A translation maps the point A(-4,7) to the point A'(6,11). Which of the following are the B cordinates of the point B
(4,15) under the same translation

A₂ₓ₃ matrix and B₃ₓ₄ matrix, The dimension of the matrix AB obtained by multiplying A and B will be AB₂ₓ₄.

Matrices represent data in the form of rows and columns in an array form.

Suppose we have two matrices and their multiplication is possible only when the no. of columns in the first matrix is equal to the no. of rows in the second matrix.

Let A₂ₓ₃ matrix and B₃ₓ₄ matrix, Then the dimension of the matrix AB obtained by multiplying A and B will be AB₂ₓ₄.

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On solving the provided question we got to know that, the median value won't change if the greatest sample Observation is decreased to 1.3735.

One of three ways to gauge central tendency is the median. The center position of a record is specified when describing it. A measure of central tendency is what this is. The mean, median, and mode are the three most frequently used indicators of central tendency.

The sum of all the values is divided by the total number of values, giving the mean value.

[tex]0.736 + 0.863 + 0.865 + 0.913 + 0.915 + 0.937 + 0.983 + 1.001 + 1.011 + 1.064 + 1.109 + 1.132 + 1.140 + 1.153 + 1.253 + 1.397 = 16.472\\16.472 /16 = 1.0295\\1.0295 is the mean value[/tex]

The number near the middle of the point is the median value. At the halfway point, there are two values.

[tex](1.001 + 1.011) / 2 = 1.006\\ 1.006 is the median value.[/tex]

As a result, the median value, which depicts the middle value of the numbers in the result, is less than the mean value, which depicts the real middle value of the numbers if they were equally distributed.

Their difference is that 1.0295 - 1.006 = 0.0235

1.397 observations make up the biggest sample. It may be made smaller by taking the number and removing the difference between the mean and median.

Consequently, there is a 0.0235-point difference between the mean and median.

Therefore;

[tex]1.397 - 0.0235 = 1.3735[/tex]

The median value won't change if the greatest sample Observation is decreased to 1.3735.

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Answer:

Step-by-step explanation:

2 and 2 equal 5

The positive integers that meet the requirement that the product of their digits be 120 are: 1546, 1564, 1456, 1465, 1654, 1645, 6145, 6154, 6451, 6415, 6541, 6514, 4156, 4165, 4561, 4516, 4651, 4615, 5146, 5164, 5461, 5416, 5614, and 5641.

To find the integer numbers that meet the aforementioned requirement that the product of its digits be 120, we must take a positive 4-digit integer number and multiply its digits until obtaining the result of 120.

In this case, the four digits would be 1456. So, we must find all the four-digit numbers that are made up of these numbers, the numbers are shown below:

1546, 1564, 1456, 1465, 1654, 1645, 6145, 6154, 6451, 6415, 6541, 6514, 4156, 4165, 4561, 4516, 4651, 4615, 5146, 5164, 5 4161, and 5 614, and 4

Finally, we can check it with any of the numbers and the result will be 120 because the order of the factors does not change the result.

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a) Combining like terms (7a + 10b) − (4a − 6b) = 3a + 16b
b) The Simplify expression −5x + 8y + 2x − 3y the answer is -3x + 5y
c) The inequality x - 4 ≤ -1 Graph is given below.

What do you mean by algebraic expression?

When addition, subtraction, multiplication, division, and other mathematical operations are performed on variables and constants, the result is a mathematical statement known as an algebraic expression.

Any combination of terms that have undergone operations like addition, subtraction, multiplication, division, etc. is known as an algebraic expression (or variable expression).

An algebraic expression is composed of various parts.

a) Given expression:

(7a + 10b) - (4a - 6b)

= 7a + 10b - 4a + 6b

On combining like terms we get,

(7a - 4a) + (10b + 6b)

= 3a + 16b

Therefore, (7a + 10b) − (4a − 6b) = 3a + 16b

b) Given expression :

−5x + 8y + 2x − 3y

On combining like terms we get,

-5x + 2x + 8y - 3y

= (-5x + 2x) + (8y - 3y)

= -3x + 5y

therefore, −5x + 8y + 2x − 3y  = -3x + 5y

c) Given expression:

x - 4 ≤ -1

⇒ x ≤ -1 + 4

⇒ x ≤ 3

Graph of the function is given below:

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The probability that one of the following numbers is rolled is 0.135.

We are provided a 37 sided dice. Hence, each of the number between 1 to 37 can be rolled. Now, to find the probability of rolling any of these five numbers, we will simply perform the multiplication.

The formula to be used for calculation of probability to roll any one number on the dice -

Probability = number of favourable outcomes ÷ total number of outcomes

Keep the values in formula

Probability = 1/37

Now, for the mentioned five numbers among which any can be rolled, the probability is -

Probability = 5 × (1/37)

Performing multiplication

Probability = 5/37

Performing division

Probability = 0.135

Hence, the probability is 0.135.

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Answer: 108

Step-by-step explanation:
8.78x12.356=108.48568 so the estimate would be 108

Answer:

they ran the same speed as each other c

Answer:

Q1. The sum of your hat size and shoe size is 54.

Q2. The correct answer is 101.

Q3. The correct answer is 6561.

Step-by-step explanation:

Q1. Let's call the size of your hat H and the size of your shoe S. You can set up the following equation based on the given information:

H = 2S

H = S + 18

Substituting the first equation into the second equation, we get:

2S = S + 18

S = 18

Then, substituting this value back into the first equation, we get:

H = 2S

H = 2 * 18

H = 36

The sum of your hat size and shoe size is S + H = 18 + 36 = 54.

Q2. The least 3-digit odd sum of two prime numbers is 101, which can be achieved by adding the two prime numbers 2 and 99. Both 2 and 99 are prime numbers, and their sum is 101, which is a 3-digit odd number.

Q3. The greatest possible product of the ones digits of 4 numbers is 6561, which can be achieved by choosing the numbers 9901, 9911, 9921, and 9931. The ones digits of these numbers are 1, 1, 1, and 1, respectively, and their product is 6561.

Using Poisson distribution to calculate the probability distribution of the event, the probability is 0.2084

Probability is the measure of how likely an event is to occur. It is expressed as a number between 0 and 1, where 0 indicates an impossibility and 1 indicates a certainty.

A probability distribution is a mathematical function that describes the likelihood of a random variable taking on a particular value or set of values. It is used to describe the behavior of random variables, either discrete (e.g. coin flips) or continuous (e.g. temperatures), and is often used in the field of statistics to predict the behavior of a system or process.

Using Poisson distribution;

P(X ≥ 5) = 1 - P(X ≤ 4)

P= 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4))

P= 1 - (e^(-4.615) + (4.615*e^(-4.615))/1! + (4.615^2*e^(-4.615))/2! + (4.615^3*e^(-4.615))/3! + (4.615^4*e^(-4.615))/4!)

P = 0.2084

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Katie runs fastest among all .

What is the units of conversion ?

Unit of Conversion is a multi-step process involving multiplication or division by a numerical factor.

Given:

Speed of Adam = 13 feet per second

Speed of Stephanie = 199 feet in 17 seconds

Speed of Noah = 1 mile in 592 seconds

Speed of Katie = 878 feet in 1 minute

Now on converting all the units to one single unit,we get  

1 mile = 5280 feet

1 minute = 60 seconds

Speed of Adam = 13 feet per second

Speed of Stephanie = 199 feet in 17 seconds

                                 = [tex]\frac{199}{17}[/tex] feet per second

                                 = 11.705 feet per second

Speed of Noah = 1 mile in 592 seconds

                         = 5280 feet in 592 seconds

                         = [tex]\frac{5280}{592}[/tex] feet per second

                        = 8.919 feet per second

Speed of Katie = 878 feet in 1 minute

                         = 878 feet in 60 seconds

                         = [tex]\frac{878}{60}[/tex] feet per second

                         = 14.6333 feet per second

Hence ,Katie runs fastest among all sice its speed is the highest .

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The complete type of bipartite graphs ,[tex]K_{n.n}[/tex] and [tex]K_{n.n+1}[/tex] will have the maximum possible of all number incliding edges among all the present triangle-free nodes i.e., graphs with all same number of vertices.

Approach: The wide variety of edges can be most whilst each vertex of a given set has an aspect to each different vertex of the opposite set i.e. edges = m * n in which m and n are the wide variety of edges in each the sets. that allows you to maximize the wide variety of edges, m need to be same to or as near n as possible.

The two main sets are X = {A, C}, Y = {B, D}.

The vertices for the given set X join, with the vertices Y and vice-versa.

Similar proposition will always holds for bipartite planar type of  graphs: any n-vertex bipartite  graph (n ≥ 3) includes at most 2n − four edges, moreover, each n-vertex bipartite planar graph may be prolonged to an n-vertex bipartite planar graph with 2n − four edges.

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Correct Question:

Among what g will have a complete bipartite graphs  [tex]K_{n.n}[/tex] and [tex]K_{n.n+1}[/tex] have the maximum possible number of edges among it.

4.65 kg the mass of each item (assuming the bag's mass is negligible). (Sand density is 3.00 g/cm3, while the density of gold is 19.3 g/cm3)

Given that,

A gold statue that is perched on a pedestal with a weight-sensitive alarm is replaced by a thief using a bag of sand. The statue and the bag of sand have the exact same volume, 1.55 L.

We have to calculate the mass of each item (assuming the bag's mass is negligible). (Sand density is 3.00 g/cm3, while the density of gold is 19.3 g/cm3)

We know that,

Mass of gold = Volume × Density

= 1.55×1000 cc × 19.3

= 29915 grams

= 29.915 Kg

Mass of sand = 1.55×1000×3

= 4650g

= 4.65 Kg

Volume = 1.55 L

= 1.55 × 1000 cc

= 1550 cc

Mass = Volume × Density

Mass of gold = 1550 × 19.3

= 29915 grams

= 29.915 kg

Mass of sand = 1550 × 3

= 4650 grams

= 4.65 kg

Therefore, 4.65 kg the mass of each item (assuming the bag's mass is negligible). (Sand density is 3.00 g/cm3, while the density of gold is 19.3 g/cm3)

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The percentage of 35 percent of 80 is 28

In mathematics, a percentage (from Latin: per centum, "by a hundred") is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number (pure number); it has no unit of measurement.

For example, 45% (read as "forty-five per cent") is equal to the fraction

45/100, the ratio 45:55 (or 45:100 when comparing to the total rather than the other portion), or 0.45. Percentages are often used to express a proportionate part of a total.

The percentage of 35 percent of 80 is

= [tex]\frac{35}{100}[/tex]× 80

=28

The percentage of 35 percent of 80 is 28

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The unknown angle measures are 51.5° and 51.5° respectively.

What is an isosceles triangle?

An isosceles triangle in geometry is a triangle with two equal-length sides.

Given, side DE = side EF

Then, ∠D = ∠F

So, the sum of all angles of the triangle = 180°

or, ∠D + ∠E + ∠F = 180°

or, ∠F + 77° + ∠F = 180°

or, 2∠F = 180° - 77°

or, ∠F = 103/2 = 51.5°

And, ∠D = 51.5°

Hence, the unknown angle measures are 51.5° and 51.5° respectively.

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First convert 50 mm into cm : 5

base :9

height :5

formula of traingle= ½*(b*h)

.'. ½* (9*5)

½*45

.'. area : 22.5 cm²

Answer:

55

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to fill a table using the given rules, then describe the relationship between the table values.

Starting with 100, you want to subtract 20 to get next terms:

  100

  100 -20 = 80

  80 -20 = 60

  60 -20 = 40

The next terms are 80, 60, 40.

Starting with 20, you want to subtract 4 to get next terms:

  20

  20 -4 = 16

  16 -4 = 12

  12 -4 = 8

The next terms are 16, 12, 8.

Looking at second terms, we can determine which description is true:

  80 -80 = 0 ≠ 16 . . . . . the description "subtract 80" fails

  80/5 = 16 . . . . . . . . . . the description "divide by 5" works

Each term in pattern B can be found by dividing the corresponding term in pattern A by 5.

In an isosceles triangle, the angle opposite the base is referred to as the vertex angle.

A triangle refers to a two-dimensional shape which comprises of three sides and three angles. The isosceles triangle is a type of triangle in which two sides are congruent i.e., they are the same length. The third side of an isosceles triangle is of different length and is referred to as the base. The three angles of any triangle add up to a sum of 180°. In isosceles triangles, the two angles located along the base are referred to as the base angles which are always congruent, or equal. The angle opposite the base is referred to as the vertex angle and is different value from the two base angles. The value for the vertex angle can always be calculated by subtracting the base angles from 180° using the general formula: 180° - 2B = A, where B refers to the base angle and A is the vertex angle.

Note: The question is incomplete. The complete question probably is: Which is the vertex angle of an isosceles triangle.

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Since the initial displacement is made by s0 and body moves with initial velocity and acceleration after that, the final displacement after time t is

[tex]s= \frac {1}{2} at ^{2} + v_{0}t+s_{0}[/tex]

The displacement is only the difference between the locations of the two marks and is unrelated to the route used to get there.

The formula is:

[tex]a= \frac {Velocity}{Time}[/tex] (Acceleration)

[tex]v= \frac {Displacement}{Time}[/tex](Velocity)

Initial Displacement = s0

Displacement from position s0 after time t  = [tex]\frac {1}{2} at ^{2} + v_{0}t[/tex]

Total Final Displacement (s) = [tex]\frac {1}{2} at ^{2} + v_{0}t+s_{0}[/tex]

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The mass of the heaviest puppy is three times greater than the mass of the lightest puppy.

The number of dots for each input of the dot plot shows the number of times that each measure appears in the data-set.

For example, two dots means that the measure appears twice in the data-set.

From the description of the dot plot, the masses are given as follows:

1/4, 1/2, 1/2, 1/2, 1/2, 3/4, 3/4, 3/4.

Then the masses of the lightest and of the heaviest puppy are given as follows:

The ratio of these masses is given as follows:

3/4/(1/4) = 3/4 x 4 = 3.

(division of fractions, the numerator is multiplied by the inverse of the denominator).

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If other factors are held constant, which set of sample characteristics is most likely to lead a researcher to reject a null hypothesis stating that µ = 80 then s2 = 18 and C. M = 85

The standard deviation (s2) is a measure of the variability of the sample data, while the mean (M) is a measure of the central tendency. The higher the mean and the higher the standard deviation, the more likely it is that the null hypothesis will be rejected. Therefore, the set of sample characteristics that is most likely to lead to a rejection of the null hypothesis is M = 85 and s2 = 18.

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Answer:

here this should help you

Answer: They always have one pair of parallel lines.

Step-by-step explanation:

Answer:

7/9

Step-by-step explanation:

Using vieta's formulas, we know that a + b = 4 and ab = -6.

1/a^2 + 1/b^2 can be written as (a^2 + b^2)/a^2b^2.

(a^2 + b^2)/a^2b^2 can be written as (a+b)^2 - 2ab/(a^2)(b^2)

{4^2 - 2(-6)}/(-6)^2 = 28/36 = 7/9

The special segments of a triangle are median, altitude, perpendicular bisector, angle bisector, and mid-segment.

A line segment that establishes a special relationship with the existing segments of a geometrical shape is said to be a special segment.

Using this special segment, we can able to find the other characteristics of the geometry (a triangle or a circle, etc.)

The special segments in a triangle are:

1) Altitude 2) Median 3) Perpendicular bisector and 4) Angle bisector

Altitude: This line segment whose one end starts at one of the vertexes of the triangle and the other end is perpendicular to the opposite side of the triangle.

The point of intersection of three altitudes of a triangle forms an "Orthocenter".

Median: This line segment whose one end starts at one of the vertexes of a triangle and the other end meets at the midpoint of the opposite side.

The point of intersection of three medians of a triangle forms a "Centroid".

Perpendicular bisectors: These line segments whose ends bisect the two sides of the triangle perpendicularly.

The point of intersection of perpendicular bisectors of a triangle form a "Circumcenter".

Angle bisector: This line segment bisects the angle of the triangle and divides the angle into exactly two halves.

The point of intersection of angle bisectors of a triangle form an "Incenter".

We have one more special segment in a triangle i.e., a midsegment. This line connects two midpoints of opposite sides of a triangle and becomes parallel to the third side.

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The new value of  correlation will be 0.20.

What is correlation?

The strength and direction of a relationship between two or more variables are described by the statistical measure of correlation, which is given as a number. However, a correlation between two variables does not necessarily imply that a change in one variable is the reason for a change in the values of the other.

Given that the size of the sample is n = 15.

The correlation is r = 0.20.

The degree of the association between two measurement variables is quantified and determined via correlation analysis. Regression aims to describe the relationship as an equation at the same time. For patients who visit an emergency room (ED), for instance, we could use correlation and regression.

The correlation coefficient is unaffected by the change of origin.

Thus r = 0.20.

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Answer:

The error is when 6y = 12 it will be -6y = 12 and the intercept would be -2.

Step-by-step explanation:

Answer:

98

Step-by-step explanation: