Answer:
3%
Step-by-step explanation:
We know
In a shipment of 700 motors, 21 are defective.
Based on the shipment, what is the probability that a motor is defective?
We take
21 divided by 700, times 100 = 3%
So, the probability is 3%.
you are showing a child paper cut-outs of various quadrilaterals. if a child tells you that square has 4 sides and 4 angles, the child is most likely operating at what van hiele's level?
The child is most likely operating at visualization level of van hiele's. The solution has been obtained by using the Van Hiele model.
What is Van Hiele model?
The van Hiele theory explains how children pick up geometry. It makes the claim that there are five different degrees of geometric thinking: visualisation, analysis, abstraction, formal deduction, and rigour. Every level has a unique lingo and set of symbols. The levels are progressed through "step by step" by the students.
We are given that a child tells that square has 4 sides and 4 angles by seeing the quadrilateral.
From this, we get that the child is operating at the visualization level of van hiele's because by looking at a figure he tells the number of sides and angles.
Hence, the child is most likely operating at visualization level of van hiele's.
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What is another name for a regression line?
Another name for a regression line is Least squares line
Answer:Best-Fit-Line
Step-by-step explanation:
--Or line of best fit
HOP THIS HELPS!!!
coterminal angles can have different angle measures
Coterminal angles can have different angle measures.
Therefore the answer is True.
Coterminal angles are angles that have the same initial and terminal sides, but may differ in their angle measures. To find a coterminal angle, you can add or subtract a multiple of 360 degrees or 2π radians to the original angle.
For example, an angle of 45 degrees is coterminal with an angle of 405 degrees (45 + 360), as well as an angle of -315 degrees (45 - 360). Similarly, an angle of π/4 radians is coterminal with an angle of 9π/4 radians (π/4 + 2π), as well as an angle of -7π/4 radians (π/4 - 2π). Coterminal angles are useful in trigonometry and calculus when working with periodic functions, as they allow for simplification and generalization of calculations.
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--The question is incomplete, answering to the question below--
"Coterminal angles can have different angle measures. T or F."
write the solution set of the given homogeneous system in parametric vector form.3x1+3x2+6x3=0−6x1−6x2−12x3=0 −4x2+4x3=0where the solution set is x =[x1 x2 x3]
The solution set of the system of equations in this problem is defined as follows:
[-3x3 x3 x3]
How to solve the system of equations?The system of equations for this problem is defined as follows:
3x1+3x2+6x3=0.−6x1−6x2−12x3=0.−4x2+4x3=0.From the third equation, we write x2 as a function of x3, as follows:
4x2 = 4x3
x2 = x3.
Replacing into the first equation, we can write x1 as a function of x3, hence:
3x1+3x2+6x3=0.
3x1 + 3x3 + 6x3=0.
3x1 = -9x3
x1 = -3x3.
Hence the vector solution of the system is given as follows:
[-3x3 x3 x3]
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What is a 6 sided shape called?
Answer:
A 6-sided shape is a hexagon.
Need help with this work sheet
1) Note that it can be concluded that Rishi is not doing well with his budget. The actual overshot the by 5%. See attached Spreadsheet.
2) If the driver who hit Rishi does not have Insurance and neither does Rishi (according to the budget) then Rish will have to save up for a new car because he didn't include the cost of insurance in his budget.
What is a budget and why is it important?A budget is a financial plan that outlines expected income and expenses for a specific period, typically a month or a year.
It helps individuals and organizations to manage their finances by ensuring that they do not spend more money than they earn, and that they allocate their funds in a way that aligns with their goals and priorities.
A budget is important because it enables people to make informed financial decisions, avoid debt, and save money for future expenses.
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What is the sum formula for geometric sequence?
The sum formula for geometric sequence is Sn = a(1 - r^n) / (1 - r)
A unique kind of sequence is a geometric sequence. It is a sequence in which each term aside from the first term and is multiplied by a fixed number to obtain its subsequent term. To obtain the following term in the geometric sequence, one must multiply with a fixed term known as the common ratio, and one need only divide the term by the same common ratio to determine the previous term in the sequence.
There are infinite and finite geometric sequences. The formula for the same is Sn = a(1 - r^n) / (1 - r). Here Sn is the sum of the first n terms of the geometric sequence, a is the first term of the sequence, r is the common ratio between consecutive terms in the sequence and n is the number of terms in the sequence
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simplifiy the equations and show ur work
The simplest form is (-2 ±√12)/2.
What is simplification?
To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.
Here, we have
Given: x = (-4 ±√48)/4
We have to simplify the given term.
x = (-4 ±√48)/4
x = (-4 ±√12×4)/4
x =(-4 ±2√12)/4
Now, we take 2 as common and get
x = (-2 ±√12)/2
Hence, the simplest form is (-2 ±√12)/2.
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Shae will barrow $2400 at 13.5% ARP. She will pay it back over 2 years. What will her monthly payment be?
Shae's monthly payment will be approximately $114.63.
How to calculate Shae's monthly paymentFirst we can use the formula for the present value of an annuity:
P = (r * A) / (1 - (1 + r)^(-n))
where
P is the loan amount r is the monthly interest rate A is the monthly paymentn is the total number of payments (in this case, 2 years or 24 months)First, we need to convert the annual percentage rate (APR) to a monthly rate, which is done by dividing it by 12:
r = 13.5% / 12 = 0.01125
Next, we can plug in the values and solve for A:
2400 = (0.01125 * A) / (1 - (1 + 0.01125)^(-24))
Simplifying this equation, we get:
A = (0.01125 * 2400) / (1 - (1 + 0.01125)^(-24)) = 114.63
Therefore, Shae's monthly payment will be approximately $114.63.
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If the length of an aqueduct is to be 3000 meters, what will be drop at the end destination if the slope is 0.5%?
The drop at the end destination of the aqueduct would be 15 meters.
To see why, we can use the formula:
drop = slope * length
where the slope is given as 0.5% (or 0.005 as a decimal) and the length is given as 3000 meters.
So,
drop = 0.005 * 3000 = 15
Therefore, the drop at the end destination of the aqueduct would be 15 meters.
given F (-5, -7), G (-4,-4), H (8,3), and I (10,y). find y such that fg hi
Therefore , the solution of the given problem of equation comes out to be y can be either 3 +√(6) or 3 -√(6) for FG to be equal to HI.
What is an equation?In arithmetic equations, the similar symbol (=) is used to denote equivalence between two statements. It is demonstrated that utilising mathematical methods, which have acted as manifestations of reality, it is feasible to compare different numerical factors. The equal sign, for instance, splits the number 12 and even the answer y + 6 = 12 into two separate parts. One can compute how many characters are already present on either end of this symbol. Contradictory symbol meanings are common.
Here,
To find y such that FG = HI, we need to first calculate FG and HI and then set them equal to each other.
The distance formula can be used to calculate the distance between two points:
Distance between F and G:
FG = √(((-4) - (-5))² + ((-4) - (-7))²)
FG = √(1² + 3²)
FG = √(10)
Distance between H and I:
HI = √((y - 3)² + (10 - 8)²)
HI = √((y - 3)² + 4)
Now we set FG equal to HI:
√(10) = √((y - 3)² + 4)
10 = (y - 3)² + 4
6 = (y - 3)²
y - 3 = ±√(6)
y = 3 ±√(6)
Therefore, y can be either 3 +√(6) or 3 -√(6) for FG to be equal to HI.
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ssume the weight of a randomly chosen american passenger car is a uniformly distributed random variable ranging from 1,749 pounds to 4,039 pounds. (a) what is the mean weight of a randomly chosen vehicle?
The mean weight of a randomly chosen vehicle is 3500 pounds.
What is Z-score?A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean.
We are given that the weight of a randomly chosen american passenger car is a uniformly distributed random variable ranging from 1,749 pounds to 4,039 pounds.
Let X= weight of the passenger car
a/q, X is u(1,749, 4,039)
we know that mean= a+b/2
so a=1,749, b=4,039
hence, mean=1,749 +4,039/2
mean=3500 pounds
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a measurable part of a line consisting of two endpoints is called___
Answer:
Line Segment
Step-by-step explanation:
Two supplementary angles differ by 34. Find the angles
107+73 = 180
107-73 = 34
========================================================
Explanation
Rule: Supplementary angles always add to 180 degrees.
x+y = 180 is one equation to set upx-y = 34 is the other equation since the angles differ by 34 degrees. It's implied here that x > y.This is our system of equations.
[tex]\begin{cases}x+y = 180\\x-y = 34\\\end{cases}[/tex]
Add the equations straight down.
x+x = 2xy+(-y) = 0y = 0, so the variable y goes away180+34 = 214After the y terms go away, we have this new equation: 2x = 214 which solves to x = 107 after dividing both sides by 2.
Then use this x value to find y
x+y = 180
107+y = 180
y = 180-107
y = 73
Or you could say
x-y = 34
107-y = 34
-y = 34-107
-y = -73
y = 73
Either way, we get the same y value each time. This helps confirm the answer.
Another way to confirm the answer is shown in the next section below.
---------------------
Check:
x+y = 180
107+73 = 180
180 = 180 .... confirms the 1st equation
x-y = 34
107-73 = 34
34 = 34 ... the other equation is confirmed.
In short,
107+73 = 180107-73 = 348 6 4 2 ... next three integers
you need to subtract 2
select the correct answer.
a circle has a radius of 6 inches and central angle of 60°. what is the measure of the arc length associated with this angle?
3pi
2pi
pi
6pi inches
Answer:
[tex]2\pi[/tex] inches
Option B
Step-by-step explanation:
The arc length is proportional to the central angle
If L is the arc length and θ is the central angle in degrees
[tex]L = \dfrac{\theta}{360} \times C[/tex]
where C is the circumference of the circle
Given radius r = 6 inches, C = 2πr = 2π·6 = 12π
θ = 60°
So
[tex]L = \dfrac{60}{360} \times 12\pi\\\\= \dfrac{1}{6} \times 12\pi\\\\= 2\pi\;inches[/tex]
4
32
1
54321₁ 1 2 3 45
2+
3+
- 6
x
What is the equation of the graphed line written in
standard form?
3x + y = -5
x+3y=-5
3x - 5y = -15
5x-3y = 15
The procedure to obtain the equation of the graphed line is presented in this answer.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when the graph touches/crosses the y-axis.The standard definition of a linear function is given as follows:
mx - y = -b.
To obtain the intercept b, you must observe the value of y when x = 0, which is the value of y when the graph of the function touches the y-axis.
To obtain the slope, you must take two points, and then calculate the rate of change between the two points.
Suppose that the points are (a,b) and (c,d), then the slope is given as follows:
m = (d - b)/(c - a).
In case the slope is fractional, you should multiply the entire equation by the denominator of the fraction all the coefficients of the standard form of the equation are integers.
Missing InformationThe problem is incomplete, hence the general procedure to obtain the equation of the line is presented.
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how many g cm3 is equal to kg m3?
We can convert the unit kg/m ³ to g/cm³ by using the formula Kg/m³ = 10⁻³ g/cm³.
We are provided with the unit kg/m ³ that means Kilograms per meter cube.
We have to covert it into g/cm³.
Now, we know, from the standard conversion rates that one kilograms is equal to 1000 grams and one meter cube is roughly equal to 10⁶ centimeter cubes.
So, if we want to do the unit conversion, we should write,
= g/cm³
= 1000/1000000 g/cm³
Kg/m³ = 10⁻³ g/cm³.
Now, the above mentioned relation is our formula for the conversion of the two unit.
So, now we can write that, one kilograms per meter cube is equal to 10⁻³ grams per centimeter cubes.
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can you please help me
Answer:
I don't really understand geo but if this is proof so u have to see if there is anything parallel perpendicular
what is the difference between the desired value of a variable and the controlled (actual) value?
The desired value is the target or goal for the variable, while the controlled value is the actual or measured value.
The difference between the desired value of a variable and the controlled (actual) value is known as the error or deviation. It addresses the sum by which the actual value varies from the desired value, and is normally utilized as criticism in control frameworks to change the framework yield.
The objective of a control framework is to limit this mistake and bring the actual value as close as conceivable to the desired value. The mistake can be positive (assuming the actual value is more noteworthy than the desired value), negative (in the event that the actual value is not exactly the desired value), or zero (in the event that the actual value equivalents the desired value).
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solve for x 4(x + 4) + 2x = 52
Answer:
x = 6Step-by-step explanation:
solve for x 4(x + 4) + 2x = 524(x + 4) + 2x = 52
4x + 16 + 2x = 52
6x = 52 - 16
6x = 36
x = 36 : 6
x = 6
Answer:
[tex] \sf \: x = 6[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ 4(x + 4) + 2x = 52
Then the value of x will be,
→ 4(x + 4) + 2x = 52
→ 4x + 16 + 2x = 52
→ 6x + 16 = 52
→ 6x = 52 - 16
→ 6x = 36
→ x = 36 ÷ 6
→ [ x = 6 ]
Hence, the value of x is 6.
What is the conversion of 5kg in pounds?
The conversion of 5kg in pounds is 11.0231 pounds (rounded to four decimal places).
A kilogram is greater than a pound. I know that a kg is greater than a lb because of something called conversion factors.
Put very simply, a conversion factor is a number that can be used to change one set of units to another, by multiplying or dividing it. So when we need to convert 5 kilograms into pounds, we use a conversion factor to get the answer.
The conversion factor for kg to lb is:
1 kg = 2.2046244201838 lb
Now that we know what the conversion factor is, we can easily calculate the conversion of 5 kg to lb by multiplying 2.2046244201838 by the number of kilograms we have, which is 5.
5 x 2.2046244201838 = 11.023122100919 lb
To convert 5kg to pounds, you can use the conversion factor of 2.20462 pounds per kilogram. Multiplying 5kg by this conversion factor gives:5 kg * 2.20462 pounds/kg = 11.0231 pounds.
Therefore, 5kg is equivalent to 11.0231 pounds (rounded to four decimal places).
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Find the rate of change of a circle diameter with respect to radius. (Give your answer as a whole or exact number.) d' (n) =
The rate of change of a circle's diameter with respect to its radius is a constant value of 2.
The diameter (d) of a circle is twice the radius (r), so we can write:
d = 2r
To find the rate of change of diameter with respect to radius, we can take the derivative of both sides of this equation with respect to r using the chain rule:
d/dx [d] = d/dx [2r]
d' = 2r'
Here, d' is the derivative of diameter with respect to radius, and r' is the derivative of radius with respect to some independent variable (e.g. time).
Since r' is simply equal to 1 (because the derivative of a variable with respect to itself is always 1), we have:
d' = 2
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Two angles of a quadrilateral measure 120° and 10°. The other two angles are in a ratio of 5:18. What are the measures of those two angles?
The two angles in the ratio of 5:18 are 50° and 130° respectively. To determine this, we can use the fact that the sum of the angles in any quadrilateral is 360°.
Therefore,
120° + 10° + x + y = 360°where x and y are the two angles in the ratio of 5:18.
We can then solve for x and y by setting up the proportion
5/18 = x/360 and 18/5 = y/360and then solving for x and y.
This gives us
x = 50 and y = 130.Therefore, the two angles in the ratio of 5:18 are 50° and 130°.
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Type the correct answer in each box. Use numerals instead of words. 7 1/4 The expression above can also be written in the form b√a
For this expression, a =. and b =.
The radical form of the exponential expression is given as follows:
[tex]\sqrt[4]{7}[/tex]
Hence the values of a and b are given as follows:
a = 7, b = 4.
How to obtain the radical form of each expression?The general format of the exponential expression is given as follows:
[tex]a^{\frac{n}{m}}[/tex]
To obtain the radical form, we have that:
a is the radicand.n is the exponent.m is the root.Hence:
[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]
Meaning that the equivalence for this problem is given as follows:
[tex]7^{\frac{1}{4}} = \sqrt[4]{7}[/tex]
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Will mark BRAINLIEST
The surface area to volume ratio is written as 6x squared : x cubed
Where x >0
What value of x would make the ratio 1:1
Answer:
The value of x would make the ratio 1:1 is 6.
Step-by-step explanation:
The given ratio is:
Surface Area : Volume = 6x^2 : x^3
To find the value of x that makes this ratio 1:1, we need to set the two parts of the ratio equal to each other and solve for x:
6x^2 = x^3
Divide both sides by x^2 to obtain:
6 = x
Therefore, the value of x that makes the ratio 1:1 is x = 6.
A random sample of 12 four-year-old red pine trees was selected and the diameter (in inches) of each tree's main stem was measured.
The resulting observations are as follows: 11.3, 10.7, 12.4, 15.2, 10.1, 12.1, 16.2, 10.5, 11.4, 11.0, 10.7, and 12.0
Find the point estimate that can be used to estimate the true population mean.
s = 3.24
X= 11.97
X= 1.73
S = 14.02
The point estimate that can be used to estimate the true mean population is 11.97 inches.
To find the point estimate that can be used to estimate the true population mean, we need to take the sample mean of the given observations. The formula for the sample mean is:
Mod(X)= (Σx) / n
where Mod(X) is the sample mean, Σx is the sum of all the observations, and n is the size.
Using the given observations, we can calculate the sample mean as follows:
Mod(X) = (11.3 + 10.7 + 12.4 + 15.2 + 10.1 + 12.1 + 16.2 + 10.5 + 11.4 + 11.0 + 10.7 + 12.0) / 12
Mod(X) = 11.97
Therefore, the point estimate that can be used to estimate the true mean population is 11.97 inches.
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bryan is performing data entry for an insurance company by taking handwritten records and entering them into the database. thus far, 15.6% of the handwritten records have had missing data that prevented them from being entered into the database. if bryan takes 10 handwritten records, what is the probability that at most three records will be incomplete? use a ti-83, ti-83 plus, or ti-84 calculator to find the probability. round your answer to three decimal places.
The probability that at most three records will be incomplete is approximately 0.650 (rounded to three decimal places).
What is Binomial Distribution ?
The binomial distribution is the discrete probability distribution used in probability theory and statistics that only allows for Success or Failure as the possible outcomes of an experiment.
This is a binomial distribution problem with n=10 and p=0.156. Let X be the number of incomplete records. We need to find P(X ≤ 3).
Using a TI-83, TI-83 Plus, or TI-84 calculator, we can use the binomial cumulative distribution function (binomcdf) to find this probability:
binomcdf(10, 0.156, 3) ≈ 0.650
Therefore, the probability that at most three records will be incomplete is approximately 0.650 (rounded to three decimal places).
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I need to put this the right way cause it’s wrong. help
WRONG WAY
3(2n-7)=9
6n - 7 = 27
+7 +7
6n = 34
6
6
n =
17
3
The solution for n of the expression in this problem is given as follows:
n = 5.
What is the distributive property?With the application of the distributive property, the outer term multiplies each of the inner terms of the expression. If possible, these inner terms than can be added or subtracted combining the like terms.
The mistake in the solution was applying the distributive property to 3(2n - 7), as 3 has to multiply both terms, 2n and -7, hence:
3(2n - 7) = 6n - 21.
Thus the solution to the expression is obtained as follows:
6n - 21 = 9
6n = 30
n = 30/6
n = 5.
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It is crucial you show working out. Try your best to make it correctly & smoothly as possible. 25 pts
Answer:
The range is (7, 11)
Step-by-step explanation:
domain is x
range is y
so when you graph it, it's from the bottom 7 to 11
so, (7, 11)