Find the specified areas for a Upper N left-parenthesis 0 comma 1 right-parenthesis density. (a) The area below z equals 1.04 Round your answer to three decimal places. areaequals the absolute tolerance is +/-0.001 (b) The area above z equals -1.4 Round your answer to three decimal places. areaequals the absolute tolerance is +/-0.001 (c) The area between z equals 1.1 and z equals 2.1 Round your answer to three decimal places. areaequals the absolute tolerance is +/-0.001
The area between z=1.1 and z=2.1 is approximately 0.982 - 0.864 = 0.118, rounded to three decimal places.
To find the area below z=1.04 for an Upper N(0,1) density, you will need to use the standard normal distribution table or a calculator with a z-table function. Here are the steps:
1. Locate the value of z=1.04 in the table or use the calculator's function.
2. Find the corresponding area value (which represents the probability or percentage of values below z=1.04).
The area below z=1.04 is approximately 0.851, rounded to three decimal places.
(b) To find the area above z=-1.4 for an Upper N(0,1) density, follow these steps:
1. Locate the value of z=-1.4 in the table or use the calculator's function.
2. Find the corresponding area value.
3. Since we need the area above z=-1.4, subtract the area value found in step 2 from 1.
The area above z=-1.4 is approximately 1 - 0.0808 = 0.919, rounded to three decimal places.
(c) To find the area between z=1.1 and z=2.1 for an Upper N(0,1) density, follow these steps:
1. Locate the values of z=1.1 and z=2.1 in the table or use the calculator's function.
2. Find the corresponding area values for both z=1.1 and z=2.1.
3. Subtract the area value of z=1.1 from the area value of z=2.1 to find the area between them.
The area between z=1.1 and z=2.1 is approximately 0.982 - 0.864 = 0.118, rounded to three decimal places.
Learn more about area
brainly.com/question/27683633
#SPJ11
Which expression is equivalent to 3m+1-m?
2+m-1+m
1+m
3m+1
3m
Which pair of complex numbers has a real-number product? (1 + 3i)(6i) (1 + 3i)(2 – 3i) (1 + 3i)(1 – 3i) (1 + 3i)(3i)
Answer:
(1 + 3i)(1 – 3i) gives real number productStep-by-step explanation:
Given the expressions
\((1 + 3i)(6i) ,(1 + 3i)(2 -3i), (1 + 3i)(1 - 3i), (1 + 3i)(3i)\)
From analysis one of the following pairs has real-number products
\((1 + 3i)(2 -3i), (1 + 3i)(1 - 3i)\)
Performing operations on
\((1 + 3i)(2 -3i)= 2-3i+6-6i^2 \\= 2-3i+6-6(-1) \\=2-3i+6+6 \\=14-3i\)
Performing operations on
\((1 + 3i)(1 - 3i) \\= 1-3i+3i-9(i)^2 \\= 1+0-9(-1) \\= 1+9=10\)
Answer:
C
Step-by-step explanation:
trust
James is taking out a personal loan from his local bank. if the total loan amount is $2500 at a simple interest rate of 14.99% and in the 1st 4 months he makes only interest payments, how much will he pay in those months total?
James has to pay an annual interest of 14.99% on $2500 loan.
In decimal:
14.99% = 14.99/100 = 0.1499
The interest of 1st year would be:
0.1499 * 2500 = 374.75 dollars
Monthly interest would be:
374.75/12 = $31.23
If he pays this amount each month for first 4 months, he would pay a total of:
$31.23 * 4 =
$124.92x-6/2=2x/7 solve the equation
Answer:
x-6/2=2x/7
7x-42=4x
7x-4x=42
3x= 42
X = 42/3
1.1 Given the linear pattern: 5 ; -2 ; -9 ..... -289
1.1.1 Write down the constant first Difference
Answer:
- 7
Step-by-step explanation:
d = a₂ - a₁ = a₃ - a₂ = - 2 - 5 = - 9 - (- 2) = - 7
2. Suppose X has the standard normal distribution, and let y = x2/2. Then show that Y has the Chi-Squared distribution with v = 1. Hint: First calculate the cdf of Y, then differentiate it to get the it's pdf. You will have to use the following identity: d dy {List pb(y) f(x)da f(b(y))-(y) - f(a(y)) .d(y).
Yes, Y follows a Chi-Squared distribution with v = 1.
Is it true that Y has the Chi-Squared distribution with v = 1?
The main answer is that Y indeed has the Chi-Squared distribution with v = 1.
To explain further:
Let's start by finding the cumulative distribution function (CDF) of Y. We have Y = \(X^2^/^2\), where X follows the standard normal distribution.
The CDF of Y can be calculated as follows:
F_Y(y) = P(Y ≤ y) = P(\(X^2^/^2\) ≤ y) = P(X ≤ √(2y)) = Φ(√(2y)),
where Φ represents the CDF of the standard normal distribution.
Next, we differentiate the CDF of Y to obtain the probability density function (PDF) of Y. Applying the chain rule, we have:
f_Y(y) = d/dy [Φ(√(2y))] = Φ'(√(2y)) * (d√(2y)/dy).
Using the identity d/dx [Φ(x)] = φ(x), where φ(x) is the standard normal PDF, we can write:
f_Y(y) = φ(√(2y)) * (d√(2y)/dy) = φ(√(2y)) * (1/√(2y)).
Now, we recognize that φ(√(2y)) is the PDF of the Chi-Squared distribution with v = 1. Therefore, we can conclude that Y has the Chi-Squared distribution with v = 1.
Learn more about Chi-Squared distribution
brainly.com/question/31027207
#SPJ11
Write the complex number in trigonometric form.
z = 5 - 5i
Answer:
\( \large \boxed{ \boxed{ \red{ \ \rm 5 \sqrt{2} ( \cos( \dfrac{7\pi}{4} ) + i \sin( \dfrac{7\pi}{4} ) )}}}\)
Step-by-step explanation:
to understand thisyou need to know about:imaginary numberPEMDAStips and formulas:\( \sf \: formula \: of \: trigonometric \: form : \\ \rm r( \cos( \theta) + i \sin( \theta) )\)\( \rm \: r = \sqrt{ {a}^{2} + {b}^{2} } \)\( \rm \theta = \arctan( \dfrac{b}{a} )\)given:z=5-5ilet's solve:complex number:a+bi
therefore
our a is 5our b is -5\( \sf sustitute \: the \: value \: of \: a \: and \: b \: into \: the \: modulus : \)
\( \rm \: r = \sqrt{ {5}^{2} + ( { - 5)}^{2} } \)
\( \sf simplify \: squres : \)
\( \rm \: r = \sqrt{25 + 25} \)
\( \sf simplify \: addition : \)
\( \rm \: r = \sqrt{50} \)
\( \sf rewrite \: 50 \: as \: 2 \times 25\)
\( \sf r = \sqrt{2 \times 25} \)
\( \sf use \: \sqrt{ab} \iff \: \sqrt{a } \sqrt{b} : \)
\( \rm r = \sqrt{25} \sqrt{2} \)
\( \therefore \rm \: r = 5 \sqrt{2} \)
\( \sf sustitute \: the \: value \: of \: a \: and \: b \: into \: the \: agrument : \)
\( \rm \theta = \arctan(\dfrac{ - 5}{5} )\)
\( \sf simplify \: divition : \)
\( \rm \theta = \arctan( - 1)\)
\( \theta = - \dfrac{\pi}{4} \)
\( \sf add \: 2\pi \: to \: get \: a \: positive \: agrument\)
\( \rm \theta = - \dfrac{\pi}{4} + 2\pi \\ \rm\therefore \: \theta = \frac{7\pi}{4} \)
\( \sf \: sustitute \: the \: value \: of \: \rm \: r \: and \: \theta : \\ \rm 5 \sqrt{2} ( \cos( \frac{7\pi}{4} ) + i \sin( \frac{7\pi}{4} ) )\)
\(\text{And we are done!}\)
lines of levels were run requiring nn instrument setups. if the rod reading for each backsight and foresight has a standard deviation σσ , what is the standard deviation in each of the following level lines?
a) the standard deviation for each level line is approximately ±0.00144 ft.
b) the standard deviation for each level line is approximately ±0.0001843 ft.
To calculate the standard deviation for each of the level lines, we can use the formula:
Standard deviation (σ_line) = σ / √n
where σ is the standard deviation of the individual readings (backsight and foresight), and n is the number of instrument setups.
a) For n = 12 and σ = ±0.005 ft:
σ_line = ±0.005 ft / √12
σ_line ≈ ±0.00144 ft
Therefore, the standard deviation for each level line is approximately ±0.00144 ft.
b) For n = 32 and σ = ±3 mm:
Note that we need to convert the standard deviation from millimeters to feet for consistency.
1 mm = 0.00328084 ft
σ_line = ±(3 mm * 0.00328084 ft/mm) / √32
σ_line ≈ ±0.0001843 ft
Therefore, the standard deviation for each level line is approximately ±0.0001843 ft.
Learn more about standard deviation here
https://brainly.com/question/13498201
#SPJ4
Complete question is below
Lines of levels were run requiring n instrument setups. If the 10) reading for each backsight any foresight has a standard deviation σ, what is the stantdard deviation in each of the following level lines? a) n=12,σ=±0.005ft b) n=32,r=±3 mm
John had a stock of 1200 books in his bookshop. He sold 75 on
Monday, 56 on Tuesday, 64 on Wednesday, 78 on Thursday and 135
on Friday. What percent of the books was still not sold?
Answer:
66% of the books were still not sold.
Step-by-step explanation:
1. you add all the books sold together and get 408.
2. you put 408 / 1200.
3. divide 1200 but 100 and get 12.
4. then you divide 408 by 12 and get the percent of books sold.
5. subtract the number of books sold from 100 and you get 66% are unsold
Determine whether the given x² + 2xy +²²=16; (0,4) O Yes No (8,-4) Yes No (-8, 12) Yes No Need Help? R
The point (0,4) satisfies the equation x² + 2xy + y² = 16, while the points (8,-4) and (-8,12) do not.
To determine if a given point satisfies the equation x² + 2xy + y² = 16, we substitute the values of x and y into the equation and check if the equation holds true.
For the point (0,4), substituting x = 0 and y = 4 into the equation gives 0² + 2(0)(4) + 4² = 16. Simplifying, we get 16 = 16, which is true. Therefore, the point (0,4) satisfies the equation.
However, for the point (8,-4), substituting x = 8 and y = -4 into the equation gives 8² + 2(8)(-4) + (-4)² = 16. Simplifying, we get 64 - 64 + 16 = 16, which simplifies to 16 = 16. This is not true, so the point (8,-4) does not satisfy the equation.
Similarly, for the point (-8,12), substituting x = -8 and y = 12 into the equation gives (-8)² + 2(-8)(12) + 12² = 16. Simplifying, we get 64 - 192 + 144 = 16, which simplifies to 16 - 192 + 144 = -32. This is not true, so the point (-8,12) does not satisfy the equation.
In conclusion, the point (0,4) satisfies the equation x² + 2xy + y² = 16, while the points (8,-4) and (-8,12) do not.
Learn more about point here:
https://brainly.com/question/32083389
#SPJ11
Solve this system of equations by graphing. First graph the equations, and then type the solution.
The graph of the equation given is mentioned below.
What is plot point in graph ?
Whenever we draw a point on our grid, we'll call it "plotting a point." The grid is really called a "graph" and the points we plot are called "coordinates." These are really locations on a plane -- we're just finding and labeling them.
Equation given,
y = 3/5x - 1 ----eq(i)
y = 2/5x -----eq(ii)
Now, for this two equation we infinite points for real numbers.
Now, take some points to plot the graph.
First for the eq(i)
Put x = 0, so y = -1
Put x = 5, so y = 2
Points for eq(i) is (0, -1) and (5, 2)
Now, for eq(ii)
Put x = 0, so y = 0
Put x = 5, so y = 2
Points for eq(ii) is (0, 0) and (5, 2)
Common point is (5, 2)
Now, plot this point on graph.
Hence, for more clarity graph of the equation given is mentioned below.
To read more about Graphing
https://brainly.com/question/6202026
#SPJ1
The price of a shirt drops from $45.25 to $35.75. What is the Relative change ?
Answer:
is it 9.5
Step-by-step explanation:
this is just a guess I am sorry if I'm wrong
Write the slope-intercept equation of a line that passes through the points (-2, 5) and (6, -4)
The slope intercept form of a line which passes through the points (-2, 5) and (6, -4) is y = (-9/8)x + 11/4.
According to the question.
A line passes through the two points (-2, 5) and (6, -4).
As we know that, the slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.
So, the slope of the line = -4 -5/(6 + 2) = -9/8
And, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4) is given by
y = (-9/8)x + b
Since, the line passes through (-2, 5) and (6, -4). So, both the points must statisfy the above equation.
⇒ 5 = (-9/8)(-2) + b
⇒ 5 = 9/4 + b
⇒ b = 5 - 9/4
⇒ b = (20 - 9)/4
⇒ b = 11/4
Therefore, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4) is y = (-9/8)x + 11/4.
Find out more information about slope intercept form of a line here:
https://brainly.com/question/9682526
#SPJ4
When you are trying to discover whether there is a relationship between two categorical variables, why is it useful to transform the counts in a crosstabs to percentages of row or column totals
When analyzing categorical data, it is often useful to examine the relationship between two variables. Crosstabs, or contingency tables, are commonly used to display the counts of observations in each combination of the two variables. However, these raw counts can be difficult to interpret, especially if the totals for each variable are different.
By transforming the counts into percentages of row or column totals, we can better understand the patterns and relationships in the data. Percentages allow us to compare the proportions of one variable within each category of the other variable, regardless of the total number of observations. This can help us identify any trends or patterns in the data that may not be immediately apparent from the raw counts.
For example, suppose we have a crosstab of gender and favorite color. The raw counts may show that more females than males prefer blue, but it's difficult to know if this difference is meaningful without knowing the total number of males and females in the sample. By transforming the counts to percentages of row totals, we can see that 40% of females prefer blue, while only 30% of males do. This suggests that there may be a relationship between gender and favorite color.
Overall, transforming raw counts into percentages of row or column totals can help us better understand the relationship between two categorical variables, especially when the totals are different.
Learn more about categorical data here: brainly.com/question/28542438
#SPJ11
please help, I need this answer today (2/10/2021)
w=yh−5t, for y
Answer:
y = w /h + 5 t/ h
i believe
Step-by-step explanation:
Answer:
Y= w/h + 5t/ h
Step-by-step explanation:
There's really not much to go off of here. So I just simply Isolated the variable. I hope this is what you were looking for.
Simplified awnser
1/2 a2 - 3 x b + 2c
The given expression is a simplified algebraic equation: (1/2) * a^2 - 3b + 2c. It represents a combination of variables a, b, and c with their respective coefficients.
What is an Algebraic Equation?Utilizing symbols and operations, an algebraic equation illustrates the equivalence or inequivalence of two expressions. These generated expressions may hold variables that have varying values.
The premise centered around calculus is to arrive at a solution by acquiring the correct value(s) of these variable(s), ultimately fulfilling the outlined specification in the problem. Algebraic equations can range from uncomplicated linear problems to elaborate polynomials and trigonometric functions.
Read more about algebraic equations here:
https://brainly.com/question/2164351
#SPJ1
NEED THIS ASAP I WILL GIVE 50 POINTS!!!!!!!
1. Complete the table to summarize what you know about each rocket: (3 points: 1 point for each row of the chart)
2. Do you agree with Serena that you can draw the graphs for the other two rockets by shifting the functions? Or do you think that Jack is correct that you need to recalculate the other two? Explain. (2 points)
3. Compare the equation with the graph of the function. Assume this graph is a transformation from f(t) = –6t2. What does the term –3.7 do to the rocket's graph? What does the value t = 3.7 represent in the science project? (What happens to the rocket?) (2 points)
4. Again assuming a transformation from f(t) = –6t2, what does the term 82.14 do to the rocket's graph? What does the value h(t) = 82.14 represent in the science project? (What is happening to the rocket?) (2 points)
5. Serena and Jack launch the second rocket 3 seconds after the first one. How is the graph of the second rocket different from the graph of the first rocket? Describe in terms of the vertical and horizontal shift. (2 points)
6. What is the equation of the second rocket? (2 points)
7. They launch the third rocket 3 seconds after the second rocket and from a 20-foot-tall platform. What will the graph of the third rocket look like? Describe in terms of the vertical and horizontal shift. (2 points)
8. What is the equation of the third rocket? (2 points)
9. Answer the following questions about the three rockets. Refer to the graph of rocket heights and times shown above. (3 points: 1 point for each question)
a. Approximately when is the third rocket launched?
b. Approximately when does the first rocket land?
c. What is the approximate interval during which all three rockets are in the air?
The vertical shape of the graph will be the same as that of the first rocket, assuming both rockets have the same initial velocity and acceleration.
1. I agree with Serena that we can draw the graphs for the other two rockets by shifting the functions. We can use the same equation and just adjust the values of the horizontal and vertical shifts.
2. The equation f(t) = -6t² represents a quadratic function, which has a parabolic shape when graphed. If we apply a transformation to this function, such as a vertical or horizontal shift, the shape of the graph will change accordingly.
3. The term 82.14 likely represents the maximum height achieved by the rocket, since the equation f(t) = -6t² gives the height of the rocket as a function of time. The value of h(t) = 82.14 corresponds to a specific time when the rocket reaches its maximum height.
4. If the second rocket is launched 3 seconds after the first one, the graph of the second rocket will be shifted horizontally by 3 units to the right compared to the graph of the first rocket. This represents a time delay of 3 seconds between the two launches.
5. The equation of the second rocket would be f(t) = -6(t-3)², assuming that the second rocket has the same initial velocity and acceleration as the first rocket but is launched 3 seconds later.
6. Since the third rocket is launched 3 seconds after the second rocket and from a tall platform, its graph will be shifted horizontally to the right by 6 units compared to the graph of the first rocket.
9. A: Based on the graph, the third rocket was launched at approximately 5:20 PM.
B: Based on the graph, the first rocket lands at approximately 5:15 PM.
C: Based on the graph, all three rockets are in the air between approximately 5:10 PM and 5:25 PM, so the approximate interval during which all three rockets are in the air is 15 minutes.
Therefore, spends an additional 6 seconds in the air before landing. The vertical shape of the graph will depend on the specifics of the rocket's launch and trajectory.
Learn more about rockets here:
brainly.com/question/15061209
#SPJ1
Macy made a 220 grooming dogs one day in her mobile grooming business she charges 60 per appointment and 40 earned in tips write an equation to represent the situation and solve the equation to determine how many appointments Messi had part B Logan made a profit of 300 as a mobile groomer he charge $70 per appointment and received $50 in tips but he had to pay a rental fee for the truck of $20 per appointment write an equation to represent the situation and solve the situation to determine how many appointments Logan had
Macy had 3 appointments.
Logan had 5 appointments.
What is the quadratic equation?
A quadratic equation is a type of polynomial equation of degree 2, which is written in the form of "ax^2 + bx + c = 0", where x is the variable and a, b, and c are constants. The solutions to a quadratic equation can be found using the quadratic formula: x = (-b ± √(b^2 - 4ac))/2a.
Part A:
Let x be the number of appointments Macy had.
We know that the total income (60x + 40) must equal 220.
Therefore, the equation representing the situation is:
60x + 40 = 220
To solve for x, we can subtract 40 from both sides:
60x = 180
Finally, we divide both sides by 60 to get:
x = 3
Macy had 3 appointments.
Part B:
Let y be the number of appointments Logan had.
We know that the total profit (70y + 50 - 20y) must equal 300.
Therefore, the equation representing the situation is:
50y + 50 = 300
To solve for y, we can subtract 50 from both sides:
50y = 250
Finally, we divide both sides by 50 to get:
y = 5
Logan had 5 appointments.
To learn more about quadratic equations, Visit
https://brainly.com/question/1214333
#SPJ1
A truck can be rented from Company A for $50 a day plus $0.30 per mile. Company B charges $30 a day plus $0.70 per mile to rent the same truck. Find the number of miles in a day at which the rental
costs for Company A and Company B are the same.
At miles, the rental costs are the same from either company.
Answer:
At 50 miles, the rental costs are the same from either company.
Company A:
0.3 x 50 = 15
15+50= 65
Company B:
0.7 x 50 = 35
35 + 30 = 65
32.4% of 191.2 Round to the nearest thousand
Teresa is 25 years old, and she makes $30,000 per year. If Teresa were to die,
how much would the beneficiaries of her life insurance policy receive if they
can get by on 75% of her income?
Answer:
They would receive $22,500 which is 75% of her income
Step-by-step explanation:
Here, we want to know how much the beneficiaries of a life insurance scheme would receive if their principal die.
From the question, we are told that they have the right to claim 75% of her income
From the question also, we were told that what she earns per annum is $30,000
Now, since they have the right to claim 75%, the amount they can claim out of the said income will be;
75/100 * $30,000 = $22,500
Answer:225,000
Bshshsjjdjdnfnjfkf
May I please get some help on these
Answer:
The Correct answer is
57°
which do you press while dragging to maintain the height and width proportion of a shape?
To maintain the height and width proportion of a shape while dragging, you would typically hold down the Shift key on your keyboard.
When you select and drag a shape, holding down the Shift key constrains the proportions of the shape and ensures that the height and width change proportionally.
This technique is commonly used in graphic design and image editing software, as well as in various drawing and design applications. By holding down the Shift key while dragging a shape, you can prevent it from being distorted or skewed, preserving its original aspect ratio.
This feature is especially useful when you want to maintain the shape's original proportions or when you need consistency in the size and dimensions of multiple shapes. It helps ensure that the height and width remain in the same ratio as the original shape, regardless of how you adjust its size.
Learn more about graphic design at: brainly.com/question/11299456
#SPJ11
Matrix B is obtained from matrix A by three row-swaps, and matrix C is obtained from A by dividing a row of A by 3. Suppose det A=5. Find det B and det C.
Does det B= -5, det C= 5/3 ? True or False?
Matrix B is obtained from matrix A by three row-swaps, and matrix C is obtained from A by dividing a row of A by 3. Suppose det A=5.then det B= -5, det C= 5/3 is a true statement
What is a matrix simple definition?
matrix, a set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix. Matrices have wide applications in engineering, physics, economics, and statistics as well as in various branches of mathematics.
learn more about of matrix here
https://brainly.com/question/28180105
#SPJ4
If there are 1000 grams in a kg and 455 grabs in a pound, how many pounds are there per kg
Answer:
The answer is 0.45359237.
Step-by-step explanation:
I assume you are converting between kilogram and pound.
Answer:
2.20462
Step-by-step explanation:
1000 / 455 = 2.20462
PLS HELP! THE THING IS IN THE PHOTO!!!!!!!!!! I WILL GIVE YOU BRAINLIEST IF U GIVE ME THE RIGHT ANSWER!!!!!
An exponential model best describes this set of data.
How to classify the functions?A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.For the value in this problem, which is the output, it has a constant ratio, as:
21093.75/28125 = 28125/37500 = 37500/50000 = 0.75.
Hence an exponential model best describes this set of data.
More can be learned about functions at https://brainly.com/question/24808124
#SPJ1
Help I will be marking brainliest!!!
A. 36√3
B. 36
C. 24
D. 24√3
Show work, if possible. Thanks❤️
Answer:
im not good with trigangles but illtry to help
Step-by-step explanation:
Answer:
Step-by-step explanation:
\(sin60=\frac{HR}{72}\\ \\ HR=72sin60\\ \\ \text{They are checking to see if you know the relationships of the 30,60,90 triangle whos sides opposite of those angles are }1,\sqrt{3},2\\ \\ sin60=\frac{\sqrt{3}}{2}\\ \\ HR=\frac{72\sqrt{3}}{2}\\ \\HR=36\sqrt{3}\)
The Bay announced it would open a 9000-plus square metre freestanding store in the new West Grand Promenade. This would be the largest store on the promenade, with other smaller stores selling food, tires, and shoes. How else can this particular Bay store be described
This Bay store can also be described as a big box retailer store.
Big Box Retailer
A big box retailer is a physically enormous retail store that is typically a component of a chain of stores (also known as a hyper store, supercenter, superstore, or megastore). By extension, the phrase, big box retailer can also refer to the business that runs the store.
The Bay Store as a Big Box
There are numerous retail chains that only operate in Canada, aside from the large American big box retailer stores like Walmart Canada and the formerly-existent Target Canada. These include places like Hudson's Bay by Home Outfitters, Loblaws by Real Canadian Superstore, Rona, Winners by HomeSense, Canadian Tire by Mark's & Sport Chek, Shoppers Drug Mart, Chapters by Indigo Books and Music, Sobeys, and several others.
Learn more about big box retailers here:
https://brainly.com/question/16236924
#SPJ4
Which of the pairs of functions and their inverses will always have a domain and range of all real numbers?
Answer:
A pair of linear functions
Step-by-step explanation:
Given
See comment for options
Required
Which has real numbers as its range and domain
The answer to this is, the linear functions
Take for instance
\(f(x) = mx + b\)
The above function is real for all values of x
The inverse is calculated as thus:
\(f(x) = mx + b\)
Replace f(x) with y
\(y = mx + b\)
Swap y and x
\(x = my + b\)
Make y the subject
\(my = x - b\)
Divide by m
\(y = \frac{x - b}{m}\)
Replace y with the inverse function
\(f^{-1}(x) = \frac{x - b}{m}\)
The above function (i.e. the inverse function) is real for all values of x
This is not true for other options