Kim plays a card game with the children. She gives Gareth a card.
Gareth has to guess whether his card is higher or lower than 5 Kim tells him
• there are 10 cards higher than 5
• there are 4 cards lower than 5
Gareth thinks he should guess higher than 5
b) Is Gareth correct?
Explain why you think this.

∠LMN is an obtuse angle.

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

Explanation

Let's go through the answer choices to see which are true, and which are false.

E

Step-by-step explanation:

volume of big shape + volume of small shape

(9+6×5)+(6×3×2)

=306

Answer:

it is 52 i did this ireafy before

Answer:

28 in^2

Step-by-step explanation:

overall face area =10x4=40

cutout area=6x2=12

40-12=28 in^2

The correct solution of the expression 3/4 ( 6x - 4) = 1/2 (x + 4) with the property that justify each step is shown below.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 3/4 ( 6x - 4) = 1/2 (x + 4)

Now, Solve the expression as;

⇒ 3/4 ( 6x - 4) = 1/2 (x + 4)

⇒ 9/2x - 3 = 1/2x + 2                        By Distributive property

⇒ 9/2x - 3 - 1/2x = 1/2x + 2 - 1/2x     Subtraction property of equality

⇒ (9/2 - 1/2)x - 3 = 2                        Combine like terms

⇒ 4x - 3 = 2                                     Subtraction property

⇒ 4x - 3 + 3 = 2 + 3                         Addition property of equality

⇒ 4x = 5

⇒ 1/4 × 4x = 1/4 × 5                          Multiplication property of equality

⇒ x = 5/4

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(A×B)∩(A×C)={(1,4),(2,4),(3,4)}  

In mathematics, a set is a logically arranged group of items that can be represented in either set-builder or roster form. Sets are typically denoted by curly brackets; for instance, A = 1, 2, 3, 4 is a set. Check the set symbols here as well.

The various kinds of sets, symbols, and operations are described by the set theory.

Given,

A={1,2,3},B={3,4} and C={4,5,6}

A×B={(1,3),(1,4),(2,3),(2,4),(3,3),(3,4)}

A×C={(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)}

∴ (A×B)∩(A×C)={(1,4),(2,4),(3,4)}  

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Answer:

Step-by-step explanation:

yes

if you solve the equation,

5x+15=7x-11

26=2x

x=26/2=13

Answer:

-8cx−2x+5

Step-by-step explanation:

solve and evaluate expression

Answer:

hshd

Step-by-step explanation:

hhshahj

The tuxedo was rented for 4 days.

Let's start by assigning variables to the unknowns. Let "x" be the number of additional days rented, and "d" be the total number of days rented (including the first day).

From the given information, we know that the flat fee for the rental is $150, so the cost of the additional days is the total cost minus the flat fee, which is $300 - $150 = $150. We also know that the cost for each additional day is $50. Therefore, we can set up the equation:

$150 + $50x = $300

Subtracting $150 from both sides, we get:

$50x = $150

Dividing both sides by $50, we get:

x = 3

So the tuxedo was rented for 3 additional days, making the total number of days rented:

d = 1 + 3 = 4

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The answer is D: conjecture

The key words in the description are "look for a pattern and then form an educated guess." This suggests making a hypothesis or assumption based on the observed pattern, which is the definition of a conjecture.

The other answer choices are defined as follows:

A. conjugation - the act of changing a verb to agree with its subject

B. conjunction - a connecting word

C. congruence - the state of agreeing, matching, or coinciding

D. conjecture - an opinion or conclusion formed on the basis of incomplete information

So option D, conjecture, is the best match for forming an educated guess based on an observed pattern in induction.

You launch an object off a 55-foot cliff. If the object was launched at 85 feet/second,  64.23 feet/second long it will take for the object to hit the ground below. This can be solved using the concept of law of conservation of energy.

Three fundamental quantities all maintain their original values. Energy, momentum, and angular momentum are these. Energy is a conserved quantity, which could surprise you if you've read instances in previous pages, such the kinetic energy of charging elephants. The first law of thermodynamics, generally known as the law of conservation of energy, stipulates that the energy of a closed system must remain constant and cannot rise or fall on its own without external intervention.

Given that,

Height of the cliff, h= 55 Foot

Initial speed of the projectile, u = 85 m/s

Let, the projectile hit the ground with velocity "v"

Applying the law of conservation of energy,

mgh + 1/2 mu² = 1/2 mv²

or, m (gh + 1/2 u²) = 1/2 mv²

or, (gh + 1/2 u²) = 1/2 v²

or, 10 × 55 + (1/2 × (55)²) = 1/2 v²

or, 550 + 1512.5 = 1/2 v²

or, 2062.5 = 1/2 v²

or, 4125 = v²

or, v = 64.23 feet/second

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Answer: 2 perpendicular line and 180 degrees rotational symmetry

Step-by-step explanation:

I just did it

Answer:

2

Step-by-step explanation:

(n+1)!=1×2×...×(n-1)×n×(n+1)

6*(n-1)!=1×2×...×(n-1)

--> n×(n+1)=6

-->n=2

Copying the data set into another program allows you to leverage the capabilities of that program for Statistical analysis.

The provided data set can be copied into another program, such as a spreadsheet or a statistical software program, to perform various data analysis tasks. Let's explore some common operations that can be performed using the data set.

1. Descriptive Statistics: By copying the data set into a spreadsheet or statistical software, you can calculate various descriptive statistics, such as the mean, median, mode, standard deviation, and range of the data. These statistics provide insights into the central tendency, variability, and distribution of the data.

A

1   4

2   8

3   9

4   5

5   2

6   7

7   7

8   5

9   8

2. Data Visualization: Once the data set is copied, you can create visualizations to better understand the data. This can include bar charts, histograms, line plots, or box plots, depending on the nature of the data and the insights you want to gain.

3. Data Manipulation: Copying the data set into a spreadsheet allows you to manipulate and transform the data as needed. You can perform operations like sorting, filtering, grouping, and calculating new variables based on existing ones. This enables you to extract meaningful information from the data set.

4. Statistical Analysis: If you are using statistical software, you can conduct advanced statistical analyses on the data set. This may involve regression analysis, hypothesis testing, analysis of variance (ANOVA), or clustering techniques, depending on the specific research question or objective.

5. Data Integration: If you have additional data sets or variables related to the given data set, copying it into a program allows you to merge or join different data sets, thereby enriching the analysis and providing a more comprehensive understanding of the data.

Overall, copying the data set into another program empowers you to perform a wide range of data analysis tasks, enabling you to explore, understand, and draw meaningful insights from the data.

In summary, copying the data set into another program allows you to leverage the capabilities of that program for statistical analysis, calculations, and visualizations, enabling you to gain deeper insights and draw meaningful conclusions from the data.

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Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

(c) To determine the modes of the data set, identify the values that appear most frequently.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

A) -2x+2=-8

-2 -2

-2x = -10

/-2 /-2

x = 5

C)3y-9+y=6

4y-9= 6

+9 +9

4y = 15

/4 /4

y = 3.75

D) 9-(2+(-3y)) = 6+2y-(5+y)

9-(2-3y) = 6+2y-(5+y)

9-(2-3y) : 3y+7

6+2y-(5+y) : y+1

3y+7 = y+1

-7 -7

3y = y-6

-y -y

2y = -6

/2 /2

y = -3

There is no real solution for B However we can set it to 0

B) 4x+x-2 = 2x+8+3x

group like terms and add similar elements

5x-2 = 5x+8

+2 +2

5x = 5x + 10

/5x / 5x

0 = 10

Answer:

Answer below.

Step-by-step explanation:

The magic constant of the magic square is 42. That means the sum of every column, every file and every diagonal must add up to 42.

The first column has 10 + 11 = 21. We need 42 - 21 = 21 to place in the middle square.

The second row now has 21 + 14 = 35. We add 42 - 35 = 7 in the rightmost square.

The last column now has 7 + 18 = 25. We need 42 - 25 = 17 in the upper square.

Note the diagonal is correct with 11 + 14 +  17 = 42

The first row has 10 + 17 = 27. We need 42 - 27 = 15 more

Finally, the second column has 14 + 15 = 29. To complete 42, we need 42 - 29 = 13

Note the last row has 11 + 13 + 18 = 42.

The magic square is complete. We have attached an image with the completed square.

Therefore, the 3 patterns are
3,6,9,3,6,9            

Explanation:                      

Given that,

we will carry out the multiplications of succession  counting number by 3 and if there is more than a single digit answer .we add the digits.
we are looking for is a pattern for there single digit numerals.
carryout the plan                  

1x3=3→3
2x3=6→6
3x3=9→9
4x3=12→1+2=3
5x3=15→1+5=6
and so on
continue with some additional at terms.
6x3=18→1+8=9
7x3=21→2+1=3

∵ Therefore the 3 patterns are
3,6,9,3,6,9


A pattern is defined in mathematics as a sequence of repeating objects, shapes, or numbers. A pattern can be associated with any type of event or object. A pattern has a rule that tells us which objects belong to the pattern and which objects do not belong to the pattern.


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Therefore, the label represented by the rectangle in the figure is 62.4π square inches that is option D.

The lateral surface area of a three-dimensional object is the area of all its faces except for the top and bottom faces (i.e., the base(s) and the top(s)). In other words, it is the surface area of the object's lateral or side faces. The lateral surface area is typically used to describe the surface area of certain geometric solids such as cylinders, cones, and prisms. In the case of a cylinder, for example, the lateral surface area is the area of the curved side of the cylinder, excluding the top and bottom circular faces. For a cone, the lateral surface area is the area of the curved side of the cone, excluding the circular base.

Here,

From the given figure, we can see that the rectangle represents the lateral surface area of the cylinder, which can be calculated using the formula:

Lateral surface area = height x circumference

The circumference of the circle can be calculated as 2πr, where r is the radius. In this case, the radius is given as 4 inches. Therefore, the circumference is 2π(4) = 8π inches.

Substituting the given values, we get:

Lateral surface area = 7.8 x 8π

= 62.4π square inches

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9514 1404 393

Answer:

  ΔWZT ~ ΔWXY

Step-by-step explanation:

Angle XWY and angle ZWT are vertical angles, so congruent.

The sides on either side of those angles are proportional:

  WZ/WX = WT/WY

  11/22 = 10/20 = 1/2

so, we can claim similarity by the SAS Theorem.

  ΔWZT ~ ΔWXY

Answer:

f)  Same-side exterior angles

g)  Vertical angles

h)  None

i)  Corresponding angles

j)  Same-side interior angles

Step-by-step explanation:

Same-side exterior angles

When two lines are intersected by a transversal, the angles that are exterior to the two lines and on the same side of the transversal line are called "same-side exterior angles".

Vertical angles

When two straight lines intersect, two pairs of opposite vertical angles are formed.

Corresponding angles

When two lines are intersected by a transversal, the angles that are in the same relative position are called "corresponding angles".

Same-side interior angles

When two lines are intersected by a transversal, the angles that are interior to the two lines and on the same side of the transversal line are called "same-side interior angles".

Additive inverse property of real numbers was used to transition from step 3 to step 4

The property of real numbers used to transition from Step 3 to Step 4 is the additive inverse property or the property of adding the opposite. The additive inverse property states that for any real number a, there exists an additive inverse -a, such that a + (-a) = 0. In other words, adding the opposite of a number results in the sum being zero.

In Step 3 of the given expression, we have "12 + (-12) + 6x." Notice that "-12" is the opposite of "12." To simplify this expression further, we can apply the additive inverse property by combining the positive and negative numbers.

Adding 12 and its additive inverse (-12) results in 0, according to the additive inverse property. So, in Step 4, we replace "12 + (-12)" with "0." By applying the additive inverse property, the expression simplifies to "0 + 6x," which can be further simplified to just "6x."

The use of the additive inverse property is crucial in algebraic simplifications as it allows us to eliminate terms that add up to zero. This property helps streamline calculations and reduce complex expressions to simpler forms.

Overall, the transition from Step 3 to Step 4 in the given expression utilizes the additive inverse property to eliminate the sum of opposite numbers and simplify the expression to its final form, which is "6x."

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The number of ways that 4 books can be arranged on a shelf are= 24. That is option 2.

To calculate the number of ways 4 books can be arranged is the find the permutation.

That is ,

4! = 4×3×2×1

4! = 24

Therefore, the number of ways that 4 books can be arranged on a shelf are= 24

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Answer:

The coefficient of x is 2.

Step-by-step explanation:

1) Add the numbers

7y + 4x + 4 - 2x + 8

7y + 4x + 12 - 2x

2) Combine like terms

7y + 4x + 12 - 2x

7y + 2x + 12

3) Rearrange items

7y + 2x + 12

2x + 7y + 12

Answer: 0.2

happy learning

Answer:

a) 26

b) 26/3

Step-by-step explanation:

a)

1) First, you have to turn 4 1/3 into an improper fraction, so you get 13/3

2) Then you do 13/3 *6/1 =78/3 (so you multiply both numerators and denominators)

3) Lastly, 78/3 can be simplified as 26

b)

1) First you turn both fractions into improper fractions, so you get 13/5 and 10/3

2) Then you do 13/5*10/3 (so you multiply both numerators and denominators)

3) You get 130/15, which can be simplified as 26/3

The range of the repairs to the cars is 241.

The sample variance is 11, 671.33

The sample standard deviation would be 108.03.

Range = Maximum repair cost - Minimum repair cost

= 456 - 215

= 241

Find mean :

= (422 + 456 + 401 + 215) / 4

= 373. 5

Sample variance :

= Sum of ( each repair cost - mean ) ² / (Number of cars - 1)

= ( 2, 340.25 + 6, 812.25 + 756.25 + 25, 105.25 ) / ( 4 - 1 )

= 11, 671. 33

Sample standard deviation:

= √sample variance

= √11, 671. 33

= 108. 03

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Answer:

Follows are the solution to this question:

Step-by-step explanation:

Technician selects three out of 5 systems  

In C(5,3)=10ways, this can be achieved  

In part a:

Space sample chooses 3 of a 5 systems  

\((M_1, \ M_2,\ M_3),\)\((M_1,M_2,M_4) \ (M_1,M_2,M_5) \ (M_1,M_3,M_4) \ (M_1,M_3,M_5),\)\((M_1,M_4,M_5) \ (M_2,M_3,M_4)\ (M_2,M_3,M_5) \ (M_2,M_4,M_5),(M_3,M_4,M_5)}\)

In point b:

A =MODULE WHICH INCLUDE M1 minimal amount of effort  

Outcomes probable =

\((M_1,M_2,M_3),\ (M_1,M_2,M_4) \ (M_1,M_2,M_5)\ (M_1,M_3,M_4)\\\\(M_1,M_3,M_5),\ (M_1,M_4,M)5)\ =\ 6\)

\(\to p(A)=\frac{6}{10}\\\\\)

            \(=0.6\)

In point c:

B = highest effort that is \(M_5\)

Potential result=

\((M_1,M_2,M_5) \ (M_1,M_3,M_5) \ (M_2,M_3,M_5)\(M_2,M_4,M_5) \\ (M_2,M_4,M_5), \ (M_3,M_4,M_5) \ =\ 6 \\\\\)

\(\to B= \frac{6}{10} \\\\\)

        \(=0.6\)

\(\to P(B)=10\)

In point d:

\(\to \ A \ intersection \ B=(M_1,M_2,M_5), \ (M_1,M_3,M_5) \ ,(M_1,M_4,M_5)\)

\(\to A (A \ intersection \ B) = \frac{3}{10} \\\\\ \ \ \ \ \\)

                                      \(=0.3\)

In point e:

\(\to (A \cup B) = (M_1,M_2,M_3),\ (M_1,M_2,M_4)\ (M_1,M_2,M_5)(M_1,M_3,M_4)\ (M_1,M_3,M_5), \\ (M_1,M_4,M_5)\ (M_2,M_3,M_5) \ (M_2,M_4,M_5),(M_3,M_4,M_5) \ = \ 9\)\(\to P(A \cap B)=\frac{9}{10}\)

                    \(= 0.9\)

In point f:

\(\to (A\cap B) = \frac{3}{10}\)

                 \(= 0.3\)

In point g:

\(\to (A \cup B) = \frac{7}{10}\)

                 \(=0.7\)

In point h:

\(\to p(A \cap B) = 0.3 \neq 0\)

Answer:

$6.00

Explanation:

If you do 20x30% then the answer will be 6 and turn it into a decimal, it will be 6.00 and add the dollar sign and you will get the answer

value from least to greatest is

A<B<C<D

A fraction is a numerical quantity that represents a part of a whole or a ratio of two quantities. It is expressed in the form of one number, called the numerator, divided by another number, called the denominator, and is typically written as a/b, where "a" is the numerator and "b" is the denominator.

Part a)

Let 5.7 (bar on 7) be x

x=5.777777... .....(1)

Multiply the equation by 10,

10x=57.77777... ....(2)

(2)-(1),

9x=52

x=52/9=5.777777778

Partb)

Let 5.75 (bar on 75) be x

x=5.75757575... .....(1)

Multiply the equation by 100,

100x=575.75757575.. ....(2)

(2)-(1),

99x=569.99

x=190/33=5.757575758

Part c)

Let 5.75 (bar on 5) be x

x=5.7555555... .....(1)

Multiply the equation by 10,

10x=57.55555555... ....(2)

Multiply the equation by 10,

100x=575.5555.. ....(3)

(3)-(2),

90x=52

x=259/45=5.755555556

Hence, value from least to greatest is

A<B<C<D

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The answer of the given question based on the ordering from the least to greatest  the answer is the correct answer is (A) DBCA.

The decimal system is a number system that uses the base 10, meaning that there are 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) that can be used to represent any quantity. This system is also called the base-10 numeral system, denary system, or Hindu-Arabic numeral system.

In the decimal system, each digit represents a different power of 10. For example, in the number 357, the 7 represents the units, 5 represents the tens, and 3 represents the hundreds.

This system is widely used in everyday life, in which numbers are expressed in decimal form, such as money, time, and measurements. It is also used in mathematics, science, and engineering as the standard way of expressing numbers.

The correct order from least to greatest will be :

A. 5.7

D. 5.75

B. 5.75

C. 5.75

Therefore, the correct answer is (A) DBCA.

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