The reason is that the absolute value of a number discards the sign, so it can't be negative as the absolute value of a number is the distance of the number from zero.
Mean Absolute Error (MAE) is a measure of the difference between the predicted value and the actual value. It is calculated by taking the absolute value of the difference between each predicted value and the actual value, and then averaging the differences.
MAE is always positive because it is calculated using the absolute value of the errors, which always results in a positive value. The absolute value function removes the negative sign from any negative errors, so all errors are treated as positive. Therefore, the sum of all errors will always be positive regardless of whether the predicted values are greater or less than the actual values.
It's used in regression problems to measure how good the model is by comparing the actual value and the predicted value. Since MAE is a positive value, it gives a clear understanding of how far the predicted value is from the actual value, which helps to understand the model's performance.
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8. There are 4 red balls, 5 blue balls and 3 green balls in a bag
A ball is to be taken at random and not replaced.
A second ball is then to be taken at random.
a) Complete the tree diagram below;
b) Use the tree diagram to calculate the probability that both balls taken will be
(iii)Calculate the probability that exactly one of the balls taken will be red
So on solving the provided question we cans say that probability that we got red balls is - P(R) = 1/3
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
given,
red balls = 4
blue balls = 5
green balls = 3
Probability that we got red balls is -
P(R) = 4/12 = 1/3
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Alex measured the length of an item to be 3. 7 cm. The actual length is 3. 5 cm. What is Alex’s percent error?
The percent error of Alex's measurement is 5.714%.
Percent error is a measure of how accurate a measurement is compared to the true value. It is calculated by taking the absolute value of the difference between the measured value and the true value, divided by the true value, and then multiplying by 100%.
In this case, the measured value is 3.7 cm and the true value is 3.5 cm.
To calculate the percent error, we can use the following formula:
Percent error = |(measured value - true value) / true value| x 100%
Plugging in the given values, we get:
Percent error = |(3.7 - 3.5) / 3.5| x 100%
= |0.2 / 3.5| x 100%
= 0.05714 x 100%
= 5.714%
This means that Alex's measurement is off by 5.714% from the true value, indicating that the measurement has a low accuracy.
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Find the x-intercept and y-intercept of
1/2x=-4y-8
Answer:
x-intercept is (-16,0) and y-intercept is (0,2)
Step-by-step explanation:
To find the x-intercept of the equation 1/2x = -4y - 8, we need to set y to 0 and solve for x.
1/2x = -4(0) - 8
1/2x = -8
x = -8*2
x = -16
So the x-intercept of the equation is (-16,0)
To find the y-intercept of the equation 1/2x = -4y - 8, we need to set x to 0 and solve for y.
1/2(0) = -4y - 8
-8 = -4y
y = 8/4
y = 2
So the y-intercept of the equation is (0,2)
Answer:
the x-intercept of the equation is (-16, 0).
the y-intercept of the equation is (0, 2).
Step-by-step explanation:
To find the x-intercept and y-intercept of the equation 1/2x = -4y - 8, we can set one of the variables to zero and solve for the other variable.
For the x-intercept, we set y = 0 and solve for x:
1/2x = -4(0) - 8
1/2x = -8
x = -8 * 2
x = -16
So the x-intercept of the equation is (-16, 0).
For the y-intercept, we set x = 0 and solve for y:
1/2(0) = -4y - 8
-4y = -8
y = 2
So the y-intercept of the equation is (0, 2).
The function has one local minimum and one local maximum. Use a graph of the function to estimate these local extrema. Round to the nearest whole number.
There are two types of relative extremas for a function, described as follows:
Local minimum: function changes from decreasing to increasing.Local maximum: functions changes from increasing to decreasing.On the graph, these relative extremas of a function are the turning points of the function.
The function for this problem is defined as follows:
f(x) = 2x³ - 39x² + 180x + 4.
For the function defined in this problem, the graph is given by the image presented at the end of the answer, with the points representing the relative extremas marked.
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solve for X please explain
Answer:
Step-by-step explanation:
add the 2 equations:
3x+18+4x+15
simplify:
7x+33
we know that all angles on a straight line is 180 degrees.
7x+33=180
solve that equation:
7x=147
x=21
from here substitute x=21 into both equations.
3x+18
3x=63
63+18=81
left angle is 81 degrees
4x+15
4x=84
84+15=99
right angle is 99 degrees
we can check this by adding them both: 99+81=180
its right as all angles on a straight line add to 180, which these do.
hope this helped
question 54 of 99 a teacher wanted to buy a chair, a bookshelf, two tables and a desk. she spent $900 for all five items and the chair and the desk combined cost 70% of her total. if the bookshelf cost $50, how much did each of the tables cost
The cost of each table is $110.
Given:
Total Amount spent = $900
Cost of bookshelf = $50
By dividing the entire amount paid by 70%, you may calculate the cost of the chair and desk.
Cost of chair and desk = 900 x 0.70 = $60
Now, subtract that cost from the total amount spent:
900 - 630 = $270 was spent on the rest three items.
Next, subtract the cost of the bookshelf:
270 - 50 = $220
The cost of two tables is $220.
So, the price of one table can be calculated by dividing this cost by 2:
220/2 = $110
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What is the formula to get height of triangle?
Step-by-step explanation:
that depends on the type of triangle and what other pieces of information you have about the triangle.
I think you might aim for the geometric mean theorem.
it is the relation between the height on the hypotenuse in a right triangle and the two line segments (p, q) it creates on the hypotenuse (= p + q).
height = sqrt(p×q)
$200$ points are equally spaced on the circumference of a circle. how many squares can be formed with $4$ of the $200$ points as vertices?
The total number of squares that can be formed with 4 of the 200 points as vertices is 39,600.
The equation for calculating the total number of squares that can be formed with 4 of the 200 points as vertices are:
Number of squares = (200 Choose 4) x (4!/2) = (200!/196! x 4!) x (4!/2)
Using the factorial notation, this simplifies to:
Number of squares = (200 x 199 x 198 x 197) x (2) / (4 x 3 x 2 x 1)
The number of squares = 39,600.
Solving the equation, the total number of squares that can be formed is 39,600.
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is this mapping a diagram function, why or why not?
Answer:
not a function
Step-by-step explanation:
for the mapping to be a function, each value of x (input ) must map to exactly one unique value of y ( output )
here 1 → 2 and 1 → - 2
- 5 → 4 and 5 → - 4
since the input for these values maps to 2 output values
Then the mapping is not a function
What are 3 acute angles?
Answer: in a triangle if all its angle measure less than 90 degree is called an acute triangle.
Step-by-step explanation: In equilateral triangle all of its 3 angle measure equally and are less than 90 degree thus making it an acute triangle.
Steve has 12 biscuits in a tin. There are 2 digestive, 3 chocolate and 7 ginger biscuits. Steve takes two biscuits at random from the tin. Work out the probability that he chooses two different types of biscuits.
Answer:
Step-by-step explanation:
The probability that Steve chooses two different types of biscuits is 5/11 (or approximately 0.4545).
To calculate this, we need to consider the different combinations of two biscuits that Steve can take from the tin. There are two digestive biscuits, three chocolate biscuits, and seven ginger biscuits, so the total number of possible combinations is 12.
The number of combinations where he chooses two different types of biscuits is 5 (2 digestive and 1 chocolate, 2 digestive and 1 ginger, 1 chocolate and 1 ginger).
Therefore, the probability of choosing two different types of biscuits is 5/12, which is 0.4545.
Answer:
I think it's 3
Step-by-step explanation:
becuse if he has 12 biscuits and u take away 2 which is 10. then its says there are 3 chocolate but it might just be chocolate not a biscuit. then u take away 7 and u get 3.
how do you determine the number of ways a computer can randomly generate a composite integer from 1 through 12?
On solving the provided question, we can say that by using N= 2X + 1 or N = 2X-1 will do the job for composite numbers.
what is composite numbers?By multiplying two small positive integers, you can create a composite number, which is a positive integer. Likewise, any positive integer that has at least one divisor besides itself and 1. Positive whole numbers make up composite numbers. It lacks prime (that is, it has divisors other than 1 and itself). The first several composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16, and are frequently referred to simply as "composites." In other words, composite odd numbers encompass all non-prime odd numbers. for illustration: 9, 15, 21, etc. No. As a result, 2 only possesses the divisors 1 and 2. To put it another way, since 2 only has two divisors, it is not a composite number.
by using N= 2X + 1
or
N = 2X-1
will do the job for composite numbers.
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Why is it called absolute value?
The absolute value is always a positive value and not a negative number. so those numbers are called absolute values.
The absolute value (or modulus) |x| of a real number x is the non-negative value of x without regard to its sign.
It is represented as |a|, which defines the magnitude of any integer ‘a’.
it defines removing any negative sign in front of a number and thinking of all numbers as positive.
Absolute value is a term used in mathematics to indicate the distance of a point or number from the origin (zero point) of a number line or coordinate system.
When x itself is negative (x<0), then its absolute value is necessarily positive
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A machine wheel spins at a rate of 500 revolutions per minute. if the wheel had a diameter of 80 centimeters, what is the angular speed of the wheel, in radians per second? round your answer to the nearest hundredth. ______ rad/sec
The angular speed of the wheel, in radians per second is equal to 52.37 rad/sec.
What is an angular speed?In Mathematics, an angular speed can be defined as the rate of change of angular displacement of a physical object with respect to time. This ultimately implies that, angular speed is a measure of how fast and quickly a physical object revolves or rotates relative to another point or how its angular position changes with respect to time.
Mathematically, the angular speed of a physical object can be calculated by using this formula:
ω = 2πF or ω = Δθ/Δt
Where:
ω represents the angular speed.F is the frequency.π is equal to 3.142Δt is the change in time.Substituting the given parameters into the angular speed formula, we have;
Angular speed of the wheel, ω = 2 × 3.142 × 500
Angular speed of the wheel, ω = 3142 rad/min
In rad/sec, we would divide by 60;
Angular speed of the wheel, ω = 3142/60
Angular speed of the wheel, ω = 52.37 rad/sec.
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A coin has been weighted, so that the probability of getting a head is 2/5 and the probability
of getting a tail is 3/5. The coin is thrown twice. Determine the probability of obtaining:
a) 2 heads b) at least one head
Answer:
Step-by-step explanation:
a) The probability of obtaining 2 heads when a coin is thrown twice is (2/5) * (2/5) = 4/25.
b) To find the probability of obtaining at least one head, we can find the probability of obtaining no heads (0 heads) and subtract that from 1. The probability of obtaining 0 heads is (3/5) * (3/5) = 9/25. The probability of obtaining at least one head is 1 - (9/25) = 16/25.
Classify each as an ordinary differential equation (ODE) or a partial differential equation (PDE), give the order, and indicate the independent and dependent variables. If the equation is an ordinary differential equation, indicate whether the equation is linear or nonlinear.
The variable or factors that the unknown function depends on are referred to as the independent variables.
What is dependent variable?Everything that track in the study and what is impacted by it are both considered dependent variables. Depending on the independent variable, the dependent variable will change. Because it "depends" on the independent variable, it is known as a dependent variable. The dependent variable on other measurable variables As a result of an experimental modification of the independent variable or variables, these variables should change.
The amount of study one did, how much sleep one got the night before the test, or even how hungry he or she were can all affect your test result, which makes it a dependent variable. As an example, the test score might be a dependent variable.
Differential equations that have a constant power of one are known as linear differential equations.
A linear ordinary differential equation is what the given differential equation is.
The highest derivative that appears in the connection determines the order of a differential equation.
Consequently, the differential equation has an order of 1.
The variable or factors that the unknown function depends on are referred to as the independent variables.
As a result, in the above differential equation, t is independent and p is dependent variable.
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The complete question is as follows:
Ians car can go 296 miles on 8 gallons of gas. During a drive last weekend, ians used 7 gallons of gas. How far did he drive?
Answer:
259 miles
Step-by-step explanation:
To find this, we need to multiply his 8 gallons by [tex]\frac{7}{8}[/tex] since he only uses 7 gallons of gas. In turn, we also need to multiply 296 by [tex]\frac{7}{8}[/tex]. We get:
[tex]296 * \frac{7}{8} = 37 * 7 = 259[/tex]
So, Ian drove 259 miles last weekend.
Hope this helped!
If you add in more mass to an object, Will it increase or decrease the EPE of the object? PLS ANSWER AS SOON AS ANYTHING!!!!
By increasing the mass of an object , the Elastic Potential Energy (EPE) is increased
What is Elastic Potential Energy?Elastic potential energy ( EPE) is energy stored as a result of applying a force to deform an elastic object. The energy is stored until the force is removed and the object springs back to its original shape, doing work in the process. The deformation could involve compressing, stretching or twisting the object.
The effect of doubling mass on potential energy is similar to doubling the height. By doubling the mass, the potential energy is also doubled, which becomes the reason to begin the work.
This means that adding more mass to an object will increase the elastic potential energy.
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Find the savings plan balance after 18 months with an apr of 6% and monthly payments of $800. assume an ordinary annuity. a. $15,028.63 c. $15, 360.28 b. $15,280.36 d. $15, 306.82
The savings plan balance after 18 months will be 15,028.63 dollars.
So the answer is a) $15,028.63
What is the annuity problem?
An annuity is a series of equal payments made at regular intervals.
APR (Annual Percentage Rate) = 6%
Monthly payments = $800
Number of months = 18
We can use the formula for the future value of an annuity (FV) to find the savings plan balance after 18 months. The formula for the future value of an ordinary annuity is:
FV = PMT x (((1 + r)^n - 1) / r)
Where:
FV = future value of the annuity
PMT = the regular payment made
r = the interest rate per period (in this case, the monthly interest rate)
n = the number of payments or periods
The interest rate is given as an annual percentage rate (APR), so we need to divide it by the number of periods per year to find the interest rate per period. In this case, 6% / 12 months/year = 0.5% per month.
FV = 800 x (((1 + 0.005)^18 - 1) / 0.005)
FV = $15,028.63
Hence, the savings plan balance after 18 months will be 15,028.63 dollars.
So the answer is a) $15,028.63
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Answer:
A
Step-by-step explanation:
how will the solution of the system y > 2x and y < 2x change if the inequality sign on both inequalities is reversed to y < 2x and y > 2x ?
The solution will remain the system since the same two inequalities still make up the system.
Square $ABCD$ has side length 2. A semicircle with diameter $\overline{AB}$ is constructed inside the square, and the tangent to the semicircle from $C$ intersects side $\overline{AD}$ at $E$. What is the length of $\overline{CE}$
A semicircle with diameter AB is constructed inside the square ABCD which has side length 2. CE is a tangent of the semicircle that intercepts side AD. The length of CE is 2.5 unit.
Information available from the problem:
- ABCD is a square with side length of 2
- A semicircle with diameter AB is constructed inside the square
- The semicircle's tangent from C intersects AD at point E.
The situation can be depicted in the attached picture.
Refer to the attached picture,
FG = FB = radius of semicircle = 1
Since EC is a tangent of the semicircle, then.
∠CBF = ∠CGF = 90⁰
CF is a common sides of triangle CBF and triangle CGF.
Since there are 2 equal sides and 1 equal angle, using SAS rule, triangle CBF and triangle CGF are congruent.
Hence,
CG = CB = 2
FG² = CG x GE
1² = 2 x GE
Hence,
GE = 1/2
CE = CG + GE
CE = 2 + 1/2 = 2.5
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What must each length be in order for quadrilateral JKLM to be a parallelogram?
6. JK=?
7. JL=?
The length in order for the quadrilateral JKLM to be a parallelogram are:
i. JK = 10
ii. JL = 7
Properties of a quadrilateral.A quadrilateral is a family of shapes or figures which has four straight sides, and four measures of internal angles. Examples are: trapezium, rhombus, kite, square, parallelogram etc.
To determine the length of each sides, we have;
opposite sides of a parallelogram are equal, so that;
3x - 2 = x - 6
collect like terms
3x - x = 2 + 6
2x = 8
x = 4
Thus,
i. JK = 3x - 2
= 3(4) - 2
= 12 - 2
JK = 10
ii. JL = 2x - 1
= 2(4) - 1
= 8 - 1
JL = 7
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Round 1212 to the nearest hundred
Answer:
1200
Step-by-step explanation:
step 1: Locate and underline the hundreds place (2) then look at the digit to the right (1): 1212
Step 2: The digit to the right (1) is 4 or below. So, we replace it with a 0 (zero) to get 1200 as the answer.
In short: 1212 rounded to the nearest hundred is 1200.
what is the probability that four aces appear together when a pack of 52 cards is shuffled completely?
0.000004% is the probability that four aces appear together when a pack.
What in mathematics is probability?
The simple definition of probability is the likelihood that something will occur. We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out.
Statistics describes the examination of events subject to probability.
The first ace is a 4 aces and 52 cards = 4/52 chance
there are three aces left and 51 cards in total.
The second ace is 3/51,
since,
The third ace = 2/50 (1/25)
the fourth is 1/49.
= 4/52 * 3/51 * 1/25 * 1/49
= 1/270725
= 0.000004%.
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the eifell tower 324 m tall. the height was halved repeatedly to make a model around 30 cm. what power of 2 was the height divided by?
Answer:
n=3
Step-by-step explanation:
324/2^ n. = 30
324/30 = 2^n
Log 324/30 = Log 2^n = n x Log2
n = Log 324/30 ÷ Log 2
n = 3.43...
as n musg be an integer, thus
take n=3. or 4 will makd the midel height cliase to 30m
0.333, 0.323, 0.3 least to greatest
Answer:
0.3, 0.323, 0.333
Step-by-step explanation:
Answer:
0.3,0.323,0.333
Hope it helps!
Absolute value of |3x+6|=12
Answer:
x = 2, -6
Step-by-step explanation:
3x + 6 = ±12
=> If 3x + 6 = 12
3x = 6
x = 2
=> If 3x + 6 = -12
3x = - 18
x = -6
Answer: 2
Step-by-step explanation: To find the value of x, we need to use the order of inverse operations. Inverse operation(s) means to do the opposite of the operations used. So, instead of adding, we subtract, instead of multiplying, we'll divide. So, the opposite of 6 + 12 is 12 - 6. So, that's 6. Now, instead of multiplying 6 by 3, we need to divide 6 by 3. That's 2. Therefore x = 2. Now, to check our answer, we plug 2 in for 6. So, | 3(2) + 6 | is the positive value of 3(2) + 6, which is 6 + 6.
12 = 12
So, therefore the absolute value of |3x+6|=12 is 2. I hope this helped!
Counterexample of alternate interior angles are never supplementary
Alternate interior angles are supplementary when transversal on parallel lines is perpendicular.
What are Alternate Interior Angles?When two parallel lines are crossed by a transversal, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles.
Given,
To prove alternate interior angles are supplementary.
In the figure
EF is a transversal intersecting the two line AB and CD at 90°.
AB||CD
∠3 and ∠6, ∠4 and ∠5 are alternate interior angles.
∵ EF⊥ AB and EF⊥CD
∴ ∠3 = ∠6 = ∠4 = ∠5 = 90°
Thus sum of alternate interior angles,
∠3 + ∠6 = 90° + 90° = 180°
∠4 + ∠5 = 90° + 90° = 180°
For supplementary angles sum of angles should be 180° .
Hence, when transversal is perpendicular to the parallel lines, the alternate interior angles are supplementary.
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Connie keeps her sports card collection in a 54-page book. each page has 9 slots for cards.
football cards take up the first 18 pages of the book. use the drop-down menus to describe
how many slots in the book may be filled with baseball cards.
click the arrows to choose an answer from each menu.
the inequality choose...
can be used to represent the number of slots in the book that
may be filled with baseball cards....plss help i will give brainly:((((
A line would be drawn on the graph for x 324 and tinted also on left side of the line until x = 0.
What does inequality mean to you?Social justice theories are based on the concept of unequal, namely the notion that individuals are not similar, particularly in terms of position, rights, and showed that the type. It is susceptible to misinterpretation in public conversation, nevertheless, as it typically has distinct meanings to different people. However, some characteristics apply to everyone.
54 total pages
Football card pages = 18
Pages remaining = 54 - 18 Equals 36
As a result, the remaining 36 pages may each hold 9 cards.
Therefore, the remaining spaces are 36 * 9 = 324.
Inequality: 324 spots available
A line would be drawn on the graph for x 324 and tinted also on left side of the line until x = 0.
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Is absolute value always positive on a graph?
On a graph, the absolute value of a number is always non-negative.
The absolute value of a number is defined as the distance of that number from zero on the number line. Since the distance can never be negative, the absolute value of a number is always non-negative.
This is reflected in the graph of an absolute value function. The graph of an absolute value function, |x| is a V-shape that opens upward, with the vertex of the V being the point where the absolute value function equals zero. The two arms of the V extend out from this point, going in opposite directions along the number line. The coordinates of the vertex (0,0) and the graph is always non-negative.
It's important to note that although the absolute value is always non-negative on a graph, the input value (x) can be both positive and negative. The output of the absolute value function (|x|) will always be positive.
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