\( \mathbb{ECUACION}\)
An equation is a mathematical equality between two expressions, called members and separated by the equal sign, in which known elements and unknown or unknown data appear, related through mathematical operations.Solution:
We are going to solve the equation step by step.
\( \bold{g + 60 = 6}\)
Step 1: Subtract 60 from both sides.
\( \bold{g + 60 - 60 = 6 - 60}\)
\(⟹ \bold{g = - 54}\)
----------------------------------------------------------------------------------------------
\( \bold{BRAINLYMENTALMENTE}\)
if ABC is a right-angled triangle at B, sin A + Cos C = 1, find: m (<A)
Answer:
m < A = 30 degrees.
Step-by-step explanation:
If we draw the triangle we see that:
sin A = BC/AC and cos C = BC/AC, so as sin A + cos C = 1 :
BC/AC + BC/AC = 1
Multiplying through by BC:-
2BC = AC
So sin A = BC/AC = BC / 2BC
= 1/2
- giving m < A = 30 degrees.
Two stakes are holding a small blimp in place. Stake A measures
an angle of elevation of 49° and Stake B measures an angle of
elevation of 58º. If the string attached to Stake A has a length of
148 feet, what is the length of the string attached to Stake B?
Answer: 131.7 ft
Step-by-step explanation: use 148 as side measure b, then solve for measure of side a
with two given angles and one given side, use law of sines.
a = b•sin(A)/sin(B) = 131.71071
c = b•sin(C)/sin(B) = 166.89278
if you want to find angle measures:
180-A-B
180-49-58=73
C=73
The length of the string attached to stake B is 166.3 feet.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
An angle of elevation of stake A = 49°
The length of the string attached to stake A,a = 148 feet
An angle of elevation of stake B = 58°
Let the length of the string attached to stake B be b.
Then by law of sines,
\(\frac{Sine A}{a}=\frac{Sine B}{b}\)
On substituting the above values,
⇒ \(\frac{Sine 49}{148}=\frac{Sine 58}{b}\)
⇒ \(b=\frac{(Sine 58)(148)}{Sine49}\)
⇒ \(b=\frac{(0.8480)(148)}{0.7547}\)
⇒ \(b=166.29\) ≈ \(166.3\)
Hence we can conclude that the length of the string attached to stake B is 166.3 feet.
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Find the distance between the points (6,1)and (9,6).The answer must be a whole number or a fully simplified radical expression do not round up
Answer:
d = \(\sqrt{34}\)
Step-by-step explanation:
\(d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(9-6)^2+(6-1)^2}\\d= \sqrt{(3)^2+(5)^2}\\d= \sqrt{9+25}\\d= \sqrt{34}\)
In the calculations shown, what will the units of the final answer be?
18 meters
3600 seconds
1 hour
Х
1 mile
1609 meters
second
Answer: miles over hour
Step-by-step explanation:
just cuz
Graph the line given the point (4, 3) and the slope m = − 1/3
The line passes through the point (4, 3)
The line has a slope of m=-1/3
The equation of the line can be written in the form
\(y=mx+c\)Since the slope is -1/3
Then the equation becomes
\(y=-\frac{1}{3}x+c\)Since the line passes through the point (4, 3)
Substitute x = 4, y= 3 into the equation
\(3=-\frac{1}{3}(4)+c\)Simplify the equation and solve for c
\(\begin{gathered} 9=-4+3c \\ 9+4=3c \\ 13=3c \\ c=\frac{13}{3} \end{gathered}\)Hence, the equation becomes
\(y=-\frac{1}{3}x+\frac{13}{3}\)Using an online graphing calculator.
The graph of the line is shown
What is the radius of D
A. 6 cm
B. 12 cm
C. 3 cm
D. 24 cm
Help me ASAP!
write equivalent fractions for 2 3/4+1 2/3 using a common denominator.
Answer:
3 2/3 will be 3 10/15
1 4/5 will be 1 12/15
Divide 3 into 15 and get 5; 5 x 2 = 10
Divide 5 into 15 and get 3; 3 x 4 = 12
So new equivalent fractions are 3 10/15
and 1 12/15
Step-by-step explanation:
If 3x – 2y = 6, then y = ?
Answer:
y = -3
Step-by-step explanation:
hope this helps
FMECA is a bottom-up (Hardware) or top-down (Functional) approach to risk assessment. It is inductive, or data-driven, linking elements of a failure chain as follows: Effect of Failure, Failure Mode and Causes/ Mechanisms. These elements closely resemble the modern 5 Why technique. Thus answer: To estimate reliability of software, most software prediction models use probability density function to predict, choose one Group of answer choices Mean time between failures Consensus of the team Number of failures observed in each test interval Mean time to failurel
FMECA is a bottom-up hardware approach to risk assessment. It is an inductive, or data-driven, linking elements of a failure chain as follows: Effect of Failure, Failure Mode, and Causes/Mechanisms. To estimate the reliability of software, most software prediction models use the probability density function to predict "Mean Time To Failure."
FMECA is a systematic and structured analytical methodology used to identify potential failures in a system, equipment, process, or product, and to assess the effect and probability of those failures. FMECA stands for Failure Modes, Effects, and Criticality Analysis. FMECA is similar to FMEA (Failure Modes and Effects Analysis) in that it is used to identify failure modes and assess their risk.
However, FMECA goes beyond FMEA by analyzing the criticality of each failure mode. This makes it an effective tool for identifying the most significant failure modes and prioritizing them for corrective action. A Probability Density Function (PDF) is a function that describes the likelihood of a random variable taking on a particular value.
PDF is used in software prediction models to estimate the reliability of software by predicting "Mean Time To Failure" (MTTF). MTTF is the average time between failures of a system, equipment, process, or product.
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What is 94 inches in feet ?
94 inches is equal to 7.83333 feet.
To convert inches to feet, you can use the conversion factor
1 inch = 0.08333 feet. To convert 94 inches to feet, you simply divide 94 by 12 as there are 12 inches in 1 foot, which gives you 7.83333 feet.
It's important to note that inches (in) and feet (ft) are both units of measurement for length. The inch is a unit of measurement in the imperial system, which is primarily used in the United States, while the foot is also a unit of measurement in the imperial system but it's commonly used in United States and several other countries.
When measuring length, it is essential to be aware of which unit of measurement is being used to ensure accurate conversion. Additionally, it's important to note that 94 inches is approximately equal to 7.83333 ft, but it's not exactly 7.83333 ft due to rounding and approximation in the conversion.
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Use the equation below to find T, if w=85, m= 12, and a=3.
T=w-ma
T = 3,060
X
?
Answer:
T = 49
Step-by-step explanation:
T = w - ma
w = 85
m = 12
a = 3
Plug in the corresponding numbers to the corresponding variables:
T = (85) - (12) * (3)
Remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
First, multiply, then subtract:
T = 85 - (12 * 3)
T = 85 - 36
T = 49
T = 49 is your answer.
~
PLEASE HEEEEEEEEELP ME............
Answer:What do you need help with? My name is woods245 and whatever you need help with?
Step-by-step explanation:
You report a confidence interval to your boss but she says that she wants a narrower range. SELECT ALL of the ways you can reduce the width of the confidence interval. o Increase the sample size o Decrease the sample size o Increase the confidence level o Decrease the confidence level I
o ncrease the mean o Decrease the mean
We can reduce the width of the confidence interval by increasing the sample size, reducing the confidence level and decreasing the mean (A, D, and F)
What is a confidence interval?A confidence interval is an estimate of the interval that has a specified probability of including an unknown population parameter.
The purpose of a confidence interval is to estimate the true value of the population parameter being measured, such as a mean, a standard deviation, or a proportion.
In general, a wider confidence interval indicates more uncertainty about the estimate, while a narrower confidence interval suggests more precision in the estimate.
We want narrower confidence intervals to demonstrate more precision, as this allows us to draw more reliable conclusions about population parameters.
We cannot reduce the width of the confidence interval by increasing the sample size, increasing the confidence level or increasing the mean.
Thus, the correct options are a, d, and f.
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please hurry and answer this
What is the slope between (-4.0) and (0, 2)?
Answer:
Is it -13/10 ?
Step-by-step explanation:
I'm really not sure
Solve the equation 5.5(x-3)=17+10.5 in systems of equations. How can you find your solution?
Answer:
x= 8
Step-by-step explanation:
5.5(x-3)=17+10.5
5.5x - 16.5= 27.5
5.5x= 44
x= 8
Let Y have a chi-square distribution with 32 degrees of freedom so that its variance is 64. If P (Y > c) = 0.0668, then what is the approximate value of the constant c?
The chi-square distribution of Y having 32 degrees of freedom, in a way that its variance is 64 and also P (Y > c) = 0.0668, then the approximate value of the constant c is calculated to be 2060.08.
We are aware of the fact that Y has a chi-square distribution with 32 degrees of freedom and an d has variance 64. So, the mean of Y is equal to its degrees of freedom times its variance, which can be calculated 32 x 64 = 2048.
Also the constant c can be expressed as Y0 such that P(Y > Y0) = 0.0668. Since Y is a continuous distribution, Chi-square table can be utilized to find out the value of Y0 that is related to this probability.
We can find that the critical value of chi-square with 32 degrees of freedom and a probability of 0.0668 is 44.12. Hence, Y0 can be approximated as :
Y0 ≈ mean + standard deviation x z-score
Here, z-score is the number of standard deviations distant from the mean that corresponds to the probability of 0.0668. We can find the z-score by comparing the probability in a standard normal distribution table, which gives us a z-score of approximately 1.51.
The standard deviation of Y can be found using the calculation of square root of its variance, i.e. 8. Therefore, we can insert these values to find,
Y0 ≈ 2048 + 8 x 1.51 ≈ 2060.08
So from the above calculations it can be inferred that the value of the constant c for the given chi-square distribution as per the mentioed conditions will be approximately equal to 2060.08.
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The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A. (true or false)
The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A.
The above statement is True.
Eigenvalue:
An eigenvalue is a special set of scalar values associated with the most probable system of linear equations in a matrix equation. Eigenvectors are also called eigenvalues. It is a non-zero vector which can be modified by at most its scalar factor after applying a linear transformation.
According to the Question:
If the geometric multiple of the eigenvalues is greater than or equal to 2, the linearly independent set of eigenvectors is no longer unique to the multiple as before. For example, for the diagonal matrix A=[3003], one could also choose the eigenvectors [11] and [1−1], or any pair of two linearly independent vectors.
Sometimes vectors are simply expanded to vector times matrix. If this happens, this vector is called the eigenvector of the matrix and the "stretch factor" is called the eigenvalue. Example: Given a square matrix A, λ is the eigenvalue of A, and the corresponding eigenvector x is
Ax = λx.
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Please Help
What is the relationship between RA and R'A?
The graph of QRSTU is reflected across the line y = 3 - x would be Q'R'S'T'U'.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Reflection across the y-axis is defined as reflecting a point across they = x, the x-coordinate, and y-coordinate places, the line y = -x is the coordinates (-x, y).
Since reflected across the line y = 3 - x
The line y = 3 - x reflects the QRSTU graph, which is represented by Q'R'S'T'U.
Hence, the graph of QRSTU is reflected across the line y = 3 - x would be Q'R'S'T'U'.
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Please can someone work this out please it would reallly help
Answer:
12.25 \(\leq\) x < 12.35
Step-by-step explanation:
5 is the cut off when rounding.
If a number to the right is greater than or equal 5, you round up.
If it's less than 5, you drop the number.
So 12.25 would be rounded up to 12.3
12.34 would be rounded to 12.3
How do you get the 12.25?
Subtract .05 from 12.3
How do you get 12.35?
Add .05 to 12.3.
The number in the hundredths place needs to be less than 5 to round down. That's why you use less than symbol.
Convert these values to scientific notation.
Part 1 (1 point)
log x = 11.51 ; x
= Part 2 (1 point)
log x = -8.95 ; x
=
The coefficient is a value greater than or equal to 1 but less than 10, and the power indicates the number of decimal places the decimal point should be moved
Part 1:
The value of x can be calculated using the logarithmic function. Given log x = 11.51, we can rewrite it in exponential form as x = 10^11.51. In scientific notation, this can be expressed as x = 3.548 × 10^11.
Part 2:
Similarly, for log x = -8.95, we can rewrite it in exponential form as x = 10^(-8.95). In scientific notation, this can be expressed as x = 3.125 × 10^(-9).
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As monte carlo simulation is essentially statistical sampling, the larger the number of trials used, the more precise is the result.
a. True
b. False
True, Monte Carlo simulation is used for statistical sampling where larger number of trials are used for the precise result.
Step by Step Explanation:
Monte Carlo simulation is a mathematical technique or statistical sampling which is used to predict all possible outcomes of any uncertain event.The larger the number of trials more is the accuracy as it is based on the past data to predict the future outcomes.example : For the prediction of first month sale of any new launch product you can revise more number of old data.It help to calculate probability more accurately.Therefore, it is true to have more number of trials in Monte Carlo simulation statistical sampling for precise result.
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an online used car company sells second-hand cars. for 30 randomly selected transactions, the mean price is 2900 dollars. part a) assuming a population standard deviation transaction prices of 290 dollars, obtain a 99% confidence interval for the mean price of all transactions. please carry at least three decimal places in intermediate steps. give your final answer to the nearest two decimal places.
We can say with 99% confidence that the true mean price of all transactions is between $2,799.16 and $3,000.84.
To obtain a 99% confidence interval for the mean price of all transactions, we can use the formula:
CI = ± z*(σ/√n)
Where:
= sample mean price = 2900 dollars
σ = population standard deviation = 290 dollars
n = sample size = 30
z = z-score for a 99% confidence level = 2.576 (from the standard normal distribution table)
Substituting these values into the formula, we get:
CI = 2900 ± 2.576*(290/√30)
CI = 2900 ± 100.84
CI = (2799.16, 3000.84)
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Two parallel lines are cut by a transversal as shown below.
Suppose m /_ 5 = 56 . Find m /_ 2 and m /_4.
When the parallel lines are cut by a transversal, the values for the measurement of ∠2 and ∠4 is 124° each.
What are parallel lines?
Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines in geometry. Both horizontal and vertical shapes are possible.
Examples of parallel lines can be found everywhere, including zebra crossings, rows of notebooks, and the nearby railroad tracks.
In the given diagram the parallel lines are cut by a transversal.
The measure of angle 5 is, m∠5 = 56°.
It is known that each pair of interior angles on the same side of a transversal that cuts two parallel lines are supplementary, or they add up to 180 degrees.
So, m∠5 + m∠2 = 180°
56° + m∠2 = 180°
m∠2 = 180° - 56°
m∠2 = 124°
Now, as it can be seen in the image ∠2 and ∠4 are vertically opposite angles.
So, they will be congruent or equal to each other.
So, it is obtained that -
m∠2 = m∠4
m∠4 = 124°
Therefore, the measures of angles are m∠2 = 99° and m∠4 = 99°.
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Ashley needs new batteries for the flashlights at her house. Each flashlight takes 4
batteries. Write an equation to show how the number of batteries needed, b, depends on the number of flashlights, f.
Answer: b = 4f
Step-by-step explanation:
Since every flashlight needs 4 batteries, every flashlight added (f) will be 4 more batteries needed total (b). With this information in mind, we can write the equation:
b = 4f
Answer:
b = 4f
Step-by-step explanation:
4 batteries per flashlight
Simplify (7/3 multiplied by 11/3) divided by 1/3
Answer:
25.7
Step-by-step explanation:
Hope this helps.
Answer:
25 2/3
Step-by-step explanation:
If ABCDE is reflected across the line y=-1, then reflected again across they
axis, what are the new coordinates of point B?
E.
•B
o
*C
O A. (-4,-2)
O B. (-4,-4)
O C. (6,2)
OD. (-6,-2)
Answer:
B (-4,-4)
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Since it is currently at (4,2), reflecting it across y=-1 will bring the y-coordinate down to -4. After that, reflecting it across the y-axis will flip the sign in front of the x-coordinate, so 4 to -4. Therefore, your answer is (-4,-4).
to construct a confidence interval using matched pairs, we must compute the standard deviation of the
We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.
What is the difference between standard deviation and confidence interval?The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.
According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.
Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.
The difference between the values in the matched pairs' standard deviation is calculated.
The complete question is:
To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.
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We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.
What is the difference between standard deviation and confidence interval?
The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.
According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.
Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.
The difference between the values in the matched pairs' standard deviation is calculated
To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.
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one pencil is randomly selected from my case containing three red for green to black six blue pencils find the probability of red
The probability that the selected pencil is red is 1/5
How to determine the probability?The distribution of the pencils are given as:
Red = 3
Green = 4
Black = 2
Blue = 6
When a pencil is selected, the probability that the pencil is red is:
P(Red) = Red/Total
This gives
P(Red) = 3/(3 + 4 + 2 + 6)
Evaluate the sum
P(Red) = 3/15
Simplify the quotient
P(Red) = 1/5
Hence, the probability that the selected pencil is red is 1/5
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write an equation for a parabola with a vertex of (-1, -10) and a focus of (-1, -9)
Answer:
(x + 1)² = 4(y + 10)
Step-by-step explanation:
Equation of parabola:
(x - h)² = 4a(y - k)
with vertex(h, k) and focus (h, k + a)
vertex(h, k) = (-1, -10)
⇒h = -1 and k = -10
focus (h, k + a) = (-1, -9)
⇒ k + a = -9
⇒ -10 + a = -9
⇒ a = 10 - 9
⇒ a = 1
Equation of parabola:
(x - h)² = 4a(y - k):
(x - (-1))² = 4(1)(y - (-1))
= (x + 1)² = 4(y + 10)
simplify
(8p^6)^1/3
simplifyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Answer:
\(2p^2\)
Step-by-step explanation:
Step 1: Apply the exponentiation property:
\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)
Step 2: Simplify the cube root of 8:
The cube root of 8 is 2:
\(8^\frac{1}{3} =2\)
Step 3: Simplify the cube root of \((p^6)\):
The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)
Step 4: Combine the simplified terms:
\(2 * p^2\)
So, the simplified expression is \(2p^2\).