A class interval refers to:
a) the number of categories within a group of data
b) a division used for grouping a set of observations
c) the mean of the set of data
d) the range of ages among a group of students

The SI units for the quantities you mentioned are:

1. Length: The SI unit for length is the meter (m).

2. Mass: The SI unit for mass is the kilogram (kg).

3. Time: The SI unit for time is the second (s).

4. Electric current: The SI unit for electric current is the ampere (A).

5. Amount of substance: The SI unit for the amount of substance is the mole (mol).

6. Temperature: The SI unit for temperature is the kelvin (K).

7. Luminous intensity: The SI unit for luminous intensity is the candela (cd). An angstrom (symbol: Å) is a unit of length equal to 10^(-10) meters or 0.1 nanometers. It is often used to express the sizes of atoms and molecules.

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To determine if two triangles are congruent, the following conditions must be met:

To determine if triangle HL is congruent, you must first compare the lengths of each side. If the lengths of each side are equal, then the triangles are similar. Next, you must compare the angles of each triangle. If the angles of each triangle are equal, then the triangles are congruent. Finally, you must compare the pairs of vertical angles, alternate interior angles, alternate exterior angles, and consecutive interior angles. If all of these pairs are equal or supplementary, then the triangles are congruent. If all three conditions are met, then it can be concluded that triangle HL is congruent.

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For Quadrilateral ABCD is similar to quadrilateral A'B'C'D' the missing lengths can be solved using option 1 and option 3.

A transformation is a method for changing the two-dimensional position of a polygon or other object on a plane or coordinate system. Two-dimensional figures can move across a plane or coordinate system via mathematical transformations.

The shape in two dimensions before any alteration is known as a preimage or inverse image. The transformed figure is depicted in the picture.

When two figures are similar then the ratio of their segments are equal.

This statement is correctly represented by:

A'B' / AB = A'D' / AD

and

AB / A'B' = AD / A'D'

Hence, for Quadrilateral ABCD is similar to quadrilateral A'B'C'D' the missing lengths can be solved using option 1 and option 3.

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Answer:

175.84 ft 2

Step-by-step explanation:

50.24 x 2 = 100.48

100.48 + 75.36 = 175.84

The surface area of the cylinder will be 175.84 square feet.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called as the surface area.

It is given that:-

Area of each base: 50.24 ft2

Area of lateral surface: 75.36 ft2

Total surface area = (Area of each base x 2 )+ Area of the lateral surface

Total surface area =( 50.24 x 2 )+ 75.36

Total surface area = 175.84 square feet

Hence the surface area of the cylinder will be 175.84 square feet.

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Answer:

D

Step-by-step explanation:

Answer:

A= -13/35

B= 13/35

C= -27/35

D= -13/35

The answer is B

If a cone is sliced by a vertical plane that passes through the vertex, the resulting cross section will be a triangle.

The vertical plane cuts through the cone at its highest point, which is also the point where the two sides of the cone meet (i.e. the vertex). As the plane cuts through the cone, it intersects with the sloping sides of the cone at different angles, creating a triangular shape.

The resulting cross section will have the same base as the original cone, which is a circle. However, the height of the cross section will be shorter than the height of the original cone, since the vertical plane has removed a portion of the cone.

Overall, the resulting cross section will be a triangle with a circular base, which is often referred to as a frustum. This shape is commonly used in architecture and engineering, as it allows for tapered structures such as pillars and columns to be created.

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Answer:

Step-by-step explanation:

Calculate the area of the base (which is a circle) by using the equation πr² where r is the radius of the circle. Then, multiply the area of the base by the height of the cylinder to find the volume.

Answer:

\(\frac{32}{3} \pi \\v= 33.5\)

Step-by-step explanation:

\(v=\frac{4}{3} \pi r^{3}\)

\(v= \frac{4}{3} \pi 2^{3} \\\\v=\frac{4}{3} \pi 8\\v=\frac{32}{3} \pi \\v= 33.5\)

Answer:

x=65

Step-by-step explanation:

this is the answer

Answer:

x = 13×5 = 65

it can be I am not too much sure but 65 can be answer

Answer:

the answer is c beucse yses

Step-by-step explanation:

Derivatives of exponential and logarithmic functions are called Transcendental Functions.

A function which cannot be written as a finite combination of addition, subtraction, multiplication, division, raising to a power and extracting a root ,that is, the functions which are not algebraic is said to be transcendental function.

The derivative of exponential function f(x) = \(a^x,\) a > 0 is the product of exponential function \(a^x\) and natural log of a, that is, f'(x) = \(a^x\)ln a. Mathematically, the derivative of exponential function is written as d(\(a^x\))/dx = (\(a^x\))' = \(a^x\) ln a.

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Answer:

31.5 cm

Step-by-step explanation:

scale of an architecture is ratio of size of drawing to size of actual object.

Given size of football field is 160 feet by 360 feet

Given that on map shortest side is 14

since value of shortest side is 160 feet

then

scale defined for this football filed will be

scale = size of shortest side on model/size of shortest side of actual football field

scale = 14/160

Given that scale will remain same for longer side as

14/160= size of longer side on model/size of longer side of actual

14/160 =  size of longer side on model/360

thus,

size of longer side on model = (14/160) * 360

size of longer side on model = 14*360/160 = 31.5

Thus, the other side of model that is longer side is 31.5 cm

Answer: 4. No, not Similar

Step-by-step explanation:

<QSR = 62

because of vertical angles

we have 3 different angles and no sides

The probability of randomly choosing atleast one defective item would be 0.33657

Given the Parameters :

Defect rate = P(defect) = 0.05

Probability = required outcome / Total possible outcomes

P(atleast 1 is defective) = 1 - P(none is defective)

P(not defective) = 1 - P(defective) = 1 - 0.05 = 0.95

P(none is defective) = P(non defective)^5

P(none defective) = 0.95 × 0.95 × 0.95 × 0.95 × 0.95 × 0.95 × 0.95 × 0.95= 0.6634

P(atleast one is defective) = 1 - 0.6634 = 0.33657

Therefore, probability of atleast one defective item is 0.33657

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a) The number of distinguishable arrangements in the word DIVIDE is 720. b) There are 5040 more arrangements in DIVIDE than in FACTOR.

a) To determine the number of distinguishable arrangements in the word DIVIDE, we consider that the word has 6 letters, of which D and I are repeated. Thus, the total number of arrangements is 6!/(2! * 1!) = 720.

b) To find the difference in the number of arrangements between the words DIVIDE and FACTOR, we calculate the arrangements for both words. FACTOR has 6 distinct letters, so the number of arrangements is 6!. Therefore, there are 6! - 720 = 5040 more arrangements in the word DIVIDE than in FACTOR. This is because DIVIDE has repeated letters, which reduces the total number of distinct arrangements compared to FACTOR.

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Answer:

1/10

Step-by-step explanation:

Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

The standard deviation is 4.95.

The standard deviation is the average amount of variability in your dataset. It tells you, on average, how far each value lies from the mean.

A high standard deviation means that values are generally far from the mean, while a low standard deviation indicates that values are clustered close to the mean. The standard deviation and the mean together can tell you where most of the values in your frequency distribution lie if they follow a normal distribution.

Dataset: 1,2,4,7,8

So, n = 5 (because the sample size is 5)

We calculate the mean X by taking the average of the data values, which is dividing the sum of the data values by the number of data values:

X = 1+2+4+7+8/5

X=22/5 = 4.4

So, the average is 4.4

For standard deviation calculation,

$ = \({\sqrt{(x-X)^2/n-1} }\)

Thus, the standard deviation is 4.95.

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EXPLANATION

If the last term of a trinomial is negative, then we know that the factors are of different sign, and if the last term is positive then the factors have the same sign.

The option is B. Emerson is painting the outside of a cube for a math project. he knows the area of each face is 145 square inches.

the place is the quantity that expresses the quantity of vicinity on the plane or on a curved floor. The area of a plane vicinity or aircraft location refers to the area of a shape or planar lamina, while surface location refers to the region of an open floor or the boundary of a three-dimensional object. the place can be understood as the quantity of material with a given thickness that might be necessary to fashion a model of the shape, or the amount of paint essential to cowl the surface with a single coat. it's by far the 2-dimensional analog of the period of a curve (a one-dimensional concept) or the volume of a stable (a three-dimensional idea).

The region of a form can be measured by using comparing the form to squares of a set size. within the global system of devices (SI), the standard unit of the region is the rectangular meter (written as m²), which is the place of a rectangular whose aspects are one meter long. A shape with an area of 3 square meters might have an equal area to 3 such squares. In mathematics, the unit square is defined to have area one, and the place of some other form or floor is a dimensionless real number.

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Answer:

F

Step-by-step explanation:

Rotational symmetry means that when it is rotated 90 degrees it appears to be the same.

It could also be D but most likely not.

Given:

Given that

Required:

To find the other five trig ratio.

Explanation:

Now the hypotenuse is,

Now,

Final Answer:

The six trig ratio are

Answer:

x=3/4

Step-by-step explanation:

Look at the picture so you understand how To solve it.

Answer:

3+9=7 to the sqaure root of nine

Step-by-step explanation:

your welcome

If Snoopy is on a 14-foot long chain attached to the corner of a garage, he has an area of 196 square feet to roam.

This is calculated by using the formula for the area of a circle, where the radius is equal to half the length of the chain (7 feet). The formula is A = πr2, so the area is A = π(7)2 = 196 sq ft.

To further develop this topic, it is important to understand the concept of a circle and the equation for its area. A circle is a two-dimensional shape that is defined by a single point (the center) and a single line (the radius). The area of a circle is the amount of space that it covers and is calculated using the formula A = πr2, where r is the radius of the circle. This formula can be used to calculate the area of any circle, regardless of size.

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Answer:

$518-$188 = $330

$330 ÷ $22= 15

It will take Katie 15 weeks to save enough money.

Answer:

It will take Katie 15 weeks to save up for her motor scooter.

Step-by-step explanation:

Step 1: Analyze Data

First, you can recognize that Katie is going to make $22 each week, making that our slope. She has already saved $188, so that is our y-intercept since it is our 'start amount.' And then we are given one more number, $518, which is our y value since it is our 'goal.'

Step 2: Create an equation

\(518=188+22x\)

Step 3: Solve for x

\(518=188+22x\\330=22x\\x=15\)

a. No, the function is not continuous at x = 1. b. lim(x->1+) f(x) = lim(x->1+) (2 - x) = 2 - 1 = 1 c. the function is not continuous at x = 1.

a. No, the function is not continuous at x = 1

b. To calculate the limit along the left and right path/approach, we need to evaluate the function as x approaches 1 from the left and from the right.

Approaching from the left:

lim(x->1-) f(x) = lim(x->1-) (x - 1) = 1 - 1 = 0

Approaching from the right:

lim(x->1+) f(x) = lim(x->1+) (2 - x) = 2 - 1 = 1

c. To calculate the value of the limit along the top and bottom path/approach, we need to evaluate the function as x approaches 1 from values above and below 1.

Approaching from above:

lim(x->1) f(x) = lim(x->1) (2 - x) = 2 - 1 = 1

Approaching from below:

lim(x->1) f(x) = lim(x->1) (x - 1) = 1 - 1 = 0

At this stage, we can see that the limit of the function as x approaches 1 depends on the direction of approach. The limit from the left and the limit from below are both 0, while the limit from the right and the limit from above are both 1. Since these two sets of limits are different, the limit does not exist at x = 1. Therefore, the function is not continuous at x = 1.

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