Answer:
[tex]\frac{6}{10}, \frac{7}{10}, \frac{8}{10},\frac{9}{10}[/tex] (in general, the numerator has to be greater than half the denominator)
Step-by-step explanation:
There are an infinite number of fractions greater than 1/2, but we can generally form a rule to figure out whether a fraction is greater than 1/2, which will help us find those fractions!
Forming a Rule:Let's first just express a fraction in the form: [tex]\frac{a}{b}[/tex], and we have to ask our self, what determines whether this is 1/2? Well we know if we have 1/2, and multiply it by two, then we have a whole, or one, but the only case where we have a whole, or one, in fraction form, is where the numerator and denominator are equal.
This means, multiplying the numerator "a" by 2, will result in it being equal to the denominator "b". From here, it can be determined that for the fraction: [tex]\frac{a}{b}[/tex], to be 1/2, then the numerator "a" has to be half the denominator "b". But this is just telling us what "a" and "b" need to be, for the fraction to be equal to 1/2, not greater than 1/2. This is still useful, since in general the following is true: [tex]\frac{a+1}{b}[/tex], if we add one to the numerator, the fraction becomes bigger. So if we want the fraction to be bigger than 1/2, the numerator "a" just needs to be bigger or larger than the half the denominator "b".
Examples:Let's select a denominator, and from there find numerators that make the fraction bigger than 1/2. For this example let's just select "9". In this case, for a fraction to be 1/2, the numerator just has to be larger than 9/2 or 4.5, but since we can't have decimals in fractions, or at least proper fractions, we just need the numerator to be greater than or equal to 5 (5 is included, since it's still bigger than 4.5)
[tex]\frac{4}{5}[/tex] is actually the only proper fraction, since 5/5 would just simplify to one.
Let's do another example, in this case let the denominator be 10. For the fraction to be considered greater than 1/2, the numerator, has to be greater than half the denominator, 10/2 = 5.
[tex]\frac{6}{10}, \frac{7}{10}, \frac{8}{10},\frac{9}{10}[/tex] would all be valid answers (although some do simplify further). But all of them represent fractions which have a greater value than 1/2
If you’re currently making $10.50 per hour and you’re offered a new job that pays $11.75 per hour, what will be your percent of increase in pay?
Answer: To find the percent increase in pay, you can use the following formula:
percent increase = ((new pay - old pay)/old pay) * 100
Plugging in the values given in the question, you get:
percent increase = ((11.75 - 10.50)/10.50) * 100
= (1.25/10.50) * 100
= 0.119047619 * 100
= 11.9047619%
Therefore, the percent increase in pay is approximately 11.9%.
Step-by-step explanation:
the average weight of 20 students in a certain school was found to be 165 with a standard deviation of 4.5 a) construct a 90% confidence interval for the population mean
A 90% confidence interval for the population mean is; CI = (163.355, 166.655)
How to find the confidence Interval?The formula to find the confidence level here is;
CI = x' ± z(s/√n)
Where;
CI is confidence level
z-score at confidence level
x' is sample mean
s is standard deviation
n is sample size
We are given;
Sample mean; x' = 165
Sample size; n = 20
standard deviation; s = 4.5
z at CL of 90% = 1.645
Thus;
CI = 165 ± 1.645(4.5/√20)
CI = 165 ± 1.655
CI = (163.355, 166.655)
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Directions: Determine whether each relation is a function. Explain your answer.
X
12)
10)
#IN
13)
x
14)
15)
10
Answer:
10. Yes
11. No
12. Yes
13. Yes
14. No
15. No
Step-by-step explanation:
Use the vertical line test to determine whether or not a relation is a function. The vertical line test is when you draw a line through a relation and if that line intersects the relation more than ONCE, the relation is not a function.
10. Is a function, the vertical line only intersects the relation once.
11. Isn't a function, intersects the relation more than once.
12. Is a function, intersects the relation only once.
13. Is a function, only intersects the relation once.
14. Isn't the function, intersects the relation more than once.
15. Isn't a function, the relation intersects the function more than once.
Hope this helps.
Imagine products you might create in a given amount of time: poems, baked goods, online videos, movie reviews, video game mods, scarves, drawings, or anything else you can picture yourself making as part of a small, one-person business. Choose and describe two such products. They will be product 1 and product 2
Producing written and visual content for social media can be divided into two items that can be developed as a one-person small business in a little amount of time.
What is social Media?Social media is internet communication that enables real-time information sharing and customer interaction. Social networking can help you: better connect with your audience. building online networks sell and publicise the goods and services you offer.
Social media's effects on business
The social media presence of businesses in order to boost visibility, engagement, positioning, and value creation for their intended audience has been facilitated by the digital revolution.
In order to help businesses establish their strategy in the digital environment, marketing and advertising agencies can quickly produce digital media such posters and catalogues in addition to advertising text as their core offerings.
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If the probability of s1 = .6 and the probability of F = .40 what is the value at node 4.
Group of answer choices
320
280
310
260
200
If the probability of s1 = .6 the value above node degree 4 will be 320, as determined by the solution.
What does a node's degree mean?The area of mathematics known as probability deals with numerical descriptions about how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
According to the given information:S1 probability = 0.6
F's likelihood is 0.40.
If the probability of S1 is given a value of 0.6, then
Probability of S2 then equals 0.4.
Using the table equation's payoff values as an exception.
EV=Σ
Each decision's expected value is calculated.
EV(Node 8) = 0.6 * 100 + 0.4 * 300
= 180
EV(Node 9) = 0.6 * 400 + 0.4 * 200= 320
We chose the best value for node 4 from nodes 8 and 9.
The ideal option for node 9 is the line complicated branch with EV(node 8) = 180.
The ideal anticipated value is determined to be 320.
Node 4's EV is 320.
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To find the next number in the sequence: 7, 10, 13, 16, ____ you would need to do which of the following?
Answer:
19. Add
Step-by-step explanation:
10 - 7 =
13 - 10 =
16 - 13 =
16 + 3 =
A bag contains 9 tiles, each with a different number from 1 - 9. You chose a tile without looking, put it aside, choose a second tile without looking, put it aside, then choose a third tile without looking. What is the probability that you choose tiles with the numbers 1, 2, and 3 in that order?
Someone pls explain this. I know the answer is 1/504 but how do you get there?
The probability to choose tiles with the numbers 1, 2, and 3 in that order is a form of permutation and is equal to 1/504.
What are permutations?Permutations refer to the arrangements of objects in certain order or way.
The number of alternative arrangements in a set can be calculated mathematically using a permutation where the order of the configurations is important.
The probability to choose tiles with the numbers 1, 2, and 3 in that order is a form of permutation.
The probability is obtained as 1 / ₉P₃
where;
₉P₃ = 9! / (9 - 3)!
₉P₃ = 9! / 6!
9! = 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
6! = 6 * 5 * 4 * 3 * 2 * 1
₉P₃ = 504
Hence, the probability = 1/504
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In 8 hours, Badria reads 48 chapters of a book. What is her rate in chapters per hour?
Answer:
6chapters per hour
Step-by-step explanation:
Take 48 chapters divided by the no hrs which are 8
Marissa and Kyle own a total of 66 dvds. Kyle owns 3 more than twice as many dvds as marissa. how many dvds does marissa own?
The number of Dvds owned by Maarissa is 45
How to find the number of dvds?The given parameters that will guide us in finding the number of dvds owned by marissa are
Marissa and Kyle own a total of 66 dvds. Kyle owns 3 more than twice as many dvds as marissa.
Let the number of dvds owned by Marissa be x
Nymber of dvds owned by Kyle be y
This implies that x+y = 66 ............................1
also, 2y + 3 = x ..................................................2
Substitute x = 2y + 3 in equation 1
= 2y + 3+y =66 Collecting like terms
⇒ 3y = 63
Making y the subject of the relation we have y=21
Recall that 2y + 3 = x
That means x = 2(21) + 3
x=45
Therefore Marrissa owns 45 dvds
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A figure was dilated so that the new area is 16 times bigger than the original area. Find
one possible set of perimeters for the two figures.
Please Explain!!
One possible set of perimeters for the two figures is 4x and 16x.
What is Dilation?Dilation is one of the type of transformation where the size of the object is made smaller or larger without affecting the shape.
Let A be the area of the original figure.
New area after dilation = 16A
Suppose that the figure is a square.
Area of a square is the square of it's side length and perimeter is four times the length of one side.
Let 'x' be the length of a side of the original figure.
Area of the original figure, A = x²
Perimeter of original figure = 4x
New area = 16 A = 16 x² = (4x)²
So the side length of new figure = 4x
Perimeter of new figure = 4 (4x) = 16x
Hence one of the possible set of perimeters for the two figures given is 4x and 16x.
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Determine where the graph of the given function is concave upward and concave downward. Find the coordinates of all inflection points.
g(t) = t^2 - 27/t
The coordinates of the inflection points are (3, 0) and it concave upwards
How to determine the coordinates of the inflection points.From the question, we have the following parameters that can be used in our computation:
g(t) = t^2 - 27/t
Express properly
So, we have
g(t) = t² - 27/t
Calculate the second derivative
So, we have
g''(t) = 2 - 54/t³
Set the differentiated equation to 0
2 - 54/t³ = 0
So, we have
2t³ = 54
Divide by 2
t³ = 27
Take the cube roots
t = 3
Substitute t = 3 in g(t) = t² - 27/t
g(3) = 3² - 27/3
g(3) = 0
This means that the inflection point occurs at t = 3 and the coordinates of the inflection point are (3, 0)
How to determine the point of concave upward and concave downwardRecall that
g''(t) = 2 - 54/t³
Next, we check if the second derivative exist at t = 0,
g''(0) = 2 - 54/0³
g(0) = undefined
The undefined value implies that the graph has a vertical inflection point at t = 0
And as such, the graph of the function is concave upward
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In 2000 a company increased its workforce by 60%. In 2001 it decreased its workforce by 60%. How does the size of its workforce at the end of 2001 compare with the size of the workforce at the beginning of 2000?
A) It is 36% lower.
B) It is 6% lower.
C) It is unchanged.
D) It is 36% higher.
I know that the answer is A, but I'm having trouble figuring out the steps. Can anyone help me?
Therefore, the solution of given problem of percentage indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.
A percentage is defined.A% is a number that expresses a quantity as a percentage of 100; it can also be expressed as a decimal or a fraction. Placing 100 in the denominator and the percentage value in the numerator will allow you to convert a percentage to a fraction.
Here,
Before any changes,
let w represent the size of the workforce. There are:
50 percent growth is equivalent to increasing by 1.5, therefore w(2000) = w(1999) * 1.5
A 50% drop is equal to dividing by 1.5, therefore w(2001) = w(2000)/1.5
Reverse the first equation to create the second equation.
w(2001) = w(1999) * 1.5/1.5
Remove the 1.5 from the top and bottom so that w(2001) = w (1999)
Therefore, this indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.
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12 feet below the surface of the water. What is the pool's depth in feet?
Answer:
Step-by-step explanation:
-12
I need help on this question it’s due tomorrow.
The transformation in the graph is 1 units vertically downwards.
The correct option is A: The graph of g(x) is the graph of f(x) shifted down 1 unit.
What is transformation on the graphs?Let the function f(x) and g(x) are two real functions.
And g (x) = f (x) + k, where k is real numbers.
Function can be sketched by shifting f (x), k units vertically.
The direction of shift can be found by the value of k:
if k > 0, the base graph shifts k units up, and
if k < 0, the base graph shifts k units down.
Given:
The function f(x) = eˣ,
and the function g(x):
g(x) = f(x)-1= eˣ-1.
The graph of both the functions are given in the attached images.
For the base function f (x) and a constant k, the function given by
The transformations in the graph is defined by:
g (x) = f (x) + k, where k is real numbers.
Function can be sketched by shifting f (x), k units vertically.
The value of k determines the direction of the shift. Specifically,
if k > 0, the base graph shifts k units upward, and
if k < 0, the base graph shifts k units downward.
Here, k = -1
And the graph of g(x) is the graph of f(x) is shifted down 1 unit.
Therefore, the f(x) is shifted to 1 unit downward.
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find the first term in geometric sequence if the 11th term is -160 and the ratio is -1/3
Answer:
-9447840
Step-by-step explanation:
You want the first term of a geometric sequence whose 11th term is -160 and whose common ratio is -1/3.
N-th termThe n-th term of a geometric sequence is ...
an = a1·r^(n-1)
where a1 is the first term and r is the common ratio.
Using the given values, we have ...
-160 = a1·(-1/3)^(11 -1)
a1 = (-160)·(-3)^10 = -9447840
The first term is -9447840.
LINE GRAPH EASY PLEASE HELP!!
O
(-∞0,00)
(-2,00)
A
{rr > -1}
{x|x < -2}
The domain of the function whose graph shown in diagram is x ≤ 1.
What is the domain of a function?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.
Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.
The domain of the function whose graph shown in diagram is x ≤ 1 as the value of x is less than 1.
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An art museum opens at 9 am and closed at 5 pm the function V gives the number of visitors in a museum h hours after it opens explain what this statement tells us about the situation: V(5)=36
Answer:
Five hours after the museum opens, there are 36 visitors.
Step-by-step explanation:
V(5)=36 means that when h is 5, V is 36. Assuming this is a function from what information this gives.
PLEASE HELP ME RIGHT NOW DUE TOADY ASAP
Answer:
A 0.9102
Step-by-step explanation:
A correlation coefficient tells us the strength of the linear relationship between two variables. It is measured on a scale from +1 to -1.
The gradient is positive as it is going up the slope, so the correlation coefficient is positive. We can rule out B.
A correlation coefficient of 0 suggests there is no correlation, however, the scatter graph shows a positive correlation, so we can rule out C.
A correlation coefficient of 1 implies that there is a perfect positive correlation, so all the scatter points lie in a straight line. In the scatter graph given, the points do not all lie on a straight line, so we can rule out D.
Hence, the correlation coefficient is A, 0.9102
8. Determine whether each relation is a function. a. 2 3 -2 -1 -2 X 4 5 3 4 5 3 7 0 y b. 1 2 1 2 X 7 2 y 3 4 y 5 6 5 fur
on solving the equation, we have therefore the value of x from the given equation comes out to be 13.5
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
equation given is 3(x+2)=7x-48
value of x
[tex]3(x+2)=7x-48\\ 3x+6=7x-48\\7x-48-3x-6=0\\ 4x-54=0\\ 4x=54\\ x=54/4\\ x=13.5\\[/tex]
value of x from the given equation comes out to be 13.5
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Find y'' for x² + y⁴ = 20
now, this is implicit differentiation, so it comes with the assumption that "y" is a function in "x terms", as opposed to a plain vanilla variable, whilst "x" is just that, so
[tex]\cfrac{d}{dx}[x^2+y^4=20]\implies 2x+\stackrel{chain~rule}{4y^3\cdot \cfrac{dy}{dx}}=0\hspace{5em}\cfrac{d}{dx}\left[ 2x+4y^3\cdot \cfrac{dy}{dx}=0 \right] \\\\\\ 2+\stackrel{product~rule}{\left( 12y^2\cdot \cfrac{dy}{dx}+4y^3\cdot \cfrac{d^2y}{dx^2} \right)}=0\implies 2+12y^2\cdot \cfrac{dy}{dx}+4y^3\cdot \cfrac{d^2y}{dx^2}=0 \\\\\\ 2+12y^2\cdot \cfrac{dy}{dx}=-4y^3\cdot \cfrac{d^2y}{dx^2}\implies {\Large \begin{array}{llll} \cfrac{2+12y^2\cdot \frac{dy}{dx}}{-4y^3}=\cfrac{d^2y}{dx^2} \end{array}}[/tex]
Rachel has 13 books and some empty boxes. She can put 4 books in each box. How many boxes can she fill completely?
How many books will be left over?
Answer:
she can fill 3 boxes completely and one book will be left over
Step-by-step explanation:
if a box can be filled with 4 book then we do 4 multiply 3 and then 12 books will can fill 3 box and there is 13 books so 1 book will be left over
FOR BRAINIEST PLEASE ANSWER ASAP
Find the measure of the missing angles.
Answer:
c = 62 degrees
b = 118 degrees
Step-by-step explanation:
vertical angles are congruent. the 62-degree angle is vertical to angle c
linear pair angles are supplementary. the 62-degree angle is supplementary to angle b. 180 = 62 + b. 118 = b
It is industry norms and key business ratios Dunn and Bradstreet reported that Q1 Q2 and Q3 were 2037 gasoline service stations sales to inventory ratios or 24 833.4 and 53.8 respectively from this we can conclude that what percentage of these service stations have sales to inventory ratio
From the inventory ratios of 24 8, 33.4 and 53.8 of Dunn and Bradstreet report. It can be concluded that
50% of these service station had sales to inventory ratios of 53.8 or moreHow to find the correct statement about the reportsThe problem is seeking expression of ratios in percentage
Ratios represents part or share of a whole while percentage refers to a fraction of hundred
Calculation of the whole among the ratios 24 8 : 33.4 : 53.8 is done by adding up
= 24 8 + 33.4 + 53.8
= 108
Expressing as ratio 53.8 a percentage, we have
= 53.8/108 * 100
= 0.4981 * 100
= 49.81%
approximately 50%
We can therefore say that inventory of 53.8 or more is 50%
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Solve each equation for both variables help please 15 points
Answer:
I hope this helps. Do let me know if you have any doubts and wish me luck I have my maths exams tomorrow!
What is the solution for the system of linear equations shown in the graph?
Graph and answers in picture below
Answer:
(d) (-1/4, 3/4)
Step-by-step explanation:
You want the solution to the graphed system of equations.
SolutionThe solution is the point that satisfies both equations, the point where the lines intersect. That point is in the 2nd quadrant, where x-values are negative.
The only suitable answer choice is ...
(x, y) = (-1/4, 3/4)
A rectangle with an area of 5050 units^2
2
is the image of a rectangle that was dilated by a scale factor of \frac{1}{3}
3
1
. Find the area of the preimage, the original rectangle, before its dilation. Round your answer to the nearest tenth, if necessary.
Dilation is a type of transformation that enlarges or shrinks shapes (called archetypes) to create new shapes (called images). Archetype area is 5050 [tex]unit^2[/tex] * 3 = 15,150 [tex]unit^2[/tex]
How can I inflate my model?Add the square of the scaling factor s to the area of the figure before stretching Ap. In other words, the equation Ad = s2Ap gives the area of the figure after dilation Ad. a d = s2a p .
To find the archetype area, we need to undo the applied stretch. Since the stretch factor was 1/3, we can undo it by multiplying the image area by the inverse of the scale factor (1/1/3 = 3). So the area of the archetype is 5050 [tex]unit^2[/tex] * 3 = 15,150.[tex]unit^2[/tex]
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You give tours on the Great Lakes and talk about points of interest. A lighthouse typically has 2 beacons that rotate together but not necessarily facing opposite directions. In that way, it can be a shorter time between the first and second flashes than between the second flash and the third flash
(when the first beacon comes around for the second time). One way of identifying which lighthouse you are looking at is to find the ratio of the short time between flashes to the long time between flashes. If the beacons are set 120 degrees apart along the rotation, ash shown below, what is this ratio?
The required ratio is 1:2.
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Given that, A lighthouse typically has 2 beacons that rotate together but not necessarily facing opposite directions, it can be a shorter time between the first and second flashes than between the second flash and the third flash, One way of identifying which lighthouse you are looking at is to find the ratio of the short time between flashes to the long time between flashes. The beacons are set 120 degrees apart along the rotation
If the second beacon is 120° after the first, then the first is 360° -120° = 240° after the second.
Therefore, the ratio of the times between beacons is =
120° : 240° = 1 : 2
Hence, the ratio is 1 : 2
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determine if each liners function is a direct variation. If it is state the constant of variation.
The liners function are not direct variation
What is a direct variation?The relationship between two variables in which one is a constant multiple of the other is referred to as direct variation.
For instance, two variables are said to be in proportion when one affects the other. b = ka is the equation
If b is directly proportional to a, then k is the constant of variation and the value of k = b/a for all value of b and a
In the problem, the variables are compared as follows
feet = k * sec
k = feet / sec
For the first values, k = 33 / 3 = 11
For the second values, k = 36 / 6 = 6
since 11 ≠ 6 the function is not a direct variation
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