It has generally been believed that it is not feasible for men and women to be just friends (The New York Times, April 12, 2012). Others argue that this belief may not be true anymore since gone are the days when men worked and women stayed at home and the only way they could get together was for romance. In a recent survey, 186 heterosexual college students were asked if it was feasible for men and women to be just friends. Thirty-two percent of females and 57% of males reported that it was not feasible for men and women to be just friends. Suppose the study consisted of 100 female and 86 male students.
a. Construct a contingency table that shows frequencies for the qualitative variables Gender (men or women) and Feasible (yes or no).
b. Find the probability that a student believes that men and women can be friends.
c. If a student believes that men and women can be friends, what is the probability that this student is a male? Find the corresponding probability that this student is a female.
It has generally been believed that it is not feasible

Answer:

the one you've selected pink, (the one that looks like a U)

Step-by-step explanation:

if you can pass a vertical line through a supposed function and have it only cross once, it's a function.

Answer:

The rate at which the volume is decreasing when the snowball has a diameter of 4 inches is approximately 251.327 cubic inches per minute.

Step-by-step explanation:

Let suppose that snowball geometry correspond to a sphere. In this case, the volume of the sphere is:

[tex]V = \frac{4\pi}{3}\cdot R^{3}[/tex] (Eq. 1)

Where:

[tex]R[/tex] - Radius of the sphere, measured in inches.

[tex]V[/tex] - Volume of the sphere, measured in cubic inches.

We know that volume decreases due to melting, so we need an expression of the rate of change of volume in time. By differentiating (Eq. 1) we get:

[tex]\frac{dV}{dt} = 4\pi\cdot R^{2}\cdot \frac{dr}{dt}[/tex] (Eq. 2)

Where:

[tex]\frac{dV}{dt}[/tex] - Rate of change of the volume of the snowball in time, measured in cubic inches per minute.

[tex]\frac{dr}{dt}[/tex] - Rate of change of radius of the snowball in time, measured in inches per minute.

If we know that [tex]R = 2\,in[/tex] and [tex]\frac{dr}{dt} = -5\,\frac{in}{min}[/tex], the rate at which the volume of the snowball is decreasing is:

[tex]\frac{dV}{dt} = 4\pi\cdot (2\,in)^{2}\cdot \left(-5\,\frac{in}{min} \right)[/tex]

[tex]\frac{dV}{dt}\approx -251.327\,\frac{in^{3}}{min}[/tex]

The rate at which the volume is decreasing when the snowball has a diameter of 4 inches is approximately 251.327 cubic inches per minute.

Answer:

Alternate Interior Angles Theory

Step-by-step explanation:

Any number inside the angle is known as an Alternate Interior Angle.

Answer:

BRuh

Step-by-step explanation:

Girl my math skills are no where near subpar to that. Good luck!

Answer:

I think the answer is 35 hours to get the same amount of money

x^2 - 12x + 36 is a perfect square trinomial and can be written as (x-6)(x-6).

(x - 6)^2 = 44.

Take the square root of both sides to get...

x - 6 = ±√44 (Always make the square root + or - when you square root)

Add 6 to both sides...

x = √44 + 6

x = -√44 + 6

These are the 2 values of x.

You can also write it to be -0.633 and 12.633. (Once you round.)

Answer:

36 boys

Step-by-step explanation:

Answer:

18π

Step-by-step explanation:

Arc length for a parametric equation is:

s = ∫ₐᵇ √((dx/dt)² + (dy/dt)²) dt

dx/dt = -9 sin(9t)

dy/dt = 9 cos(9t)

s = ∫₀²ᵖⁱ √((-9 sin(9t))² + (9 cos(9t))²) dt

s = ∫₀²ᵖⁱ √(81 sin²(9t) + 81 cos²(9t)) dt

s = ∫₀²ᵖⁱ 9 dt

s = 9t |₀²ᵖⁱ

s = 18π

You can check your answer with geometry.  The curve is a circle centered at the origin with radius 1.  From 0 to 2π, the particle makes 9 revolutions, or travels 18π radians.  So the arc length is 1 × 18π = 18π.

Answer:

18π

Step-by-step explanation:

Answer:

From the image, we can see that ∠AOC = ∠AOB + ∠BOC

We are given the following values:

∠AOC = 104

∠AOB = 7x + 30

∠BOC = 9x + 42

Plugging these values in the equation above:

∠AOC = ∠AOB + ∠BOC

104 = 7x + 30 + 9x + 42

104 = 16x + 72

16x = 32

x = 2

Now that we have the value of x, we can easily find the value of ∠BOC

We are given that:

∠BOC = 9x + 42

∠BOC = 9(2) + 42           (since x = 2)

∠BOC = 18 + 42

∠BOC = 60°

Therefore, ∠BOC is 60 degrees

Answer:

each green line is 45 degrees

Step-by-step explanation:

Answer:

first box should be EAF then next FAL and the last would be ray AL and its a ray because it has one endpoint which is A.

Step-by-step explanation:

Answer:

i have no idea. But i will answer because i'm still learning.

Step-by-step explanation:

-2 (3a – 2) = 1/3(7 – 3a)

is whats the question

ok its i'm guessing      -2 (3a – 2) = 1/3(7 – 3a)

-2.15384615385

                         Hope this helps    ;)

Answer:

C dont trust me wait for someone else to anser

Step-by-step explanation:

is this angilic from vista hills and dessert view if so this is josh a

Answer:

5.5 liters hope this works for u

Step-by-step explanation:

Answer:

a=7.44...

Step-by-step explanation:

9a-2=65 (+2)

9a=67 (/9)

a=7.44...

Answer:

-7 I believe is the answer hope this helps

Answer:

1140

Step-by-step explanation:

3x(x + 2) - 3x

x = 19

3 * 19( 19 + 2) - 3 * 19

3 * 19(21) - 3 * 19

3 * 19 = 57

57(21) - 3 * 19

57 * 21 = 1197

1197 - 57

1140

Hope this helped!

Answer:

x = 2

Step-by-step explanation:

2x - 3 = 9 - 4x

6x - 3 = 9 (added 4x to both sides)

6x = 12 (added 3 to both sides)

x = 2 (divided 12 by 6)

hope this helps :)

Answer:

∠FJH ≅ ∠BJA

Step-by-step explanation:

From the image we can see that the only congruent relation ∠FJH has is with ∠BJA which is due to these angles being vertically opposite

So, ∠FJH and ∠BJA are vertically opposite and hence, congruent. We can say that ∠FJH ≅ ∠BJA

Answer: Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon. Round to the nearest tenth, if necessary. 24 b 15, 345 24, 156 7.5, 172.5 15, 165​

Step-by-step explanation:  sum, S, of the measure of the interior angles of a polygon with n sides is: ... The sum of the interior angles of a 24 -gon is 3960. ... angles of a polygon is (n−2)⋅180 , where n is the number of sides. ... Each exterior angle measures 36024=15 . ... The sum of the 24 interior angles is then 24⋅165=3960 .

Answer:

stupid noob

Step-by-step explanation:

Given:

The point P(-2, - 5) is rotated 90° about the origin, and then the image is reflected across the line  x= 3.

To find:

The the coordinates of the final image P’’.

Solution:

The point P(-2, - 5) is rotated 90° about the origin. It means the point is rotated 90° counter clockwise about the origin

[tex](x,y)\to (-y,x)[/tex]

[tex]P(-2,-5)\to P'(-(-5),(-2))[/tex]

[tex]P(-2,-5)\to P'(5,-2)[/tex]

Then the image is reflected across the line  x= 3.

[tex](x,y)\to (-x+6,y)[/tex]

[tex]P'(5,-2)\to P''(-5+6,-2)[/tex]

[tex]P'(5,-2)\to P''(1,-2)[/tex]

Therefore, the \coordinates of the final image P'' are (1,-2).

Answer:

4= Sx+10/2 simplifies to -s*x-1=0

Step-by-step explanation:

Answer:

200 baseball cards

Step-by-step explanation:

We write the expression:

2000 x 1/10 =

200

Answer:

i cant see

Step-by-step explanation:

make a more clear pic

Answer:

The length of the midsegment is 9 ⇒ (B)

Step-by-step explanation:

In a triangle,

Let us use this rule to solve our question

In Δ AC

∵ DE is the midsegment of it

∵ DE is opposite to the side AC

∴ The length of DE = 1/2 the length of AC

∵ The length of AC = 18

∴ The length of DE = 1/2 × 18

∴ The length of DE = 9

∴ The length of the midsegment is 9

The correct answer is B

Answer:

no

Step-by-step explanation:

Answer: The equation that represents the road is y= - 1/3x +1/3

Step-by-step explanation:

The perpendicular equation that represents the road that passes through the point is [tex]\mathbf{y = -\frac 13x + \frac 13 }[/tex]

The points of the red line (see attachment) are given as:

[tex]\mathbf{(x,y) = (0,2), (2,8)}[/tex]

Start by calculating the slope (m) of the line using:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{8 - 2}{2 -0}}[/tex]

[tex]\mathbf{m = \frac{6}{2}}[/tex]

[tex]\mathbf{m = 3}[/tex]

Next, calculate the slope (m2) of the perpendicular line using:

[tex]\mathbf{m_2 = -\frac 1m}[/tex]

So, we have:

[tex]\mathbf{m_2 = -\frac 13}[/tex]

The perpendicular line passes through point (1,0).

So, the line equation is calculated using:

[tex]\mathbf{y = m_2(x - x_1) + y_1}[/tex]

This gives

[tex]\mathbf{y = -\frac 13(x - 1) + 0}[/tex]

[tex]\mathbf{y = -\frac 13(x - 1) }[/tex]

Open bracket

[tex]\mathbf{y = -\frac 13x + \frac 13 }[/tex]

Hence, the line equation is [tex]\mathbf{y = -\frac 13x + \frac 13 }[/tex]

Read more about perpendicular equations at:

https://brainly.com/question/21740769