The required value of 112 kilograms into pounds using standard conversion relation is equal to 112 kilograms = ( 246. 92 ) pounds ( round up to two decimal places )
Units pounds and kilograms are used to measure the mass of a given things.One kilograms is equal to 2.20462 pounds.
We need to convert 112 kilograms into pounds :
This implies :
⇒ 112 kilograms = ( 112 × 2.20462 ) pounds
⇒ 112 kilograms = ( 246.91744 ) pounds
⇒ 112 kilograms = ( 246. 92 ) pounds ( round up to two decimal places )
Therefore, the converting value of kilogram to pounds is given by :
112 kilograms = ( 246. 92 ) pounds ( round up to two decimal places ) .
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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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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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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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Round 0.002391 to 2 significant figures
To round 0.002391 to 2 significant figures, we need to look at the digits after the first two significant digits (which are 2 and 3 in this case).
The digit in the third decimal place is 2, which is less than 5. Therefore, we leave the second significant digit (3) as it is, and we drop all the digits after that.
So, rounding 0.002391 to 2 significant figures, we get:
0.0024
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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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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What is a 6 sided shape called?
Answer:
A 6-sided shape is a hexagon.
what is chi square distribution table
A chi-square distribution table is a table that lists critical values for the chi-square distribution.
The chi-square distribution is a probability distribution that is used in statistical hypothesis testing to test whether a set of observed data is consistent with a specified theoretical distribution.
The table is used to find the probability that the chi-square statistic computed from the data is greater than or equal to a given critical value. The critical values depend on the degrees of freedom (df), which are determined by the number of categories in the data.
The chi-square distribution table lists the critical values for various degrees of freedom and levels of significance. For each level of significance (e.g., 0.05 or 0.01),
The table provides the critical value for each degree of freedom. To use the table, you need to determine the degrees of freedom for your data and then find the appropriate critical value for the desired level of significance.
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FILL IN THE BLANK. ______- ______ regression makes the sum of the squared prediction errors as small as possible. (enter your answer as two words with a space in between. do not use a comma or a dash in your answer.)
Least squares regression makes the sum of the squared prediction errors as small as possible.
By minimizing the sum of the squared variances among the predicted values of the dependent variable and the actual values, least squares regression is a technique used to determine the line or curve that best fits the connection between two variables. A measure of how well a regression line or curve matches the observed data is the sum of squared prediction errors.
It is determined by adding up the squared discrepancies between each observation's actual and anticipated values for the dependent variable. Finding the line or curve that minimises this sum of squared prediction errors is the objective of least squares regression. The least squares regression line offers the best estimate of the relationship among two variables under consideration by minimising the sum of squared prediction errors. So, because it can aid in locating trends, patterns, and connections between variables in a dataset, least squares regression is frequently employed in statistical modelling and data analysis.
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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!!!
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+
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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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A gem is cut in the shape of two square pyramids that are joined at their base. The length of each side of the base is 6cm and the height of each pyramid is 4cm. Determine the surface area of the composite solid. (A)72cm2 (B)87cm2 C)103cm2 D)120cm2
The solution is, pyramid's volume is 96 cm^3.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
from the given information we get,
So we know that the bar edge length is 8 cm (6+2) and the height is 6 cm....
And a pyramid's volume is 1/3 of a prism's volume.
If the base is square and both sides are 6 cm, the area is 36 cm^2.
Then you multiply that area by the height: 288 cm^3.
BUT you have divide that by 3,
because a pyramid's volume is 1/3 of a prism's volume:
288/3= 96 cm^3.
Answer: 96 cm^3
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What will be the value stored in the variable x after the execution of the following code snippet?
int a = 10;
int b = 20;
int c = 2;
int x = b / a /*c*/;
a) 1
b) 2
c) 4
d) The code has a syntax error
The value stored in the variable x after the execution of the following code snippet will be b) 2.
The right-click context menu option or a combination of hotkeys can be used to add code snippets, which are compact chunks of reusable code, to a code file. Although try-finally and if-else blocks, for example, are frequently used code blocks found in code snippets, you can also use them to add whole classes or methods.
Learn more about using the templates tool to create reusable emails. Applications and web pages use snippets. Snippets are made to be reusable and to add functionality, like connecting various parts of a program.
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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.
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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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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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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What is the best answer to report for (515 x 0.0025) +24.57? A. 25.858. B. 25.85.
C. 25.8575. D. 26. E. 25.9
The best answer to submit for (515 x 0.0025) + 24.57 is 25.8575.
A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts. Decimal notation is the name for the method used to represent numbers in the decimal system. The Hindu-Arabic numeral system has been expanded to include non-integer values.
To find the answer to the expression (515 x 0.0025) +24.57, we can simplify it by performing the multiplication and addition in the correct order:
(515 x 0.0025) + 24.57 = 1.2875 + 24.57 = 25.8575
Therefore, the best answer to report is C. 25.8575.
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what is chi square critical value
In statistics, the chi-square critical value is the threshold value that is used to determine whether the calculated chi-square test statistic is significant or not.
The chi-square critical value is determined based on the significance level (also known as alpha), which is the probability of rejecting the null hypothesis when it is true. The significance level is typically set at 0.05 or 0.01.
The chi-square critical value can be found using a chi-square distribution table or a statistical software program. The critical value is determined based on the degrees of freedom (df), which is the number of categories minus one.
Once the chi-square critical value is determined, it can be compared to the calculated chi-square test statistic to determine whether the test is statistically significant or not. If the calculated chi-square test statistic is larger than the critical value, we can reject the null hypothesis and conclude that there is a significant association between the variables.
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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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Please Help Me!! Will Mark Brainliest!! :)
Jeff has a sack full of marbles. Each time he picks one out, he puts it back into the sack before drawing another. In his sack there are 5 red marbles, 6 yellow marbles, and 8 blue marbles. Find the following probabilities.
c. If two marbles are drawn, what's the chance they are both the same color?
d. If two marbles are drawn, what's the chance they are NOT the same color?
The solution of the given problem of probability comes out to be P(not same color) = 236/361.
What precisely does the probability method suggest?Calculating the likelihood that a statement is true or that an event will take place is the focus of probability theory, a branch of mathematics. Any number range between 0 and 1, where 1 is frequently used to describe certainty and 0 is commonly used to denote possibility, can be used to represent chance. A probability diagram shows the likelihood that a particular event will occur.
Here,
There are three cases to consider:
Case 1: both marbles are red
Case 2: both marbles are yellow
Case 3: both marbles are blue
The probability of drawing two red marbles can be found by multiplying the probability of drawing a red marble on the first draw (5/19) by the probability of drawing a red marble on the second draw (5/19):
P(red and red) = (5/19) × (5/19) = 25/361
Similarly, the probability of drawing two yellow marbles is:
P(yellow and yellow) = (6/19) × (6/19) = 36/361
And the probability of drawing two blue marbles is:
P(blue and blue) = (8/19) × (8/19) = 64/361
So, the probability of drawing two marbles that are the same color is:
P(same color) = P(red and red) + P(yellow and yellow) + P(blue and blue)
P(same color) = (25/361) + (36/361) + (64/361)
P(same color) = 125/361
d.
There are three cases to consider:
Case 1: one marble is red and one marble is yellow
Case 2: one marble is red and one marble is blue
Case 3: one marble is yellow and one marble is blue
The probability of drawing one red marble and one yellow marble can be found by multiplying the probability of drawing a red marble on the first draw (5/19) by the probability of drawing a yellow marble on the second draw (6/19), and then multiplying by 2 (since the order of the marbles doesn't matter):
P(red and yellow) = 2 × (5/19) × (6/19) = 60/361
Similarly, the probability of drawing one red marble and one blue marble is:
P(red and blue) = 2 × (5/19) × (8/19) = 80/361
And the probability of drawing one yellow marble and one blue marble is:
P(yellow and blue) = 2 × (6/19) × (8/19) = 96/361
So, the probability of drawing two marbles that are not the same color is:
P(not same color) = P(red and yellow) + P(red and blue) + P(yellow and blue)
P(not same color) = (60/361) + (80/361) + (96/361)
P(not same color) = 236/361
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a measurable part of a line consisting of two endpoints is called___
Answer:
Line Segment
Step-by-step explanation:
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.
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.
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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Andy Mann is building a garden fence out of planks. The planks are 14 cm wide to the nearest cm. He needs to make 72m of fencing altogether, correct to the nearest metre.
How many planks does he need in order to make sure he has enough to complete the fence?
Answer:
514.2857142857
Step-by-step explanation:
14cm=0.14m
so,
no. of planks=72/0.14=514.2857142857
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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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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