The percentage error is 8.3%
What is percentage?A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
Given that, Akira is redecorating her bedroom. She misread the markings on her ruler and thought a picture frame she bought was 5.2 centimetres wide. The frame's actual width was 4.8 centimetres.
Percentage Error = ((Estimated Number – Actual Number)/ Actual number) x 100.
= (5.2-4.8)/4.8x100 = 8.3%
Hence, The percentage error is 8.3%
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the average of a list of 4 numbers is 92.0 . a new list of 4 numbers has the same first 3 numbers as the original list, but the fourth number in the original list is 40 , and the fourth number in the new list is 48 . what is the average of this new list of numbers?
The average of the new list of 4 numbers is 94.
If the average of the original list of 4 numbers is 90, then the sum of these 4 numbers is:
4 x 90 = 360
If the 4th number in the original list is 80, then the sum of the first 3 numbers in the original list is:
360 - 80 = 280
If the first 3 numbers in the new list are the same as in the original list then the sum of these new first 3 numbers is also:
280
If the 4th number in the new list is 96 then the sum of the 4 numbers in the new list is:
280 + 96 = 376
Therefore, the average of the new list of 4 numbers is:
376 / 4 = 94
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If $\frac{x}{2} + \frac{y}{3} = 1$ and $\frac{x}{4} + \frac{2y}{3} = -1$, what is the value of the sum of $x$ and $y$?
For the given set of equations x/2 + y/3 = 1 and x/4 + 2y/3 = -1 the sum of x and y is 1.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given set of equations are,
x/2 + y/3 = 1,
x/4 + 2y/3 = -1.
Simplify both the equations,
3x + 2y = 6 (1)
3x + 8y = -12 (2)
Subtract equation (2) and (1),
6y = -18
y = -3
Substitute the value of y = -3, in equation (1)
3x + 2(-3) = 6
3x - 6 = 6
3x = 12
x = 4
The sum of x and y,
x+y = 4 - 3
= 1
The sum of x and y for the given equations, is 1.
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In a math class with 28 students, a test was given the same day that an assignment
was due. There were 20 students who passed the test and 19 students who completed
the assignment. There were 16 students who passed the test and also completed the
assignment. What is the probability that a student passed the test given that they
completed the homework?
The phrase "given that they completed the homework" indicates that we're only looking at the students who completed the homework. We're ignoring those students who didn't complete the homework.
Of the 19 students who completed the homework, 16 of those passed the test.
This gives us the fraction 16/19 which is about 0.842105263157895 or about 84.2%.
That's your probability that a student passed the test given that they completed the homework.
HELP ASAP
Use the drop-down menus to correctly complete the statement. Consider the equation, y=51(1.42)^t. Since the Choose... is Choose..., this equation represents an Choose... function.
1.42 is the base of the equation and equation [tex]y = 51 (1.42)^t[/tex] represents the exponential function
What is an exponential function?An exponential function is a function which can be defined as f(x) = aˣ, Where 'x' is a variable and 'a' is a constant.
The given equation is,
[tex]y = 51 (1.42)^t[/tex]
The given function is in exponential power of t.
Since, the 1.42 is the base of the given function
And equation [tex]y = 51 (1.42)^t[/tex] represents the exponential function.
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every week, greg spends at least three times the number of hours traveling to work as he does being at work. if greg is at work for 10 hours a week, how much time does he spend traveling to work each week? question 12 options: a) at least 30 hours b) at least 16 hours c) at least 22 hours d) at least 25 hours
If Greg is at work for 10 hours a week, he spends 30 hours traveling to work.
Explanation
No of hours he works in a week = 10
No of hours he spends on travelling = 3 * no of hours he works in a week
=10 x 3 =
30 hours
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious.
The repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
In addition to addition, subtraction, and division, multiplication is a mathematical operation. The four fundamental arithmetic operations are taught to students in their primary classes.
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Boris has 22 shirts to fold. Let N be the number of shirts he would have left to fold after folding F of them. Write an equation relating N to F. Then use this equation to find the number of shirts he would have left to fold after folding 15 of them.
The number of shirts to be left for folding is 7 and the equation is F+N=22.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Boris has 22 shirts to fold. Let N be the number of shirts he would have left to fold after folding F of them. Write an equation relating N to F.
The equation will be written as,
N + F = 22
N + 15 = 22
N = 22 - 15
N = 7
Therefore, the number of shirts to be left for folding is 7 and the equation is F+N=22.
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even if a treatment has no effect, it is still possible to obtain an extreme sample mean that is very different from the population mean. what outcome is likely if this happens?
The outcome is Reject H0 and make a Type 1 error
What is H0?
When your sample contains sufficient evidence, you can reject the null and conclude that the effect is statistically significant. Statisticians often denote the null hypothesis as H0.
Here type 1 error is defined as Rejecting H0 when H0 is true.
Therefore, the outcome is Reject H0 and make a Type 1 error.
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consider the process of throwing $m$ balls into $n$ bins, where each ball is thrown into a uniformly random bin, independent of other balls. what is the expected number of balls in a particular bin $b$?
The predicted quantity of balls in the first bin is (1/n)n.
Considering that,
There are the same number of balls and containers.
If so, then each container must always contain one ball. The probability of each ball landing in the first bin is (1/n)n.
For instance -
Three balls and three bins should be present. Next to each ball, place an A, B, and C. There are numbers 1, 2, and 3 on the containers. Ball A has a 1/3 chance of landing in bin 1. Although there is a 1/3 probability that ball B will drop in bin 1 and a 1/3 chance that ball C will do the same, both outcomes are possible. Therefore, bin 1 should be equal to 1/3 + 1/3 + 1/3. The rationale behind the projected values of bins 2 and 3 is identical.
According to the same logic, bins 2 and 3 should also have expected values of 1.
How probable is it that the first bin will receive all three balls?
In general, (1/n)n, which equals (1/3)3, or 1/3 x 1/3 x 1/3, equals 1/27.
Therefore, (1/n)n would be the expected number of balls in the first bin.
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Point A in the graph below is reflected through the line Y-X.
What are the coordinates
of Point A', the image of Point A?
Answer:
[tex](6,1)[/tex]
Step-by-step explanation:
When reflecting over [tex]y=x[/tex], [tex](x,y) \longrightarrow (y, x)[/tex].
one hundred units of part a are to be processed on a work center. the setup time is 2 hours and the run time per piece is 10 minutes. the total standard time will be
The total standard time required to processed for one hundred units as per given setup and run time is equal to 1120minutes.
As given in the question,
Number of units to be processed = One hundred units
Conversion used:
1 hour = 60 minutes
Time required for setup = 2 hours
= 2 ( 60) minutes)
= 120 minutes
Run time per piece = 10 minutes
⇒ Run time required for 100 units = 100 × 10
= 1000 minutes
Total standard time for 100 units is equal to
= Run time for 100 units + set time
= 1000 + 120
= 1120 minutes
Therefore, the total standard time required to processed 100 units is equal to 1120 minutes.
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7/10 - ____ + 3/2 =6/5?
What's the answer in the blank?
Answer:1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
7/10-x+3/2=6/5
7/10-x=6/5-3/2
7/10-x=-3/10
-x=-10/10
x=1
[tex]\cfrac{7}{10}-x+\cfrac{3}{2}=\cfrac{6}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10\left( \cfrac{7}{10}-x+\cfrac{3}{2} \right)=10\left( \cfrac{6}{5} \right)}\implies 7-10x+15=12 \\\\\\ 22-10x=12\implies 22=10x+12\implies 10=10x\implies \cfrac{10}{10}=x\implies 1=x[/tex]
which fraction is greater 1/3 or 1/9
Answer:
1/3
Step-by-step explanation:
1/9 is one piece in total of 9 but 1/3 is one piece in total of 3
Given parallelogram DEFG, if DF = 5x + 1, what is XF?
Applying the property of the diagonals of a parallelogram, XF = 13 units.
What are Some Properties of a Parallelogram?A parallelogram is a quadrilateral with the following properties:
The opposite sides are equal and parallelThe two diagonals of a parallelogram bisects each other into equal halves each.DF and EG are diagonals of parallelogram DEFG, where:
DF = 5x + 1
EX = 2x
XG = 3x - 5
Based on the property of the diagonals of a parallelogram, we have:
EX = XG
Substitute
2x = 3x - 5
2x - 3x = -5
-x = -5
x = 5
Length of XF = 1/2(DF)
Substitute
Length of XF = 1/2(5x + 1)
Plug in the value of x
Length of XF = 1/2(5(5) + 1)
Length of XF = 13 units
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question what is the hundreds digit of the integer z? (1) 10z > 25,670 (2) z rounded to the nearest hundred is 2,600.
Part a: 10z > 25,670; infinite integer.
Part b: Range = 2550 to 2649.
Explain the term integer?All whole numbers including negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a collection of integers results. An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion. Integers include things like -5, 10, 21, 15, 18, 97, and 343.Part a: 10z > 25,670
Divide the inequality on both sides by 10.
z > 2,567
Thus, there are infinite number which are greater than 2567.
Part b: z rounded to the nearest hundred is 2,600.
Range = 2550 to 2649.
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Which one blue, light blue , yellow or red
Step-by-step explanation:
light blue.
our function needs to calculate r out of h.
P does not recognize h (hours after midnight) as parameter. P needs c as input.
T needs h as input and delivers c as output.
therefore (P ○ T)(h) = r is correct.
first the "inner" T function is calculated with h as parameter and then P is calculated using the result from T (c) as input and delivers r.
Select all of the expressions that are equivalent to 5% of 60.
Answer:
1, 2, and 3
Step-by-step explanation:
5% = 0.05 = 1/20
The first expression is equal, as 5% is equal to 1/20.
The second expression is equal, as 5% in decimal form is 0.05.
The third expression is equal, as 5% is 5/100 in fraction form, which can be simplified to 1/20.
The fourth expression is NOT equal, as it is 20%, not 5%. 1/5 = 0.2.
The fifth expression is NOT equal becauase 0.5 is one half (1/2), which is not equal to 0.05.
PLS HELP WILL GIVE BRAINLIEST The table shows a hot air balloon's height h, in feet, during a descent at various times t, in seconds.
Step-by-step explanation:
A .
1150-1090=60
60feet/5sec = 12feet/sec
B.
yes it's is constant , because is decreasing by 60 feet in every 5 sec
C.1150
Dominic solves the equation 3(x - 5) + 2x = 0 for x using the steps below. drag and drop the correct values to make his work and answer correct
Answer:
x = 3
Step-by-step explanation:
First, distribute the 3.
3(x - 5) + 2x = 0
3x - 15 + 2x = 0
Next, combine the x's.
(3x + 2x) - 15 = 0
5x - 15 = 0
Then, add 15 to both sides.
5x = 15
Finally, divide by 5 on both sides.
x = 3
Which of these relations is a function?
Answer:
The top right
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Because for every x there is a only an y
suppose there are n independent trials of an experiment with k>3 mutually exclusive outcomes, where pi represents the probability of observing the ith outcome. what would be the formula of an expected count in this situation?
The expected counts for each possible outcome are given by Ei = npi
What is mutually exclusive outcomes?
When two events cannot happen simultaneously or at the same time, they are said to be mutually exclusive in probability theory. In other words, discontinuous occurrences are described as being mutually exclusive. The likelihood of two events occurring simultaneously is 0 if they are regarded as disjoint events. Events that do not occur simultaneously are said to be mutually exclusive. When a coin is tossed, for instance, the outcome will either be head or tail, but we cannot get both outcomes.
The expected counts for each possible outcome are given by Ei = npi
Suppose there are n independent trials of an experiment with k > 3 mutually exclusive outcomes,
where pi represents the probability of observing the ith outcome.
The expected counts for each possible outcome are given by Ei = npi
Where, pi is the probability of observing the ith outcome
Ei is the expected count of the ith outcome.
Hence, The expected counts for each possible outcome are given by Ei = npi.
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in words we could say that one thousand grams is equal to one grams. (write the prefix, do not include any dashes).
The statement is 1000 g = 1 kg. One thousand grams is equal to one kilo grams, to put it in words.
Given that,
The statement is 1000 g = 1 kg. One thousand grams is equal to one _____ grams, to put it in words. (Write the prefix; leave out the dashes.)
We have to fill the blank.
We know that,
What is kilogram?The metric system's fundamental mass unit is the kilogram. In the past, it has been measured using a variety of sources. It was first calculated based on the weight of 1000 cc of water. Water density varies according to temperature. Furthermore, this reference has been abandoned since the contaminants and solutes in water also provide erroneous results when standardizing the ideal mass of 1 kg.
What is gram?A gram is described as the 1/1000th of a kilogram in the reference used to define a mass of 1 kg. The maximum density of 1 g/cc was originally used to define it as the mass of 1 cc of water.
Therefore, The statement is 1000 g = 1 kg. One thousand grams is equal to one kilo grams, to put it in words.
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Which set of measurements can represent the lengths of a triangle's sides? classify each set of lengths as a triangle or not a triangle.
The measurements are represented by lengths of a triangle's sides by -
Option C: 3 in, 7 in, and 8 inOption D: 3 in, 5 in, and 7 inExplain the term triangle?A triangle is a polygon with three vertices and three sides. The angles of a triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.The triangle's three sides must satisfy the following condition:
"The total of any two triangle sides must be larger than or equal here to third side of the triangle."
We have four options in this question, so we'll go through them one at a time.
Option A: 1 in, 3 in, and 7 inSince (1+3)<7 in this case, a triangle cannot be formed.
Option B: 3 in, 3 in, and 7 inSince (3+3)<7 in this case, a triangle cannot be formed.
Option C: 3 in, 7 in, and 8 inIn this instance, (3+7)>8, (3+8)>7, and ((7+8)>3
Thus, a triangle will be formed by these.
Option D: 3 in, 5 in, and 7 inIn this instance, (3+5)>7, (3+7)>5, and (5+7)>3
Thus, a triangle will be formed by these.
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The options for the question are attached.
b = 10 and m = − 2 in slope intercept form
Answer:
y=-2x+10
Step-by-step explanation:
Just use the formula y=mx+b and replace the letters with the numbers.
Answer: y = -2x + 10
Step-by-step explanation:
y = mx + b
m = -2
b = 10
x = unknown number
y = m(-2)x + b( 10)
let s be a set of n segments in the plane. a line ? that intersects all segments of s is called a transversal or stabber for s.
Suppose 's' be a collection of 'n' plane segments. It is true to say that a transversal as well as stabber for 's' is a line that crosses every segment of 's'.
Explain the term transversal?A transversal in geometry is a line, ray, as well as line segment that, on a plane, overlaps other lines, rays, including line segments at various locations.
A transversal is a line that, at two different locations in the geometry, cuts through two lines within the same plane. Various sorts of angles in pairs, including successive internal angles, corresponding angles, and alternate angles, are produced by a transversal intersection between two lines.Thus, if 's' be a collection of n plane segments. It is true to say that a transversal as well as stabber for 's' is a line that crosses every segment of s.
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I need the answer please.
Apple pies are $5 and pumpkin pies are $15
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
5a+12p=205............(1)
2a+1p=25.................(2)
Now, Multiply (2) by -12 to get
-24a-12p=-300
and, 5a+12p=205
-24a-12p=-300
Adding above Equations together
-19a=-95
a= 5
and, 2(5)+p=25
10+p=25
p=15
Hence, Apple pies are $5 and pumpkin pies are $15
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Test Prep Complete the equation so that it has the solution c = 4 5(2c_ )=2(c+11)
The unknown value that has the solution as c = 4 of the given algebraic equation is; 2
How to solve algebra word problems?The given algebraic expression for which we want to input a value and solve is given as; 5(2c − ?) =2(c + 11)
Now, we want to find the unknown value that has the solution as c = 4. Thus, we will plug in 4 for c into the given equation to get;
5(2(4) − ?) =2((4) + 11)
5(8 − ?) = 30
divide both sides by 5 to get;
(8 − ?) = 6
Add -6 + ? to both sides to get;
8 − ? - 6 + ? = 6 - 6 + ?
? = 2
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Complete question is;
Complete the equation so that it has the solution c = 4.
5(2c − ?) =2(c+11)
What is mZPTR?
(x+28)°
P
R
S
(2x + 16)⁰
Answer:
140 degrees
Step-by-step explanation:
first we have to find x by setting these 2 angles equal to each other
x+28=2x+16
-x. -x
28=x+16
-16. -16
12=x
Now we need to find the x+28 angle
12+28
40
And since PTR is next to it we subtract 180 from this
180-40
140 degrees
Hopes this helps
Five less than half a number is epaulets to one.
Answer:
Step-by-step explanation:
do not consider the effect of shear stress. find the results in terms of p, e and iz. the beam is thin which means the u and v will be functions of x and y only
The shear and moment throughout the beam as functions of x are V = ( 30 - 2x ) kip and M = ( - x² + 30 x - 216 ) kip ft for 0 ≤ x ≤ 6 ft and V = 8 kip and M = ( 8 x - 120 ) kip ft for 6 ≤ x ≤ 10 ft
What is meant by shear and moment?The ability to construct shear force diagrams (SFD) and bending moment diagrams (BMD) is essential for any student studying statics, mechanics of materials, or structural engineering. Both a long and a short route can be used to complete them. The extended method is more thorough and yields formulas for the internal shear and internal bending moments in beams in terms of x: V(x) and M(x), respectively. In introductory statics classes, this is typically the approach required to demonstrate understanding of the situation. The rapid method eliminates the need for calculations in terms of x and instead employs a more visual method that you may use to highlight the crucial areas on the diagrams before simply connecting the dots.
How to solve?
For 0 ≤ x ≤ 6 ft,
∑ Fy = 0
30 - 2 x - V = 0
V = ( 30 - 2x ) kip
∑M = 0
M + 216 + 2 x ( x / 2 ) - 30 x = 0
M = ( - x² + 30 x - 216 ) kip ft
For 6 ≤ x ≤ 10 ft,
∑ Fy = 0
V - 8 = 0
V = 8 kip
∑ M = 0- M - 8 ( 10 - x ) - 40 = 0
M = ( 8 x - 120 ) kip ft
the shear and moment throughout the beam as functions of x are :
V = ( 30 - 2x ) kip and M = ( - x² + 30 x - 216 ) kip ft for 0 ≤ x ≤ 6 ft
V = 8 kip and M = ( 8 x - 120 ) kip ft for 6 ≤ x ≤ 10 ft
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you order 3 strings of white led lights and 2 strings of colored led lightgs for 66$ In a second order you buy one string of each type for 27$ A. WHICH TYPE OF LED IS MORE EXPENSIVE
The colored type of led is more expensive if you order 3 strings of white led lights and 2 strings of colored led lights for 66$.
What is meant by an equation?An equation in French is defined as having one or more variables, whereas an equation in English is any well-formed formula consisting of two expressions combined with an equals sign.
Solving a variable equation includes determining which variables' values result in equality. Unknowns are the variables for which the equation must be solved, while equation solutions are the unknown values that satisfy the equality. An equation is a mathematical phrase with two equal sides separated by an equal sign. An equation is 4 + 6 = 10. We can see 4 + 6 on the left side of the equal sign and 10 on the right.
First type of white led have 3 strings=3x
Second type of colored led have 2 strings and bought only one string=2y
The total cost =3x+2y=66 ----------->(1)
In the second order ,
Each string brought only one=x+y=27 ------->(2)
Solving equations 1 and 2
From eq2, y=27-x
3x+2(27-x)=66
3x+54-2x=66
X=12
Y=27-x=27-12=15
Therefore, the type of colored led are expensive
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