By using the concept of reflection, it can be calculated that-
Value of x is 6 and value of y is -7
What is reflection?
Reflection is a mathematical transformation in which a mirror image of an object can be formed with respect to a line called the line of reflection.
The point is (-2, -4)
(-2, 4) is reflected across y-axis
New coordinate after reflection = (2, -4)
By the problem,
(x - 4, y + 3) = (2, -4)
x - 4 = 2
x = 2 + 4
x = 6
y + 3 = -4
y = -4 - 3
y = -7
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If we reject the null hypothesis, we conclude that: there is enough statistical evidence to infer that the alternative hypothesis is true. there is not enough statistical evidence to infer that the alternative hypothesis is true. there is enough statistical evidence to infer that the null hypothesis is true. there is not enough statistical evidence to infer that the null hypothesis is true.
If we reject the null hypothesis, we conclude that there is not enough statistical evidence to infer that the null hypothesis is true.
In hypothesis testing, the researcher makes a claim about the population and then uses a sample of the population to determine whether or not the claim is accurate. Before the sample is drawn, the degree of significance—or the predicted error—must be determined. The validity of a claim is determined by the value of a test statistic.
The researcher rejects the provided null hypothesis if the test statistic's value is significant. When the null hypothesis is rejected, there is no discernible difference between the hypothesized value and the sampled observations. If the null hypothesis is rejected, it is determined that there is insufficient statistical support to draw the conclusion that it is true.
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Simon paid $172.75 for a game system and then bought three equally-priced games. If he spent a total of $348.79, what is the price , p, of one game?
Answer:
Divide 172.75 by 348.79
Step-by-step explanation:
Answer:
58.68
Step-by-step explanation:
348.79- 172.75=176.04
176.04/3= 58.68
Please help ASAP 15 points
Answer:
B
Step-by-step explanation:
The answer is B because it tells you the letter atound triangle.
Answer:
b
Step-by-step explanation:
Determine whether each function is an example of exponential growth or decay. Then, find the y -intercept. y=0.2(3.8) x
The function represents an exponential growth and the y-intercept is (0,0.2)
How can you tell whether an exponential function is growing or deteriorating?
As the exponential's base is greater than 1, which occurs when those numbers increase, we are seeing exponential growth. When the exponential's base is between 1 and 0, and those numbers decrease, we have exponential decay.Given - y=0.2(3.8) x
For a. function, \(y = ab^{x}\)
the function represents exponential growth if a > 0 and b > 1 .
the function represents exponential decay if a > 0 and 0> b > 1.
In either case, the y-intercept is (0,a).
From the given, a = 0.2 and b = 3.8 because 2> 0 and b > 1 .
then the function represents an exponential growth and the y-intercept is (0,0.2)
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Simplify this algebraic expression completely.
6x-4(x+3)
A. 2x+ 3
B. 2x - 12
C. 2x - 3
O D. 2x + 1
Step-by-step explanation:
6x-4(x+3)
6x-4x-12
2x-12
So, option b is correct.
I hope it helped u
stay safe stay happy
What is the equation in slope-intercept form of a line that is perpendicular to y=2x+2 and passes through the point (4,3)?
(A) y=−12x+5
(B) y=−2x+2
(C) y=2x+3
(D) y=2x+5
Answer:
y = - \(\frac{1}{2}\) x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 2 ← is in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{2}\) , thus
y = - \(\frac{1}{2}\) x + c ← is the partial equation
To find c substitute (4, 3) into the partial equation
3 = - 2 + c ⇒ c = 3 + 2 = 5
y = - \(\frac{1}{2}\) x + 5 ← equation of perpendicular line
Rearrange the equation so b is the independent variable.
4a + b = -52
Answer:
The answer is a = -13 - 1/4b
Step-by-step explanation:
Look at attachment:
Hope this helps! :)
What is the slope of a line that is perpendicular to the line y=(-3/2)x-14 ?
Will give brainliest!
Answer:
\(\displaystyle m_{\text{perp}} = \frac{2}{3}\)
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
*Note:
The slope of the perpendicular line is the negative reciprocal of the given line.
Step 1: Define
Identify.
\(\displaystyle y = \frac{-3}{2}x - 14\)
Step 2: Find
[Equation] Identify variables [Slope-Intercept Form]: \(\displaystyle m = \frac{-3}{2} ,\ b = -14\)Negative reciprocate m: \(\displaystyle m_{\text{perp}} = \frac{2}{3}\)HURRY!! (52 POINTS!!)
The ages of people visiting a senior center one afternoon are recorded in the line plot.
A line plot titled Ages At Senior Center. The horizontal line is numbered in units of 5 from 60 to 115. There is one dot above 80 and 110. There are two dots above 70 and 85. There are three dots above 75.
Does the data contain an outlier? If so, explain its meaning in this situation.
A. No, there is no outlier. This means that the people were all the same age.
B. No, there is no outlier. This means that the people are all around the mean age.
C. Yes, there is an outlier at 110. This means that one person's age was 110, which is 25 years older than the next closest age.
D. Yes, there is an outlier of 110. This means that the average person at the center is 110 years old.
Answer:
C. Yes, there is an outlier at 110. This means that one person's age was 110, which is 25 years older than the next closest age.
Step-by-step explanation:
An outlier is a data point that sticks out like a sore thumb. It's so different from the rest of the data that it makes you wonder if it's a mistake or a miracle. One way to spot an outlier is to use the 1.5IQR rule, where IQR stands for interquartile range. The interquartile range is the gap between the third quartile (Q3) and the first quartile (Q1) of the data. The 1.5IQR rule says that any data point that is more than 1.5*IQR above Q3 or below Q1 is an outlier.
In this case, the first quartile (Q1) is 75, the third quartile (Q3) is 85, and the interquartile range (IQR) is 10. So, any data point that is more than 1.5*10 = 15 above 85 or below 75 is an outlier. The only data point that does this is 110, which is 25 above 85. That means 110 is an outlier.
What does this outlier mean in this situation? It means that one person who came to the senior center that afternoon was way older than the rest of the folks. The average age of the visitors was not changed by this outlier, since it was just one out of 12 data points. But, the outlier does mess up the range and the standard deviation of the data, making them bigger than they would be without the outlier.
Answer:The answer is C
Step-by-step explanation:I did the test.
The statement "P implies Q' is FALSE under which of the following conditions? Choose all that apply. a. P and Q are both true. b. P and Q are both false. c. P is true and Q is false. d. P is false and Q is true.
The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.
The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).
To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.
Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.
Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.
Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.
Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.
Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.
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In order for the data in the table to represent a linear function with a rate of change of +5, what must be the value of a?
a = 3
a = 8
a = 18
a = 33
Answer: C: A=18
Step-by-step explanation: If your are adding 5 every time the x value goes up by one, then you would add 5 to13, henceforth getting 18.
The value of a that completes the table is 18
Rate of change of a functionThe rate of change of a function is expressed in term of the slope.
In order to determine the value of a, we will use the expression below;
Slope = a - 13/4-3 = 23-13/5-3
a-13 = 10/2
a - 13 = 5
Add 13 to both sides
a =5 + 13
a = 18
Hence the value of a that completes the table is 18
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270°
13 ft
Tre and the are length of the BOLD
Answer:
13ft
Step-by-step explanation:
because that are so longer
D Given: F is the midpoint of HE F GH I DE Prove: AHFG = AEFD H G Statement Reason
Answer:
Angles in the same segment of a circle are equal
Step-by-step explanation:
if a line join two points subtends equal angles at two other points on the same side of that line segment,then the four points are concyclic
Joey's boat weighs 0.62 tons. What is he weight of the boat measured in pounds?
Answer:
The answer would be 1240 pounds. The conversion that you would make would be to multiply 0.62 by 2000.
Hope this helps, Have a wonderful day! :D
Step-by-step explanation:
What is the sum for:
(2x−6)+4(x−3)
Answer:
6x - 18
Step-by-step explanation:
2x - 6 + 4x - 12 = 6x - 18
First, distribute the 4 and then combine the like terms to get 6x - 18.
Answer:
x=-2
Step-by-step explanation: First we can multiply 4 times anything in the parenthesis to get rid of it.
(2x-6)+4(x-3)
(2x-6)+4x-12
Then we combine like terms.
(2x-6)+4x-12
6x-6-12
6x-18
Finally we divide both sides by 6.
6x-18
6x/6-18/6
x=-2
Which equation does the graph below represent?
y = 1 x
y = 4x
y = _ 1x
y = -4x
Answer:
Y=-4x
Step-by-step explanation:
Whenever you solve for slope, and the slope is 1, never write 1 in the equation. Write either -x or x. Let's take two coordinates, one which is (0, 0), which is the origin, and (1, -4). To find the slope, we insert the first coordinate and second coordinate values into the equation (Y2-Y1)/(X2-X1). We can insert these coordinates to get (-4 - 0)/(1 - 0), which simplifies to (-4)/1, which further simplifies to -4. Since the Y-intercept is zero, there is no value of B in the equation, which leaves the equation as Y=-4x
what is the most appropriate measure of spread for this data, and why? group of answer choices standard deviation, because the boxplot is skewed to the right. standard deviation, because the boxplot is bell-shaped. iqr, because the boxplot is skewed to the right. iqr, because the boxplot is bell-shaped.
The most appropriate measure of spread for this data is standard deviation, because the boxplot is skewed to the right.
The most appropriate measure of spread for this data is standard deviation. The data is represented by a boxplot, which is a graphical representation of the data that shows the median, quartiles, and range of the data. In this case, the boxplot is skewed to the right, meaning that the data is not normally distributed. When the data is not normally distributed, the standard deviation is the best measure of spread to use. Standard deviation measures the spread of data by calculating the distance between each data point and the mean, and then taking the average of these distances. This allows us to accurately measure the spread of data that is not normally distributed. Therefore, standard deviation is the most appropriate measure of spread for this data.
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ak
to
Calculate the radius of this circle.
area = 92 cm²
cm
Not drawn accurately
1 d.p.
Answer:
Step-by-step explanation:
Giving 40 points PLEASE help ASAP The ratio of the number of teachers to students in a school is 3:35. The ratio of male students to the number of female
students is 2:5. There are 500 female students. How many teachers are there?
In the box, type the answer and tell how you found it. You may also do your work on a separate sheet of paper and upload it
in the box below.
Answer: 500 female students. 2:5 ratio for males means 200 male students. 500 female plus 200 male equals 700 students total. There are three teachers for every 35 students, so 700/35 multiplied by three equals 60 teachers.
A sample of n=12 scores has a mean of M=8. What is the ΣX value for this sample?
A sample of n=15 scores has a mean of 10 and another sample of n=10 scores has a mean of 8 . If the two samples are combined, what is the mean for the combined samples?
A researcher has a sample of scores. To correct an earlier mistake the researcher adds 6 points to each score in the sample and finds the mean to be M=14.
a. What was the value for the mean before 3 points were added to each score?
b. The researcher then realizes that she instead needs to multiply each score by 4. Using the original scores, she multiplies each by 4 and finds the mean to be M=32. What was the value of the mean prior to multiplying each score by 4 points?
A sample of n=11 scores has a mean of M=22. If one score with a value of X=18 is removed from the sample, what is the value of the new sample mean?
A population of N=10 scores has a mean of μ=24. After one new score is added, the new population has a mean of μ=34. What is the value of the score that was added?
The answer is 1. The ΣX for a sample of n=12 scores with M=8 is 96, 2. The mean for combined samples of n=15 (mean=10) and n=10 (mean=8) is 9.33, 3a. The original mean before adding 6 points is 8, 3b. The original mean before multiplying scores by 4 is 8, 4. The new sample means after removing X=18 is 22.5, and 5. The score added to a population with μ=24 to achieve μ=34 is 34.
1. For any sample, we can find the sum of the scores (ΣX) by multiplying the mean by the number of scores. So in this case:ΣX = M * nΣX = 8 * 12ΣX = 96Therefore, the ΣX value for this sample is 96.
2. To find the mean of the combined samples, we can use the formula: Mean of combined samples = (n1 * mean1 + n2 * mean2) / (n1 + n2) = Mean of combined samples = (15 * 10 + 10 * 8) / (15 + 10) = Mean of combined samples = 9.33. Therefore, the mean for the combined samples is 9.33.
3. a: We can use the formula for shifting the mean to find the original mean: M1 = M2 - kM1 = 14 - 6M1 = 8. Therefore, the value for the mean before 3 points were added to each score is 8. b. The researcher then realizes that she instead needs to multiply each score by 4. Using the original scores, she multiplies each by 4 and finds the mean to be M=32. We can again use the formula for shifting the mean to find the original mean: M1 = M2 / kM1 = 32 / 4M1 = 8. Therefore, the value of the mean prior to multiplying each score by 4 points is 8.
4. To find the new sample mean, we need to remove the score and adjust the mean accordingly. We can use the formula: New mean = (ΣX - X) / (n - 1)New mean = (ΣX - 18) / 10. Given that the original mean is 22, we can solve for ΣX:22 = ΣX / 1122 * 11 = ΣX243 = ΣX. Now we can plug in to find the new mean: New mean = (243 - 18) / 10 = New mean = 22.5. Therefore, the value of the new sample mean is 22.5.
5. We can use the formula for adding a score to a population to find the value of the added score: N μ = ΣX / NN * μ = ΣX / N + 1. Given that N = 10 and μ = 24 for the original population, we can solve for ΣX:10 * 24 = ΣX240 = ΣX. Now we can use the new mean and the formula to solve for the added score:11 * 34 = 240 + X / 11274 = 240 + XX = 34. Therefore, the value of the score that was added is 34.
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The answer provides solutions to the various statistical maths problems that involve calculations of mean and sum of scores. These problems explore the understanding of the concept of mean, summation and basic operations.
Explanation:To answer these questions, you'll need to understand basic concepts of statistics, specifically the calculation of means, and summation of scores (ΣX). So, let's break them down one by one:
For a sample of n=12 scores with a mean of M=8, the ΣX or sum value of scores would be the product of the number of elements and the mean, which is n*M = 12*8 = 96. When combining two sample sizes, to find the mean, you would calculate the sum of the scores of each sample, then divide by the total number of elements in both samples. Therefore, ΣX = n*M = (15*10) + (10*8) = 230. The total sample size, n, is 15+10=25. The mean for the combined samples would be 230/25 = 9.2. a. If the researcher adds 6 points to each score in the sample and finds the mean to be M=14 or M’, then value for the mean before 3 points were added to each score would be M’-6 = 14-6 = 8. b. If then each score is multiplied by 4 and the mean becomes M=32 or M’, then the mean before this multiplication would be M’/4 = 32/4 = 8. For a sample of n=11 scores with a mean of M=22, if one score with a value of X=18 is removed, the new sample size would be n-1 = 11-1 = 10. The new sum of scores would be ΣX - X = n*M - X = 11*22 - 18 = 222. Therefore, the mean of the new sample would be new ΣX / new n = 222/10 = 22.2. If a population of N=10 scores has a mean of μ=24, and one new score changes the mean to μ=34, then the total of the scores for the new population would be μ*n = 34*11 = 374. The total for the old population would be μ*n = 24*10 = 240. The value of the new score added would then be new total - old total = 374 - 240 = 134.Learn more about Statistics here:
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Evaluate the expression. {[(12−36)÷(−12)]²−20}÷(−4) plz help asap
Answer:
I don't know which one it is. It is either 56 or -4. I will come back when I am done the quiz.
The answer is 4 and yes it is spelled 4. IT IS NOT -4. I REPEAT IT IS NOT -4
Step-by-step explanation:
After the simplification of the given expression, the value in the outcome is 4.
Given that,
To evaluate the expression. {[(12−36)÷(−12)]²−20}÷(−4).
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= {[(12−36)÷(−12)]²−20}÷(−4).
Simplifying.
= {[-24/-12]²-20}/-4
= [4-20]/-4
=-16/-4
= 4
After the simplification of the given expression, the value in the outcome is 4.
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just give me the answer
Answer:
a) AE and CD
b) AE and ED
c) AED and CDE
HELPPPPPPPPPPPPPPPPPPPPPPPP
Help!!!! This is a triangle and I really don’t understand it :(
Answer: x is 3
Step-by-step explanation:
6x-5=4x+1
x = 3
A 40 ft board is cut into two pieces so that one piece is 8 ft longer than the other piece. Find the length of the two pieces
Answer:
16 and 24 ft
Step-by-step explanation:
If we call the length of one piece x, the length of the other piece is x + 8, therefore, we can write the following equation:
x + x + 8 = 40
2x + 8 = 40
2x = 32
x = 16 so x + 8 = 16 + 8 = 24.
Answer:
24 and 16
Step-by-step explanation:
x + x+8=40
2x+8=40
2x=32
x=16
16 and 24
Complete the table for the given rule.
Rule: y=x/2
(X over 2)
X y
X 1
X 2.5
X 3.5
Answer y = X/2
How to complete the table using y=x/2 (X over 2) rule ?
The given function is a linear function passing through Origin.
We have to Complete the table using the given rule.
y=x/2
1.→ 1= x/2
x=2
2.→ 2.5=x/2
x=5
3.→2=3.5=x/2
x=7
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Plzzzz help meeee plzzzz
Answer:
i. 2040 ii.1632
Step-by-step explanation:
I think i did this right..
Here are two random variables that are uncorrelated but not independent. Let X and Y have the following joint probability mass function:
The marginal probability mass functions of X and Y are:
P(X = 0) = 0.5, P(X = 1) = 0.5P(Y = 0) = 0.3, P(Y = 1) = 0.4, P(Y = 2) = 0.2In the given scenario, X and Y are two random variables that are uncorrelated but not independent. The joint probability mass function of X and Y is provided as follows:
P(X = 0, Y = 0) = 0.2
P(X = 0, Y = 1) = 0.1
P(X = 0, Y = 2) = 0.1
P(X = 1, Y = 0) = 0.1
P(X = 1, Y = 1) = 0.2
P(X = 1, Y = 2) = 0.1
To obtain the marginal probability mass functions, we sum the probabilities for each value of X and Y.
For X:
P(X = 0) = 0.2 + 0.1 + 0.1 + 0.1 = 0.5
P(X = 1) = 0.1 + 0.2 + 0.1 + 0.1 = 0.5
Therefore, the marginal probability mass function of X is P(X = 0) = 0.5 and P(X = 1) = 0.5.
For Y:
P(Y = 0) = 0.2 + 0.1 = 0.3
P(Y = 1) = 0.1 + 0.2 + 0.1 = 0.4
P(Y = 2) = 0.1 + 0.1 = 0.2
Hence, the marginal probability mass function of Y is P(Y = 0) = 0.3, P(Y = 1) = 0.4, and P(Y = 2) = 0.2.
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What's the product of the square root of √64. the square root of ∛8
Answer:
the square root of 64 is 8. the second one is 2.
Step-by-step explanation:
Answer:
Yes is should be 8 and the other one should be 2
Step-by-step explanation:
An assembly line has 10 stations with times of 1, 2, 3, 4, …, 10, respectively. What is the bottleneck time?
The bottleneck time is 10, as this is the longest time for any station in the assembly line.
What is the bottleneck time?In this assembly line, the bottleneck time is 10. This is the amount of time it takes for a product to pass through the longest station, station 10, and is the limiting factor in the line's overall efficiency.This is referred to as the bottleneck time because it is the maximum time that can be achieved, regardless of how efficient the other nine stations are.The bottleneck time is an important concept in assembly line and production management, as it helps to determine the optimal speed of the line and the maximum output that can be achieved.If the bottleneck time is longer than necessary, it can lead to higher costs and slower production.To improve the bottleneck time, managers can look for ways to reduce the time it takes to complete each task, or reduce the number of tasks required.Additionally, managers may need to invest in additional resources, such as robots, to increase the speed of the bottleneck station.To learn more about The bottleneck time refer to:
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