Answer:A linear equation in slope intercept form can be written y = mx + b. It ... To convert from slope intercept form y = mx + b to standard form Ax + By + C = 0, let m = A/B, collect all terms on the left side of the ... (2) - The slope of a line is -3/7 and the y- intercept is 10. ... All you have to do is isolate y on one side of the equal sign.
Step-by-step explanation:
Consider the following three systems of linear equations. System A System B System C 11 x= -44 [B1] x=-4 [C1] - 7x- 6y= 10 [A1] 6x+2y=- 18 [A2] 6x + 2y=-18 [B2] 6x +2y=-18 [C2] Answer the questions below. For each, choose the transformation and then fill in the blank with the correct number. The arrow ( - ) means the expression on the left becomes the expression on the right. How do we transform System A into System B? O X Equation [A1] → Equation [B1] Х ? 1 x Equation [A2] → Equation [B2] * Equation [A1] + Equation [A2] → Equation [B2] 1 x Equation [A2] + Equation [A1] → Equation [31] How do we transform System B into System C? 1 x Equation (B1] Equation (C1] X Equation [B2] → Equation (C2] 1 x Equation [31] + Equation [B2] → Equation (C2] * Equation [B2] + Equation [31] → Equation [21]
The correct transformations:
1) 3 x Equation [A2] + Equation [A1] → Equation [B1]
2). 1/11 x Equation [B1} → Equation [C1]
The correct options are D and A respectively.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.
Given:
We have three systems of linear equations.
To transform system A into system B:
Multiply 3 to the equation A2 and then add to equation A1,
we get,
-7x +18x -6y + 6y = 10- 54
11x = -44
equation B1.
To transform system B into system C:
Multiply 1/11 to equation B1,
we get,
x = -4
equation C1.
Therefore, the transformations are given above.
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use your calculator to determine the percent of each number a.1% of 28 =
Answer:
0.28
Step-by-step explanation:
1% = 0.01
0.01 × 28 = 0.28
. Decide whether each of these questions is statistical or non-statistical. How much sugar is in this cookie?
Answer:
i think its statistical
Step-by-step explanation:
Help me pls
No links pls
Answer:
B
Step-by-step explanation:
7) What does a multiplier of \( 1.2 \) mean?
A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.
A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.
A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.
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Question If we were to perform a hypothesis test, which of the following situations would require a one-mean t-test? (Select all that apply.) Select all that apply: According to a survey, the average household in Benson City uses 215 gallons of water per day, on average. To test if the neighboring town of Albertville uses less water per day. 70 random townspeople were surveyed. From the data, the sample mean time (a) is 211.5 gallons, and the population standard deviation is known, o = 12.3 gallons. A research study is performed on teenagers, to see if they text more this year, than they did in 2010. The average number of texts per day by teenagers in 2010 was 68 texts per day. 60 random teenagers were surveyed. From the data, the sample mean time() is 211.5 texts, and since the population standard deviation is unknown, the sample standard deviation (s) was found to be 2.12 texts. The average height of males (age 15 18) in a town was 73.4 inches in 2000. To test if the average height has increased from then until now, a random sampe of 97 males cage 15
The situations that require a one-mean t-test are: testing if a neighboring town uses less water per day compared to Benson City, examining if teenagers text more this year than in 2010, and determining if the average height of males aged 15-18 has increased since 2000.
A one-mean t-test is used when we want to compare the mean of a single sample to a known or hypothesized population mean. In the first situation, the objective is to determine if the neighboring town, Albertville, uses less water per day compared to the average household in Benson City. To test this, a sample of 70 townspeople is surveyed, and the known population standard deviation is provided.
In the second situation, the aim is to examine whether teenagers text more this year than they did in 2010. A sample of 60 random teenagers is surveyed, and since the population standard deviation is unknown, the sample standard deviation is used instead.
Lastly, the third situation involves testing if the average height of males aged 15-18 has increased since 2000. A random sample of 97 males is taken, and the goal is to compare the mean height from the current sample with the known average height from 2000.
In all three scenarios, a one-mean t-test is appropriate because we are comparing a single sample mean to a known or hypothesized population mean to determine if there is a significant difference.
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At the ski resort, the outside temperature is – 7°F. The wind chill
factor makes it feel like it is – 12°F.
Write
sure to
like you
What is the difference between the actual temperature and what
the temperature feels like with the wind chill?
The temperature at bands Fito the temperatures
What was the change in temperatures
Answer: 5 degrees
Step-by-step explanation:
The difference between -7 and -12 is 5, I don't know what you are asking for though.
Please help i will give points and brain
Which figure has no line of symmetry?
A. Figure A
B. Figure B
C. Figure C
D. Figure D
Answer:
A
Step-by-step explanation:
A cannot be split in half evenly :)
Answer:
a
Step-by-step explanation:
it's always looking and you can make two different shapes
Sue solved an equation below. Check her work.
Answer:
You cant see the equation
Step-by-step explanation:
which equation has the same solution as this equation x^2-16x 10=0
The equation \(x^2 - 16x + 10\) = 0 has the same solution as the equation \((x - 8)^2 = -26.\)
The equation \(x^{2}\) - 16x + 10 = 0 can be rewritten as \((x - 8)^2\)- 54 = 0 by completing the square. This new equation, \((x - 8)^2\) - 54 = 0, has the same solution as the original equation.
By completing the square, we transform the quadratic equation into a perfect square trinomial. The term \((x - 8)^2\) represents the square of the difference between x and 8, which is equivalent to \(x^{2}\) - 16x + 64. However, since we subtracted 54 from the original equation, we need to subtract 54 from the perfect square trinomial as well.
The equation \((x - 8)^2\)- 54 = 0 is equivalent to \(x^{2}\) - 16x + 10 = 0 in terms of their solutions. Both equations represent the same set of values for x that satisfy the given quadratic equation.
Therefore, the equation \((x - 8)^2\) - 54 = 0 has the same solution as the equation \(x^{2}\) - 16x + 10 = 0, providing an alternative form to represent the solutions of the original equation.
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L am a multiple of 3,4,5, and 6, l am a factor of 120 divided by 7 l leave a remainder of 4 who am l?
You are looking for a number that is a multiple of 3, 4, 5, and 6, and is a factor of 120 divided by 7, leaving a remainder of 4.
Let's break down the problem step by step:
1. Find a number that is a multiple of 3, 4, 5, and 6.
- The smallest number that meets this criteria is the least common multiple (LCM) of 3, 4, 5, and 6.
- The LCM of these numbers is 60.
2. Find a number that is a factor of 120 divided by 7.
- The result of dividing 120 by 7 is 17 with a remainder of 4.
- The number we are looking for must be a factor of 120 divided by 7, so it must be a factor of 17.
- The factors of 17 are 1 and 17.
3. Find a number that leaves a remainder of 4.
- Since the number must leave a remainder of 4, we need to add 4 to the factors of 17.
- The numbers that meet this criteria are 1 + 4 = 5 and 17 + 4 = 21.
So, the numbers that satisfy all the given conditions are 5 and 21.
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hellppp
plsssssssssss
if 3^n is a factor of 100!, what is the largest possible value of n
The largest possible value of n is approximately equal to 331.
What is the largest possible value of the integer n behind a power equation?
In this problem we find a factorial number as the result of a power with a base of 3. First, we need to estimate the maximum possible value of n (as a real number) by using logarithm properties:
3ⁿ = 100!
3ⁿ = 1 · 2 · 3 · ... · 99 · 100
㏒₃ 3ⁿ = ㏒₃ (1 · 2 · 3 · ... · 99 · 100)
n · ㏒₃ 3 = ㏒₃ 1 + ㏒₃ 2 + ㏒₃ 3 + ... + ㏒₃ 99 + ㏒₃ 100
n ≈ 331.090
Second, find the maximum possible integer n related to 100! is found by truncating the result found in the previous section. Hence, the largest possible value of n is approximately equal to 331.
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Triangle sqt is isosceles. the measure of angle stq is 48°. what is the measure of angle s t r? 24° 38° 48° 76°
The measure of ∠STR in the isosceles triangle is 24°
What is an isosceles triangle?
A triangle having two sides of equal length is termed as an isosceles triangle. The base angles of an isosceles triangle are also equal in measure. The fact that the perpendicular bisector of the base and the angle bisector of the vertex angle are the same is another crucial characteristic of an isosceles triangle. We refer this as Isosceles Triangle Theorem.
What is the value of angle STR?
It is given that in isosceles triangle SQT,
∠STQ = 48°
Since, the line TR is the angle bisector of angle STQ, we have,
∠STR = ∠RTQ
And, ∠STR + ∠RTQ = ∠STQ
Let ∠STR be x, the, we get,
x + x = ∠STQ
⇒ 2x = 48°
⇒ x = 24°
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Calculate the standard deviation of the sample data shown, to two decimal places X 17.7 15.9 14.5 6.5 27 5.7
The standard deviation of the given sample data is approximately 8.70. These squared differences are averaged, and the square root of the result gives us the standard deviation.
1. Calculate the mean: Add up all the data points and divide the sum by the total number of data points. In this case, the mean is (17.7 + 15.9 + 14.5 + 6.5 + 27 + 5.7) / 6 = 16.2.
2. Find the squared differences: Subtract the mean from each data point and square the result. The squared differences are (17.7 - 16.2)², (15.9 - 16.2)², (14.5 - 16.2)², (6.5 - 16.2)², (27 - 16.2)², and (5.7 - 16.2)².
3. Average the squared differences: Add up all the squared differences and divide the sum by the total number of data points. The average is (1.5² + (-0.3)² + (-1.7)² + (-9.7)² + (10.8)² + (-10.5)²) / 6 = 75.67.
4. Calculate the standard deviation: Take the square root of the average squared differences. The standard deviation is √75.67 ≈ 8.70 (rounded to two decimal places).
Therefore, the standard deviation of the given sample data is approximately 8.70.
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in a random sample of 1000 visitors to the er, how many visitors are expected to die within the next year? what is the standard deviation?
Standard deviation of random sample is 5.4.
Define standard deviation.The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean. The average degree of variability in your data set is represented by the standard deviation. It reveals the average deviation of each score from the mean.
Given,
Binomial distribution with
n = 1000
p = 0.03
Mean = n × p
Mean = 1000× 0.03
Mean = 30
Standard deviation = sqrt(1000× 0.03 ×(1 - 0.03))
Standard deviation = 5.4
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There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 the same colour?
would appreciate any help, ty :>
Answer:
0.5
Step-by-step explanation:
Total number of marbles = 10
Therefore, the probabilities of picking one marble:
P(blue) = 3/10 P(green) = 5/10 P(red) = 4/10
P(2 blues) = P(blue) AND P(blue) = 3/10 x 3/10 = 9/100 = 0.09
P(2 greens) = P(green) AND P(green) = 5/10 x 5/10 = 25/100 = 0.25
P(2 reds) = P(red) AND P(red) = 4/10 x 4/10 = 16/100 = 0.16
Probability of getting 2 blues OR 2 greens OR 2 reds = 0.09 + 0.25 + 0.16 = 0.5
Anyone know the answer?
Answer:7
Step-by-step explanation: The range is the value of the difference of the highest and lowest numbers. As I can see here, the highest is 9, while the lowest is 2, so 9-2=7
Find the area of the region enclosed by the curves. 10 X= = 2y² +12y + 19 X = - 4y - 10 2 y=-3 5 y=-2 Set up Will you use integration with respect to x or y?
The area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10 is 174/3 units².
To find the area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10, we need to solve this problem in the following way:
Since the curves are already in the form of x = f(y), we need to use vertical strips to find the area.
So, the integral for the area of the region is given by:
A = ∫a b [x₂(y) - x₁(y)] dy
Here, x₂(y) = 10 - 2y² - 12y - 19/5 = - 2y² - 12y + 1/2 and x₁(y) = -4y - 10
So,
A = ∫(-3)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy + ∫(-2)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy
=> A = ∫(-3)⁻²[2y² + 8y - 19/2] dy + ∫(-2)⁻²[2y² + 8y - 19/2] dy
=> A = [(2/3)y³ + 4y² - (19/2)y]₋³ - [(2/3)y³ + 4y² - (19/2)y]₋² | from y = -3 to -2
=> A = [(2/3)(-2)³ + 4(-2)² - (19/2)(-2)] - [(2/3)(-3)³ + 4(-3)² - (19/2)(-3)]
=> A = 174/3
Hence, the area of the region enclosed by the curves is 174/3 units².
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I hope you can see this well I just need help on this problem.
Given:
a.) The width of the rectangle is 0.7 meters less than the length.
b.) The perimeter of a rectangle is 44.6 meters.
First, let's draw the rectangle to better understand the problem.
Recall: The formula in getting the perimeter of the rectangle.
\(\text{ Perimeter = 2Length + 2Width}\)But it stated that the width of the rectangle is 0.7 meters less than the length.
Thus,
Width = Length - 0.7
Let's now find its Length,
\(\begin{gathered} \text{ Perimeter = 2Length + 2Width} \\ \text{ 44.6 = 2Length + 2(Length - 0.7)} \\ \text{ 44.6 = 2Length + 2Length - 1.4} \\ \text{ 44.6 + 1.4 = 4Length} \\ \text{ 46 = 4Length} \\ \text{ 4Length = 46} \\ \text{ }\frac{\text{4Length}}{\text{ 4}}\text{ = }\frac{\text{ 46}}{\text{ 4}} \\ \text{ Length = }11.5\text{ meters} \end{gathered}\)Therefore, the length of the rectangle is 11.5 meters.
Let's now determine the width,
Width = Length - 0.7
= 11.5 - 0.7
Width = 10.8 meters
Therefore, the width of the rectangle is 10.8 meters.
Please help me with this homework
Answer:
D, E
Step-by-step explanation:
A fraction can also be called a ration so it is in fact a rational number as well as a real number. When you get to imaginary numbers, you'll scream, Trust me.
With what instrument could the predictive validity of a metric scale (a set of questions) best be determined?A. Cronbach's alphaB. A correlation-coefficient C. Fishers r-to-z test.D. With none of the above mentioned instruments
The best instrument to determine the predictive validity of a metric scale would be a correlation-coefficient.
This measure assesses the strength of the relationship between two variables, in this case, the metric scale scores and the predicted outcome. A high correlation would indicate that the metric scale is a good predictor of the outcome, whereas a low correlation would indicate that the metric scale is not a reliable predictor.
Cronbach's alpha is a measure of internal consistency and would not be appropriate for determining predictive validity. Fisher's r-to-z test is used to compare the strength of two correlations and is not necessary in this scenario. Therefore, the answer is B, a correlation-coefficient.
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the difference of two numbers is 4. the sum of the lesser number and half the greater number is 23. what is the product of the two numbers?
Answer: x = 18 and y = 14
The difference is 4, and half of 18 is 9 and 9 + 14 is 23
Step-by-step explanation:
Keep the 2 numbers as 2 variables
x - y = 4
x + (y/2) = 23
We can use the substitution method here
x = 4 + y
4+y + (y/2) = 23
y = 14
x = 4 + y
x = 4 + 14
x = 18
what are the possible values for (randgen.nextint(9) -4)? assume a random number generator object named randgen exists. question 35 options: -4...4 -9...9 0...4 0...9
The correct option would be -4...4.
How to find the range of possible values for the expression (randgen.nextInt(9) - 4)?The expression (randgen.nextInt(9) - 4) uses a random number generator object named randgen to generate a random integer between 0 (inclusive) and 9 (exclusive) using the nextInt() method.
By subtracting 4 from this random integer, we determine the range of possible values for the expression.
Since the original random integer ranges from 0 to 8, subtracting 4 shifts the range to -4 to 4. This means that the possible values for (randgen.nextInt(9) - 4) can be any integer between -4 and 4, inclusive.
In other words, the expression can yield values such as -4, -3, -2, -1, 0, 1, 2, 3, and 4. These values cover a total of nine integers, including both positive and negative numbers.
Therefore, the correct option is -4...4, which represents the range of possible values for the expression (randgen.nextInt(9) - 4).
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Square root of 0.04
Answer:
.2 would be your answer
Step-by-step explanation:
Answer:
0.2
explanation: 0.2 times 0.2=0.04
Which of the following search algorithms should be used on large arrays if speed if important?
BinaryascendingBubble sortAll of the above
If speed is important and the array is large, the a. Binary search algorithm should be used. This algorithm is designed to efficiently search through sorted arrays by repeatedly dividing the search interval in half.
It has a time complexity of O(log n), which means that as the size of the array increases, the time it takes to search for an item will not increase at the same rate.
On the other hand, ascending bubble sort and other sorting algorithms such as selection sort and insertion sort have a time complexity of O(n^2), which means that as the size of the array increases, the time it takes to sort the array will increase exponentially. Therefore, these algorithms are not efficient for large arrays and should not be used if speed is important.
In summary, when dealing with large arrays and speed is important, binary search is the best algorithm to use for searching, while ascending bubble sort and other sorting algorithms with a time complexity of O(n^2) should be avoided.
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What are the properties of a parallelogram?
Wxndy~~
help asap !! please and thanks
Answer: A = 2, 1 1/2
B = -2, 1 1/2
C = -1 1/2, 1/4
Step-by-step explanation: this should be correct, you can match these points to the ones on the graph to see if i'm right, but i'm pretty sure these are correct
Part b: assuming the residual plot of the transformed data shows a pattern, comment on the appropriateness of this linear regression for modeling the relationship between the transformed variables. (5 points) source stylesnormalfontsize
The current model- this doesn't appear to be as good as it looks, so it is advised to change the independent variables by checking if the high power would perform well.
This problem involves linear regression modelling and can be picturised as the image attached. Here ,the question says that, prior to fitting a linear regression model with x and y variables, both variables were transformed by squaring and the output. The value of the output is provided to us now here.
Firstly, it says that r squared is 88.31 percent and the r square is adjusted as 89.31 percent. The first part of the question is to interprepret the value of r square. This is the coefficient of determination, this is equal to 0.8831 and it means that the predicted dependent variable is able to predict 88.31 percent of the variation in the independent Variable .
Now, in the given case, the value of the coefficient of determination is a high value as compared to the usual regression models. So we can usually accept this model right now.
The next part of this question is that assuming the residual plot of the transformed data shows a pattern comment on the appropriate of this linear regression for modeling the relationship between the transformed variables. Now, here the given patterns, there is a pattern right indicating that the racial here are correlated right. So, ideally, if the regression is good, the residuals are expected to be randomly distributed.
So, it means that the current model- this doesn't appear to be as good as it looks, so it is advised to change the independent variables by checking if the high power would perform well.
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Solve for x: |4x + 12| = 16 (5 points)
Group of answer choices
x = 7, x = −7
x = 1, x = −1
x = 1, x = −7
x = −1, x = 7
X= 1 , X= –7
I hope I helped you^_^