Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Play a sport
Total
Do not play a
sport
105
70
175
Boys
Girls
75
50
125
Total
180
120
300
Are being a girl and playing a sport Independent events? Why or why not?
O A. Yes, they are independent, because P(girl) = 0.58 and Pgirl plays
a sport) = 0.6.
O B. Yes, they are independent, because (girl) = 0.42 and girl plays
a sport) - 0.42
O c. No, they are not independent, because P(girl) = 0.42 and
P(girl plays a sport) = 0.42.
D. Yes, they are independent, because (girl) = 0.58 and P(girl plays
a sport) = 0.58

Answer: x = -3 or if not solving for x then -2x -6

Step-by-step explanation:

1 - 2x - 7 = 0

-6 - 2x = 0

add 2x on both sides

-6 = 2x

divide 2 on both sides

-6/2 = x

x = -3

Answer:

x = 25

Step-by-step explanation:

In the image shown you have correctly identified the angles as vertical. Vertical angles are equal. This means that the angle "4x - 25" is the same as the angle "75". we can write this as:

4x - 25 = 75

Add 25 to both sides

4x = 100

This means that 4 x's will make one hundred. If you divide 100 by four you get four equal parts that make 100. Divide both sides by 4.

x = 25

Answer:

0

Step-by-step explanation:

The equation is undefined.

Answer:

domain: {x ≠ 0}

Step-by-step explanation:

Answer:

40 percent

Step-by-step explanation:

Start by taking the difference of the two values:

35-25 = 10.

the $10 is how much the value increased by.

To get the percent that the $25 increased by, take 10/25 to get .4

This .4 can then be turned into a percentage when you multiply it by 100. = 40 percent.

You can check your answer by finding 40 percent of 25, which is 10.

Answer:

Step-by-step explanation:

Percy Jakcson maybe?

Answer:

6x - 15

6x - (5 · 3)

(3 · 2x) - 15

So, for #1, we can just simplify 3(2x - 5) to get another expression:

3(2x - 5),

6x-15

For the next one, we could make a new equation that equals 6x-15:

(3x)+(3x)+(5 *-3)

Then for the last one, how about rewrite it so all of the values are inversely negated?

3(2x - 5),

-3(-2x +5)

Answer:

Step-by-step explanation:

Answer:

The area is s².

Step-by-step explanation:

The area of a square is the length times the width. Because it's a square, the length and width are the same, so instead of multiplying the length and width, we can take the length of one side and square it. You said the length is "s", which I assume is a variable, so the area will equal s ⋅ s, or s².

Answer: 6120

Step-by-step explanation:

The equation for the interior angles of a polygon is (n-2)180. So using the equation, (36-2)180=(34)180=6120.

Answer:

Yes the square of the total spin of two electrons is conserved ( s^2)

Step-by-step explanation:

using the Hamiltonian operator H = A · (σ1 × σ2)

S = ( S1 + S2 )

S^2 = S²₁ + S²₂ + 2S₂ . S₂ ( apply the equation of time evolution )

Attached below is the detailed solution

Answer:

E

Step-by-step explanation:

Answer: 800

Step-by-step explanation:

Answer:

Step-by-step explanation:

S = 12mm

r  = 8mm

What is the measure, in radians, of the circle or central angle?

The measure of a circle in radians is 2 radians.  I think you want the central angle thata.

theta = S/r  radians

theta = 12/8  radians

theta = 1.5 radians  for the central angle

The measure in radians of the circle is 1.5π   radians

The angle between two radii of a circle is known as the central angle of the circle.

given: S = 12 mm

r  = 8 mm

circumference of a circle=2π radians

Since, 16π=2π radians.

1π= 2π /16

for,

12π =2π /16 *12

       = 3/2*π

       = 1.5π

[tex]\theta[/tex] = 1.5π   radians

Learn more about this central angle here:

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Answer:

The diameter cannot solve for the circumference, you need the Radius to do it.

Step-by-step explanation:

If you want to use the Diameter divide the Diameter by 2. Diameter=D Radius=R

So to find the circumference of a Circle, 2÷D=R. Now we do 2[tex]\pi[/tex]R. So now to find the answer we have to do 2x[tex]\pi[/tex]xR

Answer: 2,1 & 2

Step-by-step explanation:

[tex]\lim_{x \to c}[3g(x)][/tex] = 2, [tex]\lim_{x \to c}[f(x)+g(x)] = \frac{-1}{3}[/tex],  [tex]\lim_{x \to c}[\frac{f(x)}{g(x)} ] = \frac{1}{2}[/tex]

"A limit is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value."

We have Limit functions

[tex]\lim_{x \to c} f(x)[/tex] [tex]= \frac{1}{3}[/tex]

[tex]\lim_{x \to c} g(x)[/tex] = [tex]\frac{2}{3}[/tex]

(i) [tex]\lim_{x \to c} [3g(x)] = 3 \lim_{x \to c} [g(x)][/tex]

= [tex]3[/tex] × [tex]\frac{2}{3}[/tex]

= 2

(ii) [tex]\lim_{x \to c}[f(x)+g(x)][/tex]

= [tex]\lim_{x \to c} f(x)+ \lim_{x \to c} g(x)[/tex]

= [tex]\frac{1}{3}-\frac{2}{3}[/tex]

= [tex]\frac{1-2}{3}[/tex]

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

(iii) [tex]\lim_{x \to c}[\frac{f(x)}{g(x)} ][/tex]

= [tex]\frac{\lim_{x \to c} f(x)}{\lim_{x \to c} g(x)}[/tex]

= [tex]\frac{\frac{1}{3} }{\frac{2}{3} }[/tex]

= [tex]\frac{1}{2}[/tex]

∴ [tex]\lim_{x \to c}[3g(x)][/tex] = 2, [tex]\lim_{x \to c}[f(x)+g(x)][/tex] = [tex]\frac{-1}{3}[/tex] , [tex]\lim_{x \to c}[\frac{f(x)}{g(x)} ] = \frac{1}{2}[/tex]

Learn more about Limit and limit functions here

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Answer:

180 miles is answer

cuz it takes 80 miled to travel in 12 hours

Answer:

The speed of the current is 10 mph

Step-by-step explanation:

x= speed of the current

[tex]\frac{80}{20-x} + \frac{120}{20+x} = 12[/tex]

80 (20+x) + 120 (20-x) = 12 (20-x) (20+x)

x=10

Answer:

360

Step-by-step explanation:

first do 12x6 and then do the answer of thst times 5

1. The Agent Earned $6,303  

First, the real estate agency will earned 5.5%

5.5/100 * $382,000 = $21,010

Then, the agent earns 30% of $21,010

30/100 * $21,010 = $6,303

2. Basically, we're setting up an equation where Option A and Option B are the same amount.

For option A, you are making 23 dollars each hours, for 40 hours. (40*23)

For option B, you are making 4% of your sales. We're looking for how much she sells, so we can write that as x. (.04x)

Set the 2 options as equal and solve for x.   so x is  920(.04x

sorry if wrong it was really hard

3. If 90% are women, 10% are men.

If x is the total amount of people.

.1x = 320

Solve x from here.

FIANNLY IM DONE

Answer:

[tex]\text{Equation: }V=5\cdot 4\cdot 6,\\\text{Volume: }120\:\mathrm{in^3}[/tex]

Step-by-step explanation:

The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex].

Thus, we have the equation:

[tex]V=5\cdot 4\cdot 6[/tex]

Solving, we get:

[tex]V=5\cdot 4\cdot 6=\boxed{120\:\mathrm{in^3}}[/tex].

Answer:

120

Step-by-step explanation:

length time width time height

6 times 4 times 5

would be you equation the 120 would be your volume  

Answer: 24

Step-by-step explanation:

6 hot dogs for every 4 hamburgers

6*6 = 36

36 hot dogs for every ? hamburgers

since 6*6 equals 36, do 4*6

4*6 = 24

so 24 hamburgers

I can’t guarantee that this is right but I think it is

hopefully it’s helpful

Answer:

...........................................................................................................................................................................................i really dont know

Step-by-step explanation:

hay here is your answer and hope it's clear :) and if it's not clear [ download photo math] it maybe helpful for you ;)

Answer:

i believe its dependent

Step-by-step explanation:

Answer:

5.7.11.13

Step-by-step explanation:

My guess

Answer:

first 11 second is 12 and 13 third is 14

Step-by-step explanation:

Answer:

B. The graph would shift 5 units up.

Step-by-step explanation:

Before the change:

Before the change, the function was given by:

[tex]y = x^2 - 3[/tex]

After the change:

After the change, the function was given by:

[tex]y = x^2 + 2[/tex]

Considering the function as it was before the change, it can also be written as:

[tex]y = x^2 - 3 + 5[/tex]

Which means that 5 was added to the function, and when a number n is added to a function, there function is shifted n units up. So the correct answer to this problem is given by option B.

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, we need to be given the dimensions of the big cylindrical water bottle. Let us assume, that the big bottles has a dimension of radius 3 in and height 5 in.

Solution:

Firstly, we need to find the volume of the big cylindrical bottle, then we find the volume of the small cone.

Volume of the cylindrical bottle = πr²h = π(3²)5 = 45π in³

Volume of the small cone = πr²h/3 = π(1²)(3/3) = π in³

Therefore the number if cups required to fill the water bottle is the ratio of the volume of the cylinder to the volume of the small cone. Hence:

number of cone cups = 45π in³ / π in³ = 45 cups

Hence 45 cups of the cone would be needed to fill the cylindrical bottle

.460Answer:

Step-by-step explanation: