Point B (-5,5) is
reflected over the
x-axis. Where is
B'?

A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.

(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.

(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.

The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.

The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.

A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.

A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

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The angle of elevation of the ladder is 59.0 degrees

We can use trigonometry to solve this problem. Let x be the angle of elevation of the ladder. Then, we have:

sin(x) = opposite/hypotenuse

cos(x) = adjacent/hypotenuse

In this case, the opposite side is 12 ft (the height of the ladder), and the hypotenuse is 14 ft (the length of the ladder).

We want to find the angle x, so we can use the inverse sine function:

So, we have

sin(x) = 12/14

sin(x) = 0.8571

Take the arc sin of both sides

x = 59.0 degrees

Hence, the angle is 59.0 degrees

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The value of x in the secant intersection is 4.

If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.

Therefore, let's find the value of x using the secant intersection theorem as follows;

4(4+x + 2) = 5(5 + x - 1)

4(6 + x) = 5(4 + x)

24 + 4x = 20 + 5x

24 - 20 = 5x - 4x

x = 4

Therefore,

x = 4

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The scatter plot shows a [positive linear] association.

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

The image of the scatter plot

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values increases

This represents a positive linear association.

Hence, the association is a positive linear association.

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if 40 is the least frequent multiple of two whole numbers. The higher number to lesser number ratio is 4:5. The two digits after that are 8 and 10.

Least Common Multiple is the meaning of the abbreviation LCM.

The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers.

It can also be computed using two or more numbers.

Finding the LCM of a given collection of numbers can be done in a variety of ways.

Utilizing the prime factorization of each number and then calculating the product of the greatest powers of the shared prime factors is one of the quickest techniques to determine the LCM of two numbers.

In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple.

The smallest number among all numbers is called the least common multiple of two or more numbers.

According to our question-

The number LCM is equal to 40.

4 × 5 × x = 40

20 × x = 40

20x=40

x=2

The larger number is equal to 4 x=4(2)=8.

The smaller value is =5x=5(2)=10.

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Complete question-

The least common multiple of two whole numbers is 40. The ratio of the greater number to the lesser number is 4:5. What are the two numbers?

Answer:

x = 15

Step-by-step explanation:

If ABC similar to EDC then we can use the similarity ratio to find the value of x

32/(3x-5) = 56/(5x-5) cross multiply the fractions

160x - 160 = 168x - 280 export like terms to the same side of the equation

280 - 160 = 168x - 160x

120 = 8x divide both sides by 8

15 = x

Answer:

2200

Step-by-step explanation:

....................

Answer:

\(12(x - 4)\)

Step-by-step explanation:

The question says, "twelve times the difference of a number and four"

Let's start with the first number, which is twelve = 12. Moving on, we have times = ×, then the difference which is minus(-). A number is unknown, any aphabet can be used to represent the number, so, we represent with 'x', and then four = 4.

Arranging them, we have:

\(12 \times x - 4\)

in algebraic equations, times is always represented by bracket. Therefore, our final answer is:

\(12(x - 4)\)

I hope this helps.

The relationship between investments and productivity is that investments can help improve productivity, which is the correct option (C).

Investments can be used to acquire new equipment, hire additional workers, or implement new technologies that can enhance a company's productivity.

In general, corporations' major source of revenue is productivity, which is the economic outcome of the company's specific operations, such as the sale of a certain product, the rental of a certain item, the supply of a certain service, and so on.

By investing in these areas, companies can improve their efficiency, reduce costs, and increase output.

Therefore, the relationship between investments and productivity is that investments can help improve productivity.

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Answer:

half flyfkycoyfkgflycj hrxhrhddzg

Answer:

width= 14

Step-by-step explanation:

Play around with numbers, i used 4, then 6, then 5 for the length. 5 is correct, do 5*2=10+4=14; 14*2+5*2= 28+10= 38

Therefore, the width of the rectangle is 14.

Answer:

w = 5

l = 14

Step-by-step explanation:

We have to use system of equations here.

Let w be the width and l be the length

l=2w+4

w=l(1/2)-4

The equation is going to look like this

l+w+l+2 = 38

2l+2w = 38

Now, I will substitute l with what I said was equal to l above

2(2w+4)+2w = 38

Distribute:

4w+8+2w = 38

Combine like terms

6w+8=38

Same to both sides, subtract 8 on both sides

6w=30

Divide each side by 6

w=5

We know the width is 5, and now using the width, we can find the length, so we do 5*2+4 which is 14. Then we can plug that in:

2w+2l

2(5)+2(14)

10+28=38

Please let me know if you have any questions

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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Answer:

The last gearwheel would make 3 revolutions.

Step-by-step explanation:

The measure of the revolution of a gear per minute is referred to as the speed ratio. The speed ratio is the ratio of the speed of the driver gear to that of the driven gear, or ratio of the number of teeth of the driven gear to the number of teeth of the driver gear.

In the given question, the second and third gears are idlers. while the first is the driver and the fourth the driven.

The revolution of the last gearwheel can be determined by;

Speed ratio =  \(\frac{number of teeth of the driven gear}{number of teeth of the driver gear}\)

                    = \(\frac{10}{30}\)

                    = \(\frac{1}{3}\)

Speed ratio = 1 : 3

The last gear would make 3 revolutions.

you can start by dividing the total length of the road by the distance that can be repaired per week:

13 km ÷ 3 1/2 km/week = 3.71 weeks

Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.

Answer:

54

Step-by-step explanation:

39 + 87 = 126. 180 - 126 = 54

Answer:

1.2 miles.

Step-by-step explanation:

because her weight is similar to that of a teenaged girl, she wouldn't be able to pedal very hard, or for long periods of time- she doesn't have the stamina for a cross-country ride. Therefore, using various statistics on house location in relation to park location, we can assume that the distance is about 1.2 miles.

Part A

P(white) = (3 white)/(10 total) = 3/10

==============================================

Part B

10 total, 3 are white

10-3 = 7 are not white so they are either black or red

P(black or red) = 7/10

==============================================

Part C

Earlier in part B we calculated 7 beads that weren't white

This means P(not white) = P(black or red) = 7/10

They are the same probability just phrased slightly different ways.

==============================================

Part D

There aren't any blue beads (unless there's a typo somewhere). So the probability of picking not blue is 100% or we represent this as the value 1.

The key phase that we see in our response is "Divide the numerator by the denominator" (option C).

A key phrase refers to a phrase that contains words that define the most important part of a text. A key phrase serves as a summary of a paragraph or larger text.

In this case, the key phrase would serve to establish what was the mathematical procedure that we carried out to solve a mathematical problem. According to the above, it can be inferred that the key phrase must contain the most precise information to describe this procedure.

Based on the above, the correct answer is "Divide the numerator by the denominator" because it exactly describes the procedure that was performed.

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Total surface area of right triangular prism is 750cm²

A right triangular prism is a three-dimensional geometric shape with three rectangular faces connecting the edges of its two parallel, congruent triangular bases.

Area of the two opposite side triangles (A₁) = 2 × ( \(\frac{1}{2}\) × 12 × 5)

Area of the two opposite side triangles (A₁) = 60 cm²

Area of upper, lower and side rectangles (A₂) = (5×23) + (12×23) + (13×23)

Area of upper, lower and side rectangles (A₂) = 115 + 276 + 299

Area of upper, lower and side rectangles (A₂) =  690 cm²

Total surface area of right triangular prism = A₁ + A₂

Total surface area of right triangular prism = 60 + 690

Total surface area of right triangular prism = 750 cm²

Therefore, the total area of the right triangular prism is 750cm²

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Answer:

Please help me important question in image

Step-by-step explanation:Please help me important question in image

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Answer:

The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.

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Answer:

9 sqrt(2) /2 = x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hypotenuse

sin 45 = x /9

9 sin 45 = x

9 sqrt(2) /2 = x

If the Interest rates fluctuate with the economy. In the 1980s, the highest CD interest.

a. The ending balance is $2,225.54.

b. The ending balance is $1,105.17.

c. The difference is  $1,120.37.

a. Ending balance

Ending balance =pe^r×t

Where:

P= Principal = $1,000

R= Interest rate = 16%

T= Time = 5

Ending balance=?

Ending balance =1000e^0.16×5

Ending balance =1000e^0.8

Ending balance =$2,225.54

b. Ending balance:

Ending balance =pe^r×t

Where:

P= Principal = $1,000

R= Interest rate = 2%

T= Time = 5

Ending balance=?

Ending balance =1000e^0.02×5

Ending balance =1000e^0.1

Ending balance =$1,105.17

c. Difference :

Difference = $2,225.54 - $1,105.17

Difference = $1,120.37

Therefore the ending balance is $2,225.54, the ending balance is $1,105.17 and the difference is  $1,120.37.

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\(\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= 2x^2 + x -3 \qquad \begin{cases} x_1=0\\ x_2=2 \end{cases}\implies \cfrac{f(2)-f(0)}{2 - 0} \\\\\\ \cfrac{[2(2)^2 + (2) -3]~~ - ~~[2(0)^2 +(0) -3]}{2}\implies \cfrac{7-(-3)}{2}\implies \cfrac{7+3}{2}\implies \text{\LARGE 5}\)

The rate of change for the interval between 0 and 2 for the quadratic equation will be 5. Then the correct option is C.

It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.

Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]

The function is given below.

f(x) = 2x² + x - 3

The rate of change of the function for the interval between 0 to 2 is calculated as,

Average rate = [f(2) - f(0)] / [2 - 0]

Average rate = [(2(2)² + 2 - 3) - (2(0)² + 0 - 3)] / 2

Average rate = 10 / 2

Average rate = 5

The rate of change for the interval between 0 and 2 for the quadratic equation will be 5. Then the correct option is C.

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Answer:.

Step-by-step explanation im not sure

Answer:

Step-by-step explanation:

47.)  sin20 = 6/b

b = 6(sin20) = 17.5

c = √6²+17.5² = 18.5

48.)  tan61 = y/18

y = 18(tan61) = 32.5

z = √18²+32.5² = 37.1

49.)  r = √25²+23² = 34

50).  d = √30²+7² = 30.8

51.)  sin71 = j/19

j = 19(sin71) = 18

k = √19²-18² = 6.2

52.)  y = √4²-1² = √7 = 2.6

53.)  sin49 = f/26

f = 26(sin49) = 19.6

h = √26²-19.6² = 17

54.)  t = √7²+4² = 8.1

Answer:

23 i think im not allway right

Step-by-step explanation:

Answer:

I guess you don't get the numbers which are not in the A and B

like 1,2,9,10

The requried set of (A U B)' U B is given as (A U B)' U B. = {1, 2, 4, 5, 6, 8, 9, 10}.

Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form.

here,
U = {1,2,3,4,5,6,7,8,9,10,11}

A = {3,4,6,7,11}

B = {4,5,6,8}.

A U B =  {3, 4, 5, 6,7, 8, 11}
(A U B)' = {1, 2, 9, 10}

(A U B)' U B. = {1, 2, 4, 5, 6, 8, 9, 10}

Thus, the requried set of (A U B)' U B is given as (A U B)' U B. = {1, 2, 4, 5, 6, 8, 9, 10}.

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Answer:

23. Similar as well as congruent triangle

25. Conguent triangle

Step-by-step explanation:

Answers:

23. Not enough information

25. Congruent (by the HL theorem)

HL = hypotenuse leg

=============================================

Explanation for problem 23.

Check out figure 1 shown below.

I have marked the given diagram with light blue and light pink to show which angles are congruent.

Because lines UN and TC are parallel, we know the following alternate interior pairs are congruent.

Therefore, we can establish one link of paired congruent angles of the triangles LNU and TCH. However, we cannot determine any other angle pairings. Why not? Because we don't know if segment UL is parallel to segment TH. If they were parallel, then we could establish something like angle LUN = angle CHT as one alternate interior pairing.

But again, we don't know if UL is parallel to TH. The arrow markers aren't shown for these segments.

Therefore, we simply don't have enough information to determine if the triangles are similar or congruent.

----------------------------------------

Explanation for problem 25.

Luckily this problem will provide sufficient info to prove the triangles KSR and ISR are congruent.

We start with the given info that KR = SI due to the identical tickmarks. This represents one node in the flowchart (see figure 2).

Another node is angle RKS = angle RIS because both are right angles, aka 90 degree angles.

A third node is SR = SR because of the reflexive property.

Those three nodes then feed into the final conclusion node that triangle KSR = triangle ISR. The reasoning is "HL theorem" where HL = hypotenuse leg. This theorem works for right triangles only.

Take note how I structured the proof so that it flows from top to bottom. The three nodes side by side are related so they share the same row.

There are many other ways to make the flowchart, so don't feel obligated to use this format. Use whatever works best for you.