What are the subtypes of quantitative data (techniques)?

Using three equal subintervals and a right riemann sum, left riemann sum, and a midpoint sum is -6.4, 3.8, -1.0.

1) Integral with left end points:

         A-left = -3.4*2 + (-0.6)*2 + 0.8*2 = -6.4

2) Integral with right end points:

        A-right = -0.6*2 + 0.8*2 + 1.7*2 = 3.8

3) Integral with midpoints:

         A-mid = -2.2*2 + 0.2*2 + 1.5*2 = -1.0

A specific type of approximation of an integral by a finite sum in mathematics is known as a Riemann sum. It bears the name of the German mathematician Bernhard Riemann from the nineteenth century. Approximating the area of functions or lines on a graph, as well as the length of curves and other approximations, is a highly typical use.

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Answer:

4 * 5 * 6 = 120  possible meals can we order.

Step-by-step explanation:

given that-

If you go to a restaurant and there are 4 choices for main dishes, 5 choices for sides, and 6 choices for drinks

4 * 5 * 6 = 120 combinations or Ways to Order

we can order the main dish in 4 different ways. Then, we can choices for sides in 5 different ways and the drinks in 6 different ways.

(The outcome of the selection of the first does not influence the second or third)

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Answer:

Step-by-step explanation:

45/11 miles per day or ~4.091 miles per day

Step-by-step explanation:

3 inches per second

24 hours in a day

60 minutes in 1 hour

60 seconds in 1 minute

Amount of inches per minute: 3 x 60 = 180 inches

Amount of inches per hour: 180 x 60 = 10,800 inches

Amount of inches per day 10,800 x 24 = 259,200 inches

To find the number of feet that 259,200 inches is, divide by 12.

259,200/12 = 21,600 feet per day

To find the number of miles that 21,600 feet is, divide by 5280.

21,600/5280 = 45/11 = 4.09090909091 = ~ 4.091

So, an ant could walk 45/11 miles per day or ~4.091 miles per day if it walked without taking a break.

The area of the trapezoid is the amount of space on it, and the value of the area is 16.5 square cm

The given parameters are:

Parallel sides = 3cm and 8 cm

Height = 3cm

The area is then calculated using:

Area = 0.5 * (Sum of parallel sides) * Height

So, we have:

Area = 0.5 * (3 + 8) * 3

Evaluate

Area = 16.5

Hence, the area of the trapezoid is 16.5 square cm

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Answer:

63/24

Step-by-step explanation:

First you change the whole 2 to have a fraction of 48/24.

Next you have change 5/8 so its denominator has a 24. So you multiple the 8 by 3 to get 5/24. But then you have to multiply the 5 by 3 also so it is still the same fraction just bigger and you get 15/24. Now add the 15/24 with 48/24 to get 63/24.

Hope this helps!

In conclusion, the calculations below proves that since points B, C, H, I lie on a single circle, then O lies on this circle too.

The inscribed angle theorem states that the measure of an inscribed angle whose vertex lies on a circle is half of the intercepted arc subtended at a point on the circle.

Note: The point of concurrency of three altitudes in a triangle is referred to as orthocenter.

In triangle ABC, O is orthocenter. Thus, by applying the inscribed angle theorem to the circle, we have:

∠BOA = 2∠BAC.                ......equation 1.

Assuming H is orthocenter; Thus, the angle formed by angles BAC and BC at H are supplementary angles:

∠BAC + BHC = 180°.

BHC = 180° - ∠BAC.     ......equation 2.

Assuming I is incenter; Thus, the angle formed by BIC is given by:

∠BIC = 90° + ∠A/2.          ......equation 3.

Since points B, C, H, I lie on a single circle and the angles formed in the same side of an arc of a circle are equal, we have:

BIC = BHC                      ......equation 4.

Substituting the parameters into eqn. 4, we have;

180° - ∠BAC = 90° + ∠A/2.

∠BAC + ∠BAC/2 - 3∠BAC/2 = 180° - 90°

∠BAC = 90° × 2/3

∠BAC = 60°.

From eqn. 1, we have:

∠BOA = 2∠BAC.

∠BOA = 2 × 60

∠BOA = 120°.

In conclusion, this proves that since points B, C, H, I lie on a single circle, then O lies on this circle too.

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Perimeter of the parallelogram which points are E(7,-5), F(7, 2), G(4, 8), and H(4, 1) = 24 units.

There are 4 types of parallelograms, including 3 special types. The four types are parallelograms, squares, rectangles, and rhombuses.

A parallelogram is a shape with only two dimensions. It has four sides, two parallel pairs of which make up each side. The lengths of the parallel sides are also the same. The form is not a parallelogram if the lengths of the parallel sides are not equal.

Properties of parallelograms

Given points are

E(7,-5),

F(7, 2),

G(4, 8), and

H(4, 1)

Perimeter of the parallelogram EFGH=2(EF+FG)

Distance between two points(x₁ , y₁) and (x₂ , y₂ ) can be calculated using the formula  

√(x₂ - x₁ )² + (y₂ - y₁)²

Hence ,length of  EF =  

√(7 - 7  )² + (2 - (-5))²

=√49

=7units

And length of FG =

√(4 - 7  )² + (8 - 4)²

= √16 + 9

= √25

​=5units

Hence, Perimeter of  the  parallelogram EFGH=2(EF+FG)=2(5+7)=24units

We have form parallelogram EFGH. For the result see the attachment-

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Answer:

  27.4 units

Step-by-step explanation:

Given parallelogram EFGH with vertices E(7,-5), F(7, 2), G(4, 8), and H(4, 1), you want to know its perimeter.

The distance between two points can be found from their coordinates using the distance formula ...

  d = √((x2 -x1)² +(y2 -y1)²)

The distance between points F and G is ...

  d = √((4 -7)² +(8 -2)²) = √(9 +36) = √45 ≈ 6.708

The distance between points E and F will be the difference of their y-coordinates:

  d = √((7 -7)² +(2 -(-5))²) = √(0 +7²) = 7

Since opposite sides of a parallelogram are the same length, the perimeter is twice the sum of two adjacent sides:

  P = 2(EF +FG)

  P = 2(7 +6.708) = 2(13.708) = 27.416

The perimeter of EFGH is about 27.4 units.

Answer:

21 cubic inches (or cu. in)

Step-by-step explanation: Multiply 7 by three

Three non-isomorphic simple graphs with three vertices are given in the figure below.

The first is a complete graph, in which all three vertices are connected to each other. It is represented by a triangle shape.

The second graph is a graph with one vertex connected to the other two, it is represented by a line with two branches.

The third graph is a graph with no edges, it is represented by three isolated points.

Remember that two graphs are isomorphic if one can be transformed into the other by relabeling the vertices. It's important to note that these are the only three possible non-isomorphic simple graphs with three vertices.

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The number of seeds that Frank will plant, expressed in algebraic form, is equal to 6b + 10.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are Given that, b and (5b + 10) are the seeds to be planted by Frank in different gardens, the number of seeds Frank is going to plant can be expressed in algebraic form by adding both expressions together.

Since Like terms with the same variables are added together.

Thus:

b + 5b + 10

6b + 10

Therefore, the number of seeds that Frank will plant, expressed in algebraic form;

6b + 10.

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Answer:

(4, 11)

hope this helps

Answer:

192 / 30

Step-by-step explanation:

It should equal 6 and have 12 as a remainder! Hope this helps!

The average rate of change in weight is 3/8.

According to the statement

Weight of baby during birth = 3 kg

Weight of baby after 8 months = 6 kg

Average rate of change of in weight is calculated by

Average rate = Increased weight - Real weight / Time period

Average rate = 6-3 / 8

Average rate = 3/8

So, the average rate of change in weight is 3/8.

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Answer:

21?

Step-by-step explanation:

i think im not sure if its right

AnswerProbability = the number of wanted outcomes/the number of possible outcomes

The probability of drawing a green marble is  

number of green marbles/ total number of marbles in the bag

7/16

If you replace the marble each time, each time your chance of drawing green is 7/16.  If this is done 3 times, the probability is

(7/16)(7/16)(7/16) = 0.084

For not replacing green, there is no impact on the first draw, the probability of getting green on the first draw is still 7/16. If you do not replace, this means that there are no longer 16 marbles in the bag for the second draw, there are now 15.  And since you already drew one green one, there are no longer 7 green ones, there are now 6.  So probability for green on the second draw is 6/15.  If you draw a 3rd time and there isn't replacement,  there are no longer 15 marbles in the bag for the second draw, there are now 14. And since you already drew one green one, there are no longer 6 green ones, there are now 5. So probability for green on the third draw is 5/14.  Combining the 3 draws together:

(7/16)(6/15)(5/14) = 0.063

The probability of drawing 3 with replacement is higher than without.:

Answer:

Possible b that what I thank it is

Step-by-step explanation:

When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

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Answer:

6x^2-6x-6

Step-by-step explanation:

(x^2-3x+2)+(5x^2-3x-8)

x^2+5x^2-3x+(-3x)+2+(-8)

6x^2-3x-3x+2-8

6x^2-6x+2-8

6x^2-6x-6

Answer:

  f(x) = x +3

Step-by-step explanation:

The first differences for adjacent x-values are all 1, so this is a linear function. Because those differences are all 1, it is a linear function with a slope of 1. We observe that f(0) = 3, so that is the y-intercept.

__

The slope-intercept form of a linear function is ...

  y = mx + b . . . . . where m is the slope (1) and b is the y-intercept (3).

A suitable function rule is ...

  f(x) = x +3

Answer:

$0.28

Step-by-step explanation:

The blanks can be filled this way:

1. Multiply the radius by the height of the cylinder.

If given the diameter of the base, divide by 2 to find the radius.

Formula V = πr²h

2. Volume of cones: Formula V = V=1/3hπr²

3. Volume of spheres: Formula V = V = 4/3 π r³

To find the volume of a cylinder, you have to multiply the square of the radius with the height and pie. This formular is represented this way: V = πr²h.

Also, the volume of cones can be found by multiplying the heing, radius, and pie. The formula is given as V=1/3hπr². Finally, the volume a of sphere is found with the formula: 4/3 π r³.

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Answer: (-12,1)

Step-by-step explanation:
1. The point (-7,0) is first translated to the left 4 units. This will result in (-12,0).

2. The point is then translated one unit up, resulting in (-12,1).

The answer I Given

We want to find value of a and b when x = 10.

We are putting x = 10 in a and b.

So,

�

=

5

×

10

2

2

�

=

5

×

100

2

�

=

5

×

50

�

=

250

a=

2

5×10

2

a=

2

5×100

a=5×50

a=250

and

�

=

2

×

10

2

(

10

−

5

)

10

×

10

�

=

2

×

100

×

5

100

�

=

2

×

5

�

=

10

b=

10×10

2×10

2

(10−5)

b=

100

2×100×5

b=2×5

b=10

This is a problem of value putting part of Algebra.

Some important Algebra formulas:

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

The length of the QR is 16 cm when PQR ~MNO

In the given question, it is given that two similar triangles as PQR ~MNO

Then, the corresponding sides will be in equal proportion to each other as follows

PQ / MN = PR / MO = QR / NO

We need to find the length of the side QR

As above relations are given,

\(\frac{PQ}{MN}\) = \(\frac{PR}{MO}\) = \(\frac{QR}{NO}\)

\(\frac{30}{10}\) = \(\frac{5x + 7}{x+5}\) = \(\frac{4x}{\frac{16}{3} }\)

Equating all the fractions, equal to each we'll find

\(\frac{5x + 7}{x+5}\) = \(\frac{30}{10}\)

5x + 7 = 3(x +5)

5x + 7 = 3x + 15

2x = 8

x = 4

We know that, the length of the QR = 4x cm = 4 x 4 cm = 16 cm

Therefore, the length of the QR is 16 cm when PQR ~MNO

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Answer:

Step-by-step explanation:

horizontal line, because its y is always equal to 6

Answer:  M=2.4R

Step-by-step explanation:

If 24 dollars are collected for every 10 tickets we can find the cost of each ticket like so...

24/10=2.4

so now we can set up our equation...

M=2.4R

this means we get M amount of money for R number of tickets sold at a rate of $2.40 each.

Answer:

The copied triangle is congruent to the original triangle because a series of rigid transformations mapped one to the other. It follows that the corresponding sides and angles of the two triangles are also congruent.

Step-by-step explanation:

Answer:

The copied triangle is congruent to the original triangle because a series of rigid transformations mapped one to the other. It follows that the corresponding sides and angles of the two triangles are also congruent.

Step-by-step explanation:

complement angle meabs 90° so,

90° - 48°

= 42°

hence the complement angle of 48° is 42°

Answer:-63

Step-by-step explanation:

well first you would do 4-11 which is -7 and then -7x9=-63

Answer:

-63

Step-by-step explanation:

1. Subtract 11 from both sides:

\(\frac{x}{9} =-7\)

2. Multiply both sides by 9 to isolate x:

\((9)\frac{x}{9} =-7(9)\)

x = -63

hope this helps!