Answer:
525 foot is the answer
Different hotels in a certain area are randomly selected, and their ratings and prices were obtained online. Using technology, with x representing the ratings and y representing price, we find that the regression equation has a slope of 120 and a y-intercept of negative 353.
What is the equation of the regression line?
Select the correct choice below and fill in the answer boxes to complete your choice.
A) y=..+(..)^x
B) y=..+(..)^x
C) y=..+(..)^x
D) y=..+(..)^x
Answer:
y = -353 + 120xStep-by-step explanation:
First step is using a linear regression equation:
In a linear regression model y = b0 + b1x
where y be the response variable
and x be the predictor variable.
let b1 = slope
b0 = intercept of the line.
Let the variable ratings be by denoted by x and the variable price be denoted by y.
From the given information it is known that, price (y) is response variable and ratings (x) predictor variable.
Therefore, price can be predicted using ratings.
Second step is to obtain the regression equation of the variables price (y) and ratings (x):
so the slope of the regression equation is 120 and the y-intercept is -353.
then b0 = -353
therefore,
(price)y = b0 + b1x (ratings)
y = -353 + 120x
The equation of the regression line is y = -353 + 120x.
Given that,
The regression equation has a slope of 120 and a y-intercept of negative 353.Based on the above information, the equation is as follows:
y = -353 + 120x
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Mofor has homework assignments in five subjects. He only has time to do two of
them.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.
If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:
1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.
2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.
3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.
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Tell whether each ordered pair is a solution of the equation: 2x - y = 4, ( 3, -2 )
The ordered pair (3, - 2) is not a solution to the equation 2x - y = 4
What is an ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
Pair in Order = (x,y)
x is the abscissa, the distance measure of a point from the primary axis x
y is the ordinate, the distance measure of a point from the secondary axis y
Given, an equation 2x - y = 4 now if (3, - 2) is an ordered pair then putting the numerical value of x must satisfy the y value.
when x = 3,
2(3) - y = 4.
6 - y = 4.
- y = 4 - 6.
- y = - 2.
y = 2.
So, (3, - 2) is not a solution to an equation 2x - y = 4.
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Owen receives $10 and puts it into his saving account. He adds $0.50 to the account each day for a number of day, d, after that. He writes the expression 10+ 0.5(d-1) to find the amount of money in his account after d days. Which statement about his expression is true?
The true expression about the account is D.) It is the sum of the initial amount and the additional amount after d days.
What does the expression 10+0.5(d−1) represent in Owen's savings account?The answer is D because it represents the sum of the initial amount and the additional amount after d days. The initial amount is $10 and Owen adds $0.50 to the account each day for a number of days, represented by d.
By subtracting 1 from d, the expression ensures that on the first day (when d=1), only the initial $10 is counted. On each subsequent day, the additional amount of $0.50 is added to the total. Therefore, the expression 10+0.5(d−1) gives the amount of money in Owen's account after d days.
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when accessing your credit card ,information online you cannot
Answer:
C. make purchases
Step-by-step explanation:
took the test
Martin wants to buy a new bedroom set that cost $1590 including tax. Unfortunately he doesn’t have $1590 so he secures a 2 year loan from the furniture store at 9% interest to be repaid in 254 equal monthly installments. Find the monthly payment
The monthly Payment of a 2-year loan of $1590 with 9% interest that needs to be repaid in 254 equal monthly installments is approximately $11.92.
The monthly payment of a 2-year loan of $1590 with 9% interest which needs to be repaid in 254 equal monthly installments, we need to use the loan repayment formula. The formula is given as:
Monthly Payment = (Loan Amount x Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))
Here,
Loan Amount = $1590
Interest Rate = 9% per annum
Time = 2 years = 24 months
number of Months = 254 (as there are 254 monthly installments)
First, we need to calculate the Monthly Interest Rate using the following formula:
Monthly Interest Rate = Annual Interest Rate / 12
The Annual Interest Rate is 9%,
so the Monthly Interest Rate is: Monthly Interest Rate = 9 / 12 = 0.75%Putting the given values into the loan repayment formula,
we get: Monthly Payment = (1590 x 0.0075) / (1 - (1 + 0.0075)^(-254))= 11.92 (approx)
Therefore, the monthly payment of a 2-year loan of $1590 with 9% interest that needs to be repaid in 254 equal monthly installments is approximately $11.92.
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Show two different ways to write the decimal 78.406
Two different ways to write the decimal, 78.406 are:
(7 × 10) + (8 × 1) + (4 × 0.1) + (0 × 0.01) + (6× 0.001)7.8406 x 10¹What are other ways of writing decimals?One other way of writing decimals is by writing it in expanded form. A decimal in expanded form would see you multiplying the digits by their respective places.
Decimal 78.406 in expanded form is:
= (7 × 10) + (8 × 1) + (4 × 0.1) + (0 × 0.01) + (6× 0.001)
You can also use scientific notation which allows you to multiply the number by a power of 10 based on the number of digits after the decimal.
In scientific notation, the number 78.406 is:
= 7.8406 x 10¹
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Out of 200 students in a senior class, 32 seniors are in the band and 64 seniors are in the band or on the honor roll. What is the probability that a randomly selected senior is both in the band and on the honor roll? Express your answer a fraction in simplest form.
The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.
Given:
Total number of seniors = 200
Number of seniors in the band = 32
Number of seniors in the band or on the honor roll = 64
Let's calculate the probability using these values:
Probability = Number of seniors in both categories / Total number of seniors
Probability = 64 / 200
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:
Probability = (64 ÷ 8) / (200 ÷ 8)
Probability = 8 / 25
Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
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solve the absolute value equation
2 = |x|-1
If you're looking for x, then:
2 = |x|-1
lxl-1 = 2
lxl-1+1=2+1
lxl=3
so x = -3, x=3
analyze the map below and answer the question that follows. The region labeled with the number five on the map above is known as the
A.great basin
B.great plains
C.coastal plains
D.rocky mountains
Answer: C.coastal plains
Step-by-step explanation: I did the quiz
Answer:
Coastal plains:
Step-by-step explanation: It the coastal plains because if you look at a Social studies book and look at a pic of the pictue shown it describes it and tells you what it is.
5x-11=3x+5 solve for ”x”
Answer:
x = 8
Step-by-step explanation:
Step 1: Write equation
5x - 11 = 3x + 5
Step 2: Solve for x
Subtract 3x on both sides: 2x - 11 = 5
Add 11 to both sides: 2x = 16
Divide both sides by 2: x = 8
Step 3: Check
Plug in x to verify it is a solution.
5(8) - 11 = 3(8) + 5
40 - 11 = 24 + 5
29 = 29
If x = 2 and y = 6 , evaluate the following expression: 100 − 3 ( 3 y − 4 x )
Answer:
70
Step-by-step explanation:
100 - 3 ( 3(6) - 4(2) )
100 - 3 (18-8)
100 - 3 (10)
100 - 30= 70
What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?
$$
The y-intercept of the line representing Beatrice's monthly music is 20
How to determine the y-intercept of the lineFrom the question, we have the following parameters that can be used in our computation:
y = -.95x + 20
To calculate the y-intercept of the line, we set x = 0
So, we have
y = -.95 * 0 + 20
Evaluate
y = 20
Hence, the y-intercept of the line representing Beatrice's monthly music is 20
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Question
What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?
The equation is y = -.95x + 20
g The weight of a certain type of apple is normally distributed with a mean of 10.56 ounces and standard deviation of 0.9 ounces. What is the first quartile, Q subscript 1, of the weight of this type of apple?
Answer:
First Quartile Q1 = 9.9525
Step-by-step explanation:
For a standard normal distribution,
First quartile Q1 = μ - 0.675 σ
From the question mean μ = 10.56
Standard deviation σ = 0.9
Plugging these values into the first quartile equation, we have;
Q1 = 10.56 -0.675(0.9)
Q1 = 10.56 - 0.6075
Q1 = 9.9525
Please help me guys also i would like the answer to be type out instead of a pic of it alot more easier for me thanks
Answer:I think it’s 10718.571428571 but rounded to a tenth it’s 10724.6
Step-by-step explanation: 10,150+10211+10424+10769+10844+11155+11477 divided by 7 equals 10718.571428571 or 10724.6.
Convert the improper fraction below to a mixed number. 13/4
Answer:
3 1/4
Step-by-step explanation:
Use the image to determine the direction and angle of rotation. Graph of triangle ABC in quadrant 1 with point A at 1 comma 3. A second polygon A prime B prime C prime in quadrant 4 with point A prime at 3 comma negative 1. 90° clockwise rotation 180° clockwise rotation 180° counterclockwise rotation 90° counterclockwise rotation
Please look at the photo. Thank you.
a) A function that gives the area of the playground (in square meters) in terms of x is A(x) = 60x - x².
b) The side length that gives the maximum area that the playground can have is x = 30 m.
c) The maximum area that the playground can have is 900 m².
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths, we have:
120 = 2(x + W)
60 = x + W
W = 60 - x
Therefore, the area of the rectangular playground (in terms of x) is given by this function;
A = LW
A(x) = x(60 - x)
A(x) = 60x - x²
Part b.
For the side length, we would take the first derivative of the area:
A(x) = 60x - x²
A'(x) = dA/dx
A'(x) = 60 - 2x
60 - 2x = 0
x = 60/2
x = 30 m
Part c.
W = 60 - x
W = 60 - 30
W = 30 m.
Therefore, the maximum area is given by;
A = 30 × 30
A = 900 m².
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How would you answer this?
Answer:
3 1/2hours
Step-by-step explanation:
First subract 24 from 66 then divide that number by 14. The equation looks like this. Y is the cost X is the time.
y=14x+24
please brainliest
Happy holidays
We use bar notation to show that a decimal is termin
Answer:
Just divide the numerator by the denominator . If you end up with a remainder of 0 , then you have a terminating decimal. Otherwise, the remainders will begin to repeat after some point, and you have a repeating decimal..
Explanation:
Hope it helps you..
If i am wrong, j-just correct me,okay??..
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But..
Y-your welcome in advance..
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A clothing store is selling a pair of jeans for $18 and a sweatshirt for $12. Which inequality shows the number of sweatshirts Alee can buy along with one pair of jeans if she has $90 to spend? Assume that there is no sales tax.
To solve this problem we must first generate the equation:
\(\begin{gathered} x\to sweatshirt \\ y\to jean \\ Ax+By=90 \\ y=18 \\ x=12 \end{gathered}\)From the exercise we know that you are only going to buy a pair of jeans:
\(\begin{gathered} 12\cdot A+18\cdot B\le90 \\ B=1 \\ 12A+18\cdot(1)\le90 \\ 12A\le90-18 \\ 12A\le72 \\ A\le\frac{72}{12} \\ A\le6 \end{gathered}\)Alee can buy 1 jean and a maximum of 6 sweatshirts with $90
What is
24
1,000
as a decimal?
How much is 4+2x(10-5)
The graph shows the cost,c, in dollars of using a food-delivery service for w weeks which equation represents the cost of food-delivery service?
A c=1/60w
B w=60c
C c=60w
D c=60
show ur work plsssssssssssssss
Picture:
The equation for a straight line can be found if its slope and coordinate of the point it passes through is given. The equation for the given graph is c = 60w. The correct answer is option C.
What is the equation for a straight line?A straight line can be written in the form of equation as, y = mx + c.
Two straight lines intersect each other only at one point.
When two straight lines are parallel to each other the angle between them is zero.
Given that,
The cost of food delivery is taken as c.
The number of weeks is w.
Since the graph given in the problem is a straight line, in order to find its equation its slope has to be found as follows,
From the graph, it is clear that at w = 2, c = 120.
Now, there are two points for the given straight line as (0, 0) and (2, 120).
Thus, the slope is given by (120 - 0) / (2 - 0) = 60
Then the equation for the straight line is,
(c - 0) / (w - 0) = 60
=> c = 60w
Hence, the equation of the given graph is c = 60w.
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I NEED HELP PLEASE HELP ME
Answer:
x=13.45
Step-by-step explanation:
This is a right triangle. We know this because of the little square in the corner that represents a right angle. Therefore, we can use the Pythagorean Theorem.
a^2+b^2=c^2
where a and b are the legs and c is the hypotenuse.
In this triangle, 10 and 9 are the legs, because they form the right angle. x is the hypotenuse, because it is opposite the right angle.
a=10
b=9
c=x
Substitute these values into the equations.
10^2+9^2=x^2
Evaluate the exponents on the left side.
10^2=10*10=100
100+9^2=x^2
9^2=9*9=81
100+81=x^2
Add 100 and 81
181=x^2
Since x is being squared, take the square root of both sides. The square root and the exponent will cancel, and leave x by itself.
√181=√x^2
√181=x
13.4536240471=x
Round to the nearest hundredth. The 3 in the the thousandth place tells us to leave the 5 in the hundredth place as is.
13.45=x
The hypotenuse of the triangle is 13.45
which length is 25 m longer than its width. Knowing that the length is 9/4 of it's width. Find area of the rectangle
Answer:
56.25
Step-by-step explanation:
9/4×25
=225/4
=56.25
Evaluate √(13 +2i)^4
Answer:
(165 + 52 i)
Step-by-step explanation:
We are given the expression:
√(13+2i)⁴
the square root can also be written as the power of 1/2
\((13 + 2i)^{4 * 1/2}\)
(13 + 2i)²
(13)² + (2i)² + 2(13)(2i) [(a + b)² = a² + b² + 2ab]
169 + 4(i²) + 52i
169 - 4 + 52i [i² = -1]
(165 + 52 i)
How to find the inverse for f(x) = 2x-6
Answer:
The inverse is 1/2x +3
Step-by-step explanation:
f(x) = 2x-6
Replace f(x) with y
y= 2x-6
Exchange x and y
x = 2y-6
Solve for y
Add 6 to each side
x+6 = 2y-6+6
x+6 = 2y
Divide each side by 2
(x+6)/2 = 2y/2
1/2 x+3 = y
The inverse is 1/2x +3
Answer:
\({f}^{ - 1} (x) = \frac{x + 6}{2} \\ \)Step-by-step explanation:
\(f(x) = 2x-6\)
To find the inverse of f(x) , equate f(x) to y that's
\(y = 2x - 6\)
Next interchange the terms that's x becomes y and y becomes x
\(x = 2y - 6\)
Next solve for y
Move 6 to the other side of the equation
That's
\(2y = x + 6\)
Divide both sides by 2 to make y stand alone
\( \frac{2y}{2} = \frac{x + 6}{2} \\ \\ y = \frac{x + 6}{2} \)
We have the final answer as
\( {f}^{ - 1} (x) = \frac{x + 6}{2} \\ \)
Hope this helps you
Use what you know about intersecting lines to label the missing and
picture below.
35°
X
type of angle pair:
zoom in
X =
OManeuvering the Middle LLC, 2016, 2022
Answer:
x = 145
Step-by-step explanation:
x and 35° lie on a straight line and are supplementary angles , sum to 180°
x + 35 = 180 ( subtract 35 from both sides )
x = 145
Which equation matches the graph?
A 5x+4y=10
B. 4x + 2y = 10
C. 8x+ 5y = 40
D. 5x-8y = 40
Answer: jnriendwindine
Step-by-step explanation: