Type I regions- ∫∫R f(x,y)dA = ∫b x=a ∫h(x) y=g(x) f(x,y) dy dx
Type II regions- ∫∫R f(x,y)dA = ∫d y=c ∫h(y) x=g(y) f(x,y) dx dy
What is the type I and type II regions?Curves of type I can be described for yy in terms of xx and often "lay above and below" one another.
Type II curves, on the other hand, can be defined for xx in terms of yy and are more or less "left and right" of one another.
Type II regions can be divided into horizontal slices, but Type I regions can be divided into vertical slices.
When a location is simultaneously classified as Type I and Type II, you can choose to examine it in any manner.
Type I regions are regions that are bounded by vertical lines x=a and x=b, and curves y=g(x) and y=h(x), where we assume that g(x)<h(x) and a<b. Then we can integrate first over y and then over x:
∫∫R f(x,y)dA = ∫b x=a ∫h(x) y=g(x) f(x,y) dy dx
Type II regions are bounded by horizontal lines y=c and y=d, and curves x=g(y) and x=h(y), where we assume that g(y)<h(y) and c<d. Then we can integrate first over x and then over y:
∫∫R f(x,y)dA = ∫d y=c ∫h(y) x=g(y) f(x,y) dx dy
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37. The sum of two numbers is 86. The larger number is nine less than four times the smaller number. Find both numbers.
The larger number is 67 while the smaller number will be 19 for the given condition.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given,
Suppose the larger number is x while the smaller number is y.
Sum will be as x + y = 86
The larger number is nine less than four times the smaller number.
x = 4y - 9
By substitution,
4y - 9 + y = 86
5y = 95
y = 19
x = 86 - 19 = 67
Hence "For the specified condition, the greater number is 67 and the smaller number is 19".
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1 . What is the distance between the two points. (0,5 1,3), (-0,4, -1,3) ?
Answer:
Step-by-step explanation:
x1 = 0.5 x2 = -0.4 y1 = 1.3 y2 = -1.3
[tex]\sqrt{(x2 - x1)^{2}+(y2 - y1)^{2}[/tex]
[tex]\sqrt{(-0.4 - 0.5)^{2}+(-1.3 - 1.3)^{2}[/tex]
=2.75
Laura opened a savings account with an initial deposit of $200. Each month she adds $50 to the account. Now she has $650.
a. Write an equation in slope intercept form that gives the total amount Laura has in her savings account after x months
b. How many months has Laura been putting money into the account? Explain your answer.
C. Laura's brother also opened a savings account with $200, but his monthly deposit is not the same as Laura's Describe the similarities and differences between the equation and graph describing the amount of money in Laura's account and the equation and graph describing the amount of money in her brother's account
Answer:
Laura has been adding $50 to her savings every month which means the equation would be 200 + 50 for each month that she has been adding to her saving account, Laura has been putting money in her saving for nine months since each month shes adding $50, The similiarties are that they both opened an account with $200 but the differences is that Laura has been adding $50 and Lauras brother has been adding a different amount as Laura.
Step-by-step explanation:
Anyone know how to answer this question
9514 1404 393
Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225
House price y is estimated as a function of the square footage of a house x and a dummy variable d that equals 1 if the house has ocean views. The estimated house price, measured in $1,000s, is given by yˆ = 118.90 + 0.12x + 52.60d. a-1. Compute the predicted price (in $1,000s) of a house with ocean views and square footage of 2,000. (Round intermediate calculations to at least 4 decimal places. Round your answer to 2 decimal places.) a-2. Compute the predicted price (in $1,000s) of a house with ocean views and square footage of 3,000. (Round intermediate calculations to at least 4 decimal places. Round your answer to 2 decimal places.) b-1. Compute the predicted price (in $1,000s) of a house without ocean views and square footage of 2,000. (Round intermediate calculations to at least 4 decimal places. Round your answer to 2 decimal places.) b-2. Compute the predicted price (in $1,000s) of a house without ocean views and square footage of 3,000. (Round intermediate calculations to at least 4 decimal places. Round your answer to 2 decimal places.) c. Discuss the impact of ocean views on the house price. multiple choice An ocean view increases the value of a house by approximately $52,600. An ocean view decreases the value of a house by approximately 10%. An ocean view decreases the value of a house by approximately $52.600. An ocean view increases the value of a house by approximately 10%.
Answer:
a-1. The predicted price of a house with ocean views and square footage of 2,000 is $411,500.00.
a-2. The predicted price of a house with ocean views and square footage of 3,000 is $531,500.00.
b-1. The predicted price (in $1,000s) of a house without ocean views and square footage of 2,000 is $358,900.
b-2. The predicted price of a house without ocean views and square footage of 3,000 is $478,900.00.
c. The correct option is An ocean view increases the value of a house by approximately $52,600.
Step-by-step explanation:
Given:
yˆ = 118.90 + 0.12x + 52.60d ………………. (1)
a-1. Compute the predicted price (in $1,000s) of a house with ocean views and square footage of 2,000. (Round intermediate calculations to at least 4 decimal places. Round your answer to 2 decimal places.)
This implies that we have:
x = 2,000
d = 1
Substituting the values into equation (1), we have:
yˆ = 118.90 + (0.12 * 2000) + (52.60 * 1) = 411.50
Since the predicted price is in $1,000s, we have:
yˆ = 411.50 * $1000
yˆ = $411,500.00
Therefore, the predicted price of a house with ocean views and square footage of 2,000 is $411,500.00.
a-2. Compute the predicted price (in $1,000s) of a house with ocean views and square footage of 3,000. (Round intermediate calculations to at least 4 decimal places. Round your answer to 2 decimal places.)
This implies that we have:
x = 3,000
d = 1
Substituting the values into equation (1), we have:
yˆ = 118.90 + (0.12 * 3,000) + (52.60 * 1) = 531.50
Since the predicted price is in $1,000s, we have:
yˆ = 531.50 * $1000
yˆ = $531,500.00
Therefore, the predicted price of a house with ocean views and square footage of 3,000 is $531,500.00.
b-1. Compute the predicted price (in $1,000s) of a house without ocean views and square footage of 2,000. (Round intermediate calculations to at least 4 decimal places. Round your answer to 2 decimal places.)
This implies that we have:
x = 2,000
d = 0
Substituting the values into equation (1), we have:
yˆ = 118.90 + (0.12 * 2000) + (52.60 * 0) = 358.90
Since the predicted price is in $1,000s, we have:
yˆ = 358.90 * $1000
yˆ = $358,900.00
Therefore, the predicted price of a house without ocean views and square footage of 2,000 is $358,900.00.
b-2. Compute the predicted price (in $1,000s) of a house without ocean views and square footage of 3,000. (Round intermediate calculations to at least 4 decimal places. Round your answer to 2 decimal places.)
This implies that we have:
x = 3,000
d = 0
Substituting the values into equation (1), we have:
yˆ = 118.90 + (0.12 * 3,000) + (52.60 * 0) = 478.90
Since the predicted price is in $1,000s, we have:
yˆ = 478.90 * $1000
yˆ = $478,900.00
Therefore, the predicted price of a house without ocean views and square footage of 3,000 is $478,900.00.
c. Discuss the impact of ocean views on the house price.
Since the coefficient of d in equation (1) is 52.60 and positive, and the predicted price is in $1,000s; the correct option is An ocean view increases the value of a house by approximately $52,600.
Which box plot correctly displays the data set with a maximum of 48, a minimum of 27, a median of 36, an upper quartile of 45, and a lower quartile of 32?
(please refer to the answer like this: Image [number])
Answer:
Image 1
Step-by-step explanation:
To answer this question, we need to know how to use a box plot.
I've attached an image that demonstrates this well and can teach you what each part of the box plot means.
Specifically, the 2 farthest dots at the end are the minimum and maximum. The two sides where the box starts are the lower and upper quartiles. Finally, the line in the middle of the box is the median.
With this, we can analyze each box plot and determine which one is correct.
Box Plot 1: Everything is plotted correctly- Maximum and minimum plotted correctly, median plotted correctly, upper and lower quartile plotted correctly.
Box Plot 2: Everything plotted correctly EXCEPT maximum of 48 is represented at 46.
Box Plot 3: Everything plotted correctly EXCEPT the upper quartile of 45 is at 39.
Box Plot 4: Upper quartile represented at 39 and maximum represented at 46 are both incorrect.
An cylindrical oatmeal container has a diameter of 5 inches and a volume of 239.425 in³. What measurement is closest to the lateral surface area of the oatmeal container?
A 230.81 in.2
B 191.54 in.2
C 15.24 in.2
D 478.85 in.2
Answer:
The answer is 15.24in.2
Step-by-step explanation:
I did the math and multiplied random numbers between 15 and 15.50 and eventually I got 239.425 by multiplying 15.24 with 3.14 and 2. The correct answer is actually 15.25 but on the test I guess they rounded it. Plz give brainliest.
Which of the following is the correct interpretation of
P(X > 4)?
Standardized tests for certain subjects, given to high
school students, are scored on a scale of 1 to 5. Let X
represent the score on a randomly selected exam. The
distribution of scores for one subject's standardized test
is given in the table.
Score
1
2
3
4
5
O The probability of a randomly selected test having a
score of at most 4 is 0.36.
O The probability of a randomly selected test having a
score of at least 4 is 0.36.
O The probability of a randomly selected test having a
score lower than 4 is 0.85.
O The probability of a randomly selected test having a
score higher than 4 is 0.15.
Probability
0.18
020
0.26
0.21
0.15
Mark this and return
Save and Exit
Next
Submit
A newsletter publisher believes that 60`% of their readers own a Rolls Royce. A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. After performing a test at the 0.020.02 level of significance, the testing firm fails to reject the null hypothesis. What is the conclusion regarding the publisher's claim
Answer:
The conclusion, since the null hypothesis was not rejected, is that the proportion of readers of the newsletter who own a Rolls Royce is significantly close to 0.6.
Step-by-step explanation:
A newsletter publisher believes that 60`% of their readers own a Rolls Royce.
This means that the null hypothesis is: [tex]H_{0}: p = 0.6[/tex]
That is, that the proportion of their readers who own a Rolls Royce is of 0.6.
A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim.
The alternate hypothesis is: [tex]H_{a}: p \neq 0.6[/tex]
After performing a test at the 0.020.02 level of significance, the testing firm fails to reject the null hypothesis. What is the conclusion regarding the publisher's claim?
The conclusion, since the null hypothesis was not rejected, is that the proportion of readers of the newsletter who own a Rolls Royce is significantly close to 0.6.
15 is 9 more than j.
As an equation.
Among the most famous of all meteor showers are the Perseids, which occur each year in early August. In some areas the frequency of visible Perseids can be as high as 40 per hour. What is the probability that an observer who has just seen a meteor will have to wait at least 5 minutes before seen another.
Answer:
the required probability is 0.0357
Step-by-step explanation:
Given the data in the question;
X-Exp( λ = 40/60 = 0.6667
Pdf: f( x ) = λe^(-λx), 0 < x
so
Cdf: P( X < x ) = 1 - e^(-λe)
( X ≤ x ) = 1 - e^(-λe), for x > 0 ⇒ p( X > x ) = e^(-λe)
now to wait at least 5 minutes before seen another
p(X > 5 ) = e^(-λe)
we substitute
p(X > 5 ) = e^(-0.6667 × 5)
p(X > 5 ) = e^(-3.3335)
p(X > 5 ) = 0.035668 ≈ 0.0357
Therefore, the required probability is 0.0357
Suppose the buildings on Main Street are renumbered as if they are on a number line so that the location of the fire station represents 0. How do we describe two numbers with the same distance from 0?
☁️ Answer ☁️
Yh, im not helping you.
Fasteners are manufactured for an application involving aircraft. Each fastener is categorized either as conforming (suitable for its intended use), downgraded (unsuitable for its intended use but usable for another purpose), and scrap (not usable). It is thought that 85% of the fasteners are conforming, while 10% are downgraded and 5% are scrap. In a sample of 500 fasteners, 410 were conforming, 55 were downgraded, and 35 were scrap. Can you conclude that the true percentages differ from 85%, 10%, and 5%
Answer:
The true percentage actually differ from 85%, 10%, and 5%chi-square statistic. = 5.0294Step-by-step explanation:
85% of fasteners = conforming
10% of fasteners = downgraded
5% of fasteners = scrap
In a sample size of 500 fasteners
410 = conforming , 55 = downgraded,
The true percentage actually differ from 85%, 10%, and 5% as shown below
Observed Expected
conforming 410 500*0.85 = 425
Downgraded 55 500*0.10 = 50
Scrap 35 500 * 0.05 = 25
Test statistic
determine the test statistic
= [ (410 - 425)2 / 425 + (55 -50)2 / 50 + (35 - 25)2 / 25 ]
chi-square statistic. = 5.0294
PLEASE HELP 25 POINTS
The topographic map shows the location of a park ranger at Point X when a message is received that an injured hiker needs help at Point Z.
Which answer correctly identifies the elevations of both points on the map?
Point X= 1500m, Point Z= 2000m
Point X= 1550m, Point Z= 1600m
Point X= 1600m, Point Z= 2050m
Point X= 2050m, Point Z= 1600m
Answer:Point X= 1600m, Point Z= 2050m
Step-by-step explanation:
help help help help help helo help
Answer:
50.27
452.39
0.79
Step-by-step explanation:
A=πr2=π·42≈50.26548
A=πr2=π·122≈452.38934
A=πr2=π·0.52≈0.7854
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-1,4) and (8, 2)
Answer:
9.2 ([tex]\sqrt{85[/tex][tex]\sqrt{85}[/tex])
Step-by-step explanation:
square root of (8-(-1))^2 + (2-4)^2) which is square root of 85 which is approximately 9.2 rounded to the nearest tenth
Answer:
9.2
Step-by-step explanation:
Pls help with question.
Answer:
4a) 4 1/6
4b) 2
5a) 36.424
5b) 5.4
Step-by-step explanation:
When multiplying or dividing by mixed numbers, convert them into improper and just do it from left to right for each numerator and denominator
Which of the options don’t belong pls look at photo
A resort hotel rents bicycles for 20 plus and hourly rate of $6. A nearby hotel rents bicycles for 15$ plus an hourly rate of $8
WILL MARK BRAINLY FOR WHO EVER ANSWERS THIS FIRST
Answer:
(0,1)
Step-by-step explanation:
the answer is (0,1)
Which equation represents circle k shown in the graph below? Help plz
Answer:
-5-1
Step-by-step explanation:
A bag contains only green balls and red balls. A ball is taken at random from the bag. The probability
of taking a green ball is 0.38. Write down the probability of taking
(a)
a red ball,
Answer: (a)
[
1]
(b)
a blue ball.
Answer: (b)
[1]
Answer:
0step by step explanation because no blue in the bag
10) Triangle GHK has an area of 273cm². Write and solve an equation to find the height, h, of triangle GHK
base is 26 cm
Answer:
21cm
Step-by-step explanation:
A=(b*h) /2-->h=(2*A)/b-->
h=(2*273)/26-->
h=21 cm
after months of negotiations,jabus annual salary was increased by 6,5percent to R330 000. determine his previous monthly salary and the monthly increase he will be getting
Answer:
previous monthly salary is R 308,550 and increment is R 21,450
Step-by-step explanation:
Let the previous monthly salary be x
Current salary = R 330,000
Percent increase = 6,5%
Increase = 6.5% * 330,000
Increase = 0.065 * 330,000
Increase = Rs21,450
Previous salary = 330,000 - 21,450
Previous salary = 308,550
Hence previous monthly salary is R 308,550 and increment is R 21,450
Aiden scored 228 points in 12 games. What is his scoring rate in points game?
Answer:
19 ppg
Step-by-step explanation:
Find the surface area
No link please and thank you
A runner moves 8 miles every 1 minute. Write and graph an equation in two variables that shows the relationship between time and distance
Answer:
what grade is this?
Step-by-step explanation:
k is no greater than 9
Answer:
Agree with u98888888888
Answer:
i agreee
Step-by-step explanation:
given two negative numbers one is more than the other their product is 15 find the numbers.
Answer:
-5 and -3
Step-by-step explanation:
-5 x -3= 15 since - x - is +1. What is 2/100 + 7/10?
Answer:
18/25
Step-by-step explanation:
2/100: left alone. You can reduce the answer later.
7/10: Multiply numerator and denominator by 10
7*10 = 70
10*10 = 100
Result: 70/100
Now add
2/100 + 70/100 = 72/100
Now reduce. Top and bottom can be divided by 4
72/4 = 18
100/4 = 25
Answer 18/25