After the solution, the answer to the given fraction \(-3\frac{5}{6} *4\frac{1}{2}\) is 9.75.
What are fractions?A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters. There are three major types of fractions in mathematics. Proper fractions, improper fractions, and mixed fractions are the three types. Fractions are terms that have a numerator and a denominator.So, \(-3\frac{5}{6} *4\frac{1}{2}\):
\(-3\frac{5}{6} *4\frac{1}{2}\)(-18+5)/6 × (8+1)/2-13/6 × 9/2117/12= 9.75Therefore, the solution of the given fraction is 9.75.
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observe partes da reta numerada e escreva os números naturais indicados pelas setas.
Seven cups of yogurt cost $3.50. how much does one cup of yogurt cost?
Answer:
50 cents or .50
Step-by-step explanation:
ASAP someone please simplify these two exponents
Answer:
3) \(qm^{-17}\)
4) \(np^{-3}\)
These should be your answer! Make sure to double check!
Step-by-step explanation:
Just simplify.
Please hurry... Have a blessed day!
Answer:
A
Step-by-step explanation:
divide all sides by four and you get first answer.
square root of 144 - (16 -5 x2) squared
Answer:
138
Step-by-step explanation:
huh what
144-(16-5×2)
5×2=10
16-10=6
144-6=138
The area of a door is 3024 scare inches the the length of the door is 48 inches longer than the width of the door what is the width of the door
Answer:
Let's assume the width of the door is x inches. Then, according to the problem, the length of the door is 48 inches longer than the width, which means the length is x+48 inches.
The area of the door is given as 3024 square inches, so we can set up an equation:
Area = width x length
3024 = x(x+48)
Simplifying the equation, we get:
x^2 + 48x - 3024 = 0
Now we can solve for x using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
where a = 1, b = 48, and c = -3024
x = (-48 ± √(48^2 - 4(1)(-3024))) / 2(1)
x = (-48 ± √(2304 + 12096)) / 2
x = (-48 ± √14400) / 2
We take the positive root since the width of a door cannot be negative:
x = (-48 + 120) / 2
x = 36
Therefore, the width of the door is 36 inches.
Step-by-step explanation:
If i toss a fair coin five times and the outcomes are ttttt, then the probability that tails appears on the next toss is.
The probability that tails appears on the next toss is 0.5
Given,
In the question:
If I toss a fair coin five times and the outcomes are TTTTT,
To find the probability that tails appears on the next toss is.
Now, According to the question:
The possible ordered outcomes are listed as elements in a sample space, which is commonly indicated using set notation.
A sequence of five fair coin flips has a sample space that contains all potential outcomes. \(2^3\) {H, T} is the sample of a fair coin toss. {HHHHH, HHHHT, HHHTH, HHTHH, HTHHH,...…TTTTT} .
The probability of a tails result on the next flip is always equal to 0.5 It makes no difference if previous outcomes were {TTTTT} , {HHHHH} or {THTHT} In each of these and all other circumstances, the probability of the next being tails is still 0.5
Hence, the probability that tails appears on the next toss is 0.5
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What is the matrix equation that corresponds to each system?
c. [2x+3 = 8y -x+y =-4 ]
The matrix equation corresponding to the system [2x + 3 = 8y, -x + y = -4] is given by [[2, -8], [-1, 1]] \(\times\) [[x], [y]] = [[-3], [-4]].
To represent the given system of equations [2x + 3 = 8y, -x + y = -4] in matrix form, we can use matrices to represent the coefficients of the variables and the constant terms.
Let's define the matrix X to represent the variables [x, y], and the matrix B to represent the constant terms [3, -4].
Then the matrix equation corresponding to the system is AX = B, where A is the coefficient matrix.
The coefficient matrix A will have the coefficients of x and y from the equations:
A = [[2, 8],
[-1, 1]]
The matrix X will represent the variables [x, y]:
X = [[x],
[y]]
The matrix B will represent the constant terms [3, -4]:
B = [[3],
[-4]]
Therefore, the matrix equation corresponding to the system [2x + 3 = 8y, -x + y = -4] can be written as:
[[2, 8],
[-1, 1]] \(\times\) [[x],
[y]] = [[3],
[-4]]
or simply as:
AX = B
where A = [[2, 8],
[-1, 1]],
X = [[x],
[y]],
B = [[3],
[-4]].
This matrix equation provides a compact and organized representation of the given system of equations, allowing for further analysis and computational approaches.
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what is the probability????
Tell whether the following statements are always true, sometimes true or always false./p>
a. If a positive is subtracted from a negative integer, the difference is a negative integer.
b. If a positive integer is subtracted from a positive integer, the difference is a positive integer.
Each statement about integer is:
"If positive is subtracted from a negative integer, the difference is negative integer" can be sometimes true because when a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer."If a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer" is sometimes true because when a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer.Statement A: If positive is subtracted from a negative integer, the difference is negative integer.
This statement is sometimes true.
If a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer. For example, if -5 is subtracted from -3, the difference is -8, which is a negative integer. However, if -3 is subtracted from -5, the difference is 2, which is a positive integer. The difference sign depends on which value is the bigger one.
Statement B: If a positive integer is subtracted from a positive integer, the difference is a positive integer.
This statement is sometimes true.
If a positive integer is subtracted from a positive integer, the difference can be a positive integer or a negative integer. For example, if 3 is subtracted from 5, the difference is 2, which is a positive integer. However, if 5 is subtracted from 3, the difference is -2, which is a negative integer.
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a keyboard that costs 475 is on sale for 175. How much money will you save buying it on sale?
Answer:
$300
Step-by-step explanation:
First, you subtract 475 and 175.
Which equals 300. That means that you saved $300.
Answer:$300
Step-by-step explanation:
475 (base price) - 175 (sale price)
=300 (saved price)
A poster has an area of 12 feet. Its perimeter is 16 feet. What are the dimensions of the poster?
Answer:
Length: 6, Width: 2
Step-by-step explanation:
6 times 2 is 12 and 6 + 6 + 2 + 2 = 16.
Joy's math certificate is 10 inches tall and 13 inches wide. Joy wants to put the certificate in a fancy frame that costs $3.00 per inch. How much will it cost to frame Joy's math certificate?
In perimeter, The cost to frame Joy's math certificate in a fancy frame is $138.00.
The dimensions of Joy's math certificate are 10 inches tall and 13 inches wide.
Joy wants to frame it in a fancy frame that costs $3.00 per inch.
To determine the total cost of framing the certificate, we need to find its perimeter and then multiply that by the cost per inch.
The perimeter of the certificate is:
Perimeter = 2 × (height + width)
Substituting the given values, we get:
Perimeter = 2 × (10 + 13)Perimeter = 46 inches
Therefore, the total cost of framing Joy's math certificate is:
Total cost = Perimeter × Cost per inch
Total cost = 46 × 3.00Total cost = $138.00
Thus, the cost to frame Joy's math certificate in a fancy frame is $138.00.
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Prepare a grid with magic number 30. You can choose any set of numbers in sequence but the numbers should not be repeated.
The grid of numbers with a row and column sum of 30 is
3 15 12
17 11 2
10 4 16
How to prepare the grid?The grid in the question has a row sum and column sum of 15
The question implies that we create a similar grid with a row sum and column sum of 30
Represent the grid as follows:
a b c
d e f
g h j
So, we have the following sum of rows
a + b + c = 30
d + e + f = 30
g + h + j = 30
And, we have the following sum of rows
a + d + g = 30
b + e + h = 30
c + f + j = 30
Using trial by error, we have:
3 + 15+ 12 = 30
17 + 11 + 2 = 30
10 + 4 + 16 = 30
When the columns are added, we have
3 + 17 + 10 = 30
15 + 11 + 4 = 30
12 + 2 + 16 = 30
Hence, the grid of numbers is
3 15 12
17 11 2
10 4 16
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Pat shows that 16 1/2= the square root of 16. What is one possible way pat could have shown this correctly?
The base 16 is the same as 4*4.
From there, the rule \((a*b)^c = a^c*b^c\) is used to get \((4*4)^{1/2} = 4^{1/2}*4^{1/2}\)
Afterward, the exponents are added getting 1/2+1/2 = 2/2 = 1. The rule is \(a^b*a^c = a^{b+c}\) which only works if the bases are both the same.
9) You are a contractor and charge $55 for a site visit plus an additional $25 per hour for each hour you spend
working at the site, Write and solve an equation to determine how many total hours you have to work to earn
$555 working at a site.
Okay
The contractor would have to work for 20 hours on the site to earn $555 total pay
What is total cost function?
Total cost function is the sum of the fixed charge, which is fixed cost to the person paying the contractor when the contractor visits the site and charge per hour multiplied by the number of hours spent working
TC=a+bX
TC=total cost=$555
a=fixed charged=$55
b=charge per hour=variable element of contractor's pay=$25
X=number of hours spent working=unknown
$555=$55+$25X
$555-$55=$25X
$500=$25*X
X=$500/$25
X=20
The contractor needs to work for 20 hours in order to earn a total pay of $555
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7(1+10p)+8(1+6p)
A 56+16p
B 15+76p
C 152+58p
D 15+118p
Answer:
Its D
Step-by-step explanation:
7(1+10p + 8(1+6p)
7+70p + 8+48p
15 + 70p + 48p
15 + 118p
There are 5 white balls,8 red balls ,7 yellow balls and 4 green balls in a container a ball is choosen at random.what is the probabilty of chooseing neither white or green? .
15/19 + 14/19 = 29/19
Step-by-step explanation:
Add the number of balls in the basket together.
Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball
How many rows would be returned from a cross join of tables A and B, if A contains 8 rows and B contains 18
The number of rows that would be returned from the cross join of tables A and B is 144 rows.
The cross join of table A and table B is the cartesian product of A and B.
Since table A = 8 rows and table B = 18 rows, the cartesian product of the rows is 8 × 18 = 144 rows.
So, the number of rows that would be returned from the cross join of tables A and B is 144 rows.
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Simplify (-3/5) divided by (7/6) HELP ASAP
Answer:
-18/35
Step-by-step explanation:
(-3/5)/(7/6)=
(-3/5)x(6/7)=
(-3x6)/(5x7)=
-18/35
what is the point estimator for the proportion of registered voters expressed concern about a loosening of restrictions? b. determine the margin of error for this poll assuming a confidence level of 95%
The point estimator for the proportion of registered voters expressed concern about a loosening of restrictions is 0.58. The margin of error for this poll is 3.6%.
The point estimator for the proportion of registered voters expressing concern about a loosening of restrictions is:
58/100 = 0.58 or 58%
To determine the margin of error for this poll assuming a confidence level of 95%, we can use the following formula:
margin of error = zsqrt(p(1-p)/n)
where z is the z-score for the desired confidence level (1.96 for 95%), p is the point estimator for the proportion (0.58), and n is the sample size (900).
So, the margin of error is:
1.96sqrt(0.58(1-0.58)/900) ≈ 0.036 or 3.6%
Therefore, the margin of error for this poll is 3.6%.
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____The given question is incomplete, the complete question is given below:
Read the following news article and then answer the two questions at the end According to an NBC News/Wall Street Journal poll released Sunday, 58 percent of registered voters expressed concern about a loosening of restrictions compared with 32 percent who worried that the restrictions would stay in place for too long 3 percent said they were concerned about both scenarios. A mere 3 percent said the pandemic had no impact on their lives, compared with 77 percent who said it had affected them either in a very major way" or "fairly major way The sample size was 900 registered voters a What is the point estimator for the proportion of registered voters expressed concern about a loosening of restrictions b. Determine the margin of error for this poll assuming a confidence level of 95%.
The following are the last 10 run scores Colin got in cricket: 21, 14, 23, 23, 20, 8, 23, 34, 10, 22 a) Work out Colin's mean score. b) Colin plays cricket again on Sunday. He gets 22 runs. What is his new mean score? Give your answers as decimals. Please answer ASAP.
Answer:
19.8,41.8
Step-by-step explanation:
wish you all the best hope you understand.
Solve the equation
3x²-17x+10=0
Answer:
(3x-2) (x-5)
Step-by-step explanation:
30 = -15 X -2
-17 = -15 + -12
3x2 - 15x - 2x +10
factorise
3x(x-5) - 2(x-5)
(3x-2) (x-5)
Alice, Bob, Carol, and Dave are playing a game. Each player has the cards {1,2, ...,n} where n ≥ 4 in their hands. The players play cards in order of Alice, Bob, Carol, then Dave, such that each player must play a card that none of the others have played. For example, suppose they have cards {1, 2, ...,5}, and suppose Alice plays 2, then Bob can play 1, 3, 4, or 5. If Bob then plays 5, then Carol can play 1, 3,
or 4. If Carol then plays 4 then Dave can play 1 or 3.
(a) Draw the game tree for n = 4 cards. (b) Consider the complete bipartite graph K4n. Prove a bijection between the set of valid games for n
cards and a particular subset of subgraphs of K4.n.
(a) The game tree for n = 4 cards can be represented as follows:
markdown
Alice
/ | | \
1 3 4 5
/ | \
Bob | Dave
/ \ | / \
3 4 5 1 3
b here is a bijection between the set of valid games for n cards and a particular subset of subgraphs of K4.n.
In this game tree, each level represents a player's turn, starting with Alice at the top. The numbers on the edges represent the cards played by each player. At each level, the player has multiple choices depending on the available cards. The game tree branches out as each player makes their move, and the game continues until all cards have been played or no valid moves are left.
(b) To prove the bijection between the set of valid games for n cards and a subset of subgraphs of K4.n, we can associate each player's move in the game with an edge in the bipartite graph. Let's consider a specific example with n = 4.
In the game, each player chooses a card from their hand that hasn't been played before. We can represent this choice by connecting the corresponding vertices of the bipartite graph. For example, if Alice plays card 2, we draw an edge between the vertex representing Alice and the vertex representing card 2. Similarly, Bob's move connects his vertex to the chosen card, and so on.
By following this process for each player's move, we create a subgraph of K4.n that represents a valid game. The set of all possible valid games for n cards corresponds to a subset of subgraphs of K4.n.
Therefore, there is a bijection between the set of valid games for n cards and a particular subset of subgraphs of K4.n.
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Eight of the 50 digital video recorders (dvrs) in an inventory are known to be defective. what is the probability that a randomly selected item is defective?
The probability of selecting a defective bulb is 0.16.
Given: 8 Bulbs are defective out of 50 bulbs. To find the probability that a randomly selected item is defective.
What is probability?
Probability shows the possibility of how likely an event is happening to occur out of all the possibilities.
Let’s solve the problem:
Total number of video recorders: 50
The sample space n(S) = 50
Number of defective bulbs: 8
Let E be the event of selecting a defective bulb.
Then n(E) = 8
Therefore, the probability of selecting a defective bulb: Number of defective bulbs / Total number of bulbs
=> n(E) / n(S)
=> 8 / 50
=> 0.16
Hence the probability of selecting a defective bulb is 0.16.
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Kayla uses 3 yards of yarn to make one key chain. She has 36 feet of yarn in one roll, 216 inches in a second roll, and 24 yards in a third roll. How many key chains can Kayla make with the yarn she has?
Your answer should be:She can make 92 key chains with the yarns she has.
Step-by-step explanation
1. Let's add and see the total of yarns she has!
36 + 216 + 24 = 276
2. Let's divide the total we got in 1 by the yard she needs to make one key chain!
276 ÷ 3 = 92
3. Your answer should be 92.
is λ=3 an eigenvalue of 2 0 −1 2 2 3 −4 3 −4 ? if so, find one corresponding eigenvector.
Thus, we can write that the value of λ=3 is an eigenvalue of the given matrix A and the corresponding eigenvector is v=[-2 5 1]T.
Given matrix is:\($$A = \begin {bmatrix} 2 & 0 & -1 \\ 2 & 2 & 3 \\ -4 & 3 & -4 \end {bmatrix}$$\)Now, to check whether λ = 3 is an eigenvalue of the given matrix A, we will find the determinant of the matrix (A - λI), where I is the identity matrix. If the determinant is zero, then λ is an eigenvalue of the matrix A. The matrix (A - λI) is\(:$$\ {bmatrix} 2 - 3 & 0 & -1 \\ 2 & 2 - 3 & 3 \\ -4 & 3 & -\)end {bmatrix}$$Now, finding the determinant of the above matrix using the cofactor expansion along the first row:$${\begin{aligned}\det(A-\lambda I)&=-1\cdot \begin{vmatrix} -1 & 3 \\ 3 & -7 \end{vmatrix}-0\cdot \begin{vmatrix} 2 & 3 \\ 3 & -7 \end{vmatrix}-1\cdot \begin{vmatrix} 2 & -1 \\ 3 & 3 \end{vmatrix}\\&=-1((1\cdot -7)-(3\cdot 3))-1((2\cdot 3)-(3\cdot -7))\\&=49\end{aligned}}$$Since the determinant is non-zero, hence λ = 3 is an eigenvalue of the matrix A.
Now, to find the corresponding eigenvector, we will solve the equation (A - λI)v = 0, where v is the eigenvector and 0 is the zero vector. The equation becomes:\($$\begin{bmatrix} -1 & 0 & -1 \\ 2 & -1 & 3 \\ -4 & 3 & -7 \end{bmatrix}\begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix}$$$$\Rightarrow -x - z = 0$$$$2x - y + 3z = 0$$$$-4x + 3y - 7z = 0$$\)Solving the above system of equations using substitution method, we get y = 5z and x = -2z. Taking z = 1, we get the eigenvector as\(:$$v = \begin{bmatrix} -2 \\ 5 \\ 1 \end{bmatrix}$$\)Therefore, λ = 3 is an eigenvalue of the given matrix A and the corresponding eigenvector is v = [-2 5 1]T.
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for science class, trent is making a poster about constellations. he wants to line the top and bottom edges with shiny star stickers. his poster is 0.75 meters long, and each star sticker is 15 millimeters wide. how many stickers does trent need for his poster?
Trent will need a total of 100 star stickers to line both the top and bottom edges of his 0.75-meter-long poster, with each sticker being 15 millimeters wide.
To find out how many star stickers Trent needs for his poster, you should first convert the length of the poster and the width of the stickers to the same unit, either meters or millimeters.
Step 1: Convert the length of the poster to millimeters (1 meter = 1000 millimeters)
0.75 meters * 1000 = 750 millimeters
Step 2: Divide the length of the poster by the width of a star sticker
750 millimeters / 15 millimeters = 50 stickers
Step 3: Since there are two edges (top and bottom) of the poster, multiply the number of stickers needed for one edge by 2
50 stickers * 2 = 100 stickers
Trent needs 100 star stickers for his poster. First, convert the length of the poster to millimeters, which is 750 millimeters. Then divide this length by the width of a star sticker, 15 millimeters, which results in 50 stickers. Since there are two edges, multiply by 2 to get 100 stickers in total.
Trent will need a total of 100 star stickers to line both the top and bottom edges of his 0.75-meter-long poster, with each sticker being 15 millimeters wide.
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The ancient Greeks were able to construct a perpendicular bisector for a
given line segment using only a straightedge and compass.
O A. True
B. False
Answer:
True
Step-by-step explanation:
The answer is "True". Let me explain.
Let's say that we have a line segment which we will call AB, construct a perpendicular bisector. The following steps will be taken;
1) Draw a semi circle with its centre at point A and passing through point B.
2) Draw a semi circle with its centre at point B and passing through point A.
3) The two semicircles will intersect at two points with one being above and the other being below the straight line segment AB. Now, a line will have to be drawn that passes through those two intersecting points. This drawn line is called the perpendicular bisector for line segment AB.
Answer:
True
Step-by-step explanation:
Make sure you’re paying attention to if your question says “were able to” or “were not able to”.
HELP PLS
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y=-1/3x-1 I believe
Step-by-step explanation:
The Y intercept is where the line meets the Y line, which crosses at -1 and for slope, find a point and do rise/run. This question goes down 1 and to the right 3 so -1/3