1. A chess set has 32 pieces, 16 black and 16 white. In each color, there
are 8 pawns, 2 rooks, 2 Knights, 2 bishops, 1 queen and 1 king.

a. Find the probability that a piece selected at random is a white rook.
Explain how you found your answer.

b. How many ways can you choose one white piece and one black
piece? Explain how you found your answer.

c. How many ways can you choose 3 pieces from the 4 kings and
queens (black king, white king, black queen, white queen) to place
on 3 specific spaces on the chessboard? Is this a permutation or a
combination? Explain.

I REALLY NEED HELP WITH THESE AND FAST.

Answers

Answer 1

Answer:

I believe the answer is A.

Step-by-step explanation:

I don't really know how to really explain it tho

Answer 2

a. The probability that a piece selected at random is a white rook is 1/16.

b. 256 ways can you choose one white piece and one black piece.

c. 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.

Given that, a chess set has 32 pieces, 16 black and 16 white. In each colour, there are 8 pawns, 2 rooks, 2 knights, 2 bishops, 1 queen and 1 king.

What is the formula to find the probability of an event?

The formula to find the probability of an event is P(E)=Number of favourable outcomes/Total number of outcomes.

a. The probability that a piece selected at random is a white rook

=2/32=1/16

Therefore, the probability that a piece selected at random is a white rook is 1/16.

b. Number of ways can you choose one white piece and one black

piece=16×16=256

Each white piece can go with a black piece 16 times and the same the other way.

Hence, 256 ways can you choose one white piece and one black piece.

c. nPr=P(4,3)=4!/3=24/3=8 ways.

Hence, 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.

This is a permutation.

a. The probability that a piece selected at random is a white rook is 1/16.

b. 256 ways can you choose one white piece and one black piece.

c. 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.

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Related Questions

Marco has 2 bags of flour with 6 2/3 cups of flour in each bag. He makes 6 batches of muffins and uses 1 2/3 cups of flour for each batch. How many more batches of muffins can Marco make with the flour he has left?

Answers

Answer:what did you get

Step-by-step explanation:

3) (Infer) What would happen if two kinds of animals living in the same habitat had the same niche?
4) Why might an animal need to move to a different habitat?


I report people who add links in there answer or use safari

Have a good day! :)

Answers

1) if they had the same niche they either live in different areas of the niche due to adaptation or one of them will die due to competition with the other animal.
2) they might need to move to a different habitat due to lack of resources and the competition was better adapted to the circumstances.
hope this helps

Which histogram correctly displays the information above

Answers

Answer:  The answer is c

If f(x) = x + 1 and g(x) = 2x - 7, which expression is equivalent to [fog|(3)?

Answers

Answer and Step-by-step explanation:

First, we plug in the value of 3 for x in g(x), then we plug the answer os g(x) into the value of x in f(x).

g(3) = 2(3) - 7

Multiply 2 by 3, then subtract 7.

g(3) = 6 - 7

g(3) = -1

Now, we plug -1 for x in f(x).

f(g(3)) = f(-1) = -1 + 1

f(-1) = 0

The value of f(g(3)) is 0.

#teamtrees #PAW (Plant And Water)


a. Find three rational numbers between 1/4 and 0.25 repeating
b. Find three rational numbers between 1/3 and 0.34 repeating

Answers

a. 0.250006, 0.250007, 0.250008
b. 0.3330001, 0.3330002, 0.3330003

By using the definition of rational numbers, we can get:

a)  0.2501,  0.2502,  0.2503b) 0.334, 0.335, 0.336

How to find rational numbers?

Remember that a rational number is a number of the form:

N = a/b

Where a and b are integer numbers. Also, any number with a finite number of digits (or infinite repeating) after the decimal point is a rational point.

a) First, we want to find 3 rational numbers between 1/4 and 0.252525...

We can rewrite:

1/4 = 0.25

Then we want to find 3 rationals between 0.25 and 0.2525...

For example, 0.2501 meets this requirement, is larger than 0.25 and smaller than 0.2525...

Another two examples will be 0.2502 and 0.2503

b) Now we have 1/3 = 0.333... and 0.3434...

3 rational numbers between these two are:

0.333... < 0.334 < 0.3434...

0.333... < 0.335 < 0.3434...

0.333... < 0.336 < 0.3434...

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The combined SAT scores for the students at a local high school are normally distributed with a mean of 1527 and a standard deviation of 295. The local college includes a minimum score of 1380 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement

Answers

Answer:

69.15% of students from this school earn scores that satisfy the admission requirement.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 1527 and a standard deviation of 295.

This means that [tex]\mu = 1527, \sigma = 295[/tex]

The local college includes a minimum score of 1380 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement?

The proportion is 1 subtracted by the pvalue of Z when X = 1380. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1380 - 1527}{295}[/tex]

[tex]Z = -0.5[/tex]

[tex]Z = -0.5[/tex] has a pvalue of 0.3085

1 - 0.3085 = 0.6915

0.6915*100% = 69.15%

69.15% of students from this school earn scores that satisfy the admission requirement.

Use the graph that shows the solution to f(x) = g(x).
f(x) = 2x - 4
8(x) = 2x2 - 4
-4
-3
-2
1
f(x)
-2
-3
What is the solution to f(x) = g(x)?
Select each correct answer.
g(x)
x= -1
x = 0
x = 1
9(x) 4
-21
-5
-3
2
x = 2
-2
13
f(x)

Answers

Answer:

a

Step-by-step explanation:

put it into desmos and you get that

f Andre sold 16 magazine subscriptions this week, would he reach his goal? Explain your reasoning.

Answers

Answer:

What are some other numbers of magazine subscriptions Andre could have sold and still reached his goal?

Write an inequality expressing that Andre wants to make at least $68.

Write an inequality to describe the number of subscriptions Andre must sell to reach his goal.

⚠️ PLEASE HELP !!!

which of the following diagram is a counterexample to this statement ? (Select all that apply)

Answers

Answer:

C. & D

Step-by-step explanation:

This would be the answer since countering the others it's 90 degrees. While the others are able to add up to 180 degrees. :)

Transform the given function f(x) as described. f ( x ) = x 3 Translate right 2 units Translate up 3 units

Answers

Answer:

Step-by-step explanation:

f(x) = x^3

To get this to move right, you must do the opposite to what you think you should do.

f(x) =(x - 2)^3.  

That looks like it should go left, but it doesn't. It does go right. Suppose you want to know where (0,0) has moved to. If you put x = 2 into x - 2 you get a value of y = 0. That's where the point 0,0 has moved to. It has gone to 2,0

Now you want f(x) to move up 3 units.

f(x) = (x - 2)^3 + 3 The y value lf x = 2 moves up 3 units

Let's see if this is correct.

If you look at the graphs,

The red one is y = x^3The blue one is y = (x - 2)^3The green one is y = (x - 2)^3 + 3

The point 0,0 has been marked for the blue one as it shifts to the right and becomes (2,0) and up 3 in the green graph.

Select all the expressions that are equivalent to 4x + 2. A 8x +4 B 1/2(8x + 4) C] 1/2(2x + 1) D 2 (2x + 1) E 2x + 2x +1+1​

Answers

Answer: B and D i looked it up and it said that

Step-by-step explanation:

Answer:

D: 2(2x + 1)

the only one I could find sorry

Step-by-step explanation:

15 is 60% of what number?

Answers

60% of 25 is 15. 100% of 25 is 25, therefore 60 percent of 25 equals 15.

15 is 60% of the number 25

To find the number of which 15 is 60%, we can set up the following equation:

0.60 * x = 15

Here, x represents the unknown number.

To solve for x, we divide both sides of the equation by 0.60:

x = 15 / 0.60

Evaluating the division:

x = 25

Therefore, 15 is 60% of 25.

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Flowers can contain one or both sexes of flower parts. A ___ is the B____ is the C ____ is the All of these are male or female?​

Answers

Answer:

Answer:A) Anther( male )

B) Filament or stalk

Explanation:-The male parts of the flower are called the stamens and are made up of the anther at the top and the stalk or filament that supports the anther.

can someone help me answers these questions

Answers

Answer:

3) 156°

4) 24°

5) 24°

6) 24°

Step-by-step explanation:

m∡2: 180 - 156 = 24°  

m∡3:  156° (is vertical to angle labeled as 156°)

m∡4:  24°  (is vertical to angle 2)

m∡5:  156°

m∡6:  24° (alternate-interior to angle 4)

m∡7:  156° (corresponding angle with ∡3)

m∡8:  24° (vertical with angle 6)

Answer:

Step-by-step explanation:

m∠2 = m∠4 = m∠8 = 180° - 156° = 24°

m∠8 = 156°

Use the information and table to answer the following questions.
A sociologist was interested in determining if there was a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred. A random sample of 93 adults revealed the following data. Use a Chi-Square independence test to determine if age and type of movie preferred are independent at the 5% level of significance.
18-23 years old 24-29 years old 30-35 years old Totals
Drama 8 15 11 34
Science Fiction 12 10 8 30
Comedy 9 8 12 29
Totals 29 33 31 93
1. State the Null Hypothesis
A) Age and type of movie preferred are not independent.
B) Age and type of movie preferred are independent
C) Age and type of movie preferred are not the same
D) Age and type of movie preferred are related.
E) Cannot be determined.
2. State the alternative hypothesis.
A). Age and type of movie preferred are dependent.
B) Age and type of movie preferred are independent.
C) Age and type of movie preferred are not related
D) Age and type of movie preferred are superior.
E) Cannot be determined.

Answers

Answer:

1. B) Age and type of movie preferred are independent

2.A). Age and type of movie preferred are dependent.

Step-by-step explanation:

1. State the Null Hypothesis

B) Age and type of movie preferred are independent

2. State the alternative hypothesis.

A). Age and type of movie preferred are dependent.

This is chi square independence test therefore we will test the independence of the two factors  age and the type of movie preferred.

The null hypothesis is formulated as

Age and type of movie preferred are independent

against the claim

Age and type of movie preferred are dependent.

The City of Minneapolis is deciding whether to install a stoplight or a stop sign at a very dangerous intersection. Every time a car goes through the intersection, it either is safe, gets in a minor accident, or gets in a major accident. The stoplight would prevent crashes more often, but they would be more costly if they did occur.
The City of Minneapolis performs 800800800 simulations of a car going through the intersection with a stoplight and with a stop sign. Once they decide whether to install a stoplight or a stop sign, they expect 400040004000 cars to travel through the intersection in the next year.
What is the expected damage at this intersection in the next year if the City of Minneapolis installs a stoplight? \$$dollar sign
What is the expected damage at this intersection in the next year if the City of Minneapolis installs a stop sign? \$$dollar sign
To minimize the expected damage, The City of Minneapolis should install a

.
(If necessary, round your answers to the nearest dollar.)
The following table shows damage from each type of accident depending on whether the City of Minneapolis installs a stoplight or a stop sign.
Stoplight Stop sign
Major accident \$900$900dollar sign, 900 \$700$700dollar sign, 700
Minor accident \$600$600dollar sign, 600 \$200$200dollar sign, 200
The following table shows the results from the traffic simulation.
Car result Stoplight Stop sign
Major accident 151515 191919
Minor accident 242424 313131
No accident 761761761 750750750
Total 800800800 800800800

Answers

Answer:

Stoplight (75*$900) + (120*$600) + (3805 * $0) = $139500

Stopsign (95*$700) + (155*$200) + (3750* $0) = $97500

Step-by-step explanation:

To minimize damage, a stop sign should be installed.

Ixl . R.8 Trigonometric ratios : Find a side length
Help please

Find FG

Answers

Answer:

FG = 2.02

Step-by-step explanation:

tan 56° = 3/FG

1.4826 = 3/FG

1.4826FG = 3

divide both sides by 1.4826:

FG = 3/1.4826

FG = 2.02

Marissa says that lines a and D will eventually intersect. Is she correct? Explain.
What’s is this answerrr

Answers

Do you have a picture or something cause nobody can answer your question without a picture….. so yea

Answer:no, The lines are skew

Step-by-step explanation:

I took the test

Help answer helpppp ASAP this TIMED.
I will mark brainliest ´


Please answer question 3

Answers

Answer:

57/8 or 7 1/8

Step-by-step explanation:

I think that you would find how many times it fits in the graph which I found it fit three times so you would multiply th e length by three.

Two spheres M and N have volumes of 500 cubic cm and 9500 cubic cm respectively. Find the ratio of their radii.

Answers

Answer:

4.9:13.1

Step-by-step explanation:

V=4/3*pi*r^3

Ms. Moore has a garden in the shape of a rectangle with width measuring 8 km and a length measuring 14 km. What is the area of the garden? * ​

Answers

Answer: A = 112km^2

Explanation:

A = L x W
A = 14km x 8km
A = 112km^2

Please help I will give brainliest

Complete the square to find
the vertex of this parabola.
x2 - 2x + y - 4 = 0
([?], [ ]

Answers

Answer:

1,5 should be correct this should be correct let me know and mark me brainless if it is thanks

The vertex of the parabola is,

⇒ (1, 5)

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The equation is,

x² - 2x + y - 4 = 0

Now, We can change it into vertex of this parabola as;

x² - 2x + y - 4 = 0

x² - 2x + 1 - 1 + y - 4 = 0

(x - 1)² + y - 5 = 0

(x - 1)² = - y + 5

(x - 1)² = - 1 (y - 5)

Thus, The vertex of the parabola is,

⇒ (1, 5)

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The marketing manager of a tourist company wants to be able to predict the number of calls to a toll free number asking for pamphlets, maps and other tourist related information based upon the number of advertisements placed the previous week, the number of calls received the previous week, and the number of airline tour bookings for the current week.

What statistical technique is describe above?

Answers

Answer:

multiple regression

Step-by-step explanation:

In the field of statistics, the multiple regression is the statistical technique which uses the various explanatory variables for predicting the outcome of the response variable. It is the extension of the simple linear regression. It explains the relation between the multiple predictor variables or independent variables and one dependent variable or criterion variable.

In the context, the manager of a tourist company predicting the number of calls to the toll free number is using the statistical technique of multiple regression.

There are six essay questions on a history test, lettered a, b, c, d, e, and f. If you can choose any two the six questions to answer, how many different selections can you make?

Answers

Answer:

I can make there different selection

Answer:

Hmm, probably 2 selections?

Step-by-step explanation:

If there are six essay questions on the history test then it would maybe be 2 because, You have to choose the two best answer chose that fits the question.

Answer assappp hellpp

Answers


There are 12 because when you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes.

11 take away 2 times minus 7 plus 4

Answers

Answer:

(11 x 2) - 7 + 4

Is your algebra expression.

⚠️ PLEASE HELPPPPP
find the value of x.

Answers

the answer is x=21.

since the equations are both on one side, the sum of the equations will be 180.

5x-17+2x+50=180
add the like variables.
7x+33=180
subtract 33 from 180.
7x=147
divide 147 by 7.
x=21
*to check your answer sub in 21 where the x is and the two answers together and you should get 180*
hope this helps!!

Mr. Marlon buys these tickets for his family to visit the water park. The total cost is $210. Write and solve an equation to find the cost of each ticket.​

Answers

Answer:

$52.50

Step-by-step explanation:

210 divided by 4 equals 52.50

Let f(x) = 6x² - 54x+100 and g(x)=-3x² + 19. Identify the solution(s) of f(x) = g(x).

Answers

Answer:

x = 3

Step-by-step explanation:

f(x) = g(x)

[tex]6x^{2} - 54x + 100 = -3x^{2} + 19\\9x^{2} - 54x + 81 = 9(x^{2} - 6x + 9) = 0[/tex]

9(x - 3)(x - 3) = 0

x = 3

In the
accompanying diagram of circle O, chords AB and CD intersect at E and
AC:CB:BD:DÀ= 4:2:6:8
What is the measure of AC?

Answers

Answer:

72°

Step-by-step explanation:

4+2+6+8=20

360÷20=18

AC=4x18=72

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