The next two questions (Questions 7 and 8) refer to the following information: A Canadian study measuring depression level in teens (as reported in the Journal of Adolescence, vol. 25, 2002) randomly sampled 112 male teens and 101 female teens, and scored them on a common depression scale (higher score representing more depression). The researchers suspected that the mean depression score for male teens is higher than for female teens, and wanted to check whether data would support this hypothesis. If μ1 and μ2 represent the mean depression score for male teens and female teens respectively, which of the following is the appropriate pair of hypotheses in this case? (i) H0: μ1−μ2=0 Ha: μ1−μ2<0 (ii) H0: μ1−μ2>0 Ha: μ1−μ2=0 (iii) H0: μ1=μ2 Ha: μ1>μ2 (iv) H0: μ1−μ2=0 Ha: μ1−μ2>0 (v) Both (iii) and (iv) are correct.

Answer:

p= 8

Step-by-step explanation:

1/2 p = 4

p = 2(4)

Answer:

p=8

Step-by-step explanation:

This will ake the problem 8/2 which is the same as 4.  

Thus, 8 is your answer.

Leave 5 stars if this helped.

Answer:

Straight line joining (0,6) and (24,0)

Step-by-step explanation:

y = (-1/4)x + 6

Make a straight line passing through:

y = 0 + 6 = 6

(0,6)

And

0 = (-1/4)X + 6

-6 = -x/4

x = 24

(24,0)

sorry honey but i dot have a graph to you how but

all you do is  start at 6 positive and then mark a point one down and 4 to left and mark other point and then draw a line through it

Answer:

False

Step-by-step explanation:

Correct statement would be:

A tangent line is a line that insersects a circle at exactly one point.

Answer:

the the scale of the drawing is 1/4

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

As we know that, the formula to find the are of a triangle is:

A = 1/2 b*h where:

From the photo, we can see that, the height is 3 units and the base is 6 units. So the area of the shaded triangle is:

A = 1/2 6*3 = 9 square units

Given that the triangle depicted by the drawing has an actual area of 36 square units. So the the scale of the drawing is:

area of the shaded triangle / the actual area

9 /36 = 1/4

Hope it will find you well.

Answer:

6

Step-by-step explanation:

for 12 papers?

12 is the total amount

2 is the amount of piles

12 divided by 2 is 6.

there are 6 papers in each pile

Final answer:

To find out the number of papers in each pile, divide the dozen papers by the two piles, resulting in 6 papers per pile.

Explanation:

The question asks about dividing papers into two piles with an equal number of papers in each pile. Since it mentions there are 12 papers in total on the desk, we know that the number 12 represents a dozen, which is a common grouping for small objects to make counting and handling more efficient. To find out how many papers are in each pile, we simply divide the total number of papers by the number of piles. There are 2 piles on the desk, so we would perform the following calculation:

Therefore, each pile contains 6 papers.

Answer:

  5012

Step-by-step explanation:

Five thousand: 5000

Twelve: 12

Five thousand twelve: 5000 +12 = 5012

_____

Comment on "and"

I was taught to reserve the use of "and" for indicating a decimal point. For example, "five thousand and twelve hundredths" = 5000.12

Final answer:

The number five thousand and twelve is written in numerical form as 5012, with 'five thousand' representing 5000 and 'twelve' adding 12.

Explanation:

The number five thousand and twelve written in numerical form is 5012.

When converting numbers from word form to figure form, it is essential to identify the value of each word in the context of place value. In this case:

Thus, combining those two values brings us to the total figure of 5012.

Answer:

it will take 20hrs to fill the pool

Answer:

It would take 20 hours to fill the pool.

Step-by-step explanation:

We are give the Dimensions of the Pool. Recall that Volume of a Rectangular Prism is V = l*w*h which will return 800[tex]m^{3}[/tex]. Using Dimensional Analysis and recalling that the rate is being pumped at a rate of [tex]\frac{40m^{3}}{h}[/tex],   [tex]\frac{m^{3} }{\frac{m^{3}}{h} } = h[/tex] so, just divide the Volume by the Rate given since they are under the same units: [tex]\frac{16*10*5}{40} = \frac{800}{40} = 20 hours[/tex].

Answer:

Since h(max) is less than 30 ft, it will never reach a height of 30ft

The maximum height it can reach is 11.25ft.

Step-by-step explanation:

Given;

The height equation of the rock;

h = -16t^2 +20t +5

To determine whether it would reach 30 ft, we need to find its maximum height. Which is at;

dh/dt = 0

dh/dt = -32t +20 = 0

At Maximum height.

t = 20/32

We then substitute into the height equation.

h(max) = -16(20/32)^2 + 20(20/32) +5

h(max) = 11.25 ft

Since h(max) is less than 30 ft, it will never reach a height of 30ft

The maximum height it can reach is 11.25ft.

Answer:

There are no real solution to the equation [tex]h = -16t^2 +20t +5[/tex] when h = 35 ft.

Step-by-step explanation:

Here we have the equation for the height of the rock in ft given as

[tex]h = -16t^2 +20t +5[/tex]

For the rock to reach 30 ft we must have

[tex]30 = -16t^2 +20t +5[/tex]

That is [tex]0 = -16t^2 +20t +5 - 30 = -16t^2 +20t -25[/tex]

[tex]0 = -16t^2 +20t -25[/tex] or

[tex]16t^2 -20t +25 = 0[/tex]

From which it is observed that since the root of the equation is given by the quadratic formula

b² should be greater than 4·a·c  however

(-20)²[tex]\ngeqslant[/tex] (4×16×25)

Hence the equation has only imaginary roots.

Answer:

149,730 strawberries

Step-by-step explanation:

Answer:

149,730 strawberries

Step-by-step explanation:

Answer:

<1 : 36 degrees

<2 : 90 degrees

<3 : 36 degrees

<4 : 54 degrees

Step-by-step explanation:

First off, rhombus's have right angles formed at the middle, meaning that <2 is 90 degrees. Then, it's given that angle is 54 degrees, and its alternate interior angle is the one that is adjacent to <3. To find <1, add 90 and 54, and subtract that from 180. So <1 is 36 degrees. So that automatically makes < 3, 36 degrees and < 4, 54 degrees.

Answer:

star a; 5.7 units

Step-by-step explanation:

Answer:

[tex]x-8[/tex],  smaller integer is 8.

Step-by-step explanation:

Given:

The product of two consecutive integers is 72.

The equation x(x+1)=72 represents the situation, where x represents the smaller integer.

Question asked:

Which equation can be factored and solved for the smaller integer ?

Solution:

[tex]x(x+1)=72\\\\ x^{2} +x=72\\ \\ By\ subtracting\ both\ sides\ by\ 72\\ \\ x^{2} +x-72=72-72\\ \\ x^{2} +x-72=0\\ \\ x^{2} +9x-8x-72=0\\ \\ Taking\ x+9\ as\ common \\ \\ x(x+9)-8(x+9)=0\\ \\ x+9=0,x-8=0\\ \\ x=-9,x=8[/tex]

[tex]x-8[/tex]  can be factored and solved for the smaller integer, and that is 8.

Two consecutive integers are 8 and  9 and their product is 8 [tex]\times[/tex] 9 = 72

Answer:

20x + 12y -21

Step-by-step explanation:

Do the operation and put in the another side.

Answer:

4(5x+3y-7) = [20x] + [12y] + [- 28]

Step-by-step explanation:

4(5x+3y-7)

1) Distribute the 4 to each term in the parenthesis.

4(5x) + 4(3y) + 4(-7)

2) Multiply.

20x + 12y - 28 ← Final Answer

Answer: True

Step-by-step explanation:

If you draw a vertical number line, the numbers in it will infinitely extend in both directions (up and down), having the zero 0 as the neutral number (the origin).

Then, the numbers that are above the origin are the positive integers and represent the distance of an object above zero, while the numbers below the origin are the negative integers and represent perfectly the distance of an object underground (below the origin).

The statement is true, negative numbers can be used to represent the distance of an object below a reference point, such as underground relative to the surface.

True or false? You can represent the distance of an object underground using negative numbers.

The statement is true. In mathematics, especially when dealing with physical situations like displacements and positions, using negative numbers to indicate direction is a common practice. We often choose a frame of reference and a positive direction at the beginning of a problem. In this context, for example, if we define the surface of the ground as our reference point and the direction away from the center of the Earth (upwards) as positive, then it would take sense to use negative numbers to represent the distance of an object that is located underground, indicating it is below the reference point.

Answer: 20 pesos.

Step-by-step explanation: Your basically dividing 500 by 25. Hope this was helpful. :)

Answer:

20 ₱ (Pesos)

Step-by-step explanation:

$500 to Mexican Pesos

$25 = ₱1

25*4*5 = 1*4*5

$500 = 20 ₱

For part A, the student has 13 colleges to choose from that are not expensive and near home. For part B, the total possible selections of two colleges is 156, considering the student won't attend the same college before and after the transfer.

The subject of this question pertains to probability and set theory, a branch of mathematics. We use the principle of inclusion and exclusion to solve the problem.

For part A. there are total 24 colleges, 8 are expensive which means 24 - 8 = 16 are not expensive. Among 24 colleges, 8 are far from home which means 24 - 8 = 16 are near. But remember, there are 5 colleges that are both expensive and far, hence these 5 colleges got subtracted twice. So, we need to add them back. The number of colleges that are not expensive and near home are 16 + 16 + 5 = 37. However, this goes beyond the total number of colleges, so we subtract 24 from it to get the correct count of 13.

For part B, the number of ways before transferring are the same as in part A, 13. The number of ways after transferring, there are total 24 colleges, 8 are expensive which means 24 - 8 = 16 are not expensive. Among 24 colleges, 8 are near which means 24 - 8 = 16 are far. Adding the count of not expensive and far gets us 16 + 16 = 32. Subtract the total number of colleges to get the correct figure 32 - 24 = 8. Nothing the student can't attend the same college before and after the transfer, so the count of total selections is 13 choices for the first selection multiplied by 12 choices for the second selection, getting us a total of 156 possible selections.

https://brainly.com/question/27333813

#SPJ11

Answer: x = -1

Step-by-step explanation:

1) x - 5 = 36 -7x -49

2) x - 5 = -13 -7x

3) x + 7x =- 13 +5

4) 8x =- 8

5) x = -1

Please mark this as the brainliest answer! :) I hope this helped! <3

Answer:

64, 81, 100, 121 there are 4

Step-by-step explanation:

Answer:

heyyy there

Step-by-step explanation:64, 81, 100, 121, are the perfect square numbers between 50 and 140..

64=8*8

81=9*9

100=10*10

121=11*11

................12 *12 bcoms 144 so its not between 144

hope it helps

The equation [tex]\( K = C + 237.15 \)[/tex]) provides a way to convert temperatures from degrees Celsius to Kelvin. It reflects the fact that the Kelvin scale starts from absolute zero and is offset from the Celsius scale by 273.15 degrees.

K as the temperature in Kelvin,

C as the temperature in Celsius.

We're given that a temperature in Kelvin is 237.15 greater than the temperature in degrees Celsius. So, we can express this relationship as an equation:

[tex]\[ K = C + 237.15 \][/tex]

This equation shows that to convert from Celsius to Kelvin, you add 237.15 to the Celsius temperature. Similarly, to convert from Kelvin to Celsius, you subtract 237.15.

Here's the equation:

[tex]\[ K = C + 237.15 \][/tex]

1. **Definition of Kelvin and Celsius Scales**:

  - Kelvin (K): Kelvin is an absolute temperature scale where 0 Kelvin represents absolute zero, the lowest possible temperature where particles cease to move. One Kelvin is equal in magnitude to one degree Celsius.

  - Celsius (C): Celsius is a temperature scale based on the freezing and boiling points of water, where 0 degrees Celsius represents the freezing point of water and 100 degrees Celsius represents the boiling point of water at standard atmospheric pressure

2. **Relationship between Kelvin and Celsius**:

  - To convert from Celsius to Kelvin, you add 273.15 to the Celsius temperature. This adjustment is made because the Kelvin scale starts from absolute zero, which is -273.15 degrees Celsius.

3. **Given Relationship**:

  - The given information states that a temperature in Kelvin is 237.15 greater than the temperature in degrees Celsius. This means that to convert from Celsius to Kelvin, you add 237.15 to the Celsius temperature.

  - We can express this relationship mathematically as [tex]\( K = C + 237.15 \).[/tex]

    - Here, [tex]\( K \)[/tex] represents the temperature in Kelvin, and  [tex]\( C \)[/tex]represents the temperature in degrees Celsius.

    - Adding 237.15 to the Celsius temperature converts it to Kelvin.

  - The equation [tex]\( K = C + 237.15 \)[/tex]) provides a way to convert temperatures from degrees Celsius to Kelvin. It reflects the fact that the Kelvin scale starts from absolute zero and is offset from the Celsius scale by 273.15 degrees.

Answer:

B. $0.72

Step-by-step explanation:

Here is the stock listing for Enam Telecom

52 wk high is 122.86

52 wk low is 64.77

Div. is 3.45

Close is 99.14

Net change is 4.74

From the question the lowest price which was 64.77 was 48 days ago.

therefore net change in value is:

Close - lowest price:

99.14 - 64.77 = 34.37

Since change is in 48 days,

the average change per day is:

Total change / number of days = 34.37/48 = 0.716

This answer is approximately 0.72

Therefore average change per day is 0.72

Answer:

B

Step-by-step explanation:

the average of wieght od the kittens in the slether?

Answer:

D. 21,386

Step-by-step explanation:

The question is incomplete. Here is the complete question.

"The number of trees in a forest follows the logistic growth function,

f(t) = 32000/1+12.8e^-0.065t where t is the time in years. According to the growth model, how many trees will there be after 50 years?"

Given the logistics growth function,

f(t) = 32000/1+12.8e^-0.065t

To calculate the number of trees that will be there after 50years, we will substitute the value of t = 50 into the function

f(50) = 32000/1+12.8e^-0.065(50)

f(50) = 32000/1+0.496

f(50) = 32000/1.496

f(50) = 21,385.94

f(50) = 21,386

Number of trees that will be there after 50years is 21,386years

Answer:

3 cm

Step-by-step explanation:

3 cm converted to mm would be 30 mm which is bigger than 25 mm

Step-by-step explanation:

Your mistake is here: cos(-45°) = +½√2, not -½√2.

±√((1 + ½√2) / 2)

= ±√((2 + √2) / 4)

C. w= 3V/lh

D. V/B=h/3

E. V=w^2h/3

The equation that can describe a square pyramid include:

It should be noted that a square pyramid simply means a pyramid that has a square base.

The equations that could describe a square pyramid include w = 3v/lh, v/b = h/3, and v = w²h/3. When the top is above the center of the square, it's a right square pyramid.

Learn more about square pyramid on:

https://brainly.com/question/22744289

Answer:

the equation would be

28÷(11.50+5.50)

hope this helps :)

Answer:

28=5.50h+11.50

Step-by-step explanation:

Answer:

x=7

y=8

Step-by-step explanation:

-Given that the mean and median is the same.

-Let b=mean =median

#Given that the set is arranged in order and is even:

[tex]median=\frac{n+1}{2}\\\\Median=3^{rd} \ term\\\\=x[/tex]

Hence:

[tex]b=median=mean\\\\b=x\\\\\therefore mean=median=x[/tex]

-Applying the mean formula:

[tex]\bar x=\frac{1}{n}\sum{x_i}\\\\\therefore 5x=4+6+x+y+10\\\\4x=20+y\\\\x=5+0.25y[/tex]

#Since the number are in order:

[tex]6<x<y<10\\\\\#let\ x=7,y=8\\\#Substitute\\\\7=5+0.25(8)\\7=7\\\\[/tex]

Hence, x=7 and y=8