Consider a situation in which p(x) = and p(y) = . if p(x and y) is = , which best describes the events? they are independent because p(x) · p(y) = p(x and y). they are independent because p(x) p(y) = p(x and y). they are dependent because p(x) · p(y) = p(x and y). they are dependent because p(x) p(y) = p(x and y).

Answer:

13.125 inches wide

Step-by-step explanation:

5% more than 12.5 which is 12 1/2 as a decimal, equals 13.125 inches.

Multiply your needed fabric  width (12.5 or 12 1/2) by (1 + %/percent you're increasing it by) to equal the width you cut instead:

[tex]12.5(1+5) = 12.5(1.05) = 13.125[/tex]

Answer:

x-10+2x+5+35=180

3x-5+35=180

3x=180-50

x=150÷3

x=50

Therefore option D is write answer

Answer:

D   (x = 50°)

Step-by-step explanation:

Angles in a triangle add up to 180°.

             ∴ (2x + 5)° + (x - 10)° + 35° = 180°

                    2x + x + 5 - 10 + 35 = 180

                              3x + 30 = 180

                                  3x = 150

                                    x = 50°

Hope this helps!

Answer:

the ratio of perimeters is 3/5

the ratio of areas is 9/25

Step-by-step explanation:

first we divide the given sides of both figures

perimeter=side 1/side 2

=15/25

p=3/5

to find the ratios of the area

=(side 1/side 2)^2

=(3/5)^2

=9/25

Answer:

the ratio of perimeters is 3/5

the ratio of areas is 9/25

Answer:

Mostly millimeter

Step-by-step explanation:

Length has several unit like m,cm, mm, feet, miles, inches, km etc

we measure the length in units which is more understandable or readable. like thickness of mobile is around 3mm to 1cm or we can even measure in inches like .5inch but if we measure it in meter or feet it will be difficult to understand, read and write similarly the unit of length most suitable for measuring the height of a backyard tree is meter or feet because the length of tree is around 10 feet to 25 feet or 2meter to 6meter if we measure the length in cm or mm or in inches then it will be difficult to understand, read and write.

Answer:

The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex] but in this case we see that a diameter is being used therefore we can get rid of the 2 and the r because that is what the diameter and just replace d into there like this [tex]C=d*\pi[/tex].

We can then input the value and we get that [tex]C=1*\pi[/tex] which then just narrows down to [tex]C=3.142[/tex].

Hope this helps!  Let me know if you have any questions

The other number if the average of two numbers is 41 and one is 27 is 55

Average of number is also known as the mean.

Let the unknown number be "x" such that:

x +27/2 = 41

Determine the value of x

x + 27 = 2(41)
x + 27 = 82
x = 82 - 27

x = 55

Hence the other number if the average of two numbers is 41 and one is 27 is 55

Learn more on average here: https://brainly.com/question/25965491

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Answer:

C) <AFL

Step-by-step explanation:

The middle angle typically goes in the middle of the three letters. So, the naming should look like <FAL or <LAF. The letter A would have to remain in the middle for the naming to be correct.

Angles can be named in these following ways:

- By three capital letters (vertex (middle point) always in the middle)

- By one capital letter (typically the vertex)

- By a lowercase letter or number that is in the middle of the angle

Therefore, the incorrect naming would be C) <AFL, since the vertex isn't in the middle.

Hope this helps!! If you have questions please let me know in the comments!

Answer:

The radius of the circle r=12.

The area of a circle is 144π.

Step-by-step explanation:

The radius of the circle is r where 2πr=24π, r=12.

The area of a circle with radius 12 is

A=πr², A=π12², A=144π.

Answer:

3000

Step-by-step explanation:

12x250=3000

Answer:

Step-by-step explanation:

Average rate of change within an interval is the slope of the endpoints.

The endpoints are:

The slope is

Correct choice is C

Answer: -3

--

To find the Average rate of change within an interval use the slope of the endpoints.

(- 1, 6) and (0, 3)

The slope is

[tex]\frac{3-6}{0-(-1)}=\frac{-3}{1}=-3[/tex]

Hope this helps!

Answer:

10

Step-by-step explanation:

32 - 12 (because C is 12 years younger) = 20

20 / 2 (because twice Anna's age, so we do the inverse) = 10

Anna is 10 years old.

Hope this helps!

Answer:44

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The number is in the tenths spot so you do 0.90 times 10 which gives you 9/10.

Answer:

b/4

Step-by-step explanation:

After rewriting the quotient as a fraction,

[tex]\dfrac{2ab}{8a}[/tex]

We can look for common factors to reduce it. 8a and 2a both have the common factor 2a, and since 2a = 1 · 2a and 8a = 4 · 2a, we can reduce our fraction down to

[tex]\dfrac{1\cdot2a\cdot b}{4\cdot2a}=\dfrac{1\cdot b}{4}=b/4[/tex]

Answer:

254.34 square feet

Step-by-step explanation:

Area of a circle: πr²

Given:

Substitute the given values into the formula:

A = (3.14)(9)²

A = (3.14)(81)

A = 254.34 ft²

Learn more here:

brainly.com/question/13658549

brainly.com/question/27499386

Answer:

h = 5.80

[tex]V = \pi r^2h[/tex]

[tex]h = \frac{V}{\pi r^2} = \frac{944.11}{\pi \cdot 7.2^2} = 5.79[/tex] ≈ 5.80

Answer:

B

Step-by-step explanation:

1,2  2,3  1,6  1,9  3,10  2,11  1,13  3,15  3,16  2,17

x,y

x= how many goals they made were the same

y= the actual number of soccer goals

(This is just how I organized how to make the chart)

Answer:

x = -a or x = -b

Step-by-step explanation :

Answer:

x + y = 12

40 x + 120 y = 640

Step-by-step explanation:

Answer:

[tex]\textsf{D)} \quad y=-(x+2)^2-4[/tex]

Step-by-step explanation:

Vertex form of a quadratic equation:  

[tex]y=a(x-h)^2+k[/tex]

where:

From inspection of the graph, the vertex (turning point) is (-2, -4).

Substituting the vertex into the equation:

[tex]\implies y=a(x-(-2))^2+(-4)[/tex]

[tex]\implies y=a(x+2)^2-4[/tex]

As the parabola opens downwards, [tex]a < 0[/tex]:

[tex]\implies y=-a(x+2)^2-4[/tex]

The curve intercepts the y-axis at (0, -8).

Inputting this into the equation and solving for [tex]a[/tex]:

[tex]\implies -8=-a(0+2)^2-4[/tex]

[tex]\implies -4=-4a[/tex]

[tex]\implies a=1[/tex]

Therefore, the equation of the graph is:

[tex]y=-(x+2)^2-4[/tex]

Answer:

y = -(x + 2)² - 4

Step-by-step explanation:

Vertex form of an equation :

y = a(x - h)² + k

Substituting the coordinates of the vertex in the equation :

y = (x -(-2))² + (-4)

y = (x + 2)² - 4

y = -(x + 2)² - 4 (as the graph  opens downwards)

Answer: 14

Step-by-step explanation: The Pythagorean Theorem states that a^2 + b^2 = c^2, where a=leg one, b=leg two, and c=hypotenuse. Using this, our formula will be 12^2 + 7^2. Twelve squared is 144, and seven squared is 49. Added together, the sum is 193. To change this to an unsquared form we must square root it. [tex]\sqrt{193}[/tex]  equals about 13.89. Fourteen if you round up to the nearest whole number.  But just a warning, I don't know what place you are supposed to round to so you may have to use the underlined value instead.

Answer:

Using pythagoras theorem : hypotenuse² = opp² + adj ²

: hyp² = 12² + 7²

hyp² = 193

therefore hypotenuse = root of 193

Hope it helps

Answer:

4π/2

Step-by-step explanation:

Any one full pattern in the graph is called a cycle, and the length of an interval over which a cycle occurs is called the period.

so the distance between the top of the first 2 waves is 4π/2 so thats the peroid

Area of the rectangle

Area of trapezoid

Total

Using linear function concepts, it is found that representation of the value of -4.8 is given by:

It means that there are 4.8 thousand less sales for every dollar the price is increased.

A linear function is modeled by:

y = mx + b

In which:

In this problem, the model for the number of sales(in thousands), with the price at x dollars, is given by:

f(x) = -4.8x + 121.02.

The slope is of -4.8, which means that when x increases by 1, y decreases by 4.8 thousand, hence the correct option is given by:

It means that there are 4.8 thousand less sales for every dollar the price is increased.

More can be learned about linear function concepts at https://brainly.com/question/24808124

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Answer:

y = (x + 3)² - 9

Step-by-step explanation:

Parabolic Equation (with vertex) :

Answer: Heyaa! ~

   10. 8√2

   11. 2h²√3

   12. 2h³√5k⁴

Step-by-step explanation:

    - Lets solve it together!

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Hopefully this helps you!