An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques. There are 75 students in the school who can participate in the experiment. Using a table of random digits, the researcher will randomly place the students into five equally sized treatment groups suitable for comparison.

Which number range would be needed to label the students correctly?

0–4
1–5
00–75
01–75

Answer:

The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].

Step-by-step explanation:

We proceed to use the following trigonometric identity to derive an expression in rectangular form:

[tex]\cos^{2} t + \sin^{2} t = 1[/tex] (1)

Where:

[tex]\cos t = \frac{2-x}{3}[/tex] and [tex]\sin t = \frac{y-1}{4}[/tex]

Then, we expand the expression as follows:

[tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex] (2)

The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].

Answer:

The area of the shaded region is:

Step-by-step explanation:

First, we're gonna find the area of the whole rectangle and next we can subtract the area of the triangles in the corners, we use the next formula:

And we replace the measurements in the picture (32 ft and 16 ft):

Now, we must calculate the area of a triangle, this can be made by this formula:

We can replace the values we have in the picture (4 ft and 6 ft), then:

As you can see in the picture, we have to subtract two triangles with the same measurements, by this reason, we multiply the area of the triangle by two and we'll obtain the area we must subtract:

At last, we take the area of the whole rectangle and subtract the area of the triangles:

The area of the shaded region is 488 ft^2.

Answer:

x=48

Step-by-step explanation:

You start with the values of 4 and 16. Figure out how many times 4 goes into 16, which is 4. (4*4=16)

Now, since 4 is multiplied by itself to reach the value of 16, 12 will also be multiplied by 4 to give you the value of x.

Answer:

Cost of each eagle stamp = $0.25

Cost of each racoon stamp = $0.4

Step-by-step explanation:

Given:

Cost of 8 eagle stamp and 2 racoon stamp = $2.80

Cost of 3 eagle stamp and 4 racoon stamp = $2.35

Find:

Cost of each stamp

Computation:

Assume;

Cost of each eagle stamp = e

Cost of each racoon stamp = r

So,

8e + 2r = 2.80........... Eq 1

3e + 4r = 2.35 ........... Eq 2

Eq 1 x 2

16e + 4r = 5.6 .........Eq3

Eq 3 - Eq 2

13e = 3.25

e = 0.25

Cost of each eagle stamp = $0.25

8e + 2r = 2.80

8(0.25) + 2r = 2.80

2 + 2r = 2.80

r = 0.4

Cost of each racoon stamp = $0.4

Answer:

d. 28.3

Step-by-step explanation:

Given

Radius ( r) = 3 m

Area of the circle

= π r²

= 3.14 * 3* 3

= 28.26

= 28.3 ft²

Answer:

see below

Step-by-step explanation:  5  26  9  17

cylinder with a radius of 7cm and a height of 10 cm

find the value of each flower pot and divided it into 24000 cm³

flower pot = π r² h   =  π × 7² × 10   =  π490    =  1539.38 cm³

24000 cm³ / 1539.38 cm³  =  15.59  flower pots

so Carl could only FILL 15 flower pots

Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil. So, Carl could only fill 15 flower pots.

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

The cylinder with a radius of 7cm and a height of 10 cm.

The flower pot = π r² h  

[tex]= \pi \times 7^2 \times h\\ = 490 \pi \\ = 1539.38 cm^3[/tex]

= 24000 cm³ / 1539.38 cm³  

=  15.59  flower pots

So, Carl could only fill 15 flower pots.

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Answer:

V = 29 + j3

Step-by-step explanation:

4+j3 amps and resistance of 5-j3 ohms what is the voltage of the circuit

V = IR     I = 4+j3 amps    R = 5-j3 ohms

V =  4+j3 × 5-j3

V = [4 × 5]+[j3 × -j3] + [4 × -j3] + [j3 × 5]

V = 20 + (-j²)9  + (-j12) + j15

V = 20 - 9 + j3                  j3 × -j3 = 9 not -9    j = -1    j × j = -1  not 1  my mistake

V = 11 + j3   WRONG

my daughter's old TI 84 Plus Silver Edtion calculator     got 29+j3

Answer:  y=2-2x

Step-by-step explanation:

Answer:

C. 360°

Step-by-step explanation:

I calculated it logically

Answer:

Answer is C) 360°

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

....djdjbeoehehoeebdnskeje

The intersection of plane A and line m can be describes as line m .

Let's a plane. Consider a design or shape on that plane. Now consider an axis.

If we think of that axis as a mirror, and on the opposite side of that axis create the image of the considered shape, then if the shape's image looks exactly as the shape itself, therrefore that shape is called to have a reflectional symmetry.

Given that Planes A and B intersect.

We can see the two walls as planes in geometry.

A plane can be thought of as a wall or a floor of a room also a flat surface that has no thickness.

When two planes intersect, their intersection is a line.

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Answer:

8:05 am is the time she will have to leave her house to get to the airport on time.

Step-by-step explanation:

First, subtract 55 minutes from 10:20.

10:20 - 20 = 10:00

10:00 - 35 = 9:25

This is the time she wants to arrive. 9:25

Now, we have to subtract an hour and 20 minutes

9:25 - 1:00 = 8:25

8:25 - 20 = 8:05

Hope this helped and have a great day! :)

Answer:

D

Step-by-step explanation:

Find the slope by picking two ordered pairs in the table and using the slope formula( y2-y1/x2-x1) to get the slope. The smallest numbers are easiest to work with. (-1,1), (0,-2)

-2-1/0-(-1) = 3/0+1 = -3/1 = m=-3

Use one of the points you used and plug in the x and y values of the ordered pair into the equation with the slope to find your b( y-intercept). (0,-2)

-2= -3(0) +b

-2= 0+b

b=-2

The final equation will only have your slope and b( y-intercept). That should be your answer. Hope this helps!

Final Equation: y=-3x-2

Answer:

the center of the data set is 7 so probably 7

7 is the best representation of the center of given data set.

The correct answer is an option (C).

"It is the average of the given numbers."

"I is the middle value of a sorted list of numbers."

For given question,

We have been given a dot plot of the number of letters in each students first name.

From the given dot plot,

We have data as 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6,6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 10, 10, 11, 11, 11

From above data,

the total number of students in the class are n = 30

We write 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6,6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 10, 10, 11, 11, 11 as 3, (4 × 2), (5 × 4), (6 × 7), (7 × 7), (8 × 3), 9, (10 × 2), (11 × 3)

So, the mean of the above data would be,

[tex]\Rightarrow \bar{X}=\frac{3+ (4\times 2)+(5\times 4)+(6\times 7)+(7\times 7)+(8\times 3)+9+(10\times 2)+(11\times 3)}{30}\\\\\Rightarrow \bar{X}=\frac{208}{30}\\\\\Rightarrow \bar{X}=6.93\\\\\Rightarrow \bar{X}\approx 7[/tex]

From above data we can observe that there are two numbers in middle of the data 6 and 7.

So, the median would be,

[tex]\Rightarrow M=\frac{6+7}{2}\\\\\Rightarrow M=6.5\\\\\Rightarrow M\approx 7[/tex]

Therefore, 7 is the best representation of the center of given data set.

The correct answer is an option (C).

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Answer:

x=5

Step-by-step explanation:

All we have to do for this equation is cross multiply. This means we multiply 7 and 5 together and 5 and x+2 together. This will make the equation 35=5(x+2). Simplify this to get 35=5x+10. Subtract 10 from both sides to get 5x=25. You want to isolate x so you have to divide both sides by 5. This will make the equation x=5.

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Answer:

4ft, 7 inches

Step-by-step explanation:

4 ft (48 inches), 7 inches

Answer:

A) (1+0.3)25

Explanation:

Zoe's expression 25+0.3(25) equals to 32.5. So the only expression that equals to 32.5 is A) (1+0.3)25.

Answer:

x = 0

Step-by-step explanation:

3(x - 2) + 15= -3(x - 3)

3x - 6 + 15 = -3x + 9

3x + 9 = -3x + 9

3x + 3x = 9 - 9

6x = 0

x = 0

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

160% of 35 is 56.

Step-by-step explanation:

[tex]\frac{56}{y} :\frac{160}{100}[/tex]

y · 160 = 56 · 100

160y = 5600

160y ÷ 160 = 5600 ÷ 160

y = 35

Answer:

The final answer is 27.889 (Feel free to round it)

Step-by-step explanation:

3.35 x 2.14 = 7.169

7.169 + 25 = 32.169

2 x 2.14 = 4.28

32.169 - 4.28 = 27.889

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

True

Step-by-step explanation:

The Answer is 75.36 cm

2 x (pi)3.14 = 6.28

6.28 x (r)3 = 18.84

18.84 x (h)4 = 75.36

The statement, "If the radius of a cylinder is 3 centimeters and the height of the cylinder is 4 centimeters, then the area of the lateral surface is 75.36 square centimeters." is true.

"A cylinder is a three-dimensional geometrical structure which consists of two circular bases connected with a curved surface."

For a cylinder with radius r and height h,

the curved / lateral surface area is,

A = 2 × π × r × h

Given: r = 3 cm, h = 4 cm

Using the formula for area of lateral surface of a cylinder:

⇒ A = 2 × π × 3 × 4

⇒ A = 24 × π

⇒ A = 24 × 3.14

⇒ A = 75.36 sq.cm.

Therefore, given statement is true.

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Answer:

25 g

Step-by-step explanation:

0.1 kg can be written as 100 grams

& 75 g

while 1 kg is 1000 grams

so difference:-

(100- 75 ) grams

= 25 g

The difference between 0.1 kg and 75 g is 25 grams. To find the difference between 0.1 kg and 75g, you need to make sure both quantities have the same unit.

Since 1 kg is equal to 1000 g, you can convert 0.1 kg to grams:

0.1 kg = 0.1 * 1000 g = 100 g

Now, the two quantities are in the same unit:

0.1 kg - 75 g = 100 g - 75 g = 25 g

So, the difference between 0.1 kg and 75 g is 25 grams.

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Answer:

1. 6

2. 6

3. 10

4. 600

Step-by-step explanation:

edg :)

The complete table is given below.

x          f(x)            g(x)           h(x)

 1          2                3               6

2          4                6              24

5         10               15             150

10        20              30            600

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), and a ratio of 2 to 3. The area of the deck is represented by the function h(x).

The functions are given below.

f(x) = 2x

g(x) = 3x

h(x) = f(x) × g(x) = 6x²

Complete the table with the missing side lengths and areas of the deck.

x          f(x)            g(x)           h(x)

 1          2                3               6

2          4                6              24

5         10               15             150

10        20              30            600

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