A drawer contains 8 blue socks, 8 black socks, and 4 white socks. Socks are picked at random. Explain why the events picking a blue sock and then another blue sock are dependent. Then find the probability.

Answer:

Step-by-step explanation:

For the first one, I believe you would need to use a rotation matrix; to rotate 90º counterclockwise, the matrices would look like ; you would then multiply those out. A reflection across the x-axis would be changing the sign of f(x) (from negative to positive or positive to negative), a reflection across the y-axis would be changing the sign of x, translation a units to the right would be subtracting a from x, translation b units up would be adding b to x. Rotation of 180º about the origin would be the same format as the first matrix, except it would be cos180 and cos0 on the top and sin180 sin0 on the bottom. Reflection across the y-axis would be changing the sign of x again.

OR

1. We know that, 'Translation shifts the figure in any direction'.

As, the function f(x) is translated 'a' units to the right, the new form of function is f(x-a).

Again, the function is translated 'b' units up, the final form of the function is f(x-a)+b.

2 and 3. We know that, ' Reflection flips the image over a line'.

As the function g(x) is reflected over y-axis, the new form of the function is g(-x).

As the function h(x) is reflected over x-axis, the new form of the function is -h(x).

4 , 5 and 6. We know that, 'Rotation turns the image around a point to a certain degree'.

Let us assume the function to be a point (x,y).

As the function is rotated by 90° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{90}R

90

(x,y) = ( -y,x ).

As the function is rotated by 180° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{180}R

180

(x,y) = ( -x,-y ).

As the function is rotated by 2700° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{270}R

270

(x,

Answer:

From the first bag the probability is 5 out of 15 or 1/3 simplified

The second bags probability is 4 out of 9

All the bags combined the probability is 9 out of 24

Step-by-step explanation:

The probability should be set up by putting the blue marbles as the numerator and the sum of all the marbles combined for the denominator

With everything said all you have to do is figure out the two steps an you’re good to go

Answer:

225.24099

Step-by-step explanation:

249.99(0.15) = 37.4985

249.99 - 37.4985 = 212.4915

212.4915(0.06) = 12.74949

212.4915 + 12.74949 = 225.24099

Step-by-step explanation:

=x²-10x-24

=x²-4x+6x-24

=x(x-4)+6(x-4)

=(x-4)(x+6)

hope it helps.

Answer:

1 Question= 26

2 Question=41

3 Question= 57

4 Question= 15

5 Question = 20

Step-by-step explanation:

Answer:

p = 3 or p = 7

Step-by-step explanation:

Answer:

p²-7p-3p+21=0

p(p-7)-3(p-3)=0

(p-3)(p-7)=0

either

p=3

or

p=7

Answer:

4y+29

Step-by-step explanation:

Collect like terms

3y + y = 4y

5 + 24 = 29

4y+29

Answer:

The answer is C, 40.32

Step-by-step explanation:

If you put 6.25 in your calculator times 40.32% you get 2.52. Then you add the 2.52 to 6.25 to get 8.77.

Answer:

a)  constant of proportionality is 3/5

b)  3.5cm per 1 minute

c)  21 cm water in trough after 6 min

d)  70 cm

Step-by-step explanation:

d)  21 / 6 = x / 20

    7 / 3 = x / 20    

    2x = 140

    x = 70

Answer:

6.04 inches

Step-by-step explanation:

1 in. = 100 Ft.

604 Ft / 100Ft = 6.04

Answer:

6.04 inches

Step-by-step explanation:

Given expression: 604 ÷ 100

The actual height of the building is 604 feet, and if Corbin wants to scale it down 1:100, then he would divide the height of the building by 100 to get the height in inches of the model.

Answer:

8/9

Step-by-step explanation:

I'm pretty sure after you make it a reciprocal you multiply it

Answer:

(7z-3)(z-5)

Step-by-step explanation:

7z^2-38z+15

(7z-3)(z-5)

Answer:

(z - 5)(7z - 3)

Step-by-step explanation:

Given

7z² - 38z + 15

Consider the product of the factors of the coefficient of the z² term and the constant term which sum to give the coefficient of the z- term

product = 7 × 15 = 105 and sum = - 38

The factors are - 35 and - 3

Use these factors to split the z- term

7z² - 35z - 3z + 15 ( factor the first/second and third/fourth terms )

= 7z(z - 5) - 3(z - 5) ← factor out (z - 5) from each term

= (z - 5)(7z - 3) ← in factored form

Answer:

The slope is 3.

Step-by-step explanation:

The equation for slope is either [tex]\frac{y2-y1}{x2-x1}[/tex] or [tex]\frac{y1-y2}{x1-x2}[/tex]. So this should be [tex]\frac{19-13}{6-4}[/tex], which is 3.

Answer:

Slope =

6

—

2

Step-by-step explanation:

First find the rise over run

Second use the format

Y2-y1

———-

X2-x1

Using the format you will get this

19-13

——

6-4

Next solve

Which then you get

6

—

2

Answer:

The answer is $9.40

it would be $9.40, hope this helped

Anno one came answer that without numbers

Step-by-step explanation:

Answer:

Although Stanton remained committed to efforts to gain property rights for married women and ending slavery, the women's suffrage movement increasingly became her top priority. Stanton met Susan B

Step-by-step explanation:

Answer:

The answer is b

Step-by-step explanation:

hope it helped bye :)

Answer:

26x2,

52xπ

Step-by-step explanation:

The perimeter of this semi-circle with a radius of 26 cm will be 81.64 cm.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let 'r' be the radius of the circle. The circumference of the circle will be

C = 2πr units

The radius of the semicircle is given as,

r = 26 cm

Then the circumference of the semicircle is half of the circle. Then we have

C = 1/2 x 2πr

C = πr

At r = 26 cm, then we have

C = 3.14 x 26

C = 81.64 cm

The perimeter of this semi-circle with a radius of 26 cm will be 81.64 cm.

More about the circumference of a circle link is given below.

https://brainly.com/question/27177006

#SPJ5

Answer:

-100

Step-by-step explanation:

-4 * 5 * 5

Answer:

-100

Step-by-step explanation:

Answer:

B) 4

Step-by-step explanation:

Use the slope formula:

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

Let:

[tex](x_1 , y_1) = (1 , -2)\\(x_2 , y_2) = (2 , 2)\\[/tex]

Plug in the corresponding numbers to the corresponding variables:

slope:

[tex]m = \frac{2 - (-2)}{2 - 1} \\m = \frac{2 + 2}{2 - 1}\\m = \frac{4}{1} = 4[/tex]

B) 4 is your answer.

~

Answer:

z= 2√2

x=2

y=2√2

Answer:

A

Step-by-step explanation:

Answer:

x < 5

Step-by-step explanation:

[tex]5x - 1 < 24\\5x < 25\\x < 5[/tex]

Answer:

any number under 5

Step-by-step explanation:

5(5) -1 =24

so anything under that would equal fewer than 24

Is this what you're asking?

To find the equation of a perpendicular line, you first need to find the negative reciprocal of the slope given. The slope is -1/3, so the slope of the perpendicular line will be 3

Now we just need to find the y intercept using the point (3, 2) and you can plug the coordinates in and then solve for b. Let's see what that looks like.

y=3x+b

2=3*(3)+b

2=9+b

-7=b  So now we know the y-intercept and slope. We just put them together now

y=3x-7

Answer:

100+20h

Step-by-step explanation:

100 is fee plus 20h which is 20 per hour