well.

According to question,

heaviest squash than the lightest squash are,

[tex]7/8-3/8=4/8[/tex]

[tex]=1/2[/tex]

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The correct option Rotate 90 counterclockwise about the origin, then translate 9 units right and 1 unit down, to get the image triangle DEF.

Translation:

Rotation 90 counterclockwise:

Thus, triangle transformation Triangle DEF is the congruent image produced by ABC. Turn the object 90 degrees counterclockwise, then move it 9 units to the right and 1 unit to the bottom.

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Answer:

£12000

Step-by-step explanation:

1 year = 1.5%

4 years = 6%

6% = 0.06

200000 times 0.06 = £12000

So, Katy will get £12000 interest rate at the end of 4 years.

If you can, please give me a Brainliest; thank you, and have a good day!

Answer:

£3,137

Step-by-step explanation:

First year: £200000 x 1.5% = £3,000

Second year: £203,000 x 1.5% = £3,045

Third year: £206,045 (because of 203,000+3,045) x 1.5% = £3,090.675

Last year: £209,135.675 x 1.5% = approximately £3,137

The difference between F(8) and F(2) is 12

What are Functions?

A function is an expression, rule, or law in mathematics that describes a connection between one variable (the independent variable) and another variable (the dependent variable).

Solution:

Given: Function of Warming Room = F(m) = 2m + 58

To Find: F(8) - F(2)

F(8) = 2*8 + 58 = 16+58 = 74

F(2) = 2*2 + 58 = 4+58 = 62

F(8) - F(2) = 74 - 62 = 12

The difference between F(8) and F(2) is 12

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Answer:

one solution

Step-by-step explanation:

because it has diffrent slopes

The probability of getting two odd numbers is 1/2*1/2 = 1/4.

Making the standard assumptions (unbiased die, faces numbered 1-6), there are three odd numbers per die (1, 3 and 5), so the probability of getting an odd number on a die is 3/6 = 1/2, and the probability of getting two odd numbers is 1/2*1/2 = 1/4.

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1/2*1/2 = 1/4 is the likelihood of receiving two odd numbers.

When an experiment has just two possible results, binomial probability can be used to calculate the likelihood of each outcome (success and failure).

In a binomial circumstance, there are only two outcomes that can occur on each try. Depending on what you want, you may declare one of the possibilities a failure and the other a success. Anything less than a 6 is a failure, whereas a 6 is a triumph.

A binomial experiment is a statistical test that has the following features: The experiment consists of n repeated repetitions. Each experiment has only two possible outcomes. One of these outcomes is known as a success, while the other is known as a failure.

According to the given information

The probability of receiving an odd number on a die is 3/6 = 1/2 and the likelihood of getting two odd numbers is 1/2*1/2 = 1/4 under the usual assumptions (unbiased die, faces numbered 1-6). There are three odd numbers per die (1, 3 and 5).

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Answer:

JL = 7.5

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{JL}{AC}[/tex] = [tex]\frac{JK}{AB}[/tex] ( substitute values )

[tex]\frac{JL}{2.5}[/tex] = [tex]\frac{10.5}{3.5}[/tex] ( cross- multiply )

3.5 × JL = 2.5 × 10.5 = 26.25 ( divide both sides by 3.5 )

JL = 7.5

Answer:

Step-by-step explanation:

Step 1

1 of 5

Graph the three points and connect them to create the mid segments of the triangle:

Use midsegments of triangles in the coordinate plane.

Use the Triangle Midsegment Theorem to fi nd distances.

Using the Midsegment of a Triangle

A midsegment of a triangle is a segment that connects the

midpoints of two sides of the triangle. Every triangle has

three midsegments, which form the midsegment triangle.

The midsegments of △ABC at the right are MP —, MN —,

and NP —. The midsegment triangle is △MNP.

Using Midsegments in the Coordinate Plane

In △JKL, show that midsegment MN — is parallel to JL —

and that MN =

1

—2 JL.

SOLUTION

Step 1 Find the coordinates of M and N by fi nding

the midpoints of JK — and KL —.

M (—

−6 + (−2)

2

, —

1 + 5

2

) = M ( −8 —

2

, 6

—

2

) = M(−4, 3)

N (—

−2 + 2

2

, —

5 + (−1)

2

) = N ( 0

—

2

, 4

—

2

) = N(0, 2)

Step 2 Find and compare the slopes of MN — and JL —.

slope of MN —= —

2 − 3

0 − (−4) = −

1

—

4

slope of JL — = —

−1 − 1

2 − (−6) = −

2

—

8

= −

1

—

4

Because the slopes are the same, MN — is parallel to JL —.

Step 3 Find and compare the lengths of MN — and JL —.

MN = √——

[0 − (−4)]2 + (2 − 3)2 = √—

16 + 1 = √—

17

JL = √———

[2 − (−6)]2 + (−1 − 1)2 = √—

64 + 4 = √—

68 = 2 √—

17

JL = √———

[2 − (−6)]2 + (−1 − 1)2 = √—

64 + 4 = √—

68 = 2 √—

17

Because √—

17 =

1

—2

(2 √—

17 ) , MN =

1

—2 JL.

Monitoring Progress onitoring Progress Help in English and Spanish at BigIdeasMath.com

Use the graph of △ABC.

1. In △ABC, show that midsegment DE — is parallel

to AC — and that DE =

1

—2 AC.

2. Find the coordinates of the endpoints of

midsegment EF —, which is opposite AB —. Show

that EF — is parallel to AB — and that EF =

1

—2 AB.

READING

In the fi gure for Example 1,

midsegment MN — can be

called “the midsegment

opposite JL —.”

midsegment of a triangle,

p. 330

Previous

midpoint

parallel

slope

coordinate proof

Core Vocabulary Core Vocabulary

A C

P

N

M

B

x

y

4

6

−2

−6 −4 −2

M

N

K(−2, 5)

J(−6, 1)

L(2, −1)

x

y

−4

−6

−2 2 4 6

D

E

C(5, 0)

B(−1, 4)

A(

The scatter chart indicates that there is a positive relationship between profits and market capitalization. This means that as profits increase, market capitalization also tends to increase.

The covariance between two variables is a measure of how much the variables tend to change together. A positive covariance indicates that the variables are positively related, which means that as one variable increases, the other tends to increase as well. In this case, a positive covariance between profits and market capitalization indicates that the two variables are positively related.

The correlation coefficient is a measure of the strength of the relationship between two variables. A correlation coefficient of 1 indicates a perfect positive relationship, while a coefficient of -1 indicates a perfect negative relationship. A coefficient of 0 indicates that there is no relationship between the variables. In this case, the correlation coefficient of 0.8229 indicates that there is a strong positive linear relationship between profits and market capitalization.

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Answer: 3 ft per second

Step-by-step explanation: 40/4 120/4
10/10 30/10

1 second = 3 ft

OR

120/40=3

The equation of the line in slope-intercept form is y = 0.5x + 1

From the question, we have the following parameters that can be used in our computation:

Points = (0, 1) and (-4, -1)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

m = slope

This means that

c = 1

So, we have the following representation

y = mx + 1

At (-4, -1), we have

-1 = -4m + 1

This gives

-4m = -2

Divide by -4

m = 0.5

So, we have

y = 0.5x + 1

Hence, the equation  is y = 0.5x + 1

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A box of truffles costs $4.00 each

A box of peanut brittle costs $4.00 each

What is the algebra of equation?

A mathematical statement in which two expressions are rendered equal to one another is known as an algebraic equation. A variable, coefficients, and constants make up an algebraic equation in most cases.

Here, we

Let t = boxes of truffles and p = peanut brittle

53t + 54p = 428...(1)

67t + 54p = 484...(2)

On solving equations (1) & (2), we get

14t = 56

t = 4

53t + 54p = 428

53(4) + 54p = 428

212 + 54p = 428

54p = 216

p = 4

Hence,

A box of truffles costs $4.00 each

A box of peanut brittle costs $4.00 each

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Answer: 22 = a - 295

Step-by-step explanation:

"equals" means equals or the solution and can be shown with the equal sign.

"reduced by" also means subtracted by and can be shown as the minus sign.

I hope this helps :)

The circle's perimeter is determined by F = -9π, according to green's theorem.

The simple formula for Green's theorem is the link between the total amount of microscopic circulation inside curve C and the macroscopic circulation revolving around it.

Remembering that we are talking about two dimensions, if C is a straightforward closed curve in the plane, it will enclose the region D (shown in red) in the plane.

So, knowing that this exercise should be solved using Green's theorem, then:

[tex]\begin{aligned}& \int 4 y d x+2 x y d y=\iint(d / d x)(2 x y)-(d / d y)(4 y) d A \\& =\iint 2 y-4 d A\end{aligned}[/tex]

You must convert in this manner to polar coordinates, and the result will be:

[tex]\begin{aligned}& \int_0^3 \int_0^{2 \pi}(2 r \sin (\theta)-4)(r) d \theta d r \\& =\int_0^3(-2 r \cos (\theta)-4 \theta)(-2 r \pi) d r \\& =-(\pi)\left(r^2\right)=-9 \pi\end{aligned}[/tex]

Therefore, the circle's perimeter is determined by F = -9π, according to green's theorem.

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Correct question;
Suppose F⃗ (x,y)=4yi⃗ +2xyj⃗ . Use Green's Theorem to calculate the circulation of F⃗ around the perimeter of a circle C of radius 3 centered at the origin and oriented counter-clockwise.

There are 3 dimes and 12 nickels

Two or more expressions with an Equal sign is called as Equation.

Given,

let x = the number of dimes

then  4x = the number of nickels =y

0.05(4x) = the value of the nickels

0.10x = the value of the dimes

Since the total value of the coins is $0.90 we can write the equation:

0.05(4x) + 0.1x = 0.90

0.2x + 0.1x = 0.90

0.3x = 0.90

Divide both sides by 0.3

x = 3

Hence, there are 3 dimes and 12 nickels

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Proportional functions are used to express direct variation in graphs.

The graph shows a straight difference.

How to determine the type of graph?

From the graph, we have the following ordered pairs

(x, y) = (0, 0), (2, 4) and (3, 9)

We can rewrite it as:

(x,x^2) = (0,0^2), (2,2^2) and (3,3^2)

The above means that, the equation of the graph is:

y = x²

It means, y varies directly to the square of x

Where, the proportionality constant is equal to 1

Therefore, the graph represents a direct variation

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I agree with Noah because she used Pythagorean theorem.

Pythagoras, a Greek philosopher who was born in 570 BC, is honored by having his theorem named after him. The theorem has likely been demonstrated the most times of any mathematical theorem using a variety of techniques.

In analytic geometry, when Euclidean space is represented by a Cartesian coordinate system, Euclidean distance satisfies the Pythagorean relation: the squared distance between two points equals the sum of squares of the difference in each coordinate between the points. The theorem can be applied to higher-dimensional spaces, non-Euclidean spaces, objects other than right triangles, and even things that are not triangles at all but n-dimensional solids.

Given that,

Taylor says that triangle ACD is similar to triangle ABC

And length of CB is 11.96

Abd also given that,

Noah says that since ABC is a triangle.

Length of CB is 12

I agree with Noah because she used Pythagorean theorem,

BC²+AC²=AB²

12²+5²=13²

144+25=169

169=169

So, I agree with Noah.

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Step-by-step explanation:

-4(n-6)=12

-4n+24=12

-4n=-36

4n=36

n=36/4

Answer:

Kayla Calculated the Mean instead of the median.

Step-by-step explanation:

If Kayla's work is the sum of all the numbers, she is calculating the mean.

Answer: No the triangle with sides 8cm 16 cm 18cm can't be a right angle triangle because of the Pythagoras theorem which states   that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

Step-by-step explanation:

Hope this was helpful

Answer:

no it is not a right angled triangle the Pythagoras theorem

Answer:

62.625

Step-by-step explanation:

First, we divide 33.4 by 4 to see what ONE gallon weighs.
33.4/4=8.35

8.35*7=58.45+(8.35*(1/2))= 62.625

Therefore, your answer is 62.625

I hope you understand my explanation. I pride myself on making my answers, short, descriptive, yet easy to read.

please give brainliest! Thanks! Hope this helped.

Answer:

62.625 lb

Step-by-step explanation:

Define the variable:

Set up a ratio of weight to number of gallons:

[tex]\implies x:7.5=33.4 :4[/tex]

Solve for x:

[tex]\implies \dfrac{x}{7.5 }=\dfrac{33.4}{4}[/tex]

Cross multiply:

[tex]\implies 4x=33.4 \cdot 7.5[/tex]

[tex]\implies 4x=250.5[/tex]

Divide both sides by 4:

[tex]\implies \dfrac{4x}{4}=\dfrac{250.5}{4}[/tex]

[tex]\implies x=62.625[/tex]

Therefore, the weight of 7.5 gallons of water is 62.625 lb.

The expression that has the element of A*B*B is Option A - (b,2,3)

Sets are groups of clearly defined objects or elements in mathematics. A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set.

The "elements" of a set are the objects that make up the collection. Sets are equal if and only if they have the same elements, therefore a = A denotes that 'a' is one of A's elements. For sets, repetition and order are irrelevant.

Given, A={a.b} and B=[1,2,3]

Since the required expression was supposed to have the element of A*B*B the correct option would be A since it has elements b from A, 2 from B, and 3 from B, fulfilling all the required elements.

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Principal will be $1000

Given values

Simple interest, SI= $800

Interest rate, R=8%

Time, T=10 months

Principle, P= Y

As we know;

[tex]Simple Interest, SI=P×R×T[/tex]

By substituting the values, we get

$800= Y ×8% ×10

$800=0.8Y

$800÷0.8= Y

$1000=Y

Thus the above response is correct.  

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The function depicted in the table has the following slope-intercept form:

y = -3x + 4

For such equation of every straight line, the slope-intercept form is provided by:

y = mx +c

where:

Choose 2 points from the provided table, such as (2,-2) and (3,-5) and to use the evidence that the slope is, to determine the line's slope.

m = (y2 - y1)/(x2 - x1)

m = -5 + 2 / 3 - 2

m = -3

You can use the point (2,-2) or other point listed in the table along with this relation, to determine the y-intercept b.

b = y1 - mx1

b = (-2) -(-3 + 2)

b = 4

Consequently, is the function represented by the table's slope-intercept form: y -3x + 4.

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