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The range of data set 1 is 20 and the range of data set 2 is 25.

From the given figure, the observations in data set 1 are 20, 25, 25, 25, 30, 30, 30, 35, 35 and 40.

The observations in data set 2 are 35, 40, 40, 45, 45, 45, 50, 50, 55 and 60.

In statistics, the range of a set of data is the difference between the largest and smallest values, the result of subtracting the sample maximum and minimum. It is expressed in the same units as the data.

From data set 1:

Highest observation = 40 and lowest observation = 20.

So, range = 40-20=20

From data set 2:

Highest observation = 60 and lowest observation = 35.

So, range = 60-35=25

Therefore, the range of data set 1 is 20 and the range of data set 2 is 25.

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Answer:

hmm I'm pretty sure a is 3.2

The true statement is sometimes true

The equation is  given as

5x + 3 - 2x = 7x + 3

Evaluate the like terms on each side of the equation

So, we have

3x + 3 = 7x + 3

Evaluate the like terms on both sides

4x = 0

Divide both sides by 4

x = 0

This means that the equation is only true when x = 0

Hence, the true statement is sometimes true

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Answer:

Marko bikes approximately 16.13 miles.
A very slow rate.

Step-by-step explanation:

average speed = 534 minutes per mile

time taken = 8614

d = t/s

distance = 8614 / 534

= 16.13 miles

In a survey of 232 professional athletes, 23 athletes do not own any of the three items. 49 owns a convertible and a tv, but not a store. 163 athletes owns a convertible or a tv. 109 athletes owns exactly one type of item in the survey. 209 athletes owns at least one type of item in the survey. 55 owns a tv or a store, but not a convertible.

Using Venn diagram, a diagram used to present the relationship between sets in a logical form, we analyze the given information.

athletes who do not own any of the three items = 232 - (121 + 100 + 93) +(54 + 38 + 18) - 5 = 23

athletes who owns a convertible and a tv, but not a store = 54 - 5 = 49

athletes who owns a convertible or a tv = (121 + 93) - (18 + 38 - 5) = 163

athletes who owns exactly one type of item in the survey = (121 - 54 - 18 + 5) + (100 - 38 - 54 + 5) + (93 - 18 - 38 + 5) = 109

athletes who owns at least one type of item in the survey = 121 + 100 + 93 - 54 - 38 - 18 + 5 = 209

athletes who owns a tv or a store, but not a convertible = (100 - 54 -38 + 5) + (93 - 18 - 38 + 5) = 55

See attached photo for reference.

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Answer: Three or more points that lie on the same line are called collinear point.

Example : the points A, B and C lie on the line m. They are collinear

Step-by-step explanation: i really hope this helps somehow  (: btw lmk if i am wrong

Final answer:

The student's mean score in the class is calculated as 80.6

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means. The mean represents the average or middle value of all the data in a dataset as a single number. One of many measures of central tendency, it is also referred to as the arithmetic average.

The mean is significant because it reveals the location of the dataset's median value. Because it contains data from each observation in a dataset, the mean is also significant.

Explanation:

Let [tex]x1 = 62, x2 = 83, x3=91, x4=88, x5=76[/tex]

Test scores count for 20% of the grade, final grades for 25%, and homework grades for 15% of the grade. Therefore

[tex]w1 = w2= w3 = 0.20\\w4 = 0.25\\w5 = 0.15[/tex]

[tex]= > \frac{12.4 + 16.6 + 18.2 + 22+11.4}{1}[/tex]

Which becomes,

[tex]= 80.6[/tex]

According to weights proportionate to values in the final grade, the weighted mean yields the mean value. The observed values are multiplied by the weights, which are then divided by the total number of weights.

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Polynomial expression for the given  conditions is formulated in the equation

y(x)=1*(x-2)^3(x-0)^2

The polynomial for the conditions with leading coefficient 1 that has the given zeros, multiplicities, and degree. Zero: 2, multiplicity: 3 Zero: 0, multiplicity: 2 Degree: 5 is given as

According to the given condition

The given conditions to write the polynomial equations are as follows

Zero 2  and Multiplicity 3

Zero 0 and Multiplicity 2  

Degree of polynomial expression  = 5

The leading coefficient of polynomial expression = 1

Let us consider the polynomial equation has only one variable and hence in the general form we can write the equation of polynomial as follows

From the general form of polynomial expression as shown in equation (1) we can write

Polynomial expression for the given  conditions is formulated in the equation

y(x)=1*(x-2)^3(x)^2-------(2)

So the polynomial for the conditions given in the question is expressed as

y(x)=1*(x-2)^3(x)^2

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Driver C and Driver B are variable

Answer:

D. A monthly truck payment

If a group of 5 adults and 8 children, went for a ride of the Ferris wheel, and if the ticket cost $1 per person, irrespective of age, then total cost of tickets for the whole group will be $13.

As per the question statement, a group of 5 adults and 8 children, went for a ride of the Ferris wheel and the ticket costed $1 per person, irrespective of age.

We are required to calculate the total cost of tickets for the whole group.

Since the ticket cost was same for persons of all ages, therefore, total members of the group who wanted to ride the Ferris wheel was

(8 + 5) = 13.

As per the Unitary method, we have to calculate the value of 13 tickets from the data on the value of a single ticket provided to us in the question statement, i.e., we simply need to multiply the number of tickets with the cost of a single ticket to obtain our desired answer.

Therefore, cost of 13 tickets with each ticket costing $1 is [tex](13*1)=13[/tex] Dollars.

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Answer: 76 problems wrong

Step-by-step explanation:

62%=

62/100=0.62

0.62*200=124 problems right

200-124=76 problems wrong

Answer: c=[tex]\frac{4A}{b^3}[/tex]

Step-by-step explanation:

A = 1/4b^3c

A*4=4*1/4b^3c

4A=4/4b^3c

4A=b^3c

c=4A/b^3

c=[tex]\frac{4A}{b^3}[/tex]

Answer:

V = [tex]\frac{Bh}{3}[/tex]

Step-by-step explanation:

B = 3 × [tex]\frac{V}{h}[/tex] ( multiply both sides by h to clear the fraction )

Bh = 3V ( divide both sides by 3 )

[tex]\frac{Bh}{3}[/tex] = V

∠2≅∠3 because ∠1≅∠2 and ∠1≅∠3. Hence proved.

Given that, AD bisects ∠BAC and ∠1≅∠3.

An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts.

Since AD bisects ∠BAC, ∠BAD=∠DAC.

That is ∠1≅∠2 (AD bisects ∠BAC into two equal angles)

Since ∠1≅∠2 and ∠1≅∠3 (given)

We get, ∠2≅∠3

∠2≅∠3 because ∠1≅∠2 and ∠1≅∠3. Hence proved.

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The coordinates of the ends of the line segment A''B'' are A''(x, y) = (3, 3) and B''(x, y) = (- 1, 7), respectively. The graph of the line segment is attached aside.

In this problem we must find the coordinates of a new line segment, generated after making translations and rotation, two kinds of rigid transformations. First, determine the coordinates of the ends of the line segments by translation formula:

A'(x, y) = (3, 4) + (- 2, 1)

A'(x, y) = (1, 5)

B'(x, y) = (- 1, - 2) + (- 2, 1)

B'(x, y) = (- 3, 1)

Second, determine the coordinates of the ends of the line segment by using the rotation formula:

A''(x, y) = O(x, y) + ((A'x - Ox) · cos θ - (A'y - Oy) · sin θ, (A'x - Ox) · sin θ + (A'y - Oy) · cos θ)

A''(x, y) = (1, 3) + ((1 - 1) · cos (- 90°) - (5 - 3) · sin (- 90°), (1 - 1) · sin (- 90°) + (5 - 3) · cos (- 90))

A''(x, y) = (1, 3) + (2, 0)

A''(x, y) = (3, 3)

B''(x, y) = O(x, y) + ((B'x - Ox) · cos θ - (B'y - Oy) · sin θ, (B'x - Ox) · sin θ + (B'y - Oy) · cos θ)

B''(x, y) = (1, 3) + ((- 3 - 1) · cos (- 90°) - (1 - 3) · sin (- 90°), (- 3 - 1) · sin (- 90°) + (1 - 3) · cos (- 90))

B''(x, y) = (1, 3) + (- 2, 4)

B''(x, y) = (- 1, 7)

The coordinates of the ends of the line segment A''B'' are A''(x, y) = (3, 3) and B''(x, y) = (- 1, 7), respectively. The graph of the line segment is attached aside.

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The length of each side of the box is 10 centimeter.

Volume is the amount of space occupied by a three-dimensional figure as measured in cubic units.

Given,

The volume of the cubic box = 1 liter

We know 1 liter= 1000 cubic centimeter

Volume of the cubic box= [tex]x^3}[/tex]

Then,

[tex]x^{3}=1000\\ x=\sqrt[3]{1000}[/tex]

x=10 centimeter

Hence, the length of each side of the box is 10 centimeter.

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The data for relative humidity levels in operating rooms at local hospitals must be continuous.

For given question,

Continuous data is a type of numerical data that refers to the unspecified number of possible measurements between two points.

These numbers are not always clean and tidy like those in discrete data, as they're usually collected from precise measurements.

Variables in these data sets often carry decimal points.

When values in a data set are countable and can only take certain values, it is called discrete data.

In this question,

we need to find the type of data for relative humidity levels in operating rooms at local hospitals.

The data records of relative humidity levels carry decimal points.

Therefore, the data for relative humidity levels in operating rooms at local hospitals must be continuous.

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Answer:

(-4, 4)

Step-by-step explanation:

x can be either negative 4 or positive 4.  A negative number squared is a negative number times a negative number, which will be a positive number.

Answer:

x = 1, y = 3.

Step-by-step explanation:

1/3
2/6
and
3 to 9
are all the same.

The rate of change is 1/2.

the end behavior of the function is:

as x → ∞, f(x) → ∞

as x → -∞, f(x) → -∞

Here we have a simple linear function:

y = (1/2)*x + 3

Remember that for a general linear function we have:

y = a*x + b

Where a is the rate of change and b is the y-intercept.

Then comparing our function with the general one, we can see that the rate of change is 1/2.

Now, because the rate of change is positive, we can see that when x tends to infinity the function also tends to infinity.

And when x tends to negative infinity also does f(x).

Then the end behavior of the function is:

as x → ∞, f(x) → ∞

as x → -∞, f(x) → -∞

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Answer:

502.7 cubic units

Step-by-step explanation:

When a rectangle is rotated about the side, a cylinder is formed.

   Height of the cylinder will be the length of the rectangle of the side about rotated.

Height = h = VY  = 10 units

  Radius = r = VW = 4 units

[tex]\sf \boxed{\bf Volume \ of \ cylinder = \pi r^2h}[/tex]

                                    = 3.142 * 4 * 4 * 10

                                    = 502.7 cubic units

Answer:

we assume the two boys lifted the same amount of weight of boxes. Let s be the weight of the boxes Steven lifted. Hence,

Step-by-step explanation:

13 ( s+12) = 15 s

where s + 12 means that the box lifted by Nathan weighed 12 more than that of Steven.

we solve,

s = 78 pounds

such that Nathan's is 90 pounds.

To solve the for x the equation will be   3x° = 80° - x° and the value of x is 20°.

When two or more lines meet at a common point it is known as  intersecting lines.

According to the question we have been given that there are two lines who are intersection at a point. And we have been given measure of two angles.

Let the first angle be given as ∠A and the second angle be given as ∠B.

The measure of angles given to us are :

   ∠A = 3x°  and  ∠B = (80 - x)°

We know that when two lines intersect then the vertically opposite angles are equal, that is

              ∠A = ∠B

Putting the required values we get

            3x° = 80° - x°

            4x° = 80°

              x = 20°

Hence the value of x = 20°. Thus the measure of ∠A = 60°  and ∠B = 60°

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Answer:

f. 8.0

g. 34.4

h. 83.8

i. 121

j. 35.2

Step-by-step explanation:

f. 4.1 + 3.9 = 8.0

g. 23.1 + 7.6 + 3.7 = 34.4

h. 53.2 + 3.1 + 27.5 = 83.8

i. 11.1 + 17.3 + 92.6 = 121

j. 24.1 + 7.9 + 3.1 = 35.2

Answer: Domain: All real numbers      

Range: y<-2, y>=0

Step-by-step explanation:

Domain: All real numbers       ==> x can be less than zero and greater than or equal to zero.

Range: y<-2, y>=0

-x-2, x>0

-x-2+2, x>2

-x, x>2

x, x<-2

y, y<-2

-x, x<=0

x, x>=0

y, y>=0

Answer:

Step-by-step explanation:

Domain 5

range 2