Calculate the result of applying a reflection across the x-axis to the vector [3 -4]
A. [3 4]
B. [-3 -4]
C. [-3 4]
D. [-4 3]
![Calculate The Result Of Applying A Reflection Across The X-axis To The Vector [3 -4]A. [3 4]B. [-3 -4]C.](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/O01aRRbDsf2wwmtQfySvJQHTPUzLvKBg.png)
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The Department of Health plans to test the lead level in a public park. The park will be closed if the average lead level exceeds the allowed limit of 400 parts/million, otherwise, the park will be kept open. The department conducts the test using soil samples gathered at randomly selected locations in the park. You work for the Department of Health and your concern is for public safety and overall health of communities In this situation, would you make alpha or beta as low as possible and why? Beta. This type of error would be that when the test was conducted, it indicated that the lead levels exceeded 400 parts/million, but it really didn't and the park was determined to be unsafe when it really wasn't. Alpha. This type of error would be that when the test was conducted, it indicated that the lead levels exceeded 400 parts/million, but it really didn't and the park was determined to be unsafe when it really wasn't. Alpha. This type of error would be that when the test was conducted, it indicated that the lead levels didn't exceed 400 parts/million, but it really did and the park was left open when it really wasn't. Beta. This type of error would be that when the test was conducted, it indicated that the lead levels didn't exceed 400 parts/million, but it really did and the park was left open when it really wasn't safe.
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The correct answer is Beta. In this case, it is more important to make the Beta error as low as possible.
This is due to the Beta error being a false negative, which would suggest that the lead levels did not go above the permitted limit even though they did.
As a result, the park would continue to be open and the general public would be exposed to a potentially dangerous situation.
On the other side, a false positive (also known as an Alpha error) would cause the park to be closed without a need and would prevent the public from accessing a secure park.
Making the Beta error as small as feasible is therefore more crucial in order to protect the public from unwarranted dangers.
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a die is a specialized tool used in manufacturing industries to cut or shape material mostly using a press. products made with dies range from simple paper clips to complex pieces used in advanced technology. in a study of a particular wafer inspection process, 335 dies were examined by an inspection probe and 169 of these passed inspection. what is the estimated proportion of wafers that passed inspection? (round your answers to three decimal places.) 0.504 assuming a stable process, calculate a 95% confidence interval for the proportion of all dies that pass the probe. (round your answers to three decimal places.)
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Answer:
Step-by-step explanation:
Solution : Given that, n = 363 x = 171 = x / n =171 / 363 = 0.471 1 - = 1 - 0.471 = 0.529
Which of the following lines would be the best fit for the data points plotted in the scatter plot below?
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The line of the best fit for the data points plotted in the scatter plot is y = -0.88x + 8
How to determine the line of the best fit for the data points plotted in the scatter plot?From the question, we have the following parameters that can be used in our computation:
The graph
Using the line of the best fit, we have"
(x, y) = (8, 1) and (0, 8)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 8
Using the points, we have
1 = 8m + 8
This gives
m = -0.88
So, we have
y = -0.88x + 8
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.Part 1:
Dependant Variable : Inflation in Canada (2010-2020)
Independent Variables:
1. Unemployment rates in Canada (2010-2020)
2. Import of goods (2010-2020)
Explanation for chosen Variables:
As inflation is an extremely hot topic at the moment, I decided to choose it as my
dependant variable, curious to see what some of the prime causes are and how they
affect inflation. Due to the laws of supply and demand, the less goods being produced/
imported, naturally, the less supply of goods there will be. Since the demand for goods is
fairly stable, the main cause for inflation is lack of goods. For this reason, I chose as my
two independent variables: Unemployment rates and Import of goods.
Section I: one-variable measures with graphs and distributions
Describe each of the 3 of your varables (two independent and one dependent) by:
calculating and making reference to the measures of central tendency (definition: mean, median and modal interval);
analyzing the spread (definition: IQR with Q1 and Q3, range and standard deviation); and
creating a histogram and box plots
Describe the distribution (definition: left or right skewed, normal, uniform, bimodal, etc.) of your data as well
For each of the variables, describe the meaning of each of the measures as you state what they are.
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The range of the import of goods is 13050.0 million CAD, IQR is 7869.75, and standard deviation is 2485.49. The distribution of data is moderately left-skewed.
Inflation in Canada (2010-2020), Unemployment rates in Canada (2010-2020), Import of goods (2010-2020) are the three variables under discussion.
The given three variables can be discussed as follows:Inflation in Canada (2010-2020): It is the dependent variable under discussion. The mean of the inflation in Canada (2010-2020) is 1.41%, the median is 1.32%, and the mode is 0.9%. The range of inflation is 4.96%, IQR is 0.61, and standard deviation is 1.28.
The distribution of data is moderately right-skewed.Unemployment rates in Canada (2010-2020): It is the independent variable. The mean of unemployment rates in Canada (2010-2020) is 7.53%, the median is 7.44%, and the mode is 7.4%.
The range of unemployment is 4.01%, IQR is 1.63, and standard deviation is 1.03. The distribution of data is almost normally distributed.Import of goods (2010-2020): It is also an independent variable.
The mean of the import of goods (2010-2020) is 41803.4 million CAD, the median is 40223.0 million CAD, and the mode is 40106.0 million CAD.
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a diamond ring was purchased ten years ago for 300. the value of the ring increased by 7% each year. what is the value of the ring today
Answers
Answer:
Below
Step-by-step explanation:
Value will be original value * ( 1 + i)^n i = decimal annual interest
n = years
Value = 300 ( 1 + .07)^10 = 590.15 (dollars ?)
Determine the area under the standard normal curve that lies to the left of (a) Z=-0.74, (b) Z=1.51, (c) Z=0.86, and (d) Z= -1.67
(a) The area to the left of 2=-0.74 is
(Round to four decimal places as needed.
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The area under the standard normal curve to the left of the given Z scores can be determined using a standard normal distribution table or a calculator. The values for the given Z scores are -0.2314, 0.9357, 0.8023, and 0.0475, respectively.
Given: Z values = -0.74, 1.51, 0.86, and -1.67
The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.Using a standard normal distribution table or calculator, we can find the area to the left of each of these Z scores.
(a) Z = -0.74Using the standard normal distribution table or calculator, we can find that the area to the left of Z = -0.74 is 0.2314.
(b) Z = 1.51Using the standard normal distribution table or calculator, we can find that the area to the left of Z = 1.51 is 0.9357.
(c) Z = 0.86Using the standard normal distribution table or calculator, we can find that the area to the left of Z = 0.86 is 0.8023.
(d) Z = -1.67Using the standard normal distribution table or calculator, we can find that the area to the left of Z = -1.67 is 0.0475
The area under the standard normal curve is a common concept in statistics that involves the use of a standard normal distribution table or calculator.
This concept is used to determine the probability of a given value occurring within a normal distribution. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.
Using a standard normal distribution table or calculator, we can find the area to the left of a given Z score. The area to the left of a Z score represents the probability that a value is less than or equal to the given Z score.
For example, if the area to the left of a Z score of 1.5 is 0.9332, then the probability that a value is less than or equal to 1.5 is 0.9332.
To determine the area under the standard normal curve that lies to the left of a given Z score, we need to find the corresponding area in the standard normal distribution table or calculator.
For example, if we want to find the area to the left of a Z score of -0.74, we can use the standard normal distribution table or calculator to find that the area is 0.2314.
Similarly, we can find the area to the left of Z scores of 1.51, 0.86, and -1.67 by using the standard normal distribution table or calculator.
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Help! Idk NOT know this will give crown
Answers
Answer:
40
Step-by-step explanation:
the triangle with the missing lenght is being multiplied by 8. 5 times 8 is 40. have a good day
What is the slope of y -4
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The slope would be Zero.
on a graph the line would be horizontal.
Horizontal lines are zero and vertical ones are undefined.
Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
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The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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Determine the solutions of the equation:
|1/3x + 9| - 3 = 21
Answers
Step-by-step explanation:
21+3=24
1/3x+9=24
24-9=13
1/3x=13
13×1=13
3x=13
13/3=4.33
x=4.33
I need help like asap !!!
only numbers and decimal points
Answers
Answer:
c = 11.46 yd
Step-by-step explanation:
Formula we use,
→ (AC)² = (BC)² + (AB)²
Now the value of a will be,
→ c² = (8.1)² + (8.1)²
→ c² = 65.61 + 65.61
→ c² = 131.22
→ c = √131.22
→ [ c = 11.46 yd ]
Hence, value of c is 11.46 yd.
Morgan just accepted a job at a new company where she will make an annual salary of $46000. Morgan was told that for each year she stays with the company, she will be given a salary raise of $4000. How much would Morgan make as a salary after 9 years working for the company? What would be her salary after t years?
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Answer: $82,000
Step-by-step explanation:
4000 multiplied by 9 equals $36000. Add 36000 to 46000 and you get $82000.
Answer:
for those that need the answer to the second step the answer is 4000t+46000.
Step-by-step explanation:
Write a variable expression that represents the following word phrase: three more than two times the difference of x and one. Please help
Answers
Answer:
2(x-1)+3
Step-by-step explanation:
Lets solve it
\(\\ \rm\Rrightarrow 2(x-1)+3\)
\(\\ \rm\Rrightarrow 2x-2+3\)
\(\\ \rm\Rrightarrow 2x+1\)
Answer:
\(3 \: more \: than \: means \: add \: 3 \\ then \: 2(x - 1) + 3 \\ = 2x - 2 + 3 \\ =2x + 1 \\ thank \: you\)
1.
(04.02 LC)
Which of the following is a common characteristic of a binomial distribution? (4 points)
There are more than two possible outcomes.
The probability of success is the same in all trials.
There are infinitely many observations.
You should perform x trials until you observe a success.
Each trial is dependent on the previous trial.
Answer: The probability of success is the same in all trials.
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The probability of success, p, is the same for each trial. Each outcome is either a success (P) or a failure (Q). The correct option is A.
What is the independent probability?Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes.
You should perform x trials until you observe a success.
We have given that,
There are exactly two possible outcomes success and failure.
We have to determine the following is NOT a common characteristic of a binomial distribution.
By process of elimination:-
A binomial experiment is a statistical experiment that must meet certain requirements
All trials are independent.
There are a fixed number of n trials.
The probability of success, p, is the same for each trial.
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find the recurrence relation for power series solution of the differential equation: y′′ (1 x)y=0
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Main Answer:The recurrence relation for the power series solution of the given differential equation is: a_(n+2) = a_n / (n+2)
Supporting Question and Answer:
How can we find the recurrence relation for the power series solution of a differential equation?
To find the recurrence relation for the power series solution of a differential equation, we can assume the solution can be expressed as a power series and substitute it into the differential equation. By equating the coefficients of like powers of x to zero, we can derive the recurrence relation for the coefficients of the power series. This recurrence relation allows us to express the coefficients in terms of previous coefficients, providing a systematic way to compute the coefficients of the power series solution.
Body of the Solution: To find the recurrence relation for the power series solution of the differential equation y′′(1 - x)y = 0, we can assume that the solution can be expressed as a power series:
y(x) = ∑(n=0)^(∞) a_n x^n
First, to find the first and second derivatives of y(x):
y'(x) = ∑(n=1)^(∞) na_nx^(n-1)
=∑(n=0)^(∞) (n+1)×a_(n+1)×(x)^n
y''(x) =∑(n=2)^(∞) n(n-1)a_nx^(n-2)
= ∑(n=0)^(∞) (n+2)(n+1)×a_(n+2)×(x)^n
Now, substitute these expressions into the differential equation:
∑(n=0)^(∞) (n+2)(n+1)×a_(n+2)×(x)^n× (1 - x) × ∑(n=0)^(∞) a_n x^n = 0
Expand and collect terms:
∑(n=0)^(∞) [(n+2)(n+1)×a_(n+2) - (n+1)×a_n] ×( x)^n - ∑(n=0)^(∞) (n+2)(n+1)×a_(n+2)×(x)^(n+1) = 0
Now, equating the coefficients of like powers of x to zero:
For n = 0:
[(2)(1)×a_2 - (1)×a_0] = 0
a_2 = a_0
For n ≥ 1:
[(n+2)(n+1)×a_(n+2) - (n+1)×a_n] - (n+2)(n+1)×a_(n+2) = 0
a_(n+2) = (n+1)×a_n / ((n+2)(n+1)) = a_n / (n+2)
Final Answer: Hence, the recurrence relation for the power series solution of the given differential equation is:
a_(n+2) = a_n / (n+2);where a_0 is a constant representing the coefficient of x^0 in the power series solution.
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A local game show has participants randomly select containers, some of which have prizes in them. There are 30 containers total and only five prizes. Each prize obtained raises the overall level of cash the contestant wins, with the grand prize given only to a contestant that finds all five prizes. If a contestant is allowed to make eight selections, what is the probability that he or she will win the grand prize?
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The probability of a contestant winning the grand prize after making eight selections is approximately 0.000181.
The probability of finding one prize in one selection is 5/30, as there are five prizes and 30 containers in total. After one prize has been found, there will be 4 prizes and 29 containers left, so the probability of finding another prize in the second selection is 4/29.
Similarly, the probability of finding a third prize in the third selection is 3/28, and so on. To find the probability of winning the grand prize, we need to multiply these probabilities together:
= \(\left(\frac{5}{30}\right)\left(\frac{4}{29}\right)\left(\frac{3}{28}\right)\left(\frac{2}{27}\right)\left(\frac{1}{26}\right)\)
= 0.000181
Therefore, the probability of a contestant winning the grand prize after making eight selections is approximately 0.000181, or 0.0181%. This is a very low probability, as the contestant only has a 1 in 5517 chance of winning the grand prize.
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what is the measure of BCA?
Answers
Answer:
The answer is 45 degrees
I really need help with my math work. Any help?
Answers
Answer:
19
Step-by-step explanation:
1. Subtract 38 from 90; you’ll get 42
2. Divide 52÷2, and you’ll get 26
Your answer is x=26
pls solve!
inrnorno34nfp3mpfn3ofkp4fof34f3
Answers
Answer:
jzsjdjsndndjddjdbfhfbbfbfhhdhcx0
Step-by-step explanation:
hello hi
hi bye
Answer:
\( m\angle CBD = 35\degree \)
\( m\angle DBE = 92\degree \)
Step-by-step explanation:
\( m\angle CBD = m\angle FBG\)
(Vertical angles)
\( \because m\angle FBG = 35\degree \)
\( \therefore m\angle CBD = 35\degree \)
\( m\angle DBE +m\angle ABD= 180\degree \)
(Linear pair angles)
\( m\angle DBE +m\angle CBD + m\angle ABC = 180\degree \)
\( m\angle DBE + 35\degree + 53\degree = 180\degree \)
\( m\angle DBE + 88\degree = 180\degree \)
\(m\angle DBE = 180\degree -88\degree \)
\( m\angle DBE = 92\degree \)
Need help with this fast! Thank you
Answers
Answer:
-3/2
Step-by-step explanation:
slope= rise/run = -60/40 = -6/4 = -3/2
Find the measure of x
Answers
Answer:
x=3.24
Step-by-step explanation:
cos(29)=x/3.7
x=3.7 cos(29)
x=3.24
Hope it helps!
find the x !
please hurry! Thank you!
Answers
Step-by-step explanation:
2x+98=180° (angles in straight line )
2x=180-98
x=2/2
x=1
Answer:
x = 41
Step-by-step explanation:
the 2 angles are adjacent and sum to 180° , that is
2x + 98 = 180 ( subtract 98 from both sides )
2x = 82 ( divide both sides by 2 )
x = 41
A radio tower has a 46-foot shadow cast by the sun. If the angle from the tip of the shadow to the top of the tower is 82 degrees , what is the height of the radio tower? Roundyour solution to four decimal places.
Answers
The height of the radio tower is 327.3070 feet.
EXPLANATION
Let's first sketch the problem.
From the sketch above, adjacent = 46 θ=82
opposite = h (height of the radio tower.
Using the trigonometric ratio,
\(\tan \theta=\frac{\text{opposite}}{\text{adjacent}}\)\(\tan 82=\frac{h}{46}\)Cross-multiply
\(h=46\times\tan 82\)h ≈ 327.3070 feet.
Therefore, the height of the radio tower is 327.3070 feet.
what fraction is equivalent to 1/8??
Answers
Answer:
2/16
5/40
Step-by-step explanation:
Laura drank 1/3 quart of milk with breakfast, 1/4 quart of milk with lunch, and 1/6 quart of milk with dinner. How much milk did she drink altogether?
Answers
Answer:
9/16 quarts of milk
Step-by-step explanation:
1/3 + 1/4 + 1/6
8/24 + 6/24 + 4/24
18/24 = 9/16 qts.
Your welcome!
Kayden Kohl
8th Grade Student
Which quadratic equation defines the function that has zeros at -8 and 6?
a. x^2 + 2x - 48 = 0
b. x^2 - 2x - 48 = 0
c. x^2 + 2x + 48 = 0
d. x^2 - 2x + 48 = 0
Answers
I need help, i don’t understand if
Answers
Answer:
(6,6)
Step-by-step explanation:
Hope this helps!
What is the binomial probability formula used for?
Answers
The binomial probability formula is used to calculate the probability of a specific number of successes in a fixed number of independent trials, where each trial can only result in success or failure. It is used to model situations where there are only two possible outcomes for each trial, and where the trials are independent and identically distributed.
The formula for binomial probability is:
\(P(x) = (n choose x) * p^x * (1 - p)^{n-x}\\\)
where P(x) is the probability of x successes in n trials, p is the probability of success on each trial, (n choose x) is the binomial coefficient which gives the number of ways to choose x successes from n trials, and (1 - p) is the probability of failure on each trial.
The binomial probability formula can be used in a variety of applications, such as:
Predicting the probability of a certain number of defective products in a production runEstimating the likelihood of a certain number of people out of a sample having a particular characteristicAnalyzing the probability of winning a certain number of games in a sports seasonFor more questions on Binomial Probability
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Given f(x) = 8 — x/6 evaluate f(66). Leave your answer in fraction form.
Answers
Answer:
f(66) = -3
Step-by-step explanation:
f(x) = 8 - x/6 Substitute 66 for the vale of x and solve
f(66) = 8 - 66/6
f(66) = 8 - 11
f(66) = -3
(x^2-5)(x+3)+(x+4)(x-x^2)
Answers
Answer:
-x-15
Step-by-step explanation:
Expand using the FOIL Method.
add me on Discord for step by step pls
\(\implies {\blue {\boxed {\boxed {\purple {\sf {-(x+15)}}}}}}\)
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)
➺\(\:( {x}^{2} - 5)(x + 3) + (x + 4)(x - {x}^{2} )\)
➺\( \: {x}^{2} (x + 3) - 5(x + 3) + x(x - {x}^{2} ) + 4(x - {x}^{2} )\)
➺\( \: {x}^{3} + 3 {x}^{2} - 5x - 15 + {x}^{2} - {x}^{3} + 4x - 4 {x}^{2} \)
Combining like terms, we have
➺\( \: {x}^{3} - {x}^{3} + 3 {x}^{2} + {x}^{2} - 4 {x}^{2} - 5x + 4x - 15\)
➺\( \: - x - 15\)
➺\(\: - (x + 15)\)
\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)