Using proportions, it is found that the cost of the 5 t-shirts would be of 564.83 Kronas.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for currency conversion problems, as multiplication or division operations are applied according to the rates of each coin.
For this problem, we have that 7 t-shirts cost $90.93, hence the cost of a t-shirt in U.S. dollars is given applying the proportion to find the unit rate as follows:
$90.93/7 = $12.99.
The cost of 5 t-shirts will be given by:
5 x 12.99 = $64.95.
Applying the proportion 1 U.S. Dollar = 8.6964 Krona, the cost in Kronas is:
64.95 x 8.6964 = 564.83 Kronas.
The cost of the 5 t-shirts would be of 564.83 Kronas.
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I need some help please
Answer:
x+2
hope this helps ;)
and cute pfp
Answer:
Step-by-step explanation:
x-1, because 3 fits the criteria, x>=1
the sum of three fractions is 6.if 18/7 and5/6 are two of the fractionsfind the third fraction
A fraction is a fragment of a whole number, used to define parts of a whole. The whole can be a whole object, or many different objects. The number at the top of the line is called the numerator, whereas the bottom is called the denominator.
First, we need to solve for a common denominator.
What is a common denominator?A common denominator consists of two or more fractions that have the same denominator. This makes it easier to perform numeric equations, and to solve them.
To get the common denominator between \(\frac{18}{7}\) and \(\frac{5}{6}\), we multiply their denominators.
7 × 6 = 42Now, we know the fractions would look like this:
\(\frac{?}{42} \frac{?}{42}\)To solve for the numerators, we can use these equations:
18 × 6 = 1085 × 7 = 35Now, the fractions look like this:
\(\frac{108}{42}\) and \(\frac{35}{42}\)Adding them together:
\(\frac{108}{42} +\frac{35}{42} = \frac{143}{42}\)Now, we can convert this into a mixed number.
\(\frac{143}{42} = 3\frac{17}{42}\)Now that we have this, we can subtract that from 6 to get the missing value.
\(6 - 3\frac{17}{42}\)\(=2\frac{25}{42}\)Therefore, the third fraction is \(2\frac{25}{42}\).
lt 9 according to a recent survey, 47 percent of the people living in a certain region carry a certain genetic trait. people from the region will be selected at random one at a time until someone is found who carries the genetic trait. on average, how many people from the region will need to be selected to find one person who carries the genetic trait?
54 people from the region will need to be selected to find one person who carries the genetic trait
47 percent of the people living in a certain region carry a certain genetic trait.
since 47% carry genetic trait
therefore 53% didn't carry genetic trait
because every time we get person not carry genetic trait but after 54 person surety carry genetic trait
people from the region will be selected at random one at a time until someone is found who carries the genetic trait.
0.47 would be your probability of randomly selecting but your'e solving geometrically so think how many trials until successful.
use u x(mean)= 1/.47 to get around 2.13
54 people from the region will need to be selected to find one person who carries the genetic trait
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What is the volume of this sphere? Use 3.14 and round your answer to the nearest hundredth. 1777561 cubic inches ST
we have that
the radius is
r=12.1 in
the volume of a sphere is
\(V=\frac{4}{3}\cdot\pi\cdot r^3\)substitute the given values
\(\begin{gathered} V=\frac{4}{3}\cdot3.14\cdot12.1^3 \\ \\ V=7,416.94\text{ in3} \end{gathered}\)Part 2
In this problem we have the diameter of the sphere
D=13.6 mm
so
r=D/2=13.6/2=6.8 in
substitute in the formula
\(\begin{gathered} V=\frac{4}{3}\cdot3.14\cdot6.8^3 \\ V=1,316.42\text{ in3} \end{gathered}\)Question 1: Given page reference string:
1,2,3,4,2,1,5,6,2,1,2,3,7,6,3,2,1,2,3,6
a) Compare the number of page faults for:First In First Out (FIFO), Least Recently Used (LRU) and Optimal page replacement (OPT) algorithm having 4 frames in physical memory.
b) What will be the effect on page fault rate if the number of frames is reduced to 3
frames in each algorithm?
a) The number of page faults for the First In First Out (FIFO), Least Recently Used (LRU), and Optimal page replacement (OPT) algorithms with 4 frames in physical memory are compared for the given page reference string. , b) The effect on the page fault rate is discussed when the number of frames is reduced to 3 frames in each algorithm.
a) To compare the number of page faults for the FIFO, LRU, and OPT algorithms with 4 frames, we simulate each algorithm using the given page reference string. FIFO replaces the oldest page in memory, LRU replaces the least recently used page, and OPT replaces the page that will not be used for the longest time. By counting the number of page faults in each algorithm, we can determine which algorithm performs better in terms of minimizing page faults.
b) When the number of frames is reduced to 3 in each algorithm, the page fault rate is expected to increase. With fewer frames available, the algorithms have less space to keep the frequently accessed pages in memory, leading to more page faults. The reduction in frames restricts the algorithms' ability to retain the necessary pages, causing more page replacements and an overall higher page fault rate. The specific impact on each algorithm may vary, but in general, reducing the number of frames decreases the efficiency of the page replacement algorithms and results in a higher rate of page faults.
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There are multiple parts to this and the rest will be revealed upon answering the previous question correctly.Part A: what is the vertex?
The graph of the function is shown below:
a)
From the graph we notice that the vertex of the function is at the point:
\((7,-1)\)b)
From the graph we notice that the axis of the function is the line:
\(x=7\)C)
Since this is a polynomial its domain is all the real numbers, that is:
\(\text{dom}=(-\infty,\infty)\)d)
From the graph we notice that the range is:
\(\text{range}=\lbrack-1,\infty)\)e)
The graph is increasing in the interval:
\((-1,\infty)\)f)
The graph is decreasing in the interval:
\((-\infty,1)\)What is the answer of 6xy + (-9xy)
Answer:
-3xy
Step-by-step explanation:
Answer:
6xy + ( -9xy) = 6xy - 9xy = -3xy
consider the differential equation dy/dx=x/y where y cannot equal 0
The particular solution to the given differential equation is y^2 = x^2 + y0^2, where y0 is the initial value of y at x = 0.
The given differential equation is dy/dx = x/y, where y cannot equal 0. It is a separable differential equation that can be solved by rearranging terms and integrating both sides.
To solve the differential equation dy/dx = x/y, we can begin by rearranging the equation to separate the variables. Multiplying both sides by y and dx, we get y dy = x dx. Now, we can integrate both sides:
∫y dy = ∫x dx
Integrating, we obtain (1/2)y^2 = (1/2)x^2 + C, where C is the constant of integration. Simplifying this equation, we have y^2 = x^2 + C.
To find the particular solution, we need an initial condition. Let's assume that at x = 0, y = y0. Substituting these values into the equation, we get y0^2 = 0^2 + C, which gives C = y0^2.
Therefore, the particular solution to the given differential equation is y^2 = x^2 + y0^2, where y0 is the initial value of y at x = 0.
It's important to note that the solution is valid as long as y ≠ 0, as division by zero is undefined.
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Hey loves!!! This is my last question(for now).Please help.
Answer:
35 degrees.
Step-by-step explanation:
m < TSK = 180 - 22 - 123
= 180 - 145
= 35.
does anyone know how to do this:
Step-by-step explanation:
the reflection is on x-axis so the f(x) will be negative
The graph showsf(x)and its transformationg(x).
What is the function equation for g(x)?
The function equation for g(x) is given as follows:
g(x) = 2^(x - 3).
How to define the equation for g(x)?The equation for g(x) is defined as a translation of function f(x), as the graph has the same format and orientation, just has a different position.
The definitions of each type of translation are given as follows:
Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.The parent function f(x) is defined as follows:
f(x) = 2^x.
The graph of g(x) was moved three units right, meaning that:
g(x) = f(x - 3) = 2^(x - 3).
This means that the third option is the correct option for the equation of function g(x).
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PLEASE HELP!!!! An equation is written to represent the relationship between the temperature in Alaska during a snow storm, y, as it relates to the time in hours, x, since the storm started. A graph of the equation is created. Which quadrants of a coordinate grid should be used to display this data?
Find all possible values of x. The triangles are NOT drawn to scale.
Answer:
0 < x < 28
Step-by-step explanation:
The triangle inequality theorem states that the sum of any two sides of the triangle should be greater than the third side.
Therefore,
0 < x < 28All the possible values of x are 26 < x < 28.
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
So a triangle has three sides.
We have the triangle inequality theorem which states that,
The length of any side of the triangle is always less than the sum of the other two sides.
And the range of the possible measure of the third side is the sum and the difference of the other two sides.
So x < 27 + 1 = 28
and,
x > 27 - 1 = 26
So 26 < x < 28
Hence the measures of third side is 26 < x < 28.
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When testing the iq of a group of adults, a researcher noticed that the correlation between iq and age was negative. Is this a guarantee that all younger people have higher iqs than older people?
The negative correlation between IQ and age guarantees that all younger people have higher IQ's than older people.
The strength of the linear link between two separate variables, x and y, is shown by correlation coefficients. A positive association is shown by a linear correlation coefficient larger than zero. Indicating a negative association is a value less than zero. The two variables x and y do not have any relationship when their values are 0, to sum up.
A positive correlation indicates that both variables move in the same direction when the correlation value is higher than 0. When is 1, it denotes a complete positive association between the two variables under comparison; when one variable rises or falls, the other one rises or falls in the same direction and by the same amount.
When the correlation coefficient is less than 0, there is a negative (inverse) correlation. This suggests that both variables are moving in the obverse direction. In essence, any reading between 0 and -1 denotes an opposing movement of the two securities. The connection is said to as fully negatively correlated when is equal to -1.
Thus, the negative correlation between IQ and age guarantees that all younger people have higher IQ's than older people.
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A submarine was 350 feet below sea level. It descended by 125 feet below sea level. What is the best operation to use?
Answer: Addition.
Step-by-step explanation:
The word descended gives you a hint to use subtraction.
Solve for x.
Solve for x.
Solve for x.
Solve for x.
Answer:
\(x=90\)
Step-by-step explanation:
2x - 10 and x + 80 are parallel lines and equal each other.
\(2x-10=x+80\\x-10=80\\x=90\)
Answer:
90
Step-by-step explanation:
i had this question too
acute angle between the hours hand and the minute hand at 1pm
Answer: 30 degrees
Step-by-step explanation:
1 hour = 60 min = 360 degree
1 min = 360/60 degree
1 min = 6 degree
and the gap of hour hand and minute hand at 1pm, is of 5 min
therefore acute angle formed is 5 X 6 = 30 degrees.
:-)
Answer:
30 degrees
Step-by-step explanation:
1 hour = 60 min = 360 degree
1 min = 360/60 degree
1 min = 6 degree
and the gap of hour hand and minute hand at 1pm, is of 5 min
therefore acute angle formed is 5 X 6 = 30 degrees.
If 21 = 2a + b and a=b, find the value of b.
Answer:
21= 2(7) +(7)
Step-by-step explanation:
2(7)= 14+7=21
Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the curves x=0, y=1, x=y^{7} , about the line y=1 .
The volume of solid obtained by rotating the region in the first quadrant bounded by the curves x=0, y=1, x=y⁷, about the line y=1 is approximately 62.4 cubic units.
To find the volume of the solid, we can use the method of cylindrical shells. We consider an infinitesimally thin vertical strip in the region, with height dy and width x=y⁷. When this strip is rotated about the line y=1, it forms a cylindrical shell with radius (1-y) and height x.
The volume of each cylindrical shell can be calculated as V = 2π(1-y)x(dy), where 2π(1-y) represents the circumference of the shell and x(dy) is the height. Integrating this expression over the range of y from 0 to 1, we can obtain the total volume.
∫[0,1] 2π(1-y)x(dy)
To solve this integral, we need to express x in terms of y. Since x=y⁷, we substitute it into the integral:
∫[0,1] 2π(1-y)(y⁷)(dy)
Simplifying the expression further, we have:
∫[0,1] 2π(y⁷ - y⁸)(dy)
Evaluating the integral and calculating the result, we find that the volume is approximately 62.4 cubic units.
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yall i need help whats a unit rate i forgot oof
Are this triangles similar?
Answer: yes
Step-by-step explanation:
yes
A die is rolled. if it rolls to a 1 or 2, you win 2 usd. if it rolls to a 3, 4, 5, or 6, you will lose 1 usd. what is the expected payoff from rolling this die?
The expected payoff from rolling the die is 0 usd.
According to the given question.
A die is rolled.
So, the possiblbe outcomes for a dice = {1, 2, 3, 4, 5, 6}
⇒ Total number of outcomes = 6
Also, it is given that
If a die is roll to a 1 or 2, we win 2usd and if it rolls to 3, 4, 5, or 6 we lose 1 usd.
As, we know that "Probability denotes the possibility of the outcome of any random event". And probability of any event can be calculated as
P(E) = total number of favorable outcomes/ Total number of outcomes
So,
The probability that die rolls 1 or 2 = 1/6 + 1/6 = 2/6 = 1/3
And, the probability thet die rolls 3, 4, 5, or 6
= 1/6 + 1/6 + 1/6 + 1/6
= 4/6
= 2/3
Therefore, the excepted payoff from rolling this die
= \(2\times\frac{1}{3} - 1\times\frac{2}{3}\)
\(= \frac{2}{3} - \frac{2}{3}\)
= 0 usd
Hence, the expected payoff from rolling the die is 0 usd.
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Tony has 1.44 lb of cheese. He needs 0.08 lb of cheese for one sandwich. How many sandwiches can he make?
Total weight of cheese = 1.44 lb
Weight of cheese for one sandwich = 0.08 lb
Number of sandwiches you can make from 1.44 lb
= 1.44/0.08
= 18 sandwiches
Please help me with this is my last question
Answer:
a
Step-by-step explanation:
Answer:
A
........................
two independent, completely accidental scientific discoveries will be required to plan a space elevator. the first, negative gravity, we believe will take an average of 10 years to happen. the second, monofilament cables, we believe will take an average of 6 years to take place. a) what is the probability monofilament cables will be discovered within the next 10 years? b) what is the probability both discoveries will take place within the next 20 years?
The probability that monofilament cables will be discovered during the next ten years and that both discoveries will occur within the next twenty years are, respectively, 0.811 and 0.833.
X = time taken to discover Negative gravity
Y = time taken to discover Monofilament Cables
X follow exponential distribution with mean = 10
Y follow exponential distribution with mean = 6
a)P(Y < y) = 1- e^(-y/mean)
P(Y < 10)
= 1 - e^(-10/6)
= 0.8111
The probability monofilament cables will be discovered within the next 10 years is 0.8111
b)P(X <20 ,Y < 20)= P(X < 20)P(Y < 20)
= (1 - e^(-20/10)) (1 - e^(-20/6))
= 0.8338
The probability both discoveries will take place within the next 20 years
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(L5) Use indirect proof to prove that the hypotenuse is the longest side of a right triangle.Given: ΔABC is a right triangle; with acute angles A and C and right angle BProve: AC>BC
Our assumption that AC ≤ BC must be false. To prove that the hypotenuse is the longest side of a right triangle, we will use an indirect proof. We will assume the opposite of what we want to prove and show that it leads to a contradiction.
Assume that AC ≤ BC. This means that the side opposite the acute angle A is shorter than the side opposite the acute angle C.
Now, let's draw a line segment from vertex C perpendicular to AB. This line segment divides the triangle into two smaller triangles, let's call them ΔACD and ΔBCD.
Since the line segment is perpendicular to AB, angle ACD and angle BCD are both right angles. And since angle A is acute, angle ACB must be acute as well.
Now, using the Pythagorean theorem, we can write:
AC² = AD² + CD²
BC² = BD² + CD²
Since AD < BD (because AC ≤ BC), we can substitute BD - AD for BD in the second equation:
BC² = (BD - AD)² + CD²
BC² = BD² - 2AD·BD + AD² + CD²
But now we have a contradiction:
AC² = AD² + CD² < BC² = BD² - 2AD·BD + AD² + CD²
If we simplify the inequality, we get:
0 < BD² - AC² - 2AD·BD
But this cannot be true, because all the terms on the right-hand side are positive (BD > AD, AC < BC, and both sides are squares). Therefore, our assumption that AC ≤ BC must be false.
We have proven that the hypotenuse is the longest side of a right triangle.
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Salesforce validation rule question.
An object called Student has two picklists. One is percentage and options: 90, 80, 70, 60,50 and other one is grade with options: A, B, C, D, F.
write a validation rule using ispickval when percentage is selected as 90, the grade automatically selects A.
To create a validation rule in Salesforce that automatically selects grade A when the percentage is set to 90, you can use the ISPICKVAL function. This function allows you to check the selected value of a picklist field and perform actions based on the value. By using ISPICKVAL in the validation rule, you can ensure that the grade field is populated with A when the percentage field is set to 90.
To implement this validation rule, follow these steps:
Go to the Object Manager in Salesforce and open the Student object.
Navigate to the Validation Rules section and click on "New Rule" to create a new validation rule.
Provide a suitable Rule Name and optionally, a Description for the rule.
In the Error Condition Formula field, enter the following formula:
AND(ISPICKVAL(Percentage__c, "90"), NOT(ISPICKVAL(Grade__c, "A")))
This formula checks if the percentage field is selected as 90 and the grade field is not set to A.
In the Error Message field, specify an appropriate error message to be displayed when the validation rule fails. For example, "When percentage is 90, grade must be A."
Save the validation rule.
With this validation rule in place, whenever a user selects 90 in the percentage field, the grade field will automatically be populated with A. If the grade is not set to A when the percentage is 90, the validation rule will be triggered and display the specified error message.
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If you look at a square made up of alternating red and blue stripes for several minutes and then look immediately at a blank white sheet of paper, you will see a square with alternating green and yellow stripes. This effect results from pairs of ________ that work ________.
The effect of seeing a square with alternating green and yellow stripes after looking at a square made up of alternating red and blue stripes is due to pairs of ganglion cells that work in opposition.
Ganglion cells are neurons located near the inner surface of the retina, whose axons form the optic nerve. They receive visual signals from bipolar cells and then send them to the brain via the optic nerve.
In order to understand why we see a square with alternating green and yellow stripes after looking at a square made up of alternating red and blue stripes, it's important to know that there are three types of cones in the retina that respond to different wavelengths of light: blue, green, and red.
When we look at the square made up of alternating red and blue stripes for several minutes, the cells that are responsible for perceiving red and blue colors become fatigued, while the green cones continue to respond normally. This creates an imbalance between the signals being sent to the brain, which then interprets the remaining signals as a mixture of green and red. This is why we see a square with alternating green and yellow stripes.
Pairs of ganglion cells work in opposition in this phenomenon because each ganglion cell receives input from both types of cones that are sensitive to a particular color. In the case of the square made up of alternating red and blue stripes, one group of ganglion cells is receiving more input from the red-sensitive cones, while the other is receiving more input from the blue-sensitive cones. When we look at the blank white sheet of paper, these ganglion cells continue to work in opposition, leading to the perception of green and yellow stripes.
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Rewrite the following expression using the division symbol and as a fraction: The quotient of m and 11.
Answer:
\(\frac{m}{11}\)
Step-by-step explanation:
To write the given expression as a fraction, put m in the numerator and 11 in the denominator as shown: \(\frac{m}{11}\)
This would be the quotient of m and 11 expressed as a fraction!
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In which quadrants do the x-coordinates and the y-coordinates have the same sign?
In the First quadrants and the third quadrants have the same sign of the x-coordinates and the y-coordinates which is I (+; +), III (−; −).
According to the statement
we have to find that the in In which quadrants do the x-coordinates and the y-coordinates have the same sign.
For this purpose, firstly we know that the
Quadrants are The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes. These are often numbered from 1st to 4th and denoted by Roman numerals.
And according to the Cartesian system, we know that the
First quadrants have a sign :
I (+; +),
And second quadrants have a sign:
II (−; +),
And third quadrants have a sign:
III (−; −),
and Fourth quadrants have a sign:
IV (+; −).
So, In the First quadrants and the third quadrants have the same sign of the x-coordinates and the y-coordinates which is I (+; +), III (−; −).
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