Answer:
yes bti dsnin s
Step-by-step explanation:
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.
Answer:
I believe the answer is A.
Step-by-step explanation:
I don't really know how to really explain it tho
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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The numbers 38 and 41 are rounded to the nearest ten and then multiplied to estimate the product. What is the best estimate of 38 × 41 based on this method?
1,200
1,600
2,000
2,500
The numbers 38 and 41 are rounded to the nearest ten and then multiplied to estimate the product. What is the best estimate of 38 × 41 based on this method?
1,200
1,600
2,000
2,500
What is the product of 21 × 3?
21
24
60
63
Yusef wants to buy 20 pairs of sneakers to donate to a local shelter. Each pair costs $23. How much money will Yusef spend on all the sneakers?
$100
$200
$360
$460
The product of 42 × 31 is
.
A basketball team has 22 games this season. At each game, 95 raffle tickets are sold. How many raffle tickets are sold during all 22 games?
1,900
1,980
2,080
2,090
Carter rewrites 28 × 2 in expanded form to find the product.
28 × 2
= (20 × 2) + (8 × 2)
What is the next step to find the product?
adding the product of 20 × 2 to the product of 8 × 2
subtracting the product of 20 × 2 from the product of
8 × 2
multiplying the product of 20 × 2 by the product of 8 × 2
dividing the product of 20 × 2 by the product of 8 × 2
What is the product of 33 × 2?
31
33
60
66
What is the product?
57 × 4
228
232
240
285
Marta has 128 stamps. Kelli has 11 times as many as Marta. Marta estimates the total they have altogether by rounding each amount to the nearest ten and then multiplying.
What is the best estimate of 128 × 11 using this method?
1,200
1,300
1,408
1,508
pls hurry first one right gets brainlist
Answer:
Jeez this is a big question
Step-by-step explanation:
1. if they are rounded to the nearest 10 that would mean that it is actually
40 * 40
40 * 40 is 1600. The answer for #1 is 1600
2. its just asking what 21 x3 is, 21x3 is 63
3. All you do for this is 20*23
20 * 23 is 460
4. 42 * 31 is 1302
5. 22 * 95 = 2090
6. You do 20x2 which is 40 and then you do 8x2 which is 16
Adding
then you have 40 + 16 = 56
Subtracting
40 - 16 = 24
Multiplying
40 * 16 = 640
Dividing
40/16 = 2.5
7. 33x2 is 66
8. 57* 4 is 228
9. 128 * 11 is 1408 but if you round the 11 to the nearest 10, that would be 10, then if you round the 128 to the nearest 10, that would be 130, and then 130 * 10 is 1300
38 × 41 can be estimated by rounding 38 and 41 to the nearest ten, which gives us 40 and 40. Multiplying these two numbers gives us 1600. So the answer is 1,600.
21 × 3 is equal to 63.
How to solveYusef wants to buy 20 pairs of sneakers to donate to a local shelter. Each pair costs $23. How much money will Yusef spend on all the sneakers? The answer is $460.
The product of 42 × 31 is 1,262.
A basketball team has 22 games this season. At each game, 95 raffle tickets are sold. How many raffle tickets are sold during all 22 games? The answer is 2,090.
Carter rewrites 28 × 2 in expanded form to find the product.
28 × 2
= (20 × 2) + (8 × 2)
The next step to find the product is to multiply the product of 20 × 2 by the product of 8 × 2.
= 20 × 2 + 8 × 2
= 40 + 16
= 56
What is the product of 33 × 2? The answer is 66.
What is the product?
57 × 4
= 228
Marta has 128 stamps. Kelli has 11 times as many as Marta. Marta estimates the total they have altogether by rounding each amount to the nearest ten and then multiplying.
What is the best estimate of 128 × 11 using this method? The answer is 1,300.
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3x−4) −(x−5) what the answer
Answer:
2x+1 :)
Step-by-step explanation:
hope this helpsss!!
i need help please
whats the anwser
Answer:
x = -0.90, y = 2.31x = 1.40, y = 9.19Step-by-step explanation:
Equating the expressions for y will give a quadratic in x:
4x^2 +x = 3x +5
4x^2 -2x = 5 . . . . . . collect x-terms on the left
4(x^2 -1/2x) = 5 . . . .factor out the leading coefficient
4(x^2 -1/2x +1/16) = 5 4/16 . . . . complete the square
4(x -1/4)^2 = 84/16 . . . . write the quadratic as a square
x -1/4 = (±√21)/4 . . . . . divide by 4 and take the square root
x = (1 ±√21)/4 . . . . . . . add 1/4
y = 3x +5 = 3(1 ±√21)/4 +5 = (23 ±3√21)/4 . . . . use the linear equation for y
The solutions are ...
x = (1 -√21)/4; y = (23 -3√21)/4 ≈ 2.31
x ≈ -0.89, y ≈ 2.31
x = (1 +√21)/4; y = (23 +3√21)/4
x ≈ 1.40, y ≈ 9.19
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
28 yd²
Step-by-step explanation:
finding the area of a triangle is (base * height) / 2.
(14*4)=56
56/2=28
Which transformation should be applied to show similarity?
A wet sock is stuck onto the inner wall of a washing machine drum as it rotates at a steady speed the graph shows the sock displacement y, in inches, from the center of the drum, for a given number of seconds, X what is the diameter of the washing machine drum?
The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.
How to determine the diameter of the washing machine's drum?To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;
V = fλ
where
V = displacement/time
F = 1/T
But;
Displacement = 10 in
Time = 2 seconds
V = 10/2 = 5 in/s
F = 1/2 = 0.5
λ = 5/0.5 = 2.5in
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Find the open intervals on which the function f(x)= x+10sqrt(9-x) is increasing or decreasing.
The function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).
To determine the intervals on which the function is increasing or decreasing, we need to find the derivative of the function and analyze its sign.
Let's find the derivative of the function f(x) = x + 10√(9 - x) with respect to x.
f'(x) = 1 + 10 * (1/2) * (9 - x)^(-1/2) * (-1)
= 1 - 5√(9 - x) / √(9 - x)
= 1 - 5 / √(9 - x).
To analyze the sign of the derivative, we need to find the critical points where the derivative is equal to zero or undefined.
Setting f'(x) = 0:
1 - 5 / √(9 - x) = 0
5 / √(9 - x) = 1
(√(9 - x))^2 = 5^2
9 - x = 25
x = 9 - 25
x = -16.
The critical point is x = -16.
We can see that the derivative f'(x) is defined for all x values except x = 9, where the function is not differentiable due to the square root term.
Now, let's analyze the sign of the derivative f'(x) in the intervals (-∞, -16), (-16, 9), and (9, ∞).
For x < -16:
Plugging in a test value, let's say x = -17, into the derivative:
f'(-17) = 1 - 5 / √(9 - (-17))
= 1 - 5 / √(9 + 17)
= 1 - 5 / √26
≈ 1 - 0.97
≈ 0.03.
Since f'(-17) is positive, the function is increasing in the interval (-∞, -16).
For -16 < x < 9:
Plugging in a test value, let's say x = 0, into the derivative:
f'(0) = 1 - 5 / √(9 - 0)
= 1 - 5 / √9
= 1 - 5 / 3
≈ 1 - 1.67
≈ -0.67.
Since f'(0) is negative, the function is decreasing in the interval (-16, 9).
For x > 9:
Plugging in a test value, let's say x = 10, into the derivative:
f'(10) = 1 - 5 / √(9 - 10)
= 1 - 5 / √(-1)
= 1 - 5i,
where i is the imaginary unit.
Since the derivative is not a real number for x > 9, we cannot determine the sign.
Combining the information, we conclude that the function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).
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What is the value of g?
Answer:
90
Step-by-step explanation:
I'm not sure about the answer
Need help please ASAP ! The options for the first blank is A.close B.open price C.volume the options for second blank is A.day B.month
An electrician has the following lengths of cable:
21 inches, 39 inches, and 8 feet.
How much cable does he have in feet?
Answer:
13 feet of cable
Step-by-step explanation:
Convert 8 ft to inches (96 in)
96+39+21= 156
156/12= 13
Help please I give brainliest
Answer:
A) No Association
Step-by-step explanation:
Your shoe size and your math grade have nothing whatsoever to do with each other, so the answer would be No Association.
Hope it helps!
explain how to find the orginal and the new dimensions of an object when the scale changes
Answer:
To find the original dimensions, write a proportion with the scale as the first ratio and the scale dimension compared to the actual dimension as the second ratio. Use cross products to solve. To find new dimensions, write a proportion with the new scale as the first ratio and the scale dimension compared to the actual dimension as the second ratio. Use cross products to solve.
Answer:
To find the original dimensions, write a proportion with the scale as the first ratio and the scale dimension compared to the actual dimension as the second ratio. Use cross products to solve. To find new dimensions, write a proportion with the new scale as the first ratio and the scale dimension compared to the actual dimension as the second ratio. Use cross products to solve.
Step-by-step explanation:
Planes T and X are parallel. Plane T contains line a. Plane X contains line b.
Planes T and X are parallel. Plane T contains line a and plane X contains line b.
Which best explains the relationship between lines a and b?
the half life of carbon 14 is 5730 years. how much of a 50 gram sample would be left after 15000 years
Answer:
In this question (t½) of C-14 is 5730 years, which means that after 5730 years half of the sample would have decayed and half would be left as it is. After 5730 years ( first half life) 70 /2 = 35 mg decays and 35 g remains left. After another 5730 years ( two half lives or 11460 years) 35 /2 = 17.5mg decays and 17.5 g remains left . After another 5730 years ( three half lives or 17190 years) 17.5 /2 = 8.75mg decays and 8.75g remains left. after three half lives or 17190 years, 8.75 g of C-14 will be left.
Step-by-step explanation:
In Houston, 9 bats ate 50 grams of insects in one night. At this rate, how many grams of insects could 81 bats eat in one night?
Answer:
Step-by-step explanation:
Remark
Using Algebra, this is a proportion question. A proportion is 2 equal ratios
If the of the 2 ratio parts are known, it is possible to solve for the 4th one.
Formula
9_bats/50_grams::81_bats/x grams insects
Solution
Put the three knowns in and solve for the 4th which is not known
9 bats/ 50 insects = 81 bats /x insects. Cross multiply
9 * x = 50 * 81 Combine
9x = 4050 Divide by 9
9x/9 = 4050/9
Answer: x = 450 grams
-2log (6x + 1) = -6.
Guys please help me out ASAP, Due today. I
In an arithmetic sequence Sn = n² - 2n.
Use your formula in 2c to determine the value of
(a) T7 =
(b) Tn=
The formula in 2c : Sn - Sn-1 =Tn
Answer:
\(T_7 = 11\)
\(T_n = 2n- 3\)
Step-by-step explanation:
Given
\(S_n = n^2 -2n\)
\(T_n = S_n - S_{n-1}\)
Solving (a): T7
Substitute 7 for n in \(T_n = S_n - S_{n-1}\)
\(T_7 = S_7 - S_{7-1}\)
\(T_7 = S_7 - S_6\)
Calculate S7 and S6
\(S_n = n^2 -2n\)
\(S_7 = 7^2 - 2 * 7 = 35\)
\(S_6 = 6^2 - 2 * 6 = 24\)
So:
\(T_7 = 35 -24\)
\(T_7 = 11\)
Solving (b): Tn
\(T_n = S_n - S_{n-1}\)
Where \(S_n = n^2 -2n\)
Calculate\(S_{n-1}\)
We have:
\(S_{n-1} =(n-1)^2 - 2(n-1)\)
Open brackets
\(S_{n-1} = n^2 -2n + 1 -2n +2\)
\(S_{n-1} = n^2 -2n-2n + 1 +2\)
\(S_{n-1} = n^2 -4n + 3\)
So:
\(T_n = S_n - S_{n-1}\)
\(T_n = n^2 - 2n - (n^2 -4n + 3)\)
\(T_n = n^2 - 2n - n^2 +4n - 3\)
Collect Like Terms
\(T_n = n^2 - n^2- 2n +4n - 3\)
\(T_n = 2n- 3\)
123x78=
how much it equals too?
Answer:9,594 thats tha answer
Bill has 40 apples. Laurie has 8 times as
many apples.
If Laurie had 8 times as many apples as Bill's 40 apples, the equation would be 40 x 8. 40 x 8 = 320 :)
Answer:
320man zaans
Step-by-step explanation:
A piggy bank contains a certain number of coins, of which 53 are dimes and 19 are nickels.The remainder of the coins are quarters.If the probability of randomly selecting a quarter from the bank is 1 by 4, How many quarters does the bank contain?
Answer:
24
Step-by-step explanation:
because 53+19=72 and 72+24=96
96/4=24
A pair of parallel lines is cut by a transversal:
A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 25 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 60 degrees.
What is the measure of angle x?
30 degrees
35 degrees
65 degrees
85 degrees
Answer:
I think 30 degrees
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
Which line segment is drawn in the figure?
YZ
WY
XZ
WZ
A customer at the store wanted to buy a different watch that was listed at $88 but had a 15% discount. Then the customer had to pay a sales tax of 5% on the discounted price. How much did the customer pay for the watch? *
Step-by-step explanation:
88 X 0,15 =....
... X 1.05 = answer
Find the measurement of angle ABC
● Blondies are squares with 3 inch sides. ● Brownies are squares with 6 inch sides. ● The tray that displays the blondies and brownies has an area of 648 square inches and is completely full. If she has 4 rows of blondies and 4 rows of brownies, what fraction of the area of the tray, in square inches, is blondies? Show your work.
The fraction of the area of the tray occupied by the blondies is 1/9.
To find the fraction of the area of the tray occupied by blondies, we need to determine the area occupied by the blondies and compare it to the total area of the tray.
Let's calculate the area of each individual blondie:
The blondies are squares with 3-inch sides, so the area of each blondie is 3 inches × 3 inches = 9 square inches.
Now, let's calculate the area occupied by the blondies in each row:
Since there are 4 rows of blondies and each row contains 4 blondies, the total number of blondies is 4 rows × 4 blondies per row = 16 blondies.
So, the total area occupied by the blondies is 16 blondies × 9 square inches per blondie = 144 square inches.
Next, let's determine the area occupied by the brownies:
The brownies are squares with 6-inch sides, so the area of each brownie is 6 inches × 6 inches = 36 square inches.
Since there are also 4 rows of brownies and each row contains 4 brownies, the total number of brownies is 4 rows × 4 brownies per row = 16 brownies.
Therefore, the total area occupied by the brownies is 16 brownies × 36 square inches per brownie = 576 square inches.
Now, let's calculate the total area of the tray:
Given that the tray is completely full and has an area of 648 square inches, we can subtract the area occupied by the brownies from the total area to find the remaining area occupied by the blondies:
Total area of the tray - Area occupied by the brownies = Area occupied by the blondies
648 square inches - 576 square inches = 72 square inches.
So, the fraction of the area of the tray occupied by the blondies is:
Area occupied by the blondies / Total area of the tray = 72 square inches / 648 square inches.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72 in this case:
72 square inches / 648 square inches = 1/9.
Therefore, the blondies' percentage of the tray's surface area is 1/9.
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Look at pic and answer ASAP
Answer:
the second one, the one that is already highlighted is correct.
Step-by-step explanation:
she divided it up among them so 20 over x shows division
) Quantifier negation.
Form the negation of the following statements. Then apply De Morgan’s law and/or conditional law, when
applicable. Negation should appear only within predicates, i.e., no negation should be outside a quantifier
or an expression involving logical connectives. Show all steps.
a) ∀x (P(x) ∧ R(x))
b) ∀y∃z(¬P(y) → Q(z))
c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))
The negations of the given statements with the application of De Morgan's law and/or conditional law.
a) ∃x (¬P(x) ∨ ¬R(x))
De Morgan's law:
∃y ∀z(¬P(y) ∧ ¬Q(z))
b) ∃y ∀z(¬P(y) ∧ ¬Q(z))
The double negation:
∃y ¬∃z(P(y) ∨ Q(z))
c) ¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))
The conditional law:
¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))
Let's form the negation of the given statements and apply De Morgan's law and/or conditional law, when applicable:
a) ∀x (P(x) ∧ R(x))
The negation of this statement is:
∃x ¬(P(x) ∧ R(x))
Now let's apply De Morgan's law:
∃x (¬P(x) ∨ ¬R(x))
b) ∀y∃z(¬P(y) → Q(z))
The negation of this statement is:
∃y ¬∃z(¬P(y) → Q(z))
Using the conditional law, we can rewrite the negation as:
∃y ¬∃z(¬¬P(y) ∨ Q(z))
c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))
The negation of this statement is:
¬∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))
Using the conditional law, we can rewrite the negation as:
¬∃x (P(x) ∨ (∀z (R(z) ∨ ¬Q(z))))
Applying De Morgan's law:
¬∃x (P(x) ∨ (∀z ¬(¬R(z) ∧ Q(z))))
Simplifying the double negation:
¬∃x (P(x) ∨ (∀z ¬(R(z) ∧ Q(z))))
Using De Morgan's law again:
¬∃x (P(x) ∨ (∀z (¬R(z) ∨ ¬Q(z))))
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Is 9x-(9x)^2=19-y linear or non linear
this question is non linear
Find the average rate of change for the function f(x)=3x+17
Using the intervals of x=3 to x=6
Show ALL your work to receive credit
Answer: what unit is this?
Step-by-step explanation:yeah I’ll need the unit to solve this question