A sample of college students was asked how they felt about their weight. Of the 143 women in the sample who responded, 38 women said that they felt overweight, 99 felt that their weight was about right, and 6 felt that they were underweight. Of the 78 men in the sample, 18 men felt that they were overweight, 35 felt that their weight was about right, and 25 felt that they were underweight (Data source: pennstate3 dataset on the companion website).

a. In the relationship between feelings about weight and sex, which variable is the explanatory variable and which is the response variable?

b. Summarize the observed counts by creating a table similar to Tables 2.2 and 2.3 (p. 21).

c. For the 143 women, find the percentage responding in each category for how they felt about their weight.

d. For the 78 men, find the percentage responding in each category for how they felt about their weight.

e. Using the percentages found in parts (c) and (d), summarize how the women and men differed in how they felt about their weight.

Answer:

I'd cross multiply to solve this equation.

Step-by-step explanation:

Since we have a fraction where we're finding a ratio:

[tex]\frac{3}{x} = \frac{6}{14}[/tex],

I'd find it easiest to cross multiply. This is because we are finding an equivalent to a ratio, so cross multiplication works best here.

Let's solve it.

[tex]14\cdot 3 = 42\\42\div6=7[/tex]

x = 7

Hope this helped!

Answer:

y = (x - 2)²

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, 0) , thus

y = a(x - 2)² + 0

To find a substitute the y- intercept (0, 4) into the equation

4 = a(- 2)² = 4a ( divide both sides by 4 )

a = 1

y = (x - 2)² ← equation of parabola in vertex form

Answer:

$8

Step-by-step explanation:

It says P = per ball (which will be a number, n, for balls times the fixed price) plus a set entrance fee. So we find that the price per ball is $0.80, so 10 balls cost $8.

Answer:

$8

Step-by-step explanation:

Answer:

To eliminate solve for y, we need to eliminate x and we will do that by multiplying the first  equation by 8   and multiply the second equation by 9.

y=6

Step-by-step explanation:

In the equations:

9x + 3y = -18  -----------------------------------------------------------------(1)

8x + 7y = 10 --------------------------------------------------------------------(2)

To solve for  y, we will have to eliminate x

To eliminate x, we will follow the steps below;

multiply equation (1) through by 8   and multiply equation (2) through by 9

The resulting equations are

72x + 24y  = -144 ----------------------------------------------------------(3)

72x +  63y =  90  -----------------------------------------------------------(4)

Then we will go ahead and subtract equation  (4) from equation (3)

39y =234

divide both-side of the equation by 39

39y /39=234/39

y=6

Answer:

The answer is 1/5

Step-by-step explanation:

Answer:

[tex]y=\frac{1}{3} x+7[/tex]

Step-by-step explanation:

We need to find the equation of a line perpendicular to [tex]y=-3x-3[/tex], which passes through the point (-3, 6).

Recall that a line perpendicular to a line of the form: [tex]y=mx+b[/tex], must have a slope which is the opposite of the reciprocal of the slope of the original line. that is, a slope of the form;

[tex]slope=-\frac{1}{m}[/tex]

Then, in our case, since the original line has slope "-3", a perpendicular line to it should have a slope given by:

[tex]slope=-\frac{1}{-3} =\frac{1}{3}[/tex]

We now know the slope, and also a point for this new line, so we use the point-slope form of a line:

[tex]y-y_0=m_\perp\,(x-x_0)\\y-6=\frac{1}{3} (x-(-3))\\y-6=\frac{1}{3} x+\frac{3}{3} \\y-6=\frac{1}{3} x+1\\y=\frac{1}{3} x+7[/tex]

Answer:

I hope it will surely help uh.....

Answer:

sqrt of 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

Discount percent = 10%

Marked price ( MP ) = £ 60

Selling price ( SP ) = ?

Now, finding the discount amount:

Discount amount = discount percent of MP

= 10% of 60

= £ 6

Selling price = Marked price - Discount amount

=£ 60 - £ 6

= £ 54

hope this helps...

Good luck on your assignment..

Answer:

y + 8 = -5(x - 4).

Step-by-step explanation:

In this case, y1 = -8, x1 = 4, and m = -5.

y - (-8) = -5(x - 4)

y + 8 = -5(x - 4).

Hope this helps!

Answer:

126 cm³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Al ( A is the cross sectional area and l the length ), thus

V = 21 × 6

   = 126 cm³

Answer:

Option (D) is the correct option.

Step-by-step explanation:

Let the equation of a line which passes through (x', y') and slope 'm' is,

y - y' = m(x - x')

If this line passes through a point (-6, -5) and slope 'm' = 6

Equation of the line will be,

y -(-5) = 6[x - (-6)]

y + 5 = 6(x + 6)

Therefore, equation the line will be y + 5 = 6(x + 6).

Option (D) will be the answer.

Answer:

[tex]x + 0.05x = 15[/tex], solution is $14.29

Step-by-step explanation:

We can create an equation for this scenario to try and solve it.

Assuming the cost of the CD is x, it’s sale tax will be 0.05x (as that is 5% of x, 0.05.)

We can write the equation in two ways:

[tex]x + 0.05x = 15[/tex] or [tex]1.05x = 15[/tex].

Assuming we take the second one (easier to work with), we can divide both sides by 1.05. The equation simplifies to x = 14.289... which rounds to x = 14.29.

Therefore, the equation is [tex]x + 0.05x = 15[/tex] and the solution is $14.29.

Hope this helped!

Answer:

x + 0.05x = 15; x = $14.29

Step-by-step explanation:

Answer:

x = 59

Step-by-step explanation:

x−2=57

Add 2 to each side

x−2+2=57+2

x = 59

Answer:

X=59

Step-by-step explanation:

x−2=57

to isolate X you would have to add 2 to each side. x-2(+2)=x and 57(+2)=59

Answer:

1/2

Step-by-step explanation:

[tex]sin(\frac{\pi }{6} )=\frac{1}{2}[/tex]

sin(pi) = 0

sin(7pi/6) = -1/2

sin(pi/6) = 1/2

sin 3pi/2 = -1

sin pi/2 = 1

sin pi/3 = √3/2

sin 4pi/3 = -√3/2

Answer:

1/2

Step-by-step explanation:

I got it right on the exam.

Answer:

Step-by-step explanation:

Given,

Cost price ( CP ) = 12

Selling price ( SP ) = 15

Since, CP < SP , she made a profit

Actual profit = SP - CP

plug the values

[tex] = 15 - 12[/tex]

Subtract the numbers

[tex] = 3[/tex]

Profit = 3

Now,

Profit percent = [tex] \frac{actual \: profit}{cost \: price} \times 100[/tex] %

Plug the values

[tex] = \frac{3}{12} \times 100[/tex] %

Calculate

[tex] = 25[/tex] %

Hope this helps...

Best regards!!

Answer:

25%

Step-by-step explanation:

Cost Price: ₦12

Selling Price: ₦15

Profit: ₦15 - ₦12 = ₦3

Profit Percentage = [tex]\frac{profit}{cost price}[/tex]  ×  [tex]\frac{100}{1}[/tex]

Profit Percentage = [tex]\frac{3}{12}[/tex] × [tex]\frac{100}{1}[/tex]

Profit Percentage = [tex]\frac{1}{4}[/tex] × [tex]\frac{100}{1}[/tex] = 25%

Final Answer = 25%

I'm assuming your teacher wants you to distribute. If so, then you multiply the outer term 8 by each term inside (3a and 5). After that you add.

8 times 3a = 24a

8 times 5 = 40

So 8(3a+5) becomes 24a+40

We do not combine 24a and 40 as they are not like terms. So we leave 24a+40 as it is.

Answer:

a^5.

Step-by-step explanation:

a^12 / a^7 = a^(12 - 7) = a^5.

Hope this helps!

Answer:

Pretty Simple!

Step-by-step explanation:

So, according to similar triangles, all the measures of their corresponding angles are equal.

According to the picture, <A corresponds to <D. Thus:

m<D=32 degrees

Hope this helps!

Answer:

C. 32°  

Step-by-step explanation:

If two triangles are similar, their corresponding angles must be equal.

∠D corresponds to ∠A, so

  ∠D = ∠A

  ∠A = 32°

∴ ∠D = 32°

Answer:

8

Step-by-step explanation:

2 x 2 x 2 = 8

you have 2 choices each time, with or without

Answer:

The answer is

Step-by-step explanation:

To find the volume of the sphere we must first find the radius

Surface area of a sphere = 4πr²

where r is the radius

From the question surface area = 3000m²

3000 = 4πr²

Divide both sides by 4π

750/π = r²

Find the square root of both sides

r = 15.45 cm

Volume of a sphere is 4/3πr³

So we have

4/3π(15.45)³

= 15448.06

= 15448m³ to the nearest hundredth

Hope this helps you

Answer:

  f(x) = x^3 -5x^2 +25x -125

Step-by-step explanation:

For zero x=a, one of the factors is (x -a). If the polynomial has integer coefficients, its complex roots come in conjugate pairs. So, the roots are ...

  roots: -5i, 5i, 5

  factors: (x -(-5i))(x -5i)(x -5)

Multiplying these out gives your polynomial as ...

  f(x) = (x^2 +25)(x -5)

  f(x) = x^3 -5x^2 +25x -125

Answer:

A. 25°

Hope it helped

Answer:

4 miles

Step-by-step explanation:

Solution:-

- This question pertains to special right angle triangles.

- This requires the use of special angles like ( 30°, 45°, 60° ) for all three trigonometric ratios that give us exact answers in the form of radicals.

- We will make a table of all three trigonometric ratios for the 3 special angles given above as follows:

                          30°           45°            60°

     sin               1/2           1/√2        √3 / 2

      cos           √3 / 2        1/√2           1/2

      tan             1 /√3          1              √3

- Now take a look at the figure and determine the appropriate trigonometric ratio that could be used to determine the distance ( q ). We are given an opposite angle ( θ = 45° ) and hypotenuse of the right angle triangle ( H = 4√2 mi )

- We see that the sine ratio is the most appropriate which can be written as:

                       sin ( θ ) = q / H = q / 4√2

                       sin ( 45° ) = q / 4√2  

                       q = 4√2  *  sin ( 45° )   ... Use above table for sin ( 45° )

                       q = 4√2  *  [ 1 / √2 ]

                       q = 4 miles  ... Answer

Answer:

Step-by-step explanation:

A = {2,8,10,14}

B= {6,8,20}

C={8,18,20,24}

A ∩ B --> intersection means elements that  are in both sets A & B

A ∩ B = {8}

A∩ C =  {8}

B ∩ C = {8 , 20}

A∩B ∩ C = {8}

First blue box = { 2,10, 14}

Second blue box = {18, 24}

First green box = { 8}

Second green box = { 20}

b) A ∩ B = {8}

n [ A ∩ B] = 1

Probability of the number to be a member of A∩B =  1 / 25

Answer:

The correct options are;

g(x) = -0.27·x² + x  + 5

h(x) = 2·㏒(x + 1) + 5

Step-by-step explanation:

To answer the question, we substitute x = 1.9 seconds into the given options as follows;

1) For f(x) = √(1.6·x) + 5

When x = 1.9 seconds, we have;

y = f(1.9) = √(1.6×1.9) + 5 = 6.74 which is not equal to the given height of 5.9 meters

Therefore, f(x) = √(1.6·x) + 5 does not model the height of the drone y as a function of time, x

2) For g(x) = -0.27·x² + x  + 5

When x = 1.9 seconds, we have;

y = g(1.9) = -0.27×1.9^2 + 1.9  + 5 = 5.93 meters, which is approximately 5.9 meters to one place of decimal

Therefore, the function, g(x) = -0.27·x² + x  + 5,  approximately models the height of the drone y as a function of time, x

3) For h(x) = 2·㏒(x + 1) + 5

When x = 1.9 seconds, we have;

y = h(1.9) = 2·log(1.9 + 1) + 5 = 5.92 meters,

The function, h(x) = 2·㏒(x + 1) + 5,  approximately models the height of the drone y as a function of time, x

4) For j(x) = -∛(-1.4·x - 1) + 5

When x = 1.9 seconds, we have;

y = j(1.9) = -∛(-1.4×1.9 - 1) + 5 = 6.54 meters

The function j(x) = -∛(-1.4·x - 1) + 5 does not model the height of the drone y as a function of time, x

5) For k(x) = -1.2·x³ + 2.6·x² - 0.5·x + 5

When x = 1.9 seconds, we have;

y = k(1.9) = -1.2×1.9^3 + 2.6×1.9^2 - 0.5×1.9 + 5 = 5.21 meters

Therefore, the function, k(x) = -1.2·x³ + 2.6·x² - 0.5·x + 5, does not model the height of the drone y as a function of time, x

Hey there!

"8x = 25"

In order for you to solve for "x-value" (or the equation) we have to DIVIDE both of your sides by 8

8x/8 = 25/8

Cancel out: 8x/8 because that gives you the value of 1 and you don't need it at the moment (in that equation that is)

Keep: 25/8 Because it solves for your equation

Your x equals: 25/8 aka 1 1/8 aka 3.125 (you could choose any one of these as your answer because they are all correct)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

1/3

Step-by-step explanation:

Only 20% / 60% = 1/3 of the foreign language students take technology as well, therefore the probability would be 1/3.

Greetings from Brasil...

Pure application of trigonometry - tangent

see the attachment

H = X + 6

and

TG 33 = X/60

X = 60.TG 33

X ≈ 39

H = X + 6

H = 39 + 6

Answer:

y = -2x + 5

Step-by-step explanation:

You use the equation y = mx + b, where m is the slope and b is the y-intercept. We see that the line hits the y-axis at 5, so that will be your b. To find the slope, use [tex]\frac{rise}{run}[/tex]. You have to go down 4 and right 2, so your slope will be [tex]-\frac{4}{2}[/tex] which simplifies to -2. Hope this helps!

Answer: y=2/-5x+5

Step-by-step explanation: