Answer:
There are 5 possible outcomes when the first spinner is spun, and 2 possible outcomes when the second spinner is spun. Therefore, the sample space of possible outcomes when both spinners are spun is 5 x 2 = <<5*2=10>>10.
The possible outcomes are:
1A
1B
2A
2B
3A
3B
4A
4B
5A
5B
Of these, 3A, 2A, 1A, and 4B have a number less than 3 or an A. Therefore, there are 4 possible outcomes that have a number less than 3 or an A.
Step-by-step explanation:
Item #1
Item #2
3
Oreos
$3.29
for 15 oz.
Chips Ahoy
$2.88
for 12 oz.
Unit Price
Which is the better deal? (Circle One)
Item #1 Item #2
Answer:
chips ahoy
Step-by-step explanation:
the better deal is the chips ahoy because you would almost get the same amount of cookies for less money.
Find the sample size needed so that a 99.5% confidence interval will have margin of error of 1.5.
Keep in mind that without the population standard deviation, it is impossible to provide an exact sample size. However, this formula will give you a good starting point.
To find the sample size needed for a 99.5% confidence interval with a margin of error of 1.5, we can use the formula:
n = (Z * σ / E)^2
where n is the sample size, Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the margin of error.
For a 99.5% confidence interval, the Z-score is approximately 2.807 (from a standard normal distribution table). Since we do not have the population standard deviation (σ), we will need to estimate it using a sample standard deviation or use a conservative approach by assuming the maximum possible value. For now, let's assume we have an estimated standard deviation.
n = (2.807 * σ / 1.5)^2
Solve for n by plugging in the estimated standard deviation (σ) and then round up to the nearest whole number, as you cannot have a fraction of a sample.
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Your gym membership costs $10 a month after an initial membership fee of $50. How long have you had your account if you have paid $300? (Hint: Create an equation to model this situation then solve for the unknown.
Answer:
y(300)=10x+50
Step-by-step explanation: we know that Y has to be 300 because that is our final amount of money that we have paid. we pay 10 bucks a month for the membership alone. the initail fee is 50 bucks so what you start with. we then can start plugging in numbers to solve for x. if you do x=25 you will get 300.
10(25)+50=300
250+50=300
therefore your equation will be Y=10x+50
Explain how to solve 4X5X3. Use math terms in your answer.
Answer:
4 x 5 x 3 = 60
Step-by-step explanation:
4 x 5 = 20 , 20 x 3 = 60
Represent the values of x in interval notation:
x can be any real number between 5 and
I
Points possible: 10
This is attempt 1 of 1.
Submit
-
3 or any real number greater than or equal to 22.
Use "oo" for infinity.
License
Interval notation
(-5,-3) U [22,00)
• Interval notation in mathematics is a method to represent an interval of a number on the number line. In simpler words, interval notation is a way of writing subsets of the real number line .
• An interval comprises of the numbers lying between two specific given numbers. For example a set of numbers lying between 0 and 3 is an interval that contains 1,2.The way to represent interval notation is by using square bracket or round brackets, square brackets for both value included and round brackets for both value not included.
We are given that x is a real number which lies between -3 and -5 or any real number greater than or equal to 22
Firstly, x lies between -3 and -5
-5< x <-3
x = (-5,-3)
Secondly, x is greater than 22
x>=22
x = [22,00)
Interval notation
(-5,-3) U [22,00)
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A quantity with an initial value of 920 decays exponentially at a rate of 85% every week. What is the value of the quantity after 21 days, to the nearest hundredth?
Answer:
≈3.11
Step-by-step explanation:
The value of the quantity after 21 days, to the nearest hundredth, given the expoenential decay is 3.11.
What is the value of the quantity after 21 days?When a quantity decays , it means that the value of the quantity declines with the passage of time.
The formula that can be used to determine the value of the quantity after a number of weeks is :
FV = P (1 - r)^n
Where:
FV = Future valueP =initial valueR =rate of decayN = number of weeks = 21/7 = 3 weeks920 x (1 - 0.85)^3
920 x 0.15^3 = 3.11
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What greater 480 m or 48 hm
Answer: 48hm
Step-by-step explanation:
48hm = 4800m
480m < 4800m
Multiply and simplify: (4x)(3x²)
The answer can be written in the form cxP where:
C=
p =
> Next Question
Answer:
I think this is the right answer
C=12
P=3
6. if a is a square matrix that is row equivalent to the identity matrix then a is diago- nalizable.
False, If A is row equivalent to the identity matrix, then A is invertible.
Given :
if a is a square matrix that is row equivalent to the identity matrix then a is diago - nalizable.
Identity matrix :
An identity matrix is a square matrix having 1s on the main diagonal, and 0s everywhere else .
Invertible matrix :
An invertible matrix is a matrix for which matrix inversion operation exists, given that it satisfies the requisite conditions.
so given statement is false if A is row equivalent to the identity matrix, then A is invertible.
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-(4-x)=3/4(x-6) i need help pls
Solve for x by simplifying both sides of the equation, then isolating the variable.
x=−2
hope this is what your looking for
Answer:
x = -2
Step-by-step explanation:
\(-4+x=\frac{3}{4}x-\frac{9}{2}\)
\(\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\)
\(-4+x+4=\frac{3}{4}x-\frac{9}{2}+4\)
\(Simplify\)
\(x=-\frac{1}{2}+\frac{3}{4}x\)
\(\mathrm{Subtract\:}\frac{3}{4}x\mathrm{\:from\:both\:sides}\)
\(x-\frac{3}{4}x=-\frac{1}{2}+\frac{3}{4}x-\frac{3}{4}x\)
\(\frac{1}{4}x=-\frac{1}{2}\)
\(\mathrm{Multiply\:both\:sides\:by\:}4\)
\(4\cdot \frac{1}{4}x=4\left(-\frac{1}{2}\right)\)
\(x=-2\)
~lenvy~
The length of a rectangular book is 2 times its width. The perimeter of the book is 42 inches. Write a system of
equations to represent the dimensions of the book then find the length and width.
Answer:
Mark me as brainlist
Step-by-step explanation:
P = Perimeter
L = Length
W = Width
Perimeter of rectangle = L + L + W + W
or P = 2L + 2W
You know:
P = 36 inches
L = 2W [length is(=) 2 times it's width]
W = ?
P = 2L + 2W
Substitute/plug in what you know, plug in 2W for L since L = 2W
36 = 2(2W) + 2W Simplify
36 = 4W + 2W
36 = 6W Divide 6 on both sides
6 = W Now that you know the width, you can find the length:
L = 2W
L = 2(6)
L = 12
L = 12 in
W = 6 in
PROOF
P = 2(12) + 2(6)
P = 24 + 12
P = 36
Anybody know the answers?
Answer:
1 adult = 16 students
a = 16x
Step-by-step explanation:
When writing a proof, how do you construct the first statement?
A) By writing the justification for the first statement in the right column.
B) By copying the “prove” statement(s) from the original problem.
C) By writing the next logical statement from the current one.
D) By copying the “given” statement(s) from the original problem.
When writing a proof, you should construct the first statement by copying the “prove” statement(s) from the original problem. The Option B is correct.
How should you construct the first statement in a proof?When constructing the first statement in a proof, it is important to begin with copying the “prove” statement(s) from the original problem. This involves writing the next statement based on the given or previously proven statements.
It is not helpful to write a justification for the first statement in the right column without considering its logical connection to the problem. By beginning with a logically connected statement, the proof can proceed in a clear and organized manner which leads to a valid conclusion.
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the equation of a circle centered at the origin x^2 + y^2 = 64. what is the radius of the circle?
Answer:
r = 8 units
Step-by-step explanation:
The equation of the circle centered at the origin is x² + y² = r²
x² + y² = 64
x² + y² = 8²
r = 8 units
Answer:
8
Step-by-step explanation:
An equation of a circle is depicted by the notation \((x-h)^2+(y-k)^2=r^2\), where
- \((h,k)\) is the center point of the circle
- \(r\) is the radius (the span of units from the origin to the border of the circle)
In this unique problem, the center is the origin (0,0), so \(h\) and \(k\) respectively equal 0.
Since the equation of the circle is \(x^2+y^2=64\) , we must square root 64 since it's in it's \(r^2\) form to obtain the value of \(r\), which is the radius.
\(\sqrt{64}\)=±8
Despite mathematically, -8 or 8 will work in this case, you cannot have a negative radius; therefore, the radius of the circle is 8.
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0.5 (-2 + 4d) -13 for d
Step-by-step explanation:
-13 x 4 = -52
-52 x 0.5 = -25
-2 x 0.5 = -1
-1 + -25 = -26
5
Select the correct answer.
Which criterion, if any, could prove the triangles are congruent?
OA.
ASA
OB
SAS
Oc.
HL
OD.
none
Answer:
I could be wrong, but I believe that the answer is D, none. This is because there is only proof of one congruent side and angle.
Step-by-step explanation:
None of the options can prove that the triangles are congruent so option (D) will be correct.
What is congruence?If two figures are exactly the same in sense of their length side all things then they will be congruent.
If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.
In other meaning, if you can copy a figure then that copy and the original figure will be congruent.
In the given figure only one side and one angle are the same.
But for congruency three pairs should be the same which is not present in the figure hence none of the above is valid
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4. Approximate the solution to this system of equations.
y = -2x+6
y = 4x - 1
The solution of the system of linear equations, is (1.167, 3.667).
Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,
y = -2x+6............(i)
y = 4x - 1.......(ii)
Equating the equations since the LHS is same,
-2x+6 = 4x-1
6x = 7
x = 1.167
Put x = 1.16 to find the value of y,
y = 4(1.16)-1
y = 4.66-1
y = 3.667
Therefore, the solution of the system of linear equations, is (1.167, 3.667).
You can also find the solution using the graphical method,
Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]
Hence, the solution of the system of linear equations, is (1.167, 3.667).
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construct a 33 matrix a, with nonzero entries, and a vector b in such that b is not in the set spanned by the columns of a.
Let a be a 33 matrix with nonzero entries, and b be a vector with elements that are not linear combinations of the columns of a. Then b is not in the set spanned by the columns of a.
Let's construct a 33 matrix a with nonzero entries. We can construct this matrix by deciding on 33 elements, each of which is not equal to zero, and arranging them into 33 columns and rows with each column and row having one element. Next, we can create a vector b with elements that are not linear combinations of the columns of a. This can be done by deciding on 33 elements for the vector b and ensure that none of the elements of b are linear combinations of the elements of the matrix a. Finally, we can test whether b is in the set spanned by the columns of a. To do this, we can take each column of a and check if any of the elements in b can be expressed as a linear combination of the elements in that column. If any of the elements in b can be expressed as a linear combination of the elements in any of the columns of a, then b is in the set spanned by the columns of a. Otherwise, b is not in the set spanned by the columns of a.
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whats the slope and the y-intercept of the graph of y−6=38x?
Answer:
slope = 38x
y intercept = 6
Step-by-step explanation:
Rewrite the equation ins lope intercept form by:
adding 6 to both sides(cancelling it out on the left)
y = 38x+ 6
*brainliest plz
Answer:
The slope is 38 and the y-intercept is 6
Step-by-step explanation:
y−6=38x
=y=38x+6
please help me solve this problem
The features related to vectors are listed below:
Case A: u' = (- 4√41 / 41, - 5√41/ 41)
Case B: Tip coordinantes of vector v: (x, y) = (10, 10)
Case C: r = 11.402
How to determine vectors
In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.
Case A - Unit vector
Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:
u' = u / ||u||
Where:
u' - Unit vector.u - Vectoru - ||u|| - Magnitude of the vector.Please notice that the magnitude of the vector is determined by Pythagorean theorem:
r = √[(Δx)² + (Δy)²]
Where:
r - MagnitudeΔx - Change in the x-direction.Δy - Change in the y-direction.Thus, the unit vector of u is:
u' = (- 4, - 5) / √[(- 4)² + (- 5)²]
u' = (- 4, - 5) / √41
u' = (- 4 / √41, - 5 / √41)
u' = (- 4√41 / 41, - 5√41/ 41)
Case B - Definition of a vector
This can be found easily by vector subtraction:
v = Tip coordinates - Base coordinates
(3, 4) = (x, y) - (7, 6)
(x, y) = (3, 4) + (7, 6)
(x, y) = (10, 10)
Case C - Magnitude of a vector
The magnitude is found by means of Pyhtagorean theorem:
r = √[(- 4 - 3)² + (- 5 - 4)²]
r = √[(- 7)² + (- 9)²]
r = 11.402
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Lamont surveyed his class on how they spend their free time during the week
Answer:
30:15 and 2 times the amount because 15x2=30
Step-by-step explanation:
In the figure, triangles ABC and DEF are congruent.
Find the measure of DF.
a. 13m
b. 12m
c. 7m
d. 13.928m
Help pls will give brainlist
Answer:
should be c
Step-by-step explanation:
Answer:
B) is the answer I hope I could help
You are driving across America from Knoxville, Tennessee to Nashville, Tennessee. It takes 2 hours and 20 minutes. Nashville is an hour behind Knoxville. If you leave Knoxville 11:13, What time will you arrive in Nashville?
The time that you will arrive in Nashville is 1:33.
How to compute the time?From the information given, the person leaves Knoxville at 11:13, and the journey takes 2 hours and 20 minutes.
Therefore the time when the person will arrive will be the addition of the time given.
This will be:
= 11:13 + 2:20
= 1:33
Therefore, the person will arrive by 1:33.
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only 1 expression per box
Answer:
1) 4 2) 5 3) 6
Step-by-step explanation:
;##;,##*#*#*#(#(#
Answer:
(n + 7)(-3)
3(n - 7)
7(n - 3)
Step-by-step explanation:
We are given worded expressions and are asked to match the algebraic expression that goes along with it.
Let's look at the first, "Negative three times the sum of a number and seven"
Our keywords here are negative, times, and sum.
These three indicate that there is a negative number, multiplication, and addition.
Start off with a negative three, of course, the value is -3, and it is alone.
Followed with the word times, this means that -3 is valued by itself and is not being added or subtracted by any other number.
Now the sum of a number and seven proves that these two must be grouped together, therefore our answer is (n + 7)(-3)
Now for the second, "Three times the difference of a number and 7"
Our keywords are times and difference
There is a multiplication and subtraction problem within this expression
So first, three times shows that the value 3 is alone.
Followed by the difference of a number and 7, meaning that the number (n) and 7 are in an expression as themselves and should be grouped.
Our answer is 3(n - 7)
Onto the last, "Seven times the sum of a number and negative three"
Our keywords are times, sum, and negative
Just like the first, there is an addition, multiplication, and negative number
Seven times indicates that the value 7 is alone
The sum of a number shows that this is a separate group, followed with negative three, n is being added to negative three
With the combination of another group and the addition problem, our answer is 7(n - 3)
Find the surface area of a cylinder with a height of 8 and a base radius of 5 m.
Use the value 3.14 for, and do not do any rounding.
Be sure to include the correct unit.
Using the height and radius given, the surface area of the cylinder is 408.2m²
What is surface area of a cylinder?The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:
A = 2πrh + 2πr²
where:
A is the surface area of the cylinder,π is the mathematical constant r is the radius of the base of the cylinder, andh is the height (or length) of the cylinder.In the given question, the data are;
h = 8mr = 5mSubstituting the value into the formula
A = 2π(5 * 8) + 2π(5)²
A = 408.2m²
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If John solved the equation x² - 10x +8=0 by completing the square, one of the steps in his process would
be:
(z-5)² = 17
(z+4)² =10z+16
(z+4)² =10z
(2-5)² = -8
If John solved the equation x² - 10x + 8 = 0 by completing the square, one of the steps in his process would be: A. (x - 5)² = 17.
What is a quadratic equation?In Mathematics, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Next, we would solve the given quadratic equation by using the completing the square method;
x² - 10x + 8 = 0
x² - 10x = -8
In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:
x² - 10x + (-10/2)² = 8 + (-10/2)²
x² - 10x + 25 = -8 + 25
x² - 10x + 25 = 17
By simplifying, we have;
(x - 5)² = 17
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The city council voted on a new tax. 54 city council members voted in favor of the tax and 21 voted against the tax. What percentage of the city council members voted in favor of the tax.
Write answer using a percent sigh.
The percentage of the city council members who voted in favor of the tax is 72%.
How to calculate the percentage?From the information, the city council voted on a new tax and 54 city council members voted in favor of the tax and 21 voted against the tax.
The total number of people who voted will be:
= 54 + 21
= 75
Those who voted in favor can be represented as a percentage illustrated thus:
= People who voted in favor / Total number of vote × 100
= 54 / 75 × 100
= 72%
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Complete the proof that the point (3, 7) does or does not lie on the circle with center (-1, 4) and containing the point (-1, 9).
The point (3, 7) lies on the circle with center (-1, 4) and containing the point (-1, 9).
Describe Distance Formula?The distance formula is a mathematical formula used to calculate the distance between two points in a two or three-dimensional space. It is derived from the Pythagorean theorem and is given by:
d = √((x2 - x1)² + (y2 - y1)²)
Where d represents the distance between the two points, (x1, y1) and (x2, y2) represent the coordinates of the two points in a two-dimensional space.
To determine if the point (3, 7) lies on the circle with center (-1, 4) and containing the point (-1, 9), we need to calculate the distance between the center of the circle and the point (3, 7), and compare it to the radius of the circle.
Let's first find the radius of the circle. Since the circle contains the point (-1, 9), the distance between the center of the circle and (-1, 9) is equal to the radius. Using the distance formula, we get:
radius = √[(9 - 4)² + (-1 - (-1))²] = √[25] = 5
Now let's find the distance between the center of the circle (-1, 4) and the point (3, 7):
distance = √[(7 - 4)² + (3 - (-1))²] = √[3² + 4²] = 5
We see that the distance between the center of the circle and the point (3, 7) is equal to the radius of the circle. Therefore, the point (3, 7) lies on the circle with center (-1, 4) and containing the point (-1, 9).
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this is urgent please help i need this qucik : neetu said that the sum of -8+d is always positive whenthe value of d is greater than 0 .is neetu's statement always true some times true or never true? explain your answer.provide at least two examples that support your answer.
Answer:
no this isn't true d could = 1 and then -8+1 is still -7
Step-by-step explanation: