After answering the given question, we can conclude that As a result, the probability of receiving an odd or a divisor of 54 is one, or 100% confidence.
What is probability?Probability is a gauge of how likely an occurrence is to occur. It is represented by a figure between 0 and 1, with 0 representing an unlikely occurrence and 1 representing an inevitable event. Switching a fair coin and coin turns has a chance of 0.5 or 50% because there are two equally likely results. (Heads or tails). Probability theory is a branch of mathematics that studies random occurrences rather than their characteristics. It is applied in many areas, including statistics, economics, science, and engineering.
There are three equally probable results from the spinner: 1, 2, and 3. To determine the likelihood of receiving an odd or divisor of 54, we must tally the number of events that meet this requirement.
54 has divisors of 1, 2, 3, 6, 9, 18, 27, and 54. Only one, three, and nine are unusual. As a result, the potential results that are either odd or divisors of 54 are 1, 3, and 2.
P(odd or divisor of 54) = P(1) + P(2) + P(3) + P(9) = 1/3 + 1/3 + 1/3 + 0 (because 9 is not a spinning choice) = 1
As a result, the chance of receiving an odd or a divisor of 54 is one, or 100% confidence.
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Help plz I will give Brainlyest
Express w as a linear combination of the vector V1 and V2 if this is possible. If not, Show that it is impossible.
w= [3]
[-1]
[2]
v1= [-3]
[1]
[2]
v2= [6]
[-2]
[3]
Answer:
Step-by-step explanation:
\(w=(\frac{1}{7}).V_{1}+(\frac{4}{7}).V_{2}\)
We have the following vectors :
\(w=\left[\begin{array}{c}3&-1&2\end{array}\right]\)
\(V_{1}=\left[\begin{array}{c}-3&1&2\end{array}\right]\)
\(V_{2}=\left[\begin{array}{c}6&-2&3\end{array}\right]\)
In order to express \(w\) as a linear combination of the vectors \(V_{1}\) and \(V_{2}\), we will search for \(a,b\) ∈ IR such that :
\(a.V_{1}+b.V_{2}=w\) (I)
Now we are going to work matrixically with the equation (I) :
\(a\left[\begin{array}{c}-3&1&2\end{array}\right]+b\left[\begin{array}{c}6&-2&3\end{array}\right]=\left[\begin{array}{c}3&-1&2\end{array}\right]\)
Distributing mathematically and matching ''component to component'' we lead to the following equations :
\(-3a+6b=3\\a-2b=-1\\2a+3b=2\)
Working with the system associated matrix :
\(\left[\begin{array}{ccc}-3&6&3\\1&-2&-1\\2&3&2\end{array}\right]\)
Applying matrix operations we lead to the following equivalent matrix :
\(\left[\begin{array}{ccc}1&0&\frac{1}{7}\\0&1&\frac{4}{7}\\0&0&0\end{array}\right]\)
In this matrix we obtain that :
\(a=\frac{1}{7}\) and \(b=\frac{4}{7}\)
We can verify this solution by replacing the values of \(a\) and \(b\) in the equation (I) :
\((\frac{1}{7}).V_{1}+(\frac{4}{7}).V_{2}=w\) ⇒
\((\frac{1}{7}).\left[\begin{array}{c}-3&1&2\end{array}\right]+(\frac{4}{7}).\left[\begin{array}{c}6&-2&3\end{array}\right]=\left[\begin{array}{c}3&-1&2\end{array}\right]\) ⇒
\(\left[\begin{array}{c}3&-1&2\end{array}\right]=\left[\begin{array}{c}3&-1&2\end{array}\right]\)
please help this is already late
Answer:
C = 132°
Step-by-step explanation:
(5y + 28) = 12y
5y - 5y + 28 = 12y - 5y
28 = 7y
y = 4
12 (4)
= 48
48 + C = 180°
48 - 48 + C = 180 - 48
C = 132°
Please help me thanks
Answer: -12
Step-by-step explanation:
Please help. Miguel had 2 bags containing number tiles as shown below. Without looking, Miguel selected one tile from each bag. What is the probability that Miguel selected two numbers less than 3?
The probability of Miguel selecting a tile number less than 3 from each bag -1 is 1/5 and bag-2 is 2/5.
The given tiles in bag-1 = {2, 4, 5, 8, 9}
Total number of tiles in bag-1 = 5
The number of tiles less than number 3 in the bag - 1 = 1
The probability of Miguel selecting a tile number less than 3 =
number of tiles less than 3 / total number of tiles = 1/3
The given tiles in bag-2 = {0, 1, 3, 6, 7}
Total number of tiles in bag-2 = 5
The number of tiles less than number 3 in the bag-2 = 2
The probability of Miguel selecting a tile number less than 3 =
number of tiles less than 3 / total number of tiles = 2/3
From the above analysis, we solved the problem.
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Find the area of this shape.
m2
120 cm
2 m
120 cm
3 m
Submit
Answer:
5.04 m²
Step-by-step explanation:
The unmarked vertical edge is 2-1.2 = 0.8 m, so the cut-out rectangle at upper right has an area of ...
A = LW
A = (1.2 m)(0.8 m) = 0.96 m²
This area is cut out of a rectangle that is 2 m × 3 m. The area of the shape is then ...
area = (2 m)(3 m) -0.96 m² = 5.04 m²
24. Name a point on ∠MNO
Only point Q is on the ∠MNO because when we connect the point M and O then point R lies outside the ∠MNO. Only point Q remains inside.
In the given question we have to name a point on ∠MNO.
As we know that;
Evaluating the number of points in the curve of the triangle's vertices that are close to the location in question is the easiest method for determining whether a point is inside a triangle. The point on the curve is inside the triangle if it has three points; if it has four, it is outside the triangle.
When we check in the graph then only point Q is on the ∠MNO because when we connect the point M and O then point R lies outside the ∠MNO. Only point Q remains inside.
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A skating rink charges $6.25 for skate rentals for people of all age groups. If C
represents the total number of children who rented skates and A represents the
total number of adults who rented skates, which expression best represents the
total money earned by the skating rink for the rental of skates?
a. 6.25 + a + c
b. 6.25a + 6.250
c. 6.25 (a + c)
d. 6.25a X 6.250
Answer:
C: 6.25 (a+c)
Step-by-step explanation:
Since the price for all ages is $6.25
Both children and adult (c,a) would be multiplied by the price to get the total money earned
Use the unit circle to find csc270
The value of csc(270) is undefined.
What is undefined in trigonometry?
Trigonometric functions are undefined when they represent fractions with denominators equal to zero. Cotangent is the reciprocal of a tangent, so the cotangent of any angle x for which tan x = 0 must be undefined since it would have a denominator equal to 0.
The unit circle is a circle with a radius of 1 that is centered at the origin of a coordinate plane.
The coordinates of a point on the unit circle can be represented in terms of sine and cosine.
To find coc(270), we can use the relationship between the cosecant function and the sine function, which is csc(x) = 1/sin(x).
We know that sin(270) = 0, so the csc(270) = 1/0, which is undefined.
Hence, the value of csc(270) is undefined.
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a Carnival charges $5 to enter, and $2 per ride. If you paid a total of $23, how many rides did you go at the carnival
Answer : 8$
you have 1$ left
A book is bought for 350 and sold for R490. Calculate the percentage profit.
well, the profit is clearly just 490 - 350 = 140.
Now, if we take 350(origin amount) to be the 100%, what is 140 off of it in percentage?
\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 350 & 100\\ 140& x \end{array} \implies \cfrac{350}{140}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{5}{2} ~~=~~ \cfrac{100}{x}\implies 5x=200\implies x=\cfrac{200}{5}\implies x=40\)
Can someone help me please?
Answer:
Step-by-step explanation:
Here the function is f(x) = 7 - 8x. x is the independent variable. f(a) is the value of the function when x = a.
To find the value of f(a), we start with f(x) = 7 - 8x and replace each instance of x with a:
f(a) = 7 - 8a
To find the value of f(a + h), we start again with f(x) = 7 - 8x, but this time we replace each instant of x with (a + h):
f(a + h) = 7 - 8(a + h), or 7 - 8a - 8h.
To find f(a + h) - f(a), we write out the terms of f(a + h) followed by those for f(a) and then combine like terms:
7 - 8a - 8h - {7 - 8a) => -8h
Thus,
f(a + h) - f(a) = -8h
During each week of piano lessons, William learns to play 2 new pieces. Write an equation that shows the relationship between the weeks of lessons x and the total number of pieces learned y.
Answer:
William can find how many piano pieces he has learned by using the equation y = 2x.
Step-by-step explanation:
We are given that William learns two piano pieces per week.
We are tasked with finding the equation that represents this relationship (the number of weeks that William has received piano lessons and the total number of piano pieces that William has learned).
The number of weeks that William has attended piano lessons is represented by the variable x.The total number of piano pieces that William has learned is represented by the variable y.Therefore, take for example that William has been taking piano lessons for four months. This would roughly equate to sixteen weeks.
\(x=16\)After analyzing this, we know that he learns two pieces a week. So, we can multiply our number of weeks by two in order to receive the total amount of pieces learned.
\(x \times 2\)Finally, we need to set this equal to the total number of pieces learned, or our previously defined variable y.
\(y=x\times 2\)In mathematics, we want to simplify everything as much as possible. There is a statement that if a constant and a variable are to be multiplied, we can remove the multiplication symbol and place the constant and the variable together.
\(y=2x\)Therefore, our equation is \(\bold{y = 2x}\).
From 15 men and 11 women, how many committees of 10 persons can be chosen if each committee is to have exactly 8 men?
Answer:
1
Step-by-step explanation:
There are 15 men in total;
If each committee is to have 8 men (and assuming one man cannot be in multiple committees), we can simply do the following:
15/8 = 1.875
This means only 1 committee can be made containing exactly 8 men.
You can also think of it like this:
If 8 men make up 1 committee, then this leaves 7 (15 - 8) men left;
Since you need 8 men, there is not enough for a second committee (once again, assuming that one man cannot be in more than one committee).
do you think it will be harder to get the strong magnets to change phase
Answer:
Yes
Step-by-step explanation:
I think that it will be harder to get the strong magnets to change phase because tighter molecules, for example, solids have a higher molecular attraction. The amount of temperature is very important too because the higher amount of temperature produced, the more kinetic energy distributed. The more kinetic enery the molecules contain, the more they move. Magnets are solid molecules. Solid molecules stick together and don't move separately like gas molecules, meaning that they have a low amount of kinetic energy.
Yes, it will be harder to get the strong magnets to change phase.
Because in this molecule are closely packed, for example in solids, there is no space between the molecules atoms, therefore, they have higher force of attraction.
So, they are strongly bonded to each other. Solids need high amount of energy to break the bond.
That is, the increase in temperature causes movement in molecules. Magnets are also solid molecules.
Solid molecule bonded together not move freely like gaseous molecules, means that they have a low amount of kinetic energy.
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the cut out part say linear equation
Answer:
D.
Step-by-step explanation:
Step 1: Write slope-intercept form
y = mx + b
Step 2: Solve for m
Subtract b on both sides: y - b = mxDivide both sides by x: (y - b)/x = mRewrite: m = (y - b)/xFind the value of x
Answer:
x = 20
Step-by-step explanation:
We know that the vertically opposite angles are equal.
Accordingly,
41 = 2x + 1
Subtract 1 from both sides.
41 - 1 = 2x
40 = 2x
Divide both sides by 2.
x = 20
help please!!!!!!!!!!!!!!!!
Answer:
D
The X Axis is the time, the Y Axis is the amount of pages being read.
If x = 9 units, y = 2 units, and h = 10 units, find the area of the trapezoid shown above using decomposition.
A.
100 square units
B.
130 square units
C.
90 square units
D.
110 square units
Answer:
B.130 square units
Step-by-step explanation:
pls, tell me if wrong have a good day/night<3
The scores on a psychology exam were normally distributed with a mean of 61 and a standard deviation of 5. A failing grade on the exam was anything 2 or more standard deviations below the mean. What was the cutoff for a failing score? Approximately what percentage of the students failed ?
The cutoff for a failing score is 51 and about 2.28% of the students failed the psychology exams.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Z score is given by the equation:
z = (raw score - mean) / standard deviation
Given mean of 61 and a standard deviation of 5.
The z score that corresponds to 2 or more standard deviations below the mean is -2. Hence:
-2 = (x - 61) / 5
x = 51
P(z < -2) = 0.0228
The cutoff for a failing score is 51 and about 2.28% of the students failed the psychology exams.
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Determine that the value x=9 of the following expiration given x2+3x-5
Step-by-step explanation:
To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:
9^2 + 3(9) - 5 = 81 + 27 - 5 = 103
Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.
rate my answer, please.
I need help asap! Pleasee I need help
Answer:
Its B
Step-by-step explanation: i know this because i just took that test yesterday and got it right
(3, 4, 5, ...} is finite or infinite
The given set is (3, 4, 5, ...} is infinite set.
A set with an infinite number of elements is one that cannot be numbered. A set that has no last element is said to be endless. A set that can be put into a one-to-one correspondence with a suitable subset of itself is said to be infinite. No issue with the in-class assignment.
The stars in the clear night sky, water droplets, and the billions of cells in the human body are just a few examples of endless sets of objects that surround us. A set of natural numbers, however, serves as the best illustration of an infinite set in mathematics. There is no limit to the amount of natural numbers.
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Please look at the photo for the question. Thank you!
The zeros with each multiplicity are given as follows:
Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.How to obtain the multiplicities?The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
Considering the linear factors of the function in this problem, the zeros are given as follows:
(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.More can be learned about the Factor Theorem at brainly.com/question/24729294
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What is another name for the starting value of a function? Select all that apply. I slope c-intercept O y-intercept Initial value rate of change
Answer:
The answer is "Initial value".
Step-by-step explanation:
The initial function value was its feature desired output unless the input signal is 0. It's an input valuing name, as well as the name for just a function's performance values set. In all input forces are defined as their function domain as well as the range of its program is called the output collection.
Answer:
initial value
Step-by-step explanation:
Help please:)
Graph the equation by plotting points.
X=4
Answer:
(4,0)
Step-by-step explanation:
You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!
Express your answer in numerals. Raj had 400 cookies. He sold 2 5 of them yesterday and 1 10 of them today. How many cookies did Raj have left?
Answer:
35
Step-by-step explanation:
Find the missing number.
n/5 = 7/8
Answer:
3!
Step-by-step explanation:
Hope this helped ! :D
100 POINTSSSS!! I AM IN DESPERATE NEED OF HELP! so like help? i am struggling with the part where i make an equation for the blocks. i have a few more problems like this to do, so please give me a full explanation of how you solved it. thank you!!
Numbers 1 and 2 are correct.
Question 3:
We can see in each figure, the number of rows matches the figure amount. For example, figure 1 has 1 row, figure 2 has 2 rows, figure 3 has 3 rows, etc. Another thing we can see is that one block gets added to each column in every figure. If we count starting from 3 and keep adding 1 for each column, we get 22 blocks for one column. In figure 20, there will be 20 rows and 22 columns. We also have to keep in mind that they add 2 extra blocks at the top and bottom that stick out like the ones shown. In total, figure 20 will consist of 442 blocks.
Question 4:
[(2 + f) * (f)] + 2 = b
(2 + f) represents the number of blocks in each column.
(f) represents the number of blocks in each row.
2 represents the two extra blocks in each figure.
Note that f in this equation equals the number of the figure. For example, figure 3 is f = 3
We can test our equation with figure three.
[(2 + f) * (f)] + 2 = b
We have figure three so f = 3. Substitute and solve.
[(2 + 3) * (3)] + 2 = b
[5 * 3] + 2 = b
15 + 2 = b
17 = b
In the example, the number of blocks is 17. Therefore, this equation works for any figure.
Best of Luck!
Answer:
We will see that the number of rows in each figure corresponds to the figure amount. Figure 1 has one row, figure 2 has two rows, figure 3 has three rows, and so on. Another thing we can see is that in each diagram, one block is attached to each column. We get 22 blocks for one column if we count from 3 and keep adding 1 for each column. There will be 20 rows and 22 columns in Figure 20. We must also remember that they add two additional blocks at the top and bottom that protrude like the ones shown. Figure 20 will have a limit of 442 blocks.
4th question:
[(2 + f) * (f)] [(2 + f) * (f)] [(2 + f) 2 + 1 = b
The number of blocks in each column is represented by (2 + f).
The number of blocks in each row is represented by (f).
We will see that the number of rows in each figure corresponds to the figure amount. Figure 1 has one row, figure 2 has two rows, figure 3 has three rows, and so on. Another thing we can see is that in each diagram, one block is attached to each column. We get 22 blocks for one column if we count from 3 and keep adding 1 for each column. There will be 20 rows and 22 columns in Figure 20. We must also remember that they add two additional blocks at the top and bottom that protrude like the ones shown. Figure 20 will have a limit of 442 blocks.
4th question:
[(2 + f) * (f)] [(2 + f) * (f)] [(2 + f) 2 + 1 = b
The number of blocks in each column is represented by (2 + f).
The number of blocks in each row is represented by (f).
Pippin went to a game room that charged $4 admission, plus $0. 25 per token. The equation which represents his total cost is y = 0. 25x + 4. What are the ordered pairs for the equation when you use these x-values: 5, 10, 20?.
Answer:
5 = $ 5.25. 10= $ 6.50. 20= $9.00
Step-by-step explanation:
if this is wrong you can completely write me a really rude email or message or something