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Students in 7th and 8th grade were asked the types of movies they prefer. The results of the survey are shown in the two-way tab

Andreyy89

A table is a arrangement of the data or the information. For the given table statement second, third and fifth are the correct statements.

Given information-

A four by four table in given for the survey of the 7th and 8th group students for the movie preference.

The first column has no label with entries drama, action, comedy, total.

The second column is labeled 7th with entries 11%, 25%, 14%, 50%.

The third column is labeled 8th with entries 15%, 19%, 16%, 50%.

The fourth column is labeled total with entries 26%, 44%, 30%, 100%.

<h3>Table </h3>

A table is a arrangement of the data or the information

Now look at the statement.

1) More 7th graders were surveyed than 8th graders- As both 7th grade and the 8th grade student surveyed are 50 percent. Thus the statement 1 is incorrect.

2) The marginal relative frequency for action movies is 44%-Total 7th grade students like the action movies are 25 percent. Total 8th grade students like the action movies are 19 percent. The sum of both is 44 percent. Thus this is correct statement.
3) The joint relative frequency for 8th graders who like comedy movies is 16%- From the table it can be said that the frequency of the 8th grade students likes the comedy movie is 16 percent. Thus this is a correct statement.
4) Most students prefer drama movies- The highest number of the movie preferred by the students is action movie. Thus this is an incorrect statement.
5) Half of the 7th graders prefer action movies- The 50 percent of the 7th grade is surveyed in which 25 percent like the action movie.25 is the half of the 50. Thus it is a correct statement.

Hence for the given table statement second, third and fifth are the correct statements.

Learn more about the data representation in table here;

brainly.com/question/7727331

4 0

2 years ago

If 1200 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the b

Colt1911 [192]

Answer:

The largest possible volume V is ;

V = l^2 × h

V = 20^2 × 10 = 4000cm^3

Step-by-step explanation:

Given

Volume of a box = length × breadth × height= l×b×h

In this case the box have a square base. i.e l=b

Volume V = l^2 × h

The surface area of a square box

S = 2(lb+lh+bh)

S = 2(l^2 + lh + lh) since l=b

S = 2(l^2 + 2lh)

Given that the box is open top.

S = l^2 + 4lh

And Surface Area of the box is 1200cm^2

1200 = l^2 + 4lh ....1

Making h the subject of formula

h = (1200 - l^2)/4l .....2

Volume is given as

V = l^2 × h

V = l^2 ×(1200 - l^2)/4l

V = (1200l - l^3)/4

the maximum point is at dV/dl = 0

dV/dl = (1200 - 3l^2)/4

dV/dl = (1200 - 3l^2)/4 = 0

3l^2= 1200

l^2 = 1200/3 = 400

l = √400

I = 20cm

Since,

h = (1200 - l^2)/4l

h = (1200 - 20^2)/4×20

h = (800)/80

h = 10cm

The largest possible volume V is ;

V = l^2 × h

V = 20^2 × 10 = 4000cm^3

4 0

3 years ago

Pls help ASAP I need help

JulijaS [17]

Answer:

i know it its easy

Step-by-step explanation:

1. 100

2. 1000

3. 10000

expecting brainliest

4 0

3 years ago

Answer to problem: 8(-6k-3)=8(3-4k) Please show work. Thank you.

OLga [1]

Hi there!
This problem requires us to solve for k, when solving problems like this it is important to note that what you do to one side of the equation (add,subtract,multiply and/or divide), you MUST do to the other side of the equation. Let's start!

First, we must distribute 8, in this case we need to distribute on BOTH sides of the equation. Remember when we distribute we use the distribution property:
$a(c+b)=ac+ab$
You must distribute to every number and/or variable present within the parentheses:
$(8)(-6k)+(8)(-3)=(8)(3)+(8)(-4k)$

Once we multiply the numbers together we have:
$-48k-24=24-32k
$

From here we combine like terms. Like terms are terms that contain the same variable and/or exponential value. For example:
3c and 4c are like terms because they have the same variables
24 and 50 are like terms because they are simply numbers without any variables.

In our problem, we see that we have -48k and -32k these are like terms. Our goal is to cancel out numbers so that we can solve for k.

Lets start by adding 48 to both sides so that we can have all the k's on one side of the equation:

$-48k+48k-24=24-32k+48k$

Now we have:
$-24=24+16k$

Now let's get the numbers without the variables on one side, we can do this by subtracting the 24 from the right side of the equation. Remember when we do one thing to one side of the equation we must apply it to both. So we subtract 24 on both sides.
$-24-24=24-24+16k$

Now we have:
$-48=16k$

Lastly, we must divide both sides of the equation by -16 to solve for k. We divide by -16 because the opposite of multiplication is division, -16 is currently multiplied by k:
$\frac{-48}{-16} = \frac{-16k}{-16}$

When we divide we get k=3

Our final answer would be: k=3

If you have an further questions, please do not hesitate to comment below! Have a nice day! :) <span />

5 0

3 years ago

Read 2 more answers

Solve for the equation. 4x - 13 = 2x + 9

nataly862011 [7]

I believe the answer is 11

5 0

4 years ago

Read 2 more answers