MATHEMATICS MIDDLE SCHOOL

Melissa wants to know if the number of words on a page in her geography book is generally more than the number of words on a page in her math book. She takes a random sample of 25 pages in each book, then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.Mean Median Mean Absolute Deviation
Geography 48.9 41 9.2
Math 34.5 44 1.9

She claims that because the mean number of words on each page in the geography book is greater than the mean number of words on each page in the math book, the geography book has more words per page. Based on the data, is this a valid inference?
Yes, because the mean is larger in the geography book
No, because the mean is larger in the geography book
No, because there is a lot of variability in the geography book data
Yes, because there is a lot of variability in the geography book data

Answers

Answer 1

Answer:

Yes, Melissa is correct, because the difference between the means is larger than the sum of the variabilities.

Is this a valid inference?

We know that, for 25 samples of each book, we have:

Book mean median MAD

Geography 48.9 41 9.2

Math 34.5 44 1.9

The claim, is that "the geography book as more words per page"

Notice that even if we subtract the mean standard deviation from the mean in the geography case:

48.9 - 9.2 = 39.7

And we add these in the math case:

34.5 + 1.9 = 36.4

So, even considering the variability, the geography book has more words per page. The value in the geography case is still larger, so, only with this, we conclude that her claim is valid.

If you want to learn more about means, you can read:

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Answer 2

Answer: I think it would be c. I would have to have all of this information written out for me but i think it is C. Good Luck!

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Help me PLEASE!!!!!3x = 27x = ? Thank you!!
1. 12 = x + 32. b+0.6= -13. a+(-4)= -134. x+27= -125. a+(-1.2)= -5.5
A scale drawing of Jack's living room is shown below:If each 2 cm on the scale drawing equals 10 feet, what are the actual dimensions of the room?

Penn buys a large sub sandwich to serve at a party. Penn cuts the sandwich into equal peoces to serve 8 guests. Write an equation to represent the portion, p, that each guests receives?

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Let s represent the sandwich and p represent the portion
s=8p

What is the rectangular form of the polar equation?

θ=−7π/6

Answers

The rectangular form of the polar equation $\theta=(-7\pi )/(6)$ is:

$x = r * (\sqrt3)/(2)\ny = r * (-1)/(2)$

Mathematical formulations known as polar equations show the connections between locations in a polar coordinate system. In a polar coordinate system, a point's distance from the origin serves as its definition.

To convert a polar equation into a rectangular form, we can use the following formulas:

$x = r * cos(\theta)\ny = r * sin(\theta)$

In this case, the polar equation is $\theta=(-7\pi )/(6)$ .

Using the conversion formulas, we can substitute the value of θ into these equations:

$x = r * cos\left((-7\pi)/(6)\right)\ny = r * sin\left((-7\pi)/(6)\right)$

Evaluate the trigonometric functions $cos\left((-7\pi)/(6)\right)\n$ and $sin\left((-7\pi)/(6)\right)$ .

$cos\left((-7\pi)/(6)\right) = cos\left(\frac {\pi}{6}\right) = (\sqrt3)/(2)$

$sin\left((-7\pi)/(6)\right) = -sin\left( (\pi)/(6)\right)\n=( -1)/(2)$

Substituting these values back into the equations:

$x = r * (\sqrt3)/(2)\ny = r * (-1)/(2)$

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Answer:

the answer is y= 0.5774xstep by step explanation

An angle measures 56° less than the measure of a complementary angle. What is the measure of each angle?

Answers

Well, firstly a complementary angle is 90 degrees.
if an angle measures 56 degrees less than 90 degrees that means that it is 90- 56= 34
so, therefore the measure of each angle is 34 degrees.

Final answer:

To find the measure of each angle, assume the measure of one angle is x degrees. The other angle measures 56° less than the measure of its complementary angle. Solve the equation to find the measures of the angles.

Explanation:

To find the measure of each angle, let's assume the measure of one angle is x degrees.

According to the problem, the other angle measures 56° less than the measure of its complementary angle, which means it is 90 - x - 56 = 34 - x degrees.

Since two angles are complementary, their sum should be equal to 90 degrees.

Therefore, x + (34 - x) = 90.

Solving the equation, we get x = 28 degrees and 34 - x = 34 - 28 = 6 degrees.

So, the measure of each angle is 28 degrees and 6 degrees, respectively.

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What are the common factors of 24,64 and 88

Answers

CF of 24 = 1, 2, 3, 4, 6, 8, 12, 24
CF of 64 = 1, 2, 4, 8, 16, 32, 64
CF of 88 = 1, 2, 4, 8, 11, 22, 44, 88.
In the list above, what are the numbers can divide evenly into 24, 64, 88?
There are 1, 2, 4, 8. So common factors of 24, 64, 88 are 1, 2, 4, 8
If they're asking for greatest common factor, that will be 8 because 8 is the largest number can divide by 24, 64 and 88
Hoped this helped:)

1,2,4 & 8

12*2 = 24
32*2 = 64
44*2 = 88

6*4 = 24
16*4 = 24

etc.

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as well as x-2y=0 in slope intercept form

Answers

$the \ slope \ intercept \ form \ is : \n \n y= mx +b \n \n 2x+8y=12 \ \ |-2x \n \n8y=-2x+12\ \ /:8\n \ny=-(2)/(8)x+(12)/(8)$

$y=-(1)/(4)x+(3)/(4)\n \n m=-(1)/(4)$

$x-2y=0 \ \ | -x \n \n-2y=-x \ \ /:(-2)\n \ny=(1)/(2)x \n \n m= (1)/(2)$

2x+8y=12
-2x -2x
8y/8=(-2x+12)/8
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x-2y=0
-x -x
-2y/-2=-x/-2
y=0.5x

!!!!!!!!!150 points!!!!!!! HELP ASAP SIMPLE QUESTION BELLOW!!!!!!

Answers

25x9=225x2=450
32x9=288x2=576
450+576=1026
1026-140=886
so the rest of the wall area is 886ft square

Hey there I see you need help well I am here to do just that 25*9=225*2=450 32*9=288*2=576 450+576=1026
1026-140=886
and the rest of the wall area is 886ft square hope this helps

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