Thus, if we choose z to be a negative value instead of a positive value, then we would get the opposite inequality.
The statement "For any positive value z, it is always true that P(Z > z) > P(T > z), where Z~ N(0,1), and T ~ Taf, for some finite df value" is false. This is because both normal and t distributions have a symmetric distribution.
Explanation: Let Z be a random variable that has a standard normal distribution, i.e. Z ~ N(0, 1). Then we have, P(Z > z) = 1 - P(Z < z) = 1 - Φ(z), where Φ is the cumulative distribution function (cdf) of the standard normal distribution. Similarly, let T be a random variable that has a t distribution with n degrees of freedom, i.e. T ~ T(n).Then we have, P(T > z) = 1 - P(T ≤ z) = 1 - F(z), where F is the cdf of the t distribution with n degrees of freedom. The statement "P(Z > z) > P(T > z)" is equivalent to Φ(z) < F(z), for any positive value of z. However, this is not always true. Therefore, the statement is false. The reason for this is that both normal and t distributions have a symmetric distribution. The standard normal distribution is symmetric about the mean of 0, and the t distribution with n degrees of freedom is symmetric about its mean of 0 when n > 1.
Know more about normal distribution here:
https://brainly.com/question/15103234
#SPJ11
In the major course requirement in a math department, a student needs to choose one each from algebra, analysis, statistics, and geometry. There are 4 algebra courses, 3 analysis courses, 5 statistics courses, and 2 geometry courses available for major requirement. How many different ways can a student choose major requirement courses from these 4 areas
There are 120 different ways that a student can choose major requirement courses from these four areas.
In order to solve this problem, we need to use the concept of combinations. A combination is a selection of items from a set, without regard to the order in which they are chosen. The formula for the number of combinations of n objects taken r at a time is:
C(n,r) = n! / (r! * (n-r)!)
where n! means n factorial, which is the product of all positive integers up to n. For example, 5! = 5 * 4 * 3 * 2 * 1 = 120.
To solve this problem, we need to choose one course from each of the four areas: algebra, analysis, statistics, and geometry. The number of choices in each area are:
4 algebra courses
3 analysis courses
5 statistics courses
2 geometry courses
To find the total number of ways to choose one course from each area, we can use the multiplication rule of counting. This states that if there are n1 ways to do the first task, n2 ways to do the second task, and so on up to nk ways to do the kth task, then there are n1 * n2 * ... * nk ways to do all k tasks together.
In this case, there are 4 ways to choose an algebra course, 3 ways to choose an analysis course, 5 ways to choose a statistics course, and 2 ways to choose a geometry course. Therefore, the total number of ways to choose one course from each area is:
4 * 3 * 5 * 2 = 120
Thus, there are 120 different ways that a student can choose major requirement courses from these four areas.
Know more about concept of combinations here:
https://brainly.com/question/31768658
#SPJ11
5. what is the median of the data set below round to the nearest whole number test scores:77,92,84,97,72,88
Answer 77=80 92=90 84=80 97=100 71=70 88=90
Step-by-step explanation:
Q1. A company explores crude from a reservoir at about 300m below the earth's surface. The explored oil is pumped is pumped at a rate of 2.0 kg/s to a storage tank, 15 meters above the ground level. a. Calculate the rate of change of potential energy in the oil at the point above the ground. b. For enhanced oil recovery, CO₂ is pumped from the same point above the ground into the reservoir. Determine the change of potential energy in the gas in the reservoir.
In this scenario, the rate of change of potential energy in the oil is calculated as it is pumped from a reservoir 300m below the earth's surface to a storage tank 15 meters above the ground.
a. To calculate the rate of change of potential energy in the oil, we need to consider the height difference between the reservoir and the storage tank. The potential energy change is given by the formula ΔPE = mgh, where m is the mass of the oil, g is the acceleration due to gravity, and h is the height difference.
In this case, the mass of oil being pumped per unit time is 2.0 kg/s, and the height difference is 300m - 15m = 285m. Thus, the rate of change of potential energy in the oil is (2.0 kg/s) × (9.8 m/s²) × (285m).
b. For the CO₂ pumped into the reservoir, the change of potential energy is determined similarly using the same formula. However, in this case, the height difference is between the ground level and the reservoir, which is 300m. The mass of CO₂ being pumped per unit time is not provided in the information given, so further calculations would require that information.
It's important to note that potential energy calculations involve the height difference and the mass of the substance being considered, multiplied by the acceleration due to gravity.
Learn more about calculate here:
brainly.com/question/30151794
#SPJ11
What did I do wrong here in my answer?
Answer:
please see the attached I put the answer
Step-by-step explanation:
you answer were correct but you change the sign one of them will be positive.
Priya, jada, Han, and Diego stand in a circle and tak Priya says, SAFE. Jada, standing to Priya's left, says, OUT and leaves the circle. Han is next: are left. They continue to alternate. Priya says, SAFE. Han says, OUT and leaves the circle. he says, SAFE. Then Diego says, OUT and leaves the circle. At this point, only Priya and Han Priya is the only person left, so she is the winner. Priya says, "I knew I'd be the only one left, since I went first." 1. Record this game on paper a few times with different numbers of players. Does the person who starts always win? 2. Try to find as many numbers as you can where the person who starts always wins. What patterns do you notice?
The person who starts Priya does not always win, but rather the outcome depends on whether the total number of players is even or odd.
Let's record the game on paper for different numbers of players and see if the person who starts always wins.
Case 1: Two Players (Priya and Jada)
Round 1: Priya says SAFE.
Round 2: Jada says OUT and leaves the circle.
Priya is the winner. The person who starts (Priya) wins.
Case 2: Three Players (Priya, Jada, and Han)
Round 1: Priya says SAFE.
Round 2: Jada says OUT and leaves the circle.
Round 3: Han says SAFE.
Priya is the winner. The person who starts (Priya) wins.
Case 3: Four Players (Priya, Jada, Han, and Diego)
Round 1: Priya says SAFE.
Round 2: Jada says OUT and leaves the circle.
Round 3: Han says SAFE.
Round 4: Diego says OUT and leaves the circle.
Priya is the winner. The person who starts (Priya) wins.
From these examples, we can see that when the number of players is even, the person who starts always wins.
To find more numbers where the person who starts always wins, let's consider some additional cases:
Case 5: Six Players (Priya, Jada, Han, Diego, Alex, and Mia)
Round 1: Priya says SAFE.
Round 2: Jada says OUT and leaves the circle.
Round 3: Han says SAFE.
Round 4: Diego says OUT and leaves the circle.
Round 5: Alex says SAFE.
Round 6: Mia says OUT and leaves the circle.
Priya is the winner. The person who starts (Priya) wins.
Case 6: Eight Players (Priya, Jada, Han, Diego, Alex, Mia, Ethan, and Lily)
Round 1: Priya says SAFE.
Round 2: Jada says OUT and leaves the circle.
Round 3: Han says SAFE.
Round 4: Diego says OUT and leaves the circle.
Round 5: Alex says SAFE.
Round 6: Mia says OUT and leaves the circle.
Round 7: Ethan says SAFE.
Round 8: Lily says OUT and leaves the circle.
Priya is the winner. The person who starts (Priya) wins.
Based on these examples, we can observe that when the number of players is a multiple of 2, the person who starts always wins. There seems to be a pattern here: if the number of players is even, the starting person wins, while if the number of players is odd, the starting person loses.
Therefore, the person who starts does not always win, but rather the outcome depends on whether the total number of players is even or odd.
For such more questions on Start Wins When Even
https://brainly.com/question/30966253
#SPJ11
The average teachers salary in a particular state is %54,166. If the standard deviation is $10,200, find the salary corresponding to a z score of 2.
finding z-score
The salary corresponding to a z score of 2 is $74,566.
In order to find the salary corresponding to a z score of 2, we need to use the formula z = (x - μ)/σ, where z is the z score, x is the value we are trying to find, μ is the mean (average), and σ is the standard deviation.
We are given the following information:
μ = $54,166 (the average teacher salary in a particular state)
σ = $10,200 (the standard deviation)
z = 2 (the z score we are trying to find the corresponding salary for)
Plugging these values into the formula, we get:
2 = (x - $54,166)/$10,200
Next, we need to solve for x, which is the salary corresponding to a z score of 2.
First, we'll multiply both sides of the equation by $10,200 to get:
$20,400 = x - $54,166
Then, we'll add $54,166 to both sides to isolate the variable:
x = $74,566
Therefore, the salary corresponding to a z score of 2 is $74,566.
Learn more about Standard deviation
brainly.com/question/23907081
#SPJ11
One of the logo meets the building requirements. Explain which logo meets the biulding requirements and why.
The logo that meets the building requirement must be:
Aesthetically appealingVisually accurate at all sizesMust be memorableRelated to the value being delivered.What are logos in art?A Logo in art is a visual symbol, that an organization selects as one of the primary visual identifiers of its brand.
They are first conceptualized, then built or created after much consultation with graphic and marketing professionals.
Learn more about Logos at:
https://brainly.com/question/26631819
Matilda asked 20 random people in the street if they would like to discuss what they want to do during the summer break. seven of them said yes. how is this sample biased? the people who chose to participate might not be similar to the people who didn’t. she should have asked more people. she should have asked girls only. the number of people who agreed was too small.
The sample is biased because sample size is too small. So option (1) she should have asked more people is the correct answer.
Sampling bias is a bias in which a sample is collected in such a way that some members of the intended population have a lower or higher sampling probability than others. Sampling bias occurs when some members of a population are systematically more likely to be selected in a sample than others.
For the given situation,
Sample size = 20
Here Matilda have surveyed only 20 people. Since it is a less value, the sample is biased.
We could not take as the population suggestion with the suggestion of only seven people.
To know the population's liking's, Matilda should have asked more people in the street if they would like to discuss what they want to do during the summer break asked more number of people in the population.
Hence we can conclude that the sample is biased because sample size is too small. So option (1) she should have asked more people is the correct answer.
Find out more information about sampling bias here
brainly.com/question/789216
#SPJ4
Please help! Easy question, answer pls, 15 pts.
Answer:
360 in
Step-by-step explanation:
To figure out how many inches the dressmaker has in 10, 3 ft rolls, we can multiply by the conversion ratio:
\(\dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies (10 \cdot 3 \text{ ft}) \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30 \text{ ft} \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30\cdot 12 \text{ in} \\ \\ \text{} \ \ \implies \boxed{360 \text{ in}}\)
So, the dressmaker has 360 in of ribbon.
Identify sinJ as a fraction and as a decimal rounded to the nearest hundredth.
The figure shows right triangle J K L with right angle L. The length of leg L J is equal to 7 point 2 units. The length of leg K L is equal to 3 units. The length of hypotenuse J K is equal to 7 point 8 units.
In the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.
In trigonometry, for a right triangle, the sine (sin) of any angle θ is given as the ratio of its opposite side to the hypotenuse of the triangle, that is, sin θ = (opposite side)/(hypotenuse).
In the question, we are asked to find the trigonometric ratio, sin J, for the given right triangle JKL.
The side opposite to angle J is KL, which has a value of 3 units.
The hypotenuse of the given right triangle is JK, which has a value of 7.8 units.
Thus, sin J can be calculated as:
sin J = KL/JK = 3/7.8 = 5/13 = 0.39.
Thus, in the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.
Learn more about trigonometric ratios at
https://brainly.com/question/20367642
#SPJ1
with the equation 4 + 5x = -11 the value of x is
Answer:
4+5x= -11
5x= - 11-4
5x= - 15
x= - 15÷5
x= - 3
Death Valley National Park, in California and Nevada, is the site of the lowest elevation in the Western Hemisphere. Bad water Basin in the park is about 86 meters below sea level.
PLEASE HELP
Find the value of y for the given value
of x.
y= 2 – 9x; x = 2/3
Question 17
X
Incorrect
2 tries left. Please try again.
Identify Structure Two linear expressions that have a difference of x + 1 are
Select Choice and Select Choice ✓
> Need help with this question?
The linear expressions 3x + 2 and 2x + 1 would give a difference of x + 1
What is an equation?An equation is an expression that shows the relationship between numbers and variables using mathematical operations like exponents, addition, subtraction, multiplication and division.
An equation is classified based on degree as linear, quadratic, cubic and so on.
Two linear expressions have a difference of x + 1.
The term 3x + 2 and 2x + 1 would give a difference of x + 1 because:
(3x + 2) - (2x + 1) = x + 1
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Find the equation of the line that passes through (2,-1) and is parallel to
y
=
4
−
2
x
I am unsure of the answer
Hi student, let me help you out!
..................................................................................................................
----------------------------------------------
Part 1.What is the slope of the line \(\mathtt{y=4-2x}\)?
slope = -2---------------------------------------------
Part 2.
What is the slope of the line that is parallel to the line \(\mathtt{y=4-2x}\)?
slope = \(\mathtt{-2}\)\(\dag\mathtt{Drawing\:Conclusions}\)
The slopes of parallel lines are identical.
----------------------------------------------------
Part 3. EquationNow that we've found the slope, we can easily find the equation.
Recall the point that the line contains: (2, -1).
Let's stick in its y-coordinate, -1, instead of y: \(\mathtt{-1=-2x+b}\)
Do the exact same thing with x: \(\mathtt{-1=-2(2)+b}\).
Upon simplifying, we obtain \(\mathtt{-1=-4+b}\).
Now we should add 4 to both sides: \(\mathtt{-1+4=b}\).
Upon simplifying, we obtain \(\mathtt{3=b}\)
Incase you're wondering, "b" is the y-intercept.∴, the equation of the line is \(\underline{\boxed{\mathtt{y=-2x+3}}}\).
Hope this helped you out, ask in comments if any queries arise.
Best Regards!
\(\star\bigstar\underline{\underline{\overline{\overline{\bold{Reach\:Far.\:Aim\:high.\:Dream\:big.}}}}}\bigstar\star\)
\(\underline{\rule{300}{3}}\)
A(n) _______ design is used when the researcher wants to test a relationship between existing variables, and a(n) _______ design is used when a research wants to test a causal link between variables.
A(n) "correlational" design is used when the researcher wants to test a relationship between existing variables. This design aims to determine the degree to which two variables are related or associated with each other. In a correlational design, the researcher measures the variables of interest and examines the statistical relationship between them, typically using correlation coefficients.
On the other hand, a(n) "experimental" design is used when a researcher wants to test a causal link between variables. In an experimental design, the researcher manipulates one or more independent variables and measures the effect on a dependent variable. By controlling for confounding variables and using random assignment, an experimental design allows for causal inferences to be made.
It's important to note that while correlational designs can provide valuable insights into the relationships between variables, they do not establish causality. Experimental designs, on the other hand, provide stronger evidence for causal relationships by systematically manipulating variables.
A(n) \(\textbf{correlational}\) design is used when the researcher wants to test a relationship between existing variables.
A(n) \(\textbf{experimental}\) design is used when a researcher wants to test a causal link between variables.
To know more about Evidence visit-
brainly.com/question/30780436
#SPJ11
to study learned behavior in mice, researchers used a sample of mice in a maze experiment. each mouse had to find its way through a maze to reach food at the end. the mouse was timed on its first run through the maze and again on its tenth run through the maze. the difference in the times was recorded for each mouse.
The researchers used a sample of mice in a maze experiment to study learned behavior. They timed each mouse on its first run through the maze and again on its tenth run through the maze, recording the difference in times for each mouse.
The maze experiment is a common method used by researchers to study the learned behavior of animals, including mice. In this experiment, a maze is set up with food placed at the end to motivate the mouse to find its way through the maze. The researchers time the mouse on its first run through the maze to establish a baseline for the mouse's performance. They then repeat the experiment by timing the mouse on its tenth run through the maze to see if the mouse has learned and improved its performance. By subtracting the time of the first run from the time of the tenth run, the researchers can measure the difference in time and assess how much the mouse has learned.
The difference in time between the first and tenth run can be used as a measure of learning, and statistical analysis can be applied to identify significant changes in the mouse's performance. This type of experiment can be useful for studying the effects of different variables on learning, such as different training methods or drug treatments. The maze experiment can also be adapted to study other aspects of animal behavior, such as memory and decision-making.
To learn more about statistical analysis, click here: brainly.com/question/30033052
#SPJ11
Marlon Audio Company manufactures video tapes. The desired speed of its model SF2000 is 4 inches per second. Any deviation from this value distorts pitch and tempo, resulting in poor sound quality. The company sets the quality specification to 4 t 0.17 inch per second because an average customer is likely to complain and return the tape if the speed is off by more than 0.17 inch per The cost per return is $28. The repair cost before the tape is shipped, however, is only $7 per tape. Required: 1. Compute L(x) if x is 4.12 inches per second. 2. Estimate the tolerance for the firm to minimize its quality-related cost (loss). (Round your answers to 4 decimal places.)
L(x) if x is 4.12 inches per second is $21.
To estimate the tolerance for the firm to minimize its quality-related cost (loss), we need to determine the range of acceptable speeds that minimize the cost. The tolerance can be calculated as the difference between the upper and lower limits of the acceptable speed range.
Given that the desired speed is 4 inches per second and the quality specification allows a deviation of 0.17 inches per second, we can calculate the upper and lower limits as follows:
Upper Limit = Desired Speed + Tolerance
Lower Limit = Desired Speed - Tolerance
Let's assume the tolerance is represented by 't'.
Upper Limit = 4 + t
Lower Limit = 4 - t
To minimize the quality-related cost, we want to find the smallest value of 't' that satisfies the condition.
The cost can be minimized when the difference between the upper and lower limits is equal to twice the return cost of $28.
Upper Limit - Lower Limit = 2 * $28
(4 + t) - (4 - t) = 2 * $28
2t = 2 * $28
t = $28
Therefore, the estimated tolerance for the firm to minimize its quality-related cost is 0.28 inches per second (rounded to 4 decimal places).
Note: In this scenario, the tolerance is set to 0.28 inches per second to ensure that the cost of returns is minimized for the company.
Learn more about tolerance here:
https://brainly.com/question/30478622
#SPJ11
recall that in -fold cross-validation, one th of the data is reserved for testing. while in leave-one-out cross-validation, only a single data point is reserved for testing.let us define the bias of the cross-validation procedure as the mean of the difference between the actual performance of the model, and the performance estimated using the cross-validation procedure. which method will generally produce an estimate with higher bias?leave-one-out-fold
K-fold cross-validation generally produces an estimate with lower bias compared to leave-one-out cross-validation.(option b).
Cross-validation is a popular technique used in machine learning to estimate the performance of a model on unseen data. There are different methods of cross-validation, including leave-one-out and K-fold. In leave-one-out, only one data point is left out for testing, while in K-fold, a Kth portion of the data is held out.
Now, to answer the question of which method generally produces an estimate with higher bias, we need to look at the formula for bias in cross-validation. The bias is given by the difference between the expected value of the cross-validation estimate and the true performance of the model.
For K-fold cross-validation, the expected value of the estimate is computed as the average of the estimates obtained in each of the K folds. This means that the bias is dependent on the number of folds used. The more folds used, the lower the bias is likely to be.
Hence the correct option is (b).
To know more about validation here
https://brainly.com/question/13012369
#SPJ4
Reflected over the x-axis, then translated 6
units left
Write an equation to represent the function
Required equation to represent the translation 6 units left and reflected over x-axis is y = - (x + 6 ).
Let us consider the original equation be y = x.
Translation to the left by k unit is f(x) = f ( x + k )
Now the equation gets translated 6 units to the left represents as
y = ( x + 6 )
Now the reflected over the x-axis is represented by :
Here y -coordinates change the sign.
If ( x, y ) after reflection over x -axis it is ( x , -y ).
y = - ( x + 6 )
Equation to represents the reflected over x-axis and translated 6 units left of the original function y = x is written as y = - ( x + 6 ).
Therefore, the equation to represent the required translation and reflection is given by y = - ( x + 6 ).
Learn more about equation here
brainly.com/question/29657983
#SPJ4
By multiplying 5/3^4 by _________, we get 5^4
The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:
(5/3^4) * x = 5^4
To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:
5^4 = 5 * 5 * 5 * 5 = 625
Now, let's simplify the left side:
5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81
Now we have:
(5/81) * x = 625
To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:
(81/5) * (5/81) * x = (81/5) * 625
On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:
1 * x = (81/5) * 625
Simplifying the right side:
(81/5) * 625 = 13125
Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
For more questions on Value.
https://brainly.com/question/843074
#SPJ8
find an equation of the tangent line to the given curve at the specified point. y = e^x / x , (1, e)
y = e is the equation of the tangent line to the given curve at the specified point , y = \(e^{x}\) / x , (1, e)
Through the coordinate geometry formal of point-slope form, the equation of tangent and normal can be calculated.
The tangent has the equation (y - y1) = m(x - x1), and a normal travelling through this point and perpendicular to the tangent has the equation (y - y1) = -1/m (x - x1).
thus , y' = \(\frac{e^{x}-xe^{x} }{x^{2} }\)
y'(1) = 0 = m
Our slope is indicated by the horizontal line.
y−\(y_{1}\)=m(x−\(x_{1}\))
Our line will simply be our y-coordinate because our slope(m) is 0:
e
Therefore:
The tangent line's equation is y=e.
For more such questions on Tangent :
brainly.com/question/14022348
#SPJ4
please help im so stuck
Answer:
flufy jujy july görezoy
Answer:
Step-by-step explanation:
since its a square, the outsides are 6x6.
since the area of A is two times of B, we just have to guess the dimensions of the shorter side. The longer side is always going to be 6, it doesn't get cut there. so A is 6x4=24 and B is 6x2=12. 24 is twice 12. 2:1 ratio
Rect A
L=6
W=4
Rect B
L=6
W=2
The Halpert Group produces a single product selling for $20 per unit. Variable costs are $7 per unit and total fixed costs are$10,000. What is the contribution margin ratio?
A. 1.11
B. 0.63
C. 0.90
D. 0.10
The contribution margin ratio for The Halpert Group is approximately 0.63. Therefore, option B. is correct.
To find the contribution margin ratio for The Halpert Group, we'll use the formula:
Contribution Margin Ratio = (Selling Price - Variable Cost) / Selling Price.
Identify the selling price and variable cost per unit.
Selling Price = $20
Variable Cost = $7
Calculate the contribution margin per unit.
Contribution Margin = Selling Price - Variable Cost
Contribution Margin = $20 - $7
Contribution Margin = $13
Calculate the contribution margin ratio.
Contribution Margin Ratio = Contribution Margin / Selling Price
Contribution Margin Ratio = $13 / $20
Contribution Margin Ratio = 0.65
The closest answer to 0.65 is option B. 0.63. Therefore, the contribution margin ratio for The Halpert Group is approximately 0.63.
So, option B. is correct.
Learn more about contribution margin:
https://brainly.com/question/24881206
#SPJ11
Sal worked as a computer coder for $35.15 per hour. He worked 6 hours per day for 10 days. How much did Sal earn?
Answer:
He made 2109$ He is rich rich
The Monday after Thanksgiving is called Cyber Monday. Amazon is
offering deals on many popular items. The same drone helicopter
is normally sold for $179.99, but on Cyber Monday, Amazon will be
selling it for $125.99. What is the percent change on the drone. Round to the nearest percent
Answer:
the percentage change on the drone is 42.86%
Step-by-step explanation:
The computation of the percentage change is shown below:
Since the helicopter was sold for $179.99
But amazon would be selling it for $125.99
So, the percentage change would be
= (Sale value - sale value by amazon) ÷ ( sale value by amazon) × 100
= ($179.99 - $125.99) ÷ ($125.99) × 100
= 42.86%
Hence, the percentage change on the drone is 42.86%
20+20+???
a. 80
b. 20
c .40
d. 100
Answer:
c .40
Step-by-step explanation:
Answer:
c .40
Step-by-step explanation:
because we all now that 20+20 is the same as 20×2 which gives us 40
What is the absolute value of 6 added to the absolute value of 5?
Answer:
11
Step-by-step explanation:
I’m pretty sure. Just add it
Answer:
11
Step-by-step explanation:
Absolute value only applies to negative numbers. It will make negative numbers positive. As you can see in the problem, they are asking for the absolute value of positive numbers, so you can ignore the absolute value signs and add normally.
Hope it helps! Comment if you have any questions!
Write the slope-intercept form of the
equation that passes through: (4,2),
parallel to y = x-3
I tried to answer myself but somehow got it wrong, would like to know what I did wrong
The sum of two number is 22 and difference is 8. Find the numbers.
Answer:
7 and 15
Step-by-step explanation:
Let the numbers be x and y
\(x + y = 22\)
\(x - y = 8\)
On adding both
\(x + y + x - y = 22 + 8\)
\(2x = 30\)
\(x = \dfrac{30}{2} \)
\(x = 15\)
From 1
\(15 + y = 22\)
\(y = 22 - 15\)
\(y = 7\)
Answer:
\(take \: numbers \: xand \: y \\ given \: that \: x + y = 22 .....(1)\\ x - y = 8.....(2) \\ x = 8 + y \\ put \: this \: in \: (1) \\ 8 + y + y = 22 \\ 8 + 2y = 22 \\ 2y = 22 - 8 \\ 2y = 14 \\ y = \frac{14}{2} \\ y = 7 \\ pt \: y = 7in \: eqution \: (2) \\ then \: \\ x - 7 = 8 \\ x = 7 + 8 \\ x = 15 \\ therefore \: x = 15 \\ y = 7 \\ thank \: you\)