Answer:
3,628,800 arrangements
Step-by-step explanation:
Permutation has to do with arrangement.
The number of ways to arrange n objects is expressed as:
n! = n(n-1)(n-2).... (n-r)!
If Sharel buys 10 charms for the bracelet, the number of ways the charms can be arranged is 10! ways
10! = 10*9*8*7*6*5*4*3*2*1
10! = 720*840*6
10! = 3,628,800 arrangements
Hence there are 3,628,800 arrangements of charms
. If two of the angles in a scalene triangle are 54° and 87°, what is the other angle?
The answer is:
⇨ x = 39°Work/explanation:
Bear in mind that the sum of all the angles in a triangle is 180°.
Given two angles, we can easily find the third one.
Let's call it x.
Next, we set up an equation:
\(\sf{54+87+x=180}\)
\(\sf{141+x=180}\)
Subtract 141 on each side.
\(\sf{x=180-141}\)
\(\sf{x=39}\)
Hence, the other angle is 39°.Cynthia has a photo frame that has a circumference of 56.52cm. What is the radius of the photo frame?
Answer:8.99 cm
Step-by-step explanation:
Answer:
\(8.995\)cm
Step-by-step explanation:
The circumference formula is: \(C=2\pi r\)
We are given the circumference, which is 56.52cm.
The question wants us to find the radius, r.
To achieve this, we must solve for r.
Plugging in 56.52 for C we get:
\(56.52=2\pi r\)
Dividing both sides by \(2\pi\), we find r:\(8.995\)
\(\frac{56.52}{2\pi } =r\)
\(8.995\)≈\(r\)
If you want to round it up, you can round it to 9cm.
consider the following probability distribution: 1 2 3 4 5 0.1 0.15 0.40 0.25 0.10 find (write it up to second decimal place).
The mean value is 1.19
x p(x) x*p(x) X^2p(x)
1 0.1 0.1 0.1
2 0.15 0.3 0.6
3 0.4 1.2 3.6
4 0.25 1 4
5 0.1 0.5 2.5
Sum 1 3.1 10.8
Mean =Σx * p(x)
u=3.1
Variance=σ^2
=Σx*p(x)-u^2
=10.8-(3.1)^2 =1 .19
A probability distribution is a frequency distribution that has been idealised. A frequency distribution is a description of a particular sample or dataset. It is the number of times each possible variable value appears in the dataset.
The probability of occurrence determines how many times a value appears in a sample. Probability is a number between 0 and 1 that indicates the likelihood of an event occurring:
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Solve for x. Please due soon
The value of x for measure a base angle for the isosceles trapezoid is equal to 25°.
What is an Isosceles trapezoidThis is a trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal. The opposite angles are supplementary which implies they sum up to 180°.
angle C is equal to angle D so;
3x + 1 = 76°
3x = 76° - 1 {subtract 1 from both sides}
3x = 75°
x = 75°/3 {divide through by 3}
x = 25°
Therefore, the value of x for measure a base angle for the isosceles trapezoid is equal to 25°.
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grant is thinking of two numbers. He says one of the numbers is twice the other number and the sum of the numbers is 42. what are the numbers?
Answer:
Answer is in attached photo.
Step-by-step explanation:
SolutionThe solution is in the attached photo, do take note to solve this question, we can assign 2 variables to the 2 conditions stated in the question, and solve them simultaenously.
Mya runs around a 400 m track at a constant speed of 250 m/min. how many minutes does it take Mya to complete four laps of the track
Answer:
6.4 laps
Step-by-step explanation:
Joyce works at Fortunato's Furniture. She is paid on commission. She receives 10% of her first $1,200 in sales and 15% of the balance of her sales. Last week she earned $950. What was the value of the furniture she sold? show your work.
The total value of the furniture sold by Joyce last week is A = $ 6,733.33
Given data ,
Let's call the value of the furniture Joyce sold "x".
She receives 10% commission on the first $1,200 of sales, which is $120:
Commission on first $1,200 = 0.1 * 1200 = 120
The remaining sales that she earns commission on is the difference between the total value of the furniture sold and the first $1,200:
Remaining sales = x - 1200
She earns 15% commission on the remaining sales, which is 0.15 times the remaining sales:
Commission on remaining sales = 0.15 * (x - 1200)
Her total earnings from commission last week was $950. So we can write an equation:
Commission on first $1,200 + Commission on remaining sales = $950
Substituting the expressions we found for the two commissions, we get:
120 + 0.15(x - 1200) = 950
120 + 0.15x - 180 = 950
On simplifying the equation , we get
0.15x - 60 = 950
0.15x = 1010
x = 6,733.33
Hence , the value of the furniture Joyce sold last week was $6,733.33
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Which of the following represents an INEFFICIENT point of production?
a. Point A
b. Point B
c. Point D
d. None
e. Point C
In the graph the Inefficient point of production is represented by the point A , option(a)Point A is correct .
The graph given in the question is for Skateboards vs Bikers.
we need to find the point which represents the Inefficient point of Production.
The points in the Production Possibility Curve are said to be inefficient when the resources are not utilized to the fullest.
The given Production possibility curve between the Skateboards and the Bikers have Point A as the Inefficient Point .
Therefore , the point A represents the Inefficient point of production in the given Production possibility curve , the correct option is (a)Point A.
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Find the length of AB with endpoints A(5, 8) and B(-1, 6) Leave answer in simplest radical form.
Answer:
Step-by-step explanation:
Givens
x2 = 5
x1 = - 1
y2 = 8
y1 = 6
Equation
d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Solution
d = sqrt( (5 - - 1)^2 + (8 - 6)^2 )
d = sqrt( 36 + 4)
d = sqrt(40)
d = 2 * sqrt(10)
A truck with 30-in.-diameter wheels is traveling at 50 mi/h.
Find the angular speed of the wheels in rad/min, "hint convert miles to inches & hours to minutes:
_________rad/min
How many revolutions per minute do the wheels make?
___________rpm
Answer:
A. the angular speed is 3771.4 rad/min
b. 5921 rpms
Step-by-step explanation: I just got this same question right on a test.
The value of y varies directly with x. If x = 7, then y = 84 . What is the value of x when y = 60 ?
Answer:
if y=60 then x=5
Step-by-step explanation:
im in college Algebra if you need help just ask
Give steps to simplify in the correct order
The steps to simplify in the correct order is [(x+1)(x+1)][(x-6)(x+3)] * [(x+1)(x+6)/[x(x-1)]
What is simplification?Simplification is a mathematical process of making an expression look more simpler than it was before;
The given expression is [(x²+2x+1)]/x²-3x-18)]÷[(x²-1)/[(x²-7x+6)]
²The first step is to simplify [(x²+2x+1)
factorize the equation to get (x+1)(x+1) ......................1
The the second step is to factorize x²-3x-18
= x(x+3)-6(x+3)
=(x-6)(x+3) ...............................................2
The next step is to factors x²-1 to get
x(x-1) .....................................................................................3
The next step is to factorize
x²-7x+6 to get
*x+1) (x+6) ...........................................................................4
Joining the expressions together we have
[(x+1)(x+1)]/[(x-6)(x+3)] *[(x+1)(x+6)]/x(x-1)
Conclusively the expression becomes [(x+1)(x+1)]/[(x-6)(x+3)] *[(x+1)(x+6)]/x(x-1)
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Write this statement in your own words: ∃x ∈ ℕ, y ∈ ℤ|x² = y² Rewrite this using the appropriate mathematical notation: Even numbers are in the set of integers.
Answer:
See below.
Step-by-step explanation:
1)
So we have:
\(\exists x\in\mathbb{N},y\in\mathbb{Z}|x^2=y^2\)
This can be interpreted as:
"There exists a natural number x and an integer y such that x² is equal to y²."
2)
So we want even numbers are in the set of integers.
\(\{2n:n\in\mathbb{Z}\}\in\mathbb{Z}\)
This is interpreted as:
"The set of even numbers (2n such that n is an integer) is in the set of integers"
6. Find the missing lengths of the sides.
Answer: D
30 60 90 trinagle rules
a=8
b=a sqaure root of 3 or 8square root of 3
c=2a or 2*8 or c=16
Step-by-step explanation:
Step-by-step explanation:
sin30°=8/c
1/2=8/c
8×2=c
16=c
tan30°=8/b
\( \frac{1}{ \sqrt{3} } = \frac{8}{b} \\ 8 \sqrt{3} = b\)
option. d
Is there a difference between shapes when plotting Uniform acceleration towards (+)directtion,Uniform acceleration towards (-)direction, Uniform deceleration towards (+) direction and Uniform deceleration towards (-) direction in displacement time graph
Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.
Uniform acceleration towards the positive direction:
In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.
Uniform acceleration towards the negative direction:
Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.
The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.
Uniform deceleration towards the positive direction:
In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.
The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.
Uniform deceleration towards the negative direction:
Here, the object's velocity decreases in the negative direction, opposing its initial direction.
The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.
In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.
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6% increase of current 62900 additional payment
The final amount after the 6% increase and Additional payment would be $67,774.
The 6% increase of a given value, we can multiply the value by 1.06. So if the current value is 62900, the 6% increase would be:
62900 x 1.06 = 66774
Therefore, the new value after the 6% increase would be $66,774.
If there is an additional payment on top of this increase, we can simply add that amount to the new value. For example, if the additional payment is $1000, the total amount would be:
66774 + 1000 = 67774
So the final amount after the 6% increase and additional payment would be $67,774.
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what is the product of 5x²y+3xy³
Answer:
\((xy)(5x+3y^{2} )\)
Step-by-step explanation:
The terms 5x²y and 3xy³ both have xy in common. We can factor out xy.
The area of a rectangle is 80 square units. A side of the rectangle, representing the
length, is 4 units long. Which could be the vertices of aside of the rectangle that
represents the width?
Answer:
So the width of the rectangle is 20 units.
Step-by-step explanation:
Since the area of the rectangle is 80 square units and the length of one side is 4 units, we can use the formula for the area of a rectangle (A = lw) to find the width of the rectangle. We can set up the equation like this:
A = lw
80 = 4w
w = 20
So the width of the rectangle is 20 units. This means that the vertices of one of the sides of the rectangle that represents the width could be (0,0), (0,20), (20,0), and (20,20). These coordinates assume that the lower left corner of the rectangle is at the origin (0,0). If the rectangle is not at the origin, the coordinates of the vertices would be different. For example, if the lower left corner of the rectangle was at (-5,5), the coordinates of the vertices would be (-5,5), (-5,25), (15,5), and (15,25).
What’s
1.7a + 0.3a = 0.8
Please explain step by step to get picked brainliest!
1.7a+0.3a=0.8
2a=0.8
a=0.4
PLEASE HELP ME WITH THIS
Answer:
3.8
yep that's the answer
Eighteen technicians in a cell phone repair shop are randomly selected to participate in a study comparing two screen repair techniques. They are randomly assigned one of the two techniques. The manager trains 9 technicians on one technique and trains the other 9 technicians on the second technique. He then records the number of screen repairs each technician does in one week. Which inferential statistical test would be most appropriate for this scenario?
A one-sample z-test
A paired t-test
A chi-square goodness-of-fit test
A one-sample t-test
A two-sample t-test
Answer:
a two sample t test
Step-by-step explanation:
The inferential statistical test that would be most appropriate for this scenario is a two-sample t-test option fifth is correct.
What is a t-test?A t-test is a hypothesis-testing technique for analyzing the means of one or two populations. A t-test can be used to see if a single group differs from a known value, if two groups differ from each other (an independent two-sample t-test), or if paired measurements show a significant difference.
Based on the information provided, there are two techniques, each with nine technicians. The sample sizes are tiny, in other words. Furthermore, the two samples are unrelated to one another. As a result, a two-sample t-test is appropriate.
Thus, the inferential statistical test that would be most appropriate for this scenario is a two-sample t-test option fifth is correct.
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A coin has 2 sides: heads (H) and tails (T). A bag has 3 balls:1 blue (B), 1 green (G), and 1 yellow (Y)You toss a coin and randomly pick a ball. What is the samplespace?
We are given that a coin is toseed with two possible outcomes (head or tails) and a ball from a ball with balls of three different colors is picked.
We have that the possible outcomes are all possible combinations of the faces of the coin and the color of one of the balls.
Therfore, if:
\(\begin{gathered} H=\text{ head} \\ T=\text{ tail} \\ G=\text{ green} \\ B=\text{ blue } \\ Y=\text{ yellow} \end{gathered}\)The possible combinations are:
\(\lbrace HB,HG,HY,TB,TG,TY\rbrace\)Therefore, the right answer is C.
Given the following coordinates complete the glide reflection transformation.
A(−1,−3)
B(−4,−1)
C(−6,−4)
Transformation: Reflection over the x-axis and a translation of shifting right 10 units.
Given:
The vertices of a triangle are A(−1,−3) , B(−4,−1) and C(−6,−4).
Transformation: Reflection over the x-axis and a translation of shifting right 10 units.
To find:
The image after glide reflection transformation.
Solution:
The vertices of a triangle are A(−1,−3) , B(−4,−1) and C(−6,−4).
If a figure is reflected over the x-axis, then
\((x,y)\to (x,-y)\)
Using this, we get
\(A(-1,-3)\to A'(-1,3)\)
\(B(-4,-1)\to B'(-4,1)\)
\(C(-6,-4)\to C'(-6,4)\)
If a figure is shifting 10 units right, then
\((x,y)\to (x+10,y)\)
Using this we get
\(A'(-1,3)\to A''(-1+10,3)\)
\(A'(-1,3)\to A''(9,3)\)
Similarly,
\(B'(-4,1)\to B''(-4+10,1)\)
\(B'-4,1)\to B''(6,1)\)
And,
\(C'(-6,-4)\to C''(-6+10,4)\)
\(C'(-6,-4)\to C''(4,4)\)
Therefore, the vertices of the image are A''(9,3), B''(6,1) and C''(4,4).
8x÷4=100 What is the value of x in the equation?
Answer:
Solving 8x ÷ 4 = 100, we have:
2x = 100
x = 50
So the value of x is 50.
Answer:
x = 50
Step-by-step explanation:
To answer this question, we have to isolate the x. To do this, we have to get rid of any other numbers around it by doing the inverse of the operation.
1)
÷ 4 = ×4 to both sides8x ÷ 4 × 4 = 8x100 × 4 = 4008x = 4002)
8x = ÷ 8 to both sides8x ÷ 8 = x400 ÷ 8 = 50x = 50This means that x is 50!
To check our answer is correct we can substitute 50 to x in the question...
(8 × 50) ÷ 4 = 100It is correct!
Hope this helps, have a lovely day! :)
Error Analysis:
Describe and correct the error made in the reasoning:
If a/5 = b/3, then 5/a = b/3 * x
The correct expression is 5/a = 1. There is no need to introduce an additional variable "x".
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
The error in the reasoning is that it assumes that multiplying the second fraction by "x" will result in an equivalent expression to 5/a. However, this is not necessarily true.
To correct the error, we can use the property of reciprocals, which states that if a/b = c/d, then b/a = d/c. Using this property, we can rewrite the given equation as:
a/5 = b/3
5/a = 3/b (multiplying both sides by 5/a)
5/a = (b/3) * (3/b) (multiplying both sides by the reciprocal of b/3)
5/a = 1
Therefore, the correct expression is 5/a = 1. There is no need to introduce an additional variable "x".
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-6(y+15)=-3y+6
what value of y makes the equation true
Answer:
y = -32
Step-by-step explanation:
-6(y+15)=-3y+6
Distribute
-6y - 90 = -3y +6
Add 6y to each side
-6y -90+6y = -3y+6y +6
-90 = 3y+6
Subtract 6 from each side
-90 -6 = 3y +6-6
-96 = 3y
Divide by 3
-96/3 = 3y/3
-32 = y
Answer:
-32 !!!!
Step-by-step explanation:
Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver’s distance for the same section of the trip is displayed below.
Who had a head start, and how many miles was the head start?
Rita had a 28-mile head start.
Roger had a 26-mile head start.
Roger had a 25-mile head start.
Rita had a 22-mile head start.
Joseph notebook cover is 12 inches by 8 inches.he put a wildlife sticker on the notebook.if the sticker is 3 inches by 2 inches.how much of the notebook cover is still showing?
Megan, a supermarket employee, approached 50 random customers and asked whether they would be willing to discuss what they liked most about the store. She interviewed the 10 who said yes.
Is this sample of the supermarket's customers likely to be biased?
Based on the information, the sample of the supermarket's customers is likely to be biased as only those who said yes we're considered.
What is bias?In statistics, the term "bias" refers to a consistent departure from the true value. As a simple increase in sample size cannot be used to decrease it, this sampling process may provide the researcher with some major issues. The bias is the discrepancy between the parameter's actual value and its expected value.
It should be noted that based on the information, Megan interviewed the 10 who said yes.
Therefore, the sample of the supermarket's customers is likely to be biased as only those who said yes we're considered.
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14. A square has a perimeter of 36 units. One vertex of the square is located at (3,5) on the coordinate grid, What could be the x- and y-coordinates of another vertex of the square?
Answer:
For a square of side length L, the perimeter is:
P = 4*L
Then if the perimeter of our square is 36 units, we have:
36 units = 4*L
(36 units)/4 = L = 9 units.
Now we know that one vertex of the square is located at (3, 5)
Then another vertex of the square can be at:
A distance of 9 units of this point (such that these vertices are connected by one side of the square)
Some examples can be:
(3 + 9, 5) = (12, 5)
or
(3, 5 + 9) = (3, 14)
These are the simpler options, there are a lot of other possible points that can be another vertes (we can have a circle of radius 9 units centered in the point (3, 5), all these points can be another vertex of the square).
We also can have a vertex that is connected by the diagonal, this point can be:
(3 + 9, 5 + 9) = (12, 14)
or
(3 - 9, 5 - 9) = (-6, -4)
Again, there are a lot of other possible points that can be this vertex (A circle of radius √2*9 units centered in the point (3, 5)).