Answer: 0.09
Step-by-step explanation:
Which of the following is an adjustment allowed by the IRS?
Answer:
tuition expenses
Step-by-step explanation:
Jim estimates the width of his wall to be 8 feet. The actual wall measures 8.25 feet wide. What is Jim’s percent error?
Jim's percent error is 3.03%.
What is the percentage error?The percentage error is given as the difference between the actual value and the estimated value divided by the actual value, multiplied by 100%.
The percentage error is a relative value that compares the actual value and the estimated value to explain any deviations.
Estimated width of wall = 8 feet
The actual width of the wall = 8.25 feet
The difference in estimate = 0.25 feet (8.25 - 8)
Percentage Error = 3.03% (0.25/8.25 x 100)
Thus, we can conclude that Jim made a percentage error of 3.03% in his estimate of the width of the wall.
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True or False Animal-like protists get nutrients by creating them inside themselves.
quota sampling produces the same advantages for convenience sampling that ____ sampling produces for probability sampling.
The quota sampling produces the same advantages for convenience sampling that stratified random sampling produces for probability sampling.
Sampling:
Sampling is defined as the process in statistical analysis where researchers take a predetermined number of observations from a larger population.
Given,
Here we need to find the type of sampling that produces the same advantages for convenience sampling quota sampling.
Before, move on to the result, first we have to know the details about quota sampling and the probability sampling.
Probability sampling defined as the selection of a sample from a determined number of population, when this selection is based on the principle of randomization, that is, random selection or chance.
In contrast to probability sampling, Quota sampling means a non-probability sampling method in which researchers create a sample involving individuals that represent a population.
Based on these definition we have identified that the method that is best suitable answer for this one is stratified random sampling.
Because the stratified random sampling means, is a probability sampling technique in which the total population is divided into homogenous groups to complete the sampling process.
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a box is to be constructed from a sheet of cardboard that is 10 cm by 50 cm by cutting out squares of length x by x from each corner and bending up the sides. what is the maximum volume this box could have? (round your answer to two decimal places.)
Maximum volume through the concept of maxima is 564.22 cm3.
What are maxima?
The maxima are discovered using the arithmetic of variations if the domain of the function for which the maxima is sought consists solely of functions (i.e., if the maxima sought of a functional).There are no any minimum or maximum values in unlimited infinite collections, for example the collection of real numbers.Volume of box=(50-2x)(10-2x).x
=4x^3-120x^2+500x
for maximum volume,
dv/dx=0
⇒12x^2-240x+500=0
⇒3x^2-60+14=0
x=17.63,2.36
d2v/dx2=24x-240
at x=2.36
d2v/dx2<0
∴x=2.36
v will be maximum
Maximum volume through the concept of maxima is 564.22 cm3.
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Mr. Arnold drives 130 miles round trip to work 5 days a week. Write and solve an equation to find how many miles he drives in 60 work days.
Answer:
1,560 miles
Step-by-step explanation:
[tex]\frac{130}{5} = \frac{x}{60}[/tex]
Solve for x. Multiply both sides by 60 to get 1,560.
View the image to answer.
The function f,g and h are defined by f(x)=xSin(1/x²), g(x)=x²Sin(1/x) and h(x)=Sinx/x. The 1st and 2nd inequality are satisfying the function, Option A is correct.
Given that,
The function f,g and h are defined by
f(x)=xSin(1/x²)
g(x)=x²Sin(1/x) and
h(x)=Sinx/x
We have to find which inequality can be used with squeeze theorem to find the limit of the function.
The inequality are
1. -|x|<f(x)<|x|
2. -x²<g(x)<x²
3. -x<h(x)<x
The squeeze (or sandwich) theory states that if f(x)g(x)h(x) for all numbers and at some point x=k we have f(k)=h(k), then g(k) must also be equal to them. Theorem: We can use them to achieve challenging limits, such as sin(x)/x at x=0, by "squeezing" sin(x)/x between two better functions and using them to find the limit at x=0.
First we see the 1st inequality.
The range of sin function is from -1 to 1
-1<Sin(1/x²)<1
-x<xSin(1/x²)<x
-|x|<xSin(1/x²)<|x|
-|x|<f(x)<|x|
The 1st inequality satisfy the function.
Now, we see the 2nd inequality.
The range of sin function is from -1 to 1
-1<Sin(1/x)<1
-x²<x²Sin(1/x²)<x²
-x²<g(x)<x²
The 2st inequality satisfy the function.
Now, we see the 3nd inequality.
The range of sin function is from -1 to 1
-1<Sinx<1
-1/x<Sinx/x<1/x
-1/x<h(x)<1/x
The 3st inequality does not satisfy the function.
Therefore, the 1st and 2nd inequality are satisfying the function, Option A is correct.
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What is the answer to 6/3x=30?
Answer:
6/3x=30 = x= 15
Step-by-step explanation:
2x=30
(divide) ^
simplify, x=15
A statistics teacher notices a strong, negative, linear association between the number of missing assignments his students had and their report card grades. He computed a correlation coefficient of r=−0.9. Which of the following gives the correct value of the coefficient of determination, r2?
The coefficient of determination given the correlation coefficient is 0.81.
What is the coefficient of determination?Correlation is used to measure the linear relationship between two variables. When the correlation coeffienient is negative, it means that the variables have a negative correlation. This means that the two variables move in opposite directions.
The coefficient of determination is used to measure the variation between the two variables being measured.
The coefficient of determination = correlation coeffienct²
-0.9² = 0.81
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NEED ASAP PLEASEE
Explain why the number 8,000 is a perfect cube.
The number 8,000 is a perfect cube because it is the square of the number 20.
The number 8,000 is a perfect cube because its cube root is an integer.
The number 8,000 is a perfect cube because it is the square root of 64,000,000.
The number 8,000 is a perfect cube because its square root is an integer.
The most appropriate choice for cube and cube root of a number will be given by-
8000 is a perfect cube number because cube root of 8000 is an integer.
Second option is correct.
What is cube and cube root of a number?
Let the number be p. If we multiply p three times with itself ([tex]p \times p \times p[/tex]), then we get the cube of p.
If we take [tex]\frac{1}{3}[/tex] power of p ([tex]p^{\frac{1}{3}}[/tex]), we will get the cube root of p.
[tex]8000 = 2^6 \times 5^3[/tex]
On taking the cube root of 8000, we get
[tex]\sqrt[3]{8000} = 2^2 \times 5[/tex]
[tex]= 20[/tex]
which is an integer.
So 8000 is a perfect cube number.
so, 8000 is a perfect cube number because cube root of 8000 is an integer.
Second option is correct.
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weekly wages at a certain factory are normally distributed woth a mean of $400 and a standard deviation of $50. find the probability that a worker selected at random makes between $450 and $500
Answer:
See below
Step-by-step explanation:
450 is 1 standard deviation above mean : z - score +1 corresponds to
.8413 (from z-score table)
500 is 2 S.D. for z-score of 2 corresponds to .9772
.9772 - .8413 = .1359 or 13 . 59 %
A flagpole is anchored to the ground by a guy wire that is 12 m long. The guy wire makes an angle of 63 deg with the ground. How far from the base of the flagpole must the guy wire be anchored into the ground?
Answer: ~ 5.45 m
Step-by-step explanation: The pole would create an altitude for the triangle, and the wire attached from the ground to the pole would be create a hypotenuse of 12m. Since the wire makes a 63 degree angle with the ground, we can use a trig ratio to find the base. The base of the triangle would be the distance from the wire in the ground to the pole itself. Using cosine, (adjacent to 63 degrees over 12m) you can find the measure of the base.
cos (63 deg.) = x / 12
12 • cos (63 deg.) = x
5.44788599687 = x.
Hope this helps! (Added pic for clarity!)
giving out brainliest!
−5x > –25
Answer:
the answer is x < 5
Step-by-step explanation:
-5x/-5 < -25/-5
Cancel terms that are in both the numerator and denominator
Divide the numbers
x < 5
what is the quotient
will mark as brainliest
The quotient is [tex]x-1+\frac{9}{x+6}[/tex]
What is the formula of division?The formula to calculate the division of two numbers is: Dividend ÷ Divisor = Quotient + Remainder. Here, The dividend is the number, which is being divided. The divisor is the number, which divides the number (dividend) into equal parts.
Division in maths is the process of breaking a number up into equal parts, and finding out how many equal parts can be made. For example, dividing 15 by 3 means splitting 15 into 3 equal groups of 5.
In the above question we simply have to divide the dividend that is [tex]x^2+5x+3[/tex] with x + 6
and then we will get the quotient as x - 1 and remainder 9 .
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E is the midpoint between Dand F. If DE=3x+2, EF=5x, find the value of x. Responses 1 1 15 15 3 3 5
If E is the midpoint of DF then the value of x is 1 .
The midpoint of the reference line that is established can be found using a straightedge and compass arrangement given two locations of interest.
One can locate a line segment's midpoint that is embedded in a plane by first building a lens made of circular arcs with equal (and large enough) radii centered at the two endpoints, and then combining the cusps of the lens (the two points where the arcs intersect). The point where the line connecting the incisors intersects the segment is thus considered to be its midpoint. Using a map alone makes it more challenging to locate the midpoint, but it is still possible according to the Mohr-Mascheroni theorem.If E is the midpoint of DF then we can say that ,
DE = EF
Now we put the values in the equation:
3x + 2 = 5x
or, -2x = -2
or, x = 1
Therefore the value of x is 1
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A bicyclist rides 11.2 kilometers
east and then 5.3 kilometers south.
What is the magnitude of the
bicyclist's resultant vector?
Hint: Draw a vector diagram.
[ ? ] kilometers
Round your answer to the nearest tenth.
The magnitude of the bicyclist's resultant vector is 12.5 km.
Given that, a bicyclist rides 11.2 kilometers east and then 5.3 kilometers south.
What is vector?A vector is an object that has both a magnitude and a direction. Geometrically, we can picture a vector as a directed line segment, whose length is the magnitude of the vector and with an arrow indicating the direction.
Now, using Pythagora's theorem
The magnitude of the bicyclist's resultant vector is
x² = (11.2)² + (5.3)²
⇒ x² = 125.44 + 28.09
⇒ x² = 153.53
⇒ x = √153.53
⇒ x = 12.47
⇒ x ≈ 12.5 km
Therefore, the magnitude of the bicyclist's resultant vector is 12.5 km.
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Answer:
12.4 km (nearest tenth)
Step-by-step explanation:
The resultant vector of the bicyclist after riding 11.2 km east and then 5.3 km south is:
b = 11.2i - 5.3jThe magnitude of a vector b is written | b |.
Magnitude is a scalar, and it’s always positive.
The i and j components of a vector form a right triangle, so use Pythagoras’ theorem to find a vector’s magnitude.
[tex]\begin{aligned} |\textbf{b}|&=\sqrt{11.2^2+5.3^2\\&=\sqrt{125.44+28.09\\&=\sqrt{153.53}\\&=12.4\; \sf (nearest\;tenth)\end{aligned}[/tex]
Therefore, the magnitude of the bicyclist's resultant vector is 12.4 km (nearest tenth).
heyya cann anyone help me with this
Answer:
a = 132°
Step-by-step explanation:
this is a straight line and straight lines always measure up to 180°....so you subtract 48° from 180° and you get 132°
Answer:
132°
Step-by-step explanation:
We know that,
angles in a straight line are added upto 180°.
Accordingly,
[tex]48 + a = 180[/tex]
Subtract 48 by both sides and make a the subject.
[tex]a = 180 - 48 \\ a = 132 \degree[/tex]
Given the function g(x) = −3x + 4, compare and contrast g(−2) and g(4). Choose the statement that is true concerning these two values.
1. The value of g(−2) is smaller than the value of g(4)
2. The value of g(−2) is the same as the value of g(4).
3. The values of g(−2) and g(4) cannot be compared.
4. The value of g(−2) is larger than the value of g(4).
The function g(x) = −3x + 4, after putting the values we find out that the value of g(-2) is greater than the value of g(4). Hence, option 4 is correct.
What is a function?An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for creating physical links in the sciences.
According to the given information in the question,
g(x) = -3x + 4
Substitute g(-2) in the above equation,
g(-2) = -3(-2) + 4
g(-2) = 10
Now, substitute g(4) in the above equation,
g(4) = -3(4) + 4
g(4) = -8
Hence, it is clear that the value of g(-2) is larger than the value of g(4).
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I don’t understand this it says let a and b be rational numbers
To answer this question we will use the following examples:
1) Let a=b, then:
[tex]\sqrt{a*b}=\sqrt{a^2}=|a|.[/tex]Since a is rational, then |a| is rational.
2) Let a=1 and b=2, then:
[tex]\sqrt{1*2}=\sqrt{2}.[/tex]We know that √2 is an irrational number.
Therefore, if a and b are rational numbers, then:
[tex]\sqrt{ab}[/tex]is sometimes a rational number.
Answer: Third option.
Given the equation 13.25y = 79.5, determine the value of y.
Answer:
y = 6
Step-by-step explanation:
13.25 = 79.5 ( isolate y by dividing both sides by 13.25 )
y = 79.5 ÷ 13.25 = 6
Evaluate the function when x=-2; f(x)=4x+3
Answer:
Replace the variable x with -2 in the expression
f(-2) =4(-2)+3
f(-2) = -8+3
f(-2) = -5 (final answer)
Multiply (4.12 x 10-9)(8.3 x 1015). Write the final answer in scientific notation.
© 34.196 x 10^134
O 3.4196 x 107
O 3.4196 x 10^135
© 34.196 x 106
Help ASAP please!!!
Answer: 34.196 x 10^6
write a variable expression for each word phrase. (b times 8)
b times 8 can be written as
[tex]b\times8[/tex]For an upcoming event a 2500 seat arena is selling tickets for $25 and $15. At least 1000 tickets
must be priced at $15 and total sales need to exceed $10,000 to make a profit. Let x represent the
number of tickets priced at $25 and y represent the number of tickets priced at $15.
It is assumed you are looking for the inequalities that the problem dictates.
GivenNumber of $25 tickets = x, total of $25 tickets is 25x.Number of $15 tickets = y., total of $15 tickets is 15y.ConditionsNumber of seats is at most 2500:
x + y ≤ 2500At least 1000 tickets must be priced at $15:
y ≥ 1000Total sales need to exceed $10,000:
25x + 15y ≥ 10000So there is a system of 3 inequalities you need to solve.
Let me know if you need additional guidance on solving the system.
Find the value of r. Justify your answer.
6×(r×3)=3×(6×9)
Answer:
r = 9
Step-by-step explanation:
6 × (r × 3) = 3 × (6 × 9) , that is
6 × 3r = 3 × 54
18r = 162 ( divide both sides by 18 )
r = 9
Identify the mean of the following numbers: 15, 18, 24.
Answer:
19
Step-by-step explanation:
So first add the numbers and find sum. 15+18+24=57. Then you have to divide it by the number of numbers that are in the set which is 3. 57/3=19
Answer:
The mean is 19!
Step-by-step explanation:
The mean is 19!
Kate and Hellen buy a car. Kate pays £1200 and Helen pays the remaining 23 of the
total cost. How much does the car cost in total?
Answer:1223 pounds?
Step-by-step explanation:
Estimate the value of each expression to the nearest integer
[tex]\sqrt{x} 3[/tex]
The value of the expression given as √x³ is x√x
How to evaluate the expression?The expression is given as
√x³
Express 3 as the sum of 2 and 1
So, we have the following equation
√x³ = √x²⁺¹
Apply the law of indices to expand the equation
So, we have the following equation
√x³ = (√x² * √x)
Next, we expand the equation
So, we have the following equation
√x³ = √x² * √x
Evaluate the square root of x²
So, we have the following equation
√x³ = x * √x
Evaluate the product
So, we have the following equation
√x³ = x√x
Hence, the value of the expression is x√x
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Can someone please solve this
Answer:
f ( 5, 2 )
h ( 4, -2 )
a ( 1,0 )
d ( -3, 5 )
Step-by-step explanation:
Assuming every point is one space.
We can find this by counting how far away it is form the origin for example f is 5 place right of the origin so x=5 and is above the origin two places so y=2. So (5,2) is the answer.
due now pls help meee!!!!!
Answer:
just guess but it might be c
