Answer:
480mm<55cm<0.5m
Step-by-step explanation:
millimeters means 100
centimeters means 10
meters means 1
there are 10mm in every 1cm and 100cm in every 1m
Answer:
55cm>0.5m>480mm
Step-by-step explanation:
as we know
1000mm=1m
100cm=1m
So we see
55=55cm
0.50=50cm
480=48cm
Hope it helps you thanks
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Thank you
the specification for the clearance is 0.015 to 0.063 mm. what is the probability that the specification is met?
To determine the probability that the specification for the clearance is met, we need to assume that the clearance follows a normal distribution. We can then use the standard normal distribution to calculate the probability that a clearance falls within the given specification range.
Assuming a normal distribution, we can use the formula for the standard normal distribution to calculate the probability that a clearance falls within the range of 0.015 to 0.063 mm:
z = (x - μ) / σ
where z is the z-score, x is the value we want to find the probability for, μ is the mean of the distribution (which we assume to be the midpoint of the specification range, i.e., (0.015 + 0.063) / 2 = 0.039 mm), and σ is the standard deviation of the distribution (which we assume to be (0.063 - 0.015) / 6 = 0.008 mm).
Using these values, we can calculate the z-scores for the lower and upper limits of the specification range:
z1 = (0.015 - 0.039) / 0.008 = -3
z2 = (0.063 - 0.039) / 0.008 = +3
We can then look up the area under the standard normal distribution curve between these two z-scores using a standard normal distribution table or a statistical software program. This area represents the probability that a clearance falls within the specification range. The area is approximately 0.9973, or 99.73%.
Therefore, we can say that there is a 99.73% probability that the specification for the clearance is met.
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Given the circle below, find the value of x.251L (9x+26)*
Given the following:
Then:
\(a=\frac{b-c}{2}\)In this case, we are given:
a = (9x + 26)
b = 251
To find c, we rest a whole circle (360) and rest angle b:
\(c=360-251=109\)And now, we use the formula from above:
\(9x+26=\frac{251-109}{2}\)And solve for x:
\(\begin{gathered} 9x+26=\frac{142}{2} \\ . \\ 9x=71-26 \\ . \\ x=\frac{45}{9} \\ . \\ x=5 \end{gathered}\)The answer is the last option, x = 5
Suppose that katie finished the race 0.13 second before Amy. what was katie's time in the race
Answer:
katie's time would be _.47
Step-by-step explanation:
this answer varies because hypothetically katie could be 4.47 or 5.47
as long as you have the .47 because that would be 60-13=47 there are 60 seconds in a minute
The required expression for Katie's time in the race is x - 0.13.
Given that,
Katie finished the race 0.13 seconds before Amy, Katie's time in the race is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let Amy finish the race in x seconds,
According to the question,
Katie finished the race 0.13 seconds before Amy. So,
= x - 0.13 second
Thus, the required expression for Katie's time in the race is x - 0.13.
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please help meh i dont know the answer
please help asap!!!!
Answer:
The area is 60. Thats all I know TwT
Step-by-step explanation:
PLEASSSSSEEE HELPPP ASPPP PLEASEEE
Answer:
x=1
i hope this helps!
Step-by-step explanation:
x+2/-1 =3
x+2 (1) =3
x+2 = 3
x=1
For the expansion, the company decided to buy cash registers for the new
stores. Each cash register can be bought at a price of 450 AED.
1. For the expansion, the company will need to buy at least 50 cash
registers. How much will this cost? (level 1-2)
2. The cost per cash registers increases by a rate of 6% continuously
compounded. How much would one new cash register cost in 8 years’
time? (level 3-4)
3. The value per cash registers decreases at a rate of 7.5% each year. How
much will one old cash register be worth in 8 years’ time? (level 3-4)
4. The company will need to replace the cash registers in 8 years’ time.
They sell the old cash registers and use the proceeds to help pay for the
new ones. Will this money be enough to pay for the new cash registers?
Explain what their loss or gain is per cash register. (level 5-6)
5. Calculate after how many full years the cash registers will have a value
of approximately 95 AED. Is this a realistic scenario? Explain with the use
of calculations, reasoning and graphing. Use your mathematical
understanding relating to inverse functions, asymptotes, domain and
range.
1.The total cost would be:50 cash registers x 450 AED per cash register = 22,500 AED
2.the cost of one new cash register at the end of 8 years would be approximately 661.39 AED.
3. the value of one old cash register after 8 years would be approximately 222.19 AED.
4.It is not possible to determine whether the money from selling the old cash registers is enough to pay for the new ones without knowing the selling price of the old cash registers.
5.It would take approximately 19 years for the value of the cash registers to reach 95 AED.
1. The company needs to buy at least 50 cash registers, each costing 450 AED. Therefore, the total cost would be:
50 cash registers x 450 AED per cash register = 22,500 AED
2. The continuous compounding formula is A = \(Pe^(^r^t^)\), where A is the resulting amount, P is the initial amount, e is Euler's number, r is the annual interest rate, and t is the time in years. We can apply this formula here by setting P = 450 AED, r = 6%, t = 8 years and solving for A:
A = 450*e^(0.06*8) = 661.39 AED (rounded to two decimal places)
3. The value of each old cash register decreases at a rate of 7.5% per year. We can use the formula for exponential decay, P = , where P is the resulting amount, P is the initial amount, e is Euler's number, r is the rate of change, and t is the time in years. Setting P to 450 AED, r to -7.5%, and t to 8 years, we can solve for the resulting value:
P = 450*e^(-0.075*8) = 222.19 AED (rounded to two decimal places)
4. If the selling price is greater than the value of the old cash registers after 8 years (i.e., 222.19 AED), then the company would make a profit on each old cash register sold to help pay for the new ones; if the selling price is less than 222.19 AED, then the company would incur a loss on each old cash register sold.
5. To find when the value of the cash register will be approximately 95 AED, we can use the formula from part (3).
95 = 450*e^(-0.075t)
Dividing both sides by 450 and taking the natural logarithm of both sides, we get:
ln(95/450) = -0.075t
Solving for t, we get:
t = -(1/0.075) * ln(95/450) ≈ 19.01 years
With a lifespan of only 8 years, it is not a realistic scenario for the cash registers to depreciate to such a low value. Therefore, it is important for the company to properly maintain and replace the cash registers on a regular cycle to ensure that their value remains close to the original purchase price.
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find the sum
(2x+6)+(4x-12)
HELp
Answer:
6x - 6
Step-by-step explanation:
(2x + 6) + (4x - 12) ← remove parenthesis
= 2x + 6 + 4x - 12 ← collect like terms
= (2x + 4x) + (6 - 12)
= 6x + (- 6)
= 6x - 6
Given a set of data and a corresponding regression line, describe all values of x that provide meaningful predictions for y. O A. Prediction values are meaningful for all X-values that are realistic in the context of the original data set. O B. Prediction values are meaningful only for x-values that are not included in the original data set. O c. Prediction values are meaningful only for X-values in (or close to the range of the original data.
The values of x that provide meaningful predictions for the output value y are given as follows:
c. Prediction values are meaningful only for X-values in (or close to the range of the original data.
What are regression equations?Regression equations are built from a sample of a data-set, and are used to model the entire data.
Depending on the behavior of the data, the regression equation can be linear, quadratic, logistic, exponential, and so on...
These regression equations are not valid for all values of the input x, some conditions are given as follows:
Values of x that are realistic in the data-set -> time cannot be negative, for example.Values of x that are close to the range of the data-set. -> a linear function from the previous 5 years can preview the measure in 5 years but it is unlikely to be accurate in 100 years.More can be learned about regression equations at https://brainly.com/question/26755306
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sin^2(x)=1/2-1/2cos2x
The equation sin^2(x) = 1/2 - 1/2cos(2x) is an identity that holds true for all values of x. It can be used to simplify expressions involving sine and cosine functions.
The equation sin^2(x) = 1/2 - 1/2cos(2x) is a trigonometric identity, which means it holds true for all values of x. To understand why this identity is true, we can use the double angle formula for cosine, which states that cos(2x) = cos^2(x) - sin^2(x). Rearranging this formula gives sin^2(x) = cos^2(x) - cos(2x).
Now, we can substitute the identity cos^2(x) + sin^2(x) = 1 into the above equation, which gives sin^2(x) = 1 - cos^2(x) - cos(2x). Rearranging further gives sin^2(x) = 1/2 - 1/2cos(2x), which is the desired identity.
This identity can be useful in simplifying expressions involving sine and cosine functions. For example, if we have an expression with both sin(x) and cos(x), we can use this identity to express everything in terms of sin(x) or cos(x) only.
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draw a contour map of the function showing several level curves. f(x, y) = y/(x2 + y2) − 4
The contour map of the given function illustrates the function varies across the xy-plane, with regions of higher and lower values of f(x, y) indicated by the spacing and arrangement of the level curves.
To draw a contour map of the function f(x, y) = y/(x^2 + y^2) - 4, we need to plot several level curves.
Level curves are curves in the xy-plane that represent points where the function f(x, y) takes a constant value.
To find the level curves, we set f(x, y) equal to different constant values and solve for y in terms of x.
Let's choose some constant values for f(x, y) and find the corresponding level curves:
When f(x, y) = 0:
Setting y/(\(x^2 + y^2\)) - 4 = 0, we have y = 4(\(x^2 + y^2\)).
This equation represents a circle centered at the origin with radius 4.
When f(x, y) = -2:
Setting y/(\(x^2 + y^2\)) - 4 = -2, we have y = 2(\(x^2 + y^2\)). This equation represents a circle centered at the origin with radius 2.
When f(x, y) = 2:
Setting y/(\(x^2 + y^2\)) - 4 = 2, we have y = 6(\(x^2 + y^2\)). This equation represents a circle centered at the origin with radius 6.
By plotting these level curves on the xy-plane, we can create a contour map that shows the behavior of the function f(x, y).
The circles centered at the origin with radii 2, 4, and 6 represent the level curves corresponding to f(x, y) = -2, 0, and 2, respectively.
The contour map will illustrate how the function varies across the xy-plane, with regions of higher and lower values of f(x, y) indicated by the spacing and arrangement of the level curves.
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R
x
PR 96 cm
PQ48 cm
What is the value of x ? Enter the answer in the box.
degrees
The value of x is 30 degrees.
Describe Right Angled Triangle?A right-angled triangle is a type of triangle that has one angle that measures exactly 90 degrees (a right angle). This angle is formed by the intersection of the two sides of the triangle that are perpendicular to each other, which are called the legs or the adjacent and opposite sides. The side opposite the right angle is called the hypotenuse, and it is always the longest side in the triangle. The other two sides are usually labeled as a and b, and are called the legs or the adjacent and opposite sides depending on which angle is being considered. The Pythagorean theorem, which states that the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse, is one of the fundamental properties of right-angled triangles. Right-angled triangles have numerous practical applications in geometry, trigonometry, physics, and engineering.
We can use the trigonometric ratio of sine to find the angle x.
sin(x) = opposite/hypotenuse = PQ/PR = 48/96 = 1/2
Taking the inverse sine of both sides, we get:
x = sin^(-1)(1/2)
Using a calculator, we get:
x ≈ 30 degrees
Therefore, the value of x is 30 degrees.
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find the square of the following 92 10 6 20 I need the answer
Answer:
Step-by-step explanation:
92 squared= 92*92=8464
10 squared= 10*10=100
6 squared= 6*6=36
20 squared= 20*20=400
Which inequality contains (0,0) its shaded region
Answer:
The origin
Step-by-step explanation:
The inequality is origin .(0,0)
If g'(x) = sqrt(x^3+x) for x>0 and g(2) = -7, what would g(5) be?
The value of the function g(5) is approximately -6.72.
What is fundamental theorem of calculus?The basic relationship between differentiation and integration is established by the calculus fundamental theorem. It is divided into two parts. The first portion asserts that if f(x) is a continuous function on the interval [a, b] and F(x) is its antiderivative, then f(xdefinite )'s integral from a to b is equal to F(b) - F(x) (a). In other words, one can determine the definite integral of a function by analysing its antiderivative at both the upper and lower integration bounds.
We can find the value of g(x) at any point x by evaluating the definite integral of g'(x).
The antiderivative is:
u = x³ + x
du/dx = 3x² + 1
dx = du / (3x² + 1)
The integral thus is:
∫√(x³+x) dx = ∫√(u) (du / (3x² + 1))
= (2/3) ∫√(u) d(√(u))
= (2/3) (√u³ / (3/2))
= (4/9) √(x³ + x)³ + C
Given that, g(2) = -7 thus:
g(2) = (4/9) √(2³ + 2)³ + C = -7
C = - (4/9) √(2³ + 2)³ - 7
Now, for g(5) we have:
g(5) = (4/9) √(5³ + 5)³ + C
= (4/9) √(1306)³ - (4/9) √(18)³ - 7
≈ -6.72
Hence, the value of the function g(5) is approximately -6.72.
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tell whether descriptive or inferential statistics has been used. the chances of your being in an automobile accident this year are 2 out of 100.
The statement "the chances of your being in an automobile accident this year are 2 out of 100" is an example of descriptive statistics.
Descriptive statistics involves summarizing and describing data, such as presenting facts or characteristics of a particular population or sample. In this case, the statement provides information about the probability or likelihood of being in an automobile accident, specifically stating that the chances are 2 out of 100.
It describes a statistic related to the probability of an event happening, rather than making inferences or drawing conclusions based on data. Therefore, it falls under the category of descriptive statistics.
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Given the following scenario: What would be the dependent variable?
A cell phone company charges $20 a month for the base plan. They charge 10 cents for
every text, minute, or kilobyte of data use. Write and equation to express your cell
phone bill.
O texts
O Total Amount of Money Each Month
O $20
O 0.10
Answer: Choice B
Explanation:
The dependent variable is the total cost which depends on how many texts you send, or how much data you use.
Mae Ling earns a weekly salary of $310 plus a 6.5% commission on sales at a gift shop. How much would
she make in a work week if she sold $4,500 worth of merchandise?
She would make $ ?
Answer:
$325
Step-by-step explanation:
Mae Ling earns a weekly salary of $325 plus a 6.5% commission on sales at a gift shop. How much would she make in a work week if she sold $4,800 worth of merchandise?
HIGHSCHOOL GEOMETRY HELP NEEDED ASAP EZ POINTS!
Answer:
x -2x and the y is -2y
Step-by-step explanation:
Soledad buys 5 ounces of frozen yogurt for $2.25. What is the unit price of the frozen yogurt in dollars per ounce?
Answer:
0.45
Step-by-step explanation:
You divided 2.25 by 5
Is y=-1/3x+2. 2=y+1/3x
Answer:
yes i think so
Step-by-step explanation:
A city just opened a new playground for children in the community. An image of the land that the playground is on is shown.
A polygon with a horizontal top side labeled 50 yards. The left vertical side is 35 yards. There is a dashed vertical line segment drawn from the right vertex of the top to the bottom right vertex. There is a dashed horizontal line from the bottom left vertex to the dashed vertical, leaving the length from that intersection to the bottom right vertex as 18 yards. There is another dashed horizontal line that comes from the vertex on the right that intersects the vertical dashed line, and it is labeled 20 yards.
WILL GIVE BRAINLEST IF RIGHT : What is the area of the playground?
1,750 square yards
1,855 square yards
2,730 square yards
3,710 square yards
Total area equals 900 + 315 + 150 = 1,365 square yards. Triangles 1 and 2 add up to 315 square yards.
How is area of playground calculated?Divide the land into two triangles and a rectangle, and then add the areas of each to determine the playground's size.
The rectangle's area is: since it is 50 yards long and 18 yards wide.
Area of a rectangle equals length times breadth times 50 divided by 18 equals 900 square yards.
With a base of 18 yards and a height of 35 yards, one of the triangles has the following area:
Triangle 1's area is equal to (18 35) / 2 (base x height), which equals 315 square yards.
The other triangle's area is: Since the top side of the second triangle is labeled as 50 yards, and its base is 20 yards, and its height is 50 - 35 = 15 yards.
Area of triangle 2 is (20 15) / 2 (base x height), which equals 150 square yards.
As a result, the playground's total area is:
Total area equals 900 + 315 + 150 = 1,365 square yards. Triangles 1 and 2 add up to 315 square yards.
The choice that comes the closest to the predicted playground space is 1,750 square yards. This choice, however, is not the right response. There are 1,365 square yards in the right answer.
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An F-curve has df (9,3). a. What is the number of degrees of freedom for the numerator? b. What is the number of degrees of freedom for the denominator?
An F-curve has df (9,3), so the number of degrees of freedom for the numerator is 9 and the number of degrees of freedom for the denominator is 3.
The degrees of freedom in a statistical calculation describe how many values in a computation can change. The degrees of freedom of chi-square tests, t-tests, and even more complex f-tests may be computed to assist confirm their statistical validity. These tests are frequently used to compare observed data with data that would be expected to be produced if a given hypothesis were followed.
We have F-curve with df = (9, 3)
So The degrees of freedom for the numerator is the first number mentioned in df:
df (numerator) = dfn = 9
The degrees of freedom for the denominator is the second number mentioned in df:
df (denominator) = dfd = 3.
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Help me please lots of points for right answer
Answer:
V=75π
Step-by-step explanation:
V= πr^2h
V=π(5)^2(3)
V=75π
i met at the movies at 6:45 we were picked up at 8:15
Answer:
1 hour and 30 minutes
\(t = ch + td = fh\)
where ch is current hour, td is time distance, and fh is final hour.
to find td, we must subtract the number of minutes in ch and fh and then base how many hours passed off of the minutes.
\(cm(45) - fm(15) = 30\)
If half an hour passed, we can guess that only another hour passed, therefore we can make a final equation using eh for "estimated hour".
\(t = (cm - fm) + eh = 1:30\)
i need help
this is due today at 4
Answer:
Hi The Answer is A.
Step-by-step explanation:
The Answer is A Because of the funter travel of the X.
x*y=z
Hope This Helps.
:)
My name is John henry.
PLEASE HELP I DONT UNDERSTAND IVE BEEN TRYING FOR 15 MINS AND STILL DONT GET IT
Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. The diagram is not drawn to scale. (picture of diagram included)
The values of the length of the missing sides of triangle is x = 7√2 and y = 7.
What are special triangles?Special right triangles are right triangles with three determined interior angles and fixed side ratios. If one side is known in these right-angled triangles, we can find the value of the two missing sides. The 45°- 45°-90° triangle and the 30°- 60°-90° triangle are other names for the two unique right triangles. Before going further, let's review the fundamental characteristics of a right triangle.
One of the angles of a right triangle is 90 degrees, and the total of the other two angles is also 90 degrees. The triangle's hypotenuse, which is the longest side, is the side that faces the right angle.
From the given figure we observe that the two angles are 45 degree and 90 degree.
Using the angle sum property we have:
45 + 90 + third angle = 180
third angle = 45 degrees.
The triangle is thus a 45-45-90 triangle.
The sides of 45-45-90 triangle correspond to the lengths as x : x : x√2.
Here, the angle corresponding to 45 is 7.
Thus, y = 7 and x = 7√2.
Hence, the values of the length of the missing sides of triangle is x = 7√2 and y = 7.
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Find ln 5.1 to the nearest thousandth
Answer:
5.1.
Step-by-step explanation:
5.1 = 5.1000. You would then round down to find the nearest thousandth, which is 5.1.
Hope this helps!
Answer:
Step-by-step explanation:
5.1
solving system of equation using the elimination method and enter the value of y 4x - 5y equals -2 - 9 - 4x + Y equals -2
4x - 5y = -9
-4x + y = -7
Step 1
Eliminate variable x
Different sign eliminate x and add.
-5y + y = -9 + (-7)
- 4y = -9 - 7
- 4y = -16
y = -16/-4
y = 4
Step 2
Substitute y in any equation and find x.
-4x + y = -7
-4x + 4 = -7
-4x = -7 - 4
-4x = -11
x = -11/-4
x = 11/4
X = 11/4 Y = 4
a lambert quadrilateral can be "doubled" to form a saccheri quadrilateral; a saccheri quadrilateral can be "halved" to form a lambert quadrilateral.
T/F
True. A lambert quadrilateral can be "doubled" to form a saccheri quadrilateral; a saccheri quadrilateral can be "halved" to form a lambert quadrilateral. So, the statement is true.
A Lambert quadrilateral is a type of quadrilateral that has three right angles and one acute angle.
To double a Lambert quadrilateral means to construct a new quadrilateral with twice the area but with the same shape.
This can be done by drawing a line through the acute angle of the original quadrilateral and constructing a new square on each side of the line.
The resulting shape is a Saccheri quadrilateral, which has two right angles and two acute angles.
To halve a Saccheri quadrilateral means to construct a new quadrilateral with half the area but with the same shape.
This can be done by drawing a line through one of the acute angles of the original quadrilateral and constructing a new square on one side of the line. The resulting shape is a Lambert quadrilateral.
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