Are the events of drawing a rook from the bag of white

pieces and then drawing the king from the bag of

black pieces dependent or independent events? Find

the probability of this compound event.

Answers

Answer 1

Answer:

Independent events, 1/16

Step-by-step explanation:

What we must take into account is that they are 2 different bags, because in one bag are the black pieces and in another bag are the white feed, regardless of which piece is removed, one event has nothing to do with the other event being different bags.

Which means that they are independent events.

And the probability for each case would be 1/16, because the probability is one piece out of 16 that is in each bag.


Related Questions

find the area of a shape shown

Answers

Answer:

the answer is 78

Step-by-step explanation:

3x6 is 18

4x3 is 12

4x3 is 12

6x6 is 36

added together it is 78

I need help plz I’m confused will mark as Brainliest

Answers

Answer:

64π

Step-by-step explanation:

Tomas has a garden with a length of 2.45 meters and a width of 5/8 meters. Use benchmarks to estimate the area and perimeter of the garden?

Answers

Answer: The area is  1 1/4. The perimeter is 6.

Step-by-step explanation: 2.45 is about 2.5.   5/8 is about 1/2.  To find the area we need to multiply length times width.  2.5 is  2 and 1/2 which is 5/2. 5/2 times 1/2 is 5/4. To simplify it divide 5 by 4 which is 1 with remainder 1. 5/4 is 1 1/4. Therefore the area is 1 1/4 meters squared. To find the perimeter we have to add length + length + width + width. . 2.5 is the same thing as 2 1/2.  5/8 is about 1/2 if we use benchmarks.     2 1/2 + 2 1/2 +  + 1/2 + 1/2 is 6. The perimeter is 6.

The answer is 11/4 i did the math and got this

Which of the following equations is of a parabola with a vertex at (3, 0)?
Oy=x^2+3
o y=x^2-3
Oy= (x+3)^ 2
y=(x-3)^ 2

Answers

Answer:

D. y = (x - 3)²

Step-by-step explanation:

The parabola formula in vertex form is:

y = a(x - h)² + k

where the vertex is located at (h, k). Replacing with vertex (3, 0) we get:

y = a(x - 3)² + 0

y = a(x - 3)²

In all possible options the leading coefficient a is equal to one. Therefore:

y = (x - 3)²

Use the data set to answer the question. {22,26,28,35,45,63,91} What is the mean absolute deviation (MAD) of the data set? Enter your answer as a number rounded to the nearest tenth, like this: 42.5

Answers

Answer:

[tex]M.A.D = 18.9[/tex]

Step-by-step explanation:

Given: 22,26,28,35,45,63,91

Required: Mean Absolute Deviation

The first step is to solve for the mean of the given data

[tex]Mean = \frac{\sum x}{n}[/tex]

where x->22,26,28,35,45,63,91 and n = 7

[tex]Mean = \frac{22+26+28+35+45+63+91}{7}\\Mean = \frac{310}{7}\\Mean = 44.29[/tex]

Then; subtract the calculated mean from each data

[tex]22 - 44.29 = -22.29\\26 - 44.29 = -18.29\\28 - 44.29 = -16.29\\35 - 44.29 = -9.29\\45 - 44.29 = 0.71\\63 - 44.29 = 18.71\\91 - 44.29 = 46.71[/tex]

Get Absolute Values of the above results

[tex]|-22.29| = 22.29\\|-18.29| = 18.29 \\|-16.29| = 16.29\\|-9.29| = 9.29\\|0.71| = 0.71\\|18.71| = 18.71\\|46.71|= 46.71[/tex]

Calculate the mean of the above result to get the M.A.D

[tex]Mean = \frac{\sum x}{n}[/tex]

[tex]M.A.D = \frac{22.29+18.29+16.29+9.29+0.71+18.71+46.71}{7}\\M.A.D = \frac{132.29}{7}\\M.A.D = 18.8985714286\\M.A.D = 18.9[/tex]

Nth term of 9,13,17,21,25,29

Answers

Answer: The next 5 numbers would be "33,37,41,45,49

Step-by-step explanation:

Yes the next 5 number are 33,37,41,48,52 because the term to term rule is to add 4 so... 33 + 4 =37. 37 + 4 =41 41 + 4 = 48. And 48 + 4 =52. Hope this helped you :)

If g(x) = -4x + 5, find g(x+4).

Answers

Answer:

g(x + 4) = -4x - 11

Step-by-step explanation:

Since g(x) = -4x + 5, g(x + 4) = -4(x + 4) + 5

g(x + 4) = -4x - 11

Please help with this

Answers

Answer:

x=35

Step-by-step explanation:

When a is parallel to b, the two angles will add to 180

x+ 3x+40=180

Combine like terms

4x+40 =180

Subtract 40 from each side

4x= 180-40

4x= 140

Divide by 4

4x/4 = 140/4

x=35

Simplify by dividing 3/5 ÷ (-9/4)

Answers

Answer:

4/15

Step-by-step explanation:

You would have to multiply the fractions, but first reciprocate the dividend.

3/5 * 4/9

Multiply

3 * 4 = 12

5 * 9 = 45

12/45

Simplify using LCM, or the factor that applies to both sides which in this case is 3

12/3 = 4

45/3 = 15

The answer is 4/15

Answer:

4/-15

Step-by-step explanation:

[tex]\frac{3}{5}[/tex] ÷ [tex]\frac{-9}{4}[/tex]

Invert the second fraction and multiply

[tex]\frac{3}{5}[/tex]  ×[tex]\frac{4}{-9}[/tex]

= [tex]\frac{12}{-45}[/tex]

Simplify:

=[tex]\frac{4}{-15}[/tex]

What is the x-coordinate of the solution to the following system of equations? x − 2y = 2 3x + y = 6 x = −2 x = 0 x = 2 x = 3

Answers

Answer:

Answer C. x = 2

Step-by-step explanation:

Given:

x − 2y = 2

3 * ( x ) + y = 6

You need to group the x-coordinates of the system of equations.

Rewrite x − 2y = 2 , in such a way that it starts with x =...

x = 2y + 2

Substitute x = 2y + 2 in 3 * ( x ) + y = 6, which gives:

3 * ( 2y + 2 ) + y = 6

6y + 6 + y = 6

7y = 0

y = 0

Substitute y = 0 in x = 2(y) + 2 gives x = 2*0 + 2

So x = 2, which is answer C.

x - 6x + 2x - 2x

x - 6x + 0

-5x

The x-coordinate of the solution to the following system of equations x − 2y = 2 and  3x + y = 6 is x = 2. Option c is correct.


system of equations is given as,

x − 2y = 2    - - - - (1)
3x + y = 6  - -- - - -(2)
x coordinate of the solution to the following system of equations to be determined.


What is the equation?

the equation is the relationship between variables and is represented as a polynomial equation.

x − 2y = 2    - - - - (1)
3x + y = 6  - -- - - -(2)
From equation 1
x = 2y +2
put x in equation 2
3 (2y + 2) + y = 6
6y + 6 + y = 6
7y = 0
y = 0
Put y = 0 in x = 2y + 2
x = 2(0) + 2
x = 2

Thus, The x-coordinate of the solution to the following system of equations x − 2y = 2 and  3x + y = 6 is x = 2.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

If two quadrilaterals are congruent, then there must be _____ pairs of corresponding sides. 8 4 2 3

Answers

Answer:

is two quadrilaterals are congruent, ten there must be 4 pairs of corresponding sides.

Answer:

4 pairs of corresponding sides

Step-by-step explanation:

if two quadrilaterals are congruent, then they have the same sides and are identical

quadrilaterals have 4 sides

therefore, each of their 4 sides are identical to each other

making the answer 4 pairs of corresponding sides.

hope this helps!!!

(btw i just took the gradpoint test and the answer was right)

r: p = 5r – 2t What is this answer please.

Answers

Answer:

1/5(p+2t) = r

Step-by-step explanation:

p = 5r – 2t

Add 2t to each side

p+2t = 5r – 22t

(p+2t) = 5r

Divide each side  by 5

1/5(p+2t) = r

Answer:

[tex] r = \frac{p + 2t}{5} \\ [/tex]

Step-by-step explanation:

[tex]p = 5r - 2t \\ p + 2t = 5r \\ \frac{ p + 2t}{5} = \frac{5r}{5} \\ r = \frac{p + 2t}{5} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

What is the probability of flipping two coins and having both coins land on tails? A. 1/2. B. 1/4. C. 1/6. D. 1

Answers

Answer:

B

Step-by-step explanation:

P=(1/2)(1/2)=1/4

A piggy bank contains only nickels, dimes, and quarters. There is a total of 105 coins and the total value of those coins is $10.75. Find a general solution of the number of each coin. List three possible specific solutions.

Answers

105 coins
$10.75
20 nickels= $1
5 nickels= $0.25
10 dimes= $1
4 quarters= $1

90 dimes= $9
10 nickels=$0.50
5 quarters= $1.25
Totals: 105 coins $10.75

20 quarters= $5
30 dimes= $3
55 nickels= $2.75
Totals: 105 coins $10.75

Solve the equation using square roots.

[tex](x+2)^{2} = 36[/tex]

Answers

Answer:

x = 4, x = - 8

Step-by-step explanation:

(x+ 2)² = 36

√(x+2)² = + √36     √(x+2)² =  -√36  

x+2 = 6                     x+2 = -6

x= 4                          x = - 8

Which is a characteristic of a studio apartment?
a)typically has multiple bedrooms
b)has multiple floors
c)has multiple units in the same building
d)has one room for the kitchen, living room, and bedroom

Answers

Answer:d

its a apartment thats just one big room


1. Solve for w in the equation W/5 = 25
A.W = 5
B.W = 125
C. W = 30
D.W = 20

Answers

Answer: w = 125

Explanation: Since w is being divided by 5, to solve for w,

multiply both sides of the equation by 5.

On the left side, the 5's will cancel

and on the right side, 25(5) is 125.

So w = 125.

Please do not do this problem in your head.

Show the work that it takes to get w by itself.

Please help me .............

Answers

Answer:

The first one.

Step-by-step explanation:

For something to be considered to be a graph, every x value must have 1 y value. It does not matter if y values are the same, but you MUST make sure there is ONLY ONE of each value. So for example the second one wouldn't be a function because -5 appears twice for the x values, but with different y values. This would mean when graphed, it would fail the vertical line test (if you put a vertical line anywhere on the graph you will only get one point).

Answer:

The first one

Step-by-step explanation:

because it is the only one that actually applies to the function

which choice is equivalent to the product below when x≥x​

Answers

Answer:

B.

Step-by-step explanation:

If you dont understand what I wrote, just ask!

Answer:

B

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Given

[tex]\sqrt{6x^2}[/tex] × [tex]\sqrt{3x}[/tex]

= [tex]\sqrt{18x^3}[/tex]

= [tex]\sqrt{9(2)x^2(x)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] × [tex]\sqrt{x^2}[/tex] × [tex]\sqrt{x}[/tex]

= 3 × [tex]\sqrt{2}[/tex] × x × [tex]\sqrt{x}[/tex]

= 3x × [tex]\sqrt{2}[/tex] × [tex]\sqrt{x}[/tex]

= 3x[tex]\sqrt{2x}[/tex] → B

The recipe calls for 5 cups of strawberries for every 3 cups of whipped
cream. Write this comparison as a ratio.
OA) 5:3
OB) 3:5
OC) 5>3
OD) 3/5

Answers

Answer:   OA)  5:3

Step-by-step explanation:

5:3

5 to 3.  Or 5/3.      Are the 3 ways that you.can write a ratio.  

Answer:

OA, OB, OD

Step-by-step explanation:

It does depend on which side each number is on. If you are comparing the stawberries to whipped cream it would be 5:3 (OA).

But if you were to compare whipped cream to stawberries it would be 3:5 (OB) or 3/5 (OD)

1.Segments AB, EF, and CD intersect at point C, and angle ACD is a right angle. Find the value of g. Do NOT include degrees.
2.Find the area of the unshaded part of the figure
3. In the figure, angles c and e are vertical angles. Angles a and c are complementary angles. The measure of angle d is 124 degrees and the measure of angle c is 56 degrees.

Answers

Answer:

See below;

Step-by-step explanation:

1 . Consider the step below;

[tex]m< DCA = 90 degrees - Given ,\\m< ACB = 180 degrees - Straight < ,\\\\m< DCA + m< DCB = 180,\\m< DCB = 90 degrees,\\\\By Parts Whole Postulate - m< DCB = m< DCE + m< ECB,\\m< DCB = m< DCE + m< ECB,\\90 = 53 + g,\\Conclusion ; ( g = 37 degrees )[/tex]

Thus, Solution ; g = 37 degrees

2 . Knowing that these circle are " circumscribed " in this rectangle so that they are perfectly aligned, considering the length of this rectangle to be 20 inches, let us determine the radius;

[tex]Diameter Of 1 Circle - ( 20 inches ) / 4 = 5 inches,\\Radius of 1 Circle = ( 5 inches ) / 2 = 2.5 inches,\\\\Area of 1 Circle = \pi r^2 = \pi * ( 2.5 )^2 = 6.25\pi,\\Area of 4 Circles = 6.25\pi * 4 = 25\pi,\\Area of 4 Circles = Area of Shaded Region,\\\\Conclusion ; Area of Shaded Region = 25\pi[/tex]

Thus, Solution ; 25π

3. Let us first consider the given, then solve for the value of a, b, e;

[tex]Angles c + e - Vertical Angles,\\Angles a + c - Complementary,\\( a + c ) = 90,\\Angle c = 56 degrees,\\a + 56 = 90,\\Conclusion ; a = 34 degrees,\\\\[/tex]

[tex]m< e = m< c,\\Conclusion ; e = 56 degrees[/tex]

[tex]m< e + m< a + m< b = 180 - Straight Line,\\56 + 34 + m< b = 180,\\m< b = 180 - 56 - 34,\\Conclusion ; b = 90 degrees[/tex]

Solution; a = 34°, b = 90°, e = 56°

The length of a rectangle is given by x + 2 and its width is equal to 3. Give a simplified expression of the area of this rectangle.

Answers

Given:

Length,l = x + 2

Breadth,b = 3

To find out:

Find the area of rectangle?

Formula used:

Area of rectangle = length × breadth

Solution:

We know that,

Area of rectangle = length × breadth

= ( x + 2 ) × 3

= 3x + 6

Simplify the following expression 3^2/5 x 3^-7/5. I think it is 1/3. 3^-5/5

Answers

Answer:

1/3

Step-by-step explanation:

3^2/5 x 3^-7/5

We know that a^b* a^c = a^(b+c)

3^(2/5 -7/5)

3^ (-5/5) = 3^ -1

We know that a^-b = 1/ a^b

3^-1 = 1 / 3

15 POINTS!!!ASAP!!!HELP!!!!!! I WILl MARK THE BRANLIEST!!!The graph relates the number of gallons of white paint to the number of gallons of red paint Jess used to make the perfect print. Write an equation that describes the relationship.

Answers

Answer:

The white paint is 1.5 times the red paint. 1.5 is the same as 1 1/2 or 3/2. x = 3/2 y

Step-by-step explanation: In the graph there is one point where both x and y is a whole number.  3,2  . 3 white paint is equal to 2 red paint. You divide 3 by 2 which is 1.5, or 1 1/2 or 3/2. The relationship is that x is 3/2 times y. x = 3/2y

Find the perimeter of a square that has a side that is 4.5 meters long.

Answers

Answer:

[tex]18m[/tex]

Step-by-step explanation:

[tex]P=4a=4*4.5=18m[/tex]

Answer:

Perimeter = 18m

Step-by-step explanation:

square = has four sides

P = perimeter

P = 4 · 4.5 = 18m

Perimeter = 18m

Find the area of the trapezoid PART. Need this done by Saturday 6/5/20 11:00 AM

Answers

Answer:

Area(PART)= 7.5 u^2

Step-by-step explanation:

RT=1 unit

PA=4 units

Distance between T (or R) and PA= 3 units

RT;PA = Bases

T (or R)--> PA= Altitude/Height

Area of trapezoid= Alt(B1+B2)/2

--> 3(1+4)/2

=> 3*5÷2

=15/2

=7.5

Thanks

How many yellow-collared macaws would
have a combined mass of 1 kilogram?

PLS HELP BEST ANSWER GETS BRAINLESST AND A FOLLOW ​

Answers

The answer should be 4

doing math need help on it ​

Answers

Answer:

386 that lay eggs

Step-by-step explanation:

440-39= 401 hens

401hens- 15= 386

Answer:

386 that lay eggs

440-39= 401 hens

401 hens- 15= 386

:-)

Area of circle =
12 x square units
36 y square units
6 Square units

Answers

What’s the area of the circle ? My guess is the last one probably , Hope this helps...

What is the maximum value?

Answers

Answer:

the maximum value is 3

Step-by-step explanation:

The maximum value of the function y = -2+5sin(pi/12(x-2)) is determined by taking the first derivative of the function. The first derivative is equal ( 5 pi/ 12 )* sin ((pi/12) (x-2)) = 0. x is equal to 4472 through the calculator. Substituting to the original equation, the maximum value is 3.

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