The coordinates of point T are (0,3). The midpoint of ST is (7. - 3). Find the coordinates of point S.
.
The other endpoint is
(Type an ordered pair.)

The type of sampling used in this scenario is stratified sampling. Stratified sampling involves dividing the population into distinct groups or strata based on certain characteristics and then selecting a proportionate number of individuals from each group to form the sample.

In this case, Donald divides the women into groups based on age and randomly selects a proportionate number of women from each age group. Stratified sampling is used when the population has distinct subgroups that may have different characteristics or behaviors. By ensuring representation from each subgroup, it allows for more accurate analysis and conclusions within each subgroup and the overall population.

Systematic sampling involves selecting every kth individual from the population after an initial random starting point. Convenience sampling involves selecting individuals based on convenience or accessibility. Cluster sampling involves randomly selecting entire groups or clusters from the population.

Since Donald divides the population into groups by age and selects a proportionate number of women from each group, the sampling method used is stratified sampling.

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Answer:

ether:

y= 1/3 = 0.333

OR

y= 3/2 = 1.500

Answer:

Profit Percentage = 50%

Step-by-step explanation:

Cost price, CP = $80

Selling price, SP = $120

Profit = 120 - 80 = $40

\(Profit \ \%= \frac{SP - CP}{CP} \times 100 \\\\Profit \ \% = \frac{ profit}{CP} \times 100 = \frac{40}{80} \times 100 = \frac{1}{2} \times 100 = 50 \%\)

Pan tool do the data analyst use to select the area on the map representing Finland.    

What is data analyst?

A data analyst is working with the world happiness data in table. To use Pan tool to select the area on the map representing Finland.

A data professional examines data to uncover critical insights about a company's consumers and how the data may be utilized to address problems. They also share this information with corporate executives and other stakeholders.

Pan allows us to shift the map to focus on it or present the areas in the way we wish. Simply pick the Pan Option and move the map around to suit your needs. Alternatively, you may move the map by holding down the Shift key.

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Answer:

3 5,7,9,11,13,16,17 19,21,23,25,27,29

Ben used wrong the Pythagorean's theorem, the solution that he should have got is x = 2√5

The Pythagorean's theorem says that for a right triangle, the sum of the squares of the cathetus is equal to the square of the hypotenus.

Then the rule that Ben should have written is:

x² + 4² = 6²

So he started wrong.

Solving that we will get:

x = √(6² - 4²) = √20 = 2√5

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Answer:

0.64 cents

Step-by-step explanation:

5.76 divided by 9 = 0.64 so if there are 9 potatoes then each one costs 0.64 cents

Hope this helps, leave any questions in the comments please.

Unit vectors for equilateral triangle sides: pq is 〈1,0〉, qp is 〈-0.5,√3/2〉, rq is 〈-0.5,-√3/2〉. Sum is zero vector.

a) The equilateral triangle has rotational symmetry of 120 degrees, so the unit vectors in the direction of each of the sides can be obtained by rotating the unit vector in the direction of pq by 120 degrees in the counter-clockwise direction.

Using 2D rotation matrix, the unit vector in the direction of qp can be obtained as 〈cos(120), sin(120)〉 = 〈-0.5, √3/2〉.

Similarly, the unit vector in the direction of rq can be obtained as 〈cos(240), sin(240)〉 = 〈-0.5, -√3/2〉.

b) To verify that the three unit vectors sum to the zero vector, we add up the vectors:

〈1,0〉 + 〈-0.5, √3/2〉 + 〈-0.5, -√3/2〉 = 〈0,0〉.

Thus, the three unit vectors sum to the zero vector as required.

Complete Question:

let 4pqr be the equilateral triangle illustrated below. a unit vector in the direction of −→pq is 〈1,0〉.

(a) Find unit vectors in the directions of and Qi)

(b) Verify that the three unit vectors you found in part (a) sum to the zero vector.

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False. In a two-factor ANOVA, if two significant main effects emerge, it does not necessarily mean that the interaction between factors is significant. Main effects and interaction effects are independent of each other and can have different levels of significance.

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The presence of significant main effects does not necessarily indicate a significant interaction between factors in a two-factor ANOVA. It is possible for there to be significant main effects without a significant interaction.

Therefore, it is important to examine both the main effects and the interaction effects in a two-factor ANOVA to fully understand the relationship between the variables being studied.
False

In a two-factor ANOVA, there are three possible significant effects: two main effects for each factor and one interaction effect between the factors. When two significant main effects emerge, it means that there are significant differences in the levels of both factors. However, this does not automatically mean that the interaction between the factors must also be significant. The interaction effect is an entirely separate effect and can be significant or non-significant regardless of the significance of the main effects.

If two significant main effects emerge in a two-factor ANOVA, it does not necessarily mean that the interaction between factors must be significant.

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l

\(x1 = 8 \\ x2 = - 4\)

The use of meta-matrices mean in data analysis enables researchers to synthesize and interpret diverse sources of information, facilitating a deeper understanding of the research topic or question.

In the context of data analysis, the use of meta-matrices mean involves combining and integrating qualitative and quantitative data into a single matrix or framework. Meta-matrices are used to summarize and analyze multiple data sources, such as different studies, research articles, or datasets, in order to identify patterns, themes, or relationships across the data.

The meta-matrices mean specifically refers to the process of calculating the average or mean values across multiple meta-matrices. This can be done by aggregating the data from different sources and summarizing them using statistical measures such as means, medians, or proportions.

The use of meta-matrices mean allows researchers to gain a comprehensive understanding of the data by considering both qualitative and quantitative aspects. It helps to provide a more holistic view of the phenomenon under investigation and can uncover insights that may not be apparent when analyzing the data separately. By integrating data from various sources, researchers can identify commonalities, differences, and trends, and draw more robust conclusions.

Overall, the use of meta-matrices mean in data analysis enables researchers to synthesize and interpret diverse sources of information, facilitating a deeper understanding of the research topic or question.

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Answer:

1.54

Step-by-step explanation:

First, we can take into account that mean = sum / number of students. Therefore, we can find the sum of each group of students, as

1.67 = sum / 20

1.50 = sum / 16

1.40 = sum / 14

Multiplying each equation by the number of students in the group to isolate the sum, we get

1.67 * 20 = 33.4

1.50 * 16 = 24

1.40 * 14 = 19.6

We can sum these up to get the total sum of all three groups of students, resulting in

33.4 + 24 + 19.6 = 77

As mean = sum / number of students, we can say that

total mean = total sum / total number of students

total mean = 77 / (20+16+14)

= 77/50

= 1.54

Answer:

18817

Step-by-step explanation:

The down payment on the house will be $18,817.50.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Given, someone is purchasing a house that cost $125,450. The down payment on that house is 15%.

therefore downpayment of house = 15% of full payment

downpayment of house = 15% * 125,450

downpayment of house = 15* 125,450 / 100

downpayment of house = 18, 817.50

therefore, There will be a down payment of $18,817.50 on the home.

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Answer:

7,9,10

Step-by-step explanation:

Answer: The answer is C

The MAD of set 1 is 10.5 less than the MAD of set 2

Step-by-step explanation:

I took the test and got it right

A normal probability plot (also known as a normal plot or a probability plot) is a graphical tool that can be used to assess whether a set of data follows a normal distribution.

When the data being plotted follows a normal distribution, the points on the plot will appear roughly linear, with deviations from linearity being relatively minor. In other words, the plot will form a straight line.

If the plot deviates significantly from a straight line, it suggests that the data may not be normally distributed. The shape of the plot can indicate whether the data is skewed or has heavy tails compared to a normal distribution.

Therefore, a normal probability plot appearing linear indicates that the data follows a normal distribution. It is important to note that this is only one way to check for normality, and it is always recommended to use multiple methods to verify the normality assumption before applying statistical tests that assume normality.

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Answer:

Step-by-step explanation:

Measure the angle between the lines

It should be 90 degrees,

Answer:

300 beats in 5 minutes

180/3

180/3=60   3/3=1

60/1*5

60*5=300

1*5=5

300/5

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

180 divided by 3 = 60

60 times in 1 minutes  

60 times 5 = 300

Answer = heart beats 300 times in 5 minutes

There are infinitely many trace lines that can be drawn for the plane 2x + 4z = 5.

The equation of the plane is given as 2x + 4z = 5. To visualize the trace lines, we can rewrite the equation in slope-intercept form:

2x + 4z = 5

4z = -2x + 5

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

Now we can see that the equation represents a plane in three-dimensional space. Each point (x, y, z) on the plane satisfies the equation. Since there are infinitely many values of x and z that satisfy the equation, there are infinitely many points on the plane.

Therefore, there are infinitely many trace lines that can be drawn for the plane 2x + 4z = 5, as each line can be represented by different combinations of x and z that satisfy the equation.

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Answer:

0 or 2i

Step-by-step explanation:

I said zero because it is time zero but the times zero is before the x i x 2 so it could possibly be 2i.

Answer:

The answer is zero

Step-by-step explanation:

A total of 3 comparisons are required to find 42 using binary search in this particular array.

In binary search, the number of comparisons required to find a target value depends on the size of the array and the position of the target value within the array.

In this case, we have an array with 13 elements. In the first comparison, we compare the target value (42) with the middle element of the array.

The first comparison: 42 is compared with the middle element 8.

Since 42 is greater than 8, we can eliminate the first half of the array and continue the search in the second half. Now we have an array with 6 elements.

The second comparison: 42 is compared with the middle element 21.

Since 42 is greater than 21, we can again eliminate the first half of the remaining array and continue the search in the second half. Now we have an array with 3 elements.

The third comparison: 42 is compared with the middle element 42.

We have found the target value in the third comparison.

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The coordinates of B is (2, -4).

The coordinates of C is (-2, 4).

The coordinates of D is (5, 8).

The coordinates of E is (-2, -4).

In Mathematics and Geometry, a reflection over the x-axis is represented by this transformation rule (x, y) → (x, -y). Therefore, a reflection over or across the x-axis would maintain the same x-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

For a reflection over the x-axis, the new coordinates of A is given by:

(x, y)            →      (x, -y)

A (2, 4)      →      (2, -(4)) = B (2, -4)

For a reflection over the y-axis, the new coordinates of A is given by:

(x, y)            →      (-x, y)

A (2, 4)      →      (-(2), 4) = C (-2, 4)

By applying a translation, the new coordinates of A is given by:

(x, y)            →      (x + 3, y + 4)

A (2, 4)      →      (2 + 3, 4 + 4) = D (5, 8)

By applying a rotation 180° clockwise, the new coordinates of A is given by:

(x, y)            →      (-x, -y)

A (2, 4)      →      (-(2), -(4)) = E (-2, -4)

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3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420198938095257201065485863278865936153381827968230301952035301852968995773622599413891249721775283479131515574857242454150695950829533116861727855889075098381754637464939319255060400927701671139009848824012858361603563707660104710181942955596198946767837449448255379774726847104047534646208046684259069491293313677028989152104752162056966024058038150193511253382430035587640247496473263914199272604269922796782354781636009341721641219924586315030286182974555706749838505494588586926995690927210797509302955321165344987202755960236480665499119881834797753566369807426542527862551818417574672890977772793800081647060016145249192173217214772350141441973568548161361157352552133475741849468438523323907394143334547762416862518983569485562099219222184272550254256887671790494601653466804988627232791786085784383827967976681454100953883786360950680064225125205117392984896084128488626945604241965285022210661186306744278622039194945047123713786960956364371917287467764657573962413890865832645995813390478027590099465764078951269468398352595709825822620522489407726719478268482601

Each expression in fully factored form. (3 marks)a) \(x(y + 1) + 4(y + 1) = (y + 1)(x + 4)b) 3x(a + b) - y(a + b) = (a + b)(3x - y)c) 4y(y + 3) + (y + 3) = (y + 3)(4y + 1)\)

\(Factor 5x + 35 = 5(x + 7).b) Factor 3x + 9xy + 6xz = 3(x + 3y + 2z).c) Factor - 12x²y² + 3xy³ - 15x³y = - 3xy(4xy - y² + 5x²).d) Factor 14x - 8y = 2(7x - 4y).e) Factor 8x² + 32y³ = 8(x² + 4y³).f) Factor 10a + 5a² - 25a³ = 5a(2 + a - 5a²\)).Fully factored form is obtained when you express a polynomial as a product of two or more factors, none of which can be factored further.1. Factor each polynomial. (1 mark each)a) 5x + 35 = 5(x + 7)

(Common factor 5)b)\(3x + 9xy + 6xz = 3(x + 3y + 2z) (Common factor 3)c) - 12x²y² + 3xy³ - 15x³y = - 3xy(4xy - y² + 5x²) (Common factor 3xy)d) 14x - 8y = 2(7x - 4y) (Common factor 2)e) 8x² + 32y³ = 8(x² + 4y³)\)(Common factor 8)f) 10a + 5a² - 25a³ = 5a(2 + a - 5a²) (Common factor 5a)2.

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\(\large\rm{Problem:}\)

Customers per day:

98, 87, 93, 82, 101, 99, 97, 97, 91

Find the mean to the nearest tenth:

\(\large\rm{Solution:}\)

Mean = \( \tt \frac{sum \: of \: data}{number \: of \: data}\)

\( \tt \frac{98 + 87 + 93 + 82 + 101 + 99 + 97 + 97 + 91}{9} = \frac{845}{9} = \green{93.89}\)

Therefore, the mean is 93.89

The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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If 8% of the total workforce is 24 employees, we can set up a proportion to find the total number of employees in the company:

8/100 = 24/x

where x is the total number of employees.

To solve for x, we can cross-multiply:

8x = 24 * 100

8x = 2400

x = 2400/8

x = 300

Therefore, Imperial Hardware has a total of 300 employees.

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Actor Albert Brook changed his surname to Albert Einstein to avoid sharing it with another well-known Al. Option C

In 1921, Albert Einstein received the Physics Nobel Prize in honor of his contributions to theoretical physics, particularly the creation of the law of the photoelectric effect. Despite moving to Switzerland in 1895 and giving up his German nationality the following year to become a citizen of the County of Württemberg, Einstein was born within the boundaries of the German Empire.

He enrolled in the program for teaching diplomas in physics and mathematics at the Swiss Federal University of Technology School in Zürich in 1897 as a 17-year-old, and he completed it in 1900.

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Answer:

See attachment.  7 and 24 (units not given)

Step-by-step explanation:

The sides of a right triangle will follow the Pythagorean Theorem:

A^2 + B^2 = C^2

We are given some options, so let's start with assuming the hypotenuse, C, is the largest of the numbers and see if we can find two smaller lengths that, when squared, will equal the square of the hypotenuse.

25^2 = 625

The other squares:

4^2    =   16

7^2    =   49

12^2   = 144

24^2  = 576

I quickly note that the 49 and 576 come close (or exactly) to the 625 we need, and the sum of their last digits results in a 5, so add them:

567

49

625

Therefore, the two sides are  7 and 24 (units, such as cm, m, feet, etc,)

If two numbers couldn't be found that meet the criteria, go to the next lowest number for the hypotenuse and repeat the process.

Answer:

\( {3}^{x} = {9}^{y} - - - eqn(i) \\ 4 ^{xy} = {2}^{x - 2} - - - eqn(ii) \\ from \: (i) \: introduce \: log_{10}\: \: \\ log( {3}^{x} ) = log( {9}^{y} ) \\ x log(3) = y log(9) \\ x log(3) = 2y log(3) \\ x = 2y - - - eqn(iii) \\ substitute \: for \: x \: in \: eqn(ii) \\ {4}^{ {2y}^{2} } = {2}^{2(y - 1)} \\ {4}^{ {2y}^{2} } = {4}^{(y - 1)} \\ from \: indice \: laws \\ {2}^{ {y}^{2} } = y - 1 \\ introduce \: log_{10} \\ {y}^{2} log(2) = log(y) - log(1) \\ log(2) = {y}^{ - 2} log (y \: - \: 1) \\ {y}^{ - 2} (2 - y - 1) = 10 \\ \frac{2}{ {y}^{2} } - \frac{1}{y} - \frac{1}{ {y}^{2} } = 10 \\ 1 - y = 10 {y}^{2} \\ 10 {y}^{2} + y - 1 = 0 \\ \)

hope that step is enough to give you the two values of y, coz I gat no calc here with me.

hint: use the quadratic equation