Answer:
$104
Step-by-step explanation:
The computation of the best point estimate for the mean monthly water bill is shown below:
Given that
The mean monthly water bill is $104
and, the number of residents is 44
based on the above information
The best point estimate would be equivalent to the mean monthly water bill i.e. $104
hence, the same would be considered
POSSIBLE
Name the relationship: complementary, supplementary, vertical, or adjacent.
1)
2)
b
b
A) supplementary
B) complementary
C) corresponding
D) alternate interior
A) complementary
B) vertical
C) alternate exterior
D) alternate interior
3)
4)
I
Let f be defined by the function f(x) = 1/(x^2+9)
(a) Evaluate the improper integral [tex]\int\limits^{∞}_3 {f(x)} \, dx[/tex] or show that the integral diverges
(b) Determine whether the series ∑n=3∞ f(n) converges or diverges State the conditions of the test used for determining convergence or divergence
(c) Determine whether the series ∑n=1∞(−1)n(en⋅f(n))=∑n=1∞(−1)n(n2+9)en converges absolutely, converges conditionally, or diverges (image put below)
(a)
[tex]\displaystyle\int_3^\infty \frac{\mathrm dx}{x^2+9}=\lim_{b\to\infty}\int_{x=3}^{x=b}\frac{\mathrm dx}{x^2+9}[/tex]
Substitute x = 3 tan(t ) and dx = 3 sec²(t ) dt :
[tex]\displaystyle\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\frac{3\sec^2(t)}{(3\tan(t))^2+9}\,\mathrm dt=\frac13\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\mathrm dt[/tex]
[tex]=\displaystyle \frac13 \lim_{b\to\infty}\left(\arctan\left(\frac b3\right)-\arctan(1)\right)=\boxed{\dfrac\pi{12}}[/tex]
(b) The series
[tex]\displaystyle \sum_{n=3}^\infty \frac1{n^2+9}[/tex]
converges by comparison to the convergent p-series,
[tex]\displaystyle\sum_{n=3}^\infty\frac1{n^2}[/tex]
(c) The series
[tex]\displaystyle \sum_{n=1}^\infty \frac{(-1)^n (n^2+9)}{e^n}[/tex]
converges absolutely, since
[tex]\displaystyle \sum_{n=1}^\infty \left|\frac{(-1)^n (n^2+9)}{e^n}\right|=\sum_{n=1}^\infty \frac{n^2+9}{e^n} < \sum_{n=1}^\infty \frac{n^2}{e^n} < \sum_{n=1}^\infty \frac1{e^n}=\frac1{e-1}[/tex]
That is, ∑ (-1)ⁿ (n ² + 9)/eⁿ converges absolutely because ∑ |(-1)ⁿ (n ² + 9)/eⁿ| = ∑ (n ² + 9)/eⁿ in turn converges by comparison to a geometric series.
Please help me with this
A dress is on sale for 35\% off of the regular price.
If d represents the regular price of the dress, which expression represents the sale price of the dress?
A.
0.35d
B.
0.65d
C.
1.35d
D.
1.65d
PART B
Use the information from Part A to answer the question below. The regular price of a dress is $90, determine the sale price of the dress.
The sale price of the dress is $
.
Answer:
Expression that represents the sale price of the wedding dress is
Solution:
Given that, the dress is on sale for 35 % off the regular price
Let the regular price of dress be "w"
To find: Expression that represents the sale price of the wedding dress
Let "s" be the sale price of wedding dress
Sale price = Regular price - discount price
Discount price is given as:
Discount price = 35 % of regular price
Discount price = 35 % of w
Thus discount price = 0.35w
Expression for the sale price of the wedding dress:
Sale price = Regular price - discount price
s = w - 0.35
s = 0.65
s= 0.65
Thus expression that represents the sale price of the wedding dress is
s=0.56
What is the area of a triangle when the base = 4cm and the height = 6cm? (use your resources ;-) )
Group of answer choices
a.6 square centimeters
b./12 square centimeters
c.18 square centimeters
d.24 square centimeters
Answer is in the file below
tinyurl.com/wpazsebu
Samantha wants to move into an apartment when she begins school in the fall. Right now she
has a job where she makes $250 a week working 20 hours and will be able to keep this job once
she begins school. Her parents have decided to put $500 a month in for extras that she might
need once she begins school. Although Samantha is very excited about moving into an
apartment, she wants your advice on where to begin preparing for her move. She wants to put
together a budget but has no idea where to begin.
Explain to Samantha how to set up her budget.
a
b. Once Samantha has a budget, what should she consider when determining if moving
out when she is beginning school is a good idea or not. Give specific reasons why this
might be a good or bad idea.
Answer:
she should set up a budget on how much she makes
Step-by-step explanation:
factorise x^{2} +2x-24[/tex]
Answer:
(x + 6)(x - 4)
Step-by-step explanation:
x² + 2x - 24
(x + 6)(x - 4)
-4 and +6 multiply to 24 and add to +2.
PLEASE NO LINKS I REALLY NEED HELP
Help shefeejhrhrhhtuy
Answer:
c. 80,360
Step-by-step explanation: multiply the number of cases they make each day by the amount of pastries each case contains
Write the slope intercept form of the equation of the line. x + 8y = 24
what is x in 5x - ((2x-1)÷2) = 5
Answer:
5x - ((2x-1)÷2) = 5-----(1)
(1) multiply by 2;
2 *(5x - ((2x-1)÷2) = 5)
10x - (2x-1) = 10
10x - 2x + 1 = 10
8x + 1 =10
8x = 10-1
x=9 /8
Step-by-step explanation:
Answer:
x = 9/8
Step-by-step explanation:
5x - ((2x - 1) ÷ 2) = 5
2 × (5x - ((2x - 1) ÷ 2) = 5
10x - (2x-1) = 10
10x - 2x + 1 = 10
8x + 1 = 10
8x + 1 - 1 = 10 - 1
8x = 10 - 1
8x = 9
8x ÷ 8 = 9 ÷ 8
x = 9 ÷ 8
x = 9/8 or 1 and 1/8
My car magazine reports the numbers of miles driven for different amounts of fas for
Three car. Which car travels the fastest on 1 gallon of gas explain
Answer:
yes and no a.a
Step-by-step explanation:
Car A travels the fastest on 1 gallon of gas.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. The unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
Given that car, the magazine reports the numbers of miles driven for different amounts of fas for Three car.
Consider us solving for the miles per gallon of individual cars
A. miles driven =140
A gallons= 5
x= 140/5
x= 28 miles per gallon
To learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ5
Lina needs to write a 25-page report for homework. Last week she wrote 9 pages. She has 5 days left to finish the report. If she writes the same amount each day, about how many pages does she need to write each day to finish the report?
A. 3
B. 5
C. 2
D. 1
Surface area and volume
The Total cost to rent 5 chairs and 3 tables is $31 dollars. What is the cost to rent each chair and each table? No links please
Answer:
b
Step-by-step explanation:
help me pleaseeeee !
Answer:
81 Degrees
Step-by-step explanation:
The triangles are congruent and a triangle is 180 degrees total. So, 57+42=99. 180-99=81
So the answer is 81 degrees.
which inequality is true p=3.4
uhhh...p=3.4 is already simplified.
---
hope it helps???
When a new drug is created, the pharmaceutical company must subject it to testing before receiving the necessary permission from the Food and Drug Administration (FDA) to market the drug. Suppose the null hypothesis is "the drug is unsafe." What is the Type II Error? ( Select the one, correct letter option below) :
Answer:
Not to conclude that the drug is safe, when, in fact, it is safe.
Step-by-step explanation:
A type ii error is an error that occurs in a hypothesis testing when a person goes ahead to accept a null hypothesis when it is actually false and should be rejected.
To continue, here are the hypothesis:
H0: the drug is unsafe
H1: drug is safe.
A type ii error was committed here because H0, which is the null was accepted and it was concluded that the drug was unsafe, When in fact it should have been rejected. The conclusion should have been that the drug was safe.
Daphne's teacher told her that the standardized score for her history exam, as compared to the other students in the course, is 2.50. Which of the following is the best interpretation of this standardized score?
A. Daphne's test score is 2.50.
B. Daphne's test score is 2.50 times the average test score of students in the course.
C. Daphne's test score is 2.50 standard deviations above the average test score of students in the course.
D. Daphne's test score is 2.50 above the average test score of students in the course.
E. None of the above gives the correct interpretation.
Answer:
Step-by-step explanation:
Answer: C. Daphne's test score is 2.50 standard deviations above the average test score of students in the course.
Step-by-step explanation: That's what Z-score is
If a pizza pie had
a diameter of 12
inches, what
would be its
circumference?
Answer:
37.7 inches
Step-by-step explanation:
Formula of circumference:
[tex]2\pi r[/tex]
r = radius
In the current case,
radius is 6 inches
Hence,
circumference=
[tex]2*\pi *6\\= 12\pi\\= 37.6991118431[/tex]
≅ 37.7 inches
Feel free to mark it as brainliest
The cost of 3 DVD's and 4 CD's is £62.00. The cost of 4 DVD's and 3 CD's is £64.00. Find the cost of each.
Help!!!
Answer:
the cost of each is £10 and £8 respectively
Step-by-step explanation:
Let us assume the cost of per DVD be x
And the cost of per CD be y
Now as per the question
The following equations should be made
3x + 4y = £62.00
4x + 3y = £64.00
Now multiply by 4 in equation 1 and 3 in equation 2
12x + 16y = £248
12x + 9y = £192
7y = £56
y = £8
Now put the value of y in any of the above equation
3x + 4( £8) = £62
3x + £32 = £62
3x = 30
x = £10
Hence, the cost of each is £10 and £8 respectively
Write 5x – 4y = 10 in slope-intercept form
9 and 11 need help
Mark brainlist
I will do 9 only. You can do 11.
Question 9
sin(60) = x/8
sin(60)(8) = x
4•sqrt{3} = x
x^2 + y^2 = 8^2
(4•sqrt{3})^2 + y^2 = 64
16(3) + y^2 = 64
48 + y^2 = 64
y^2 = 64 - 48
y^2 = 16
sqrt{y^2} = sqrt{16}
y = 4
Do 11 the same way.
How many cannonballs are there in the eighth figure
Answer:
36
Step-by-step explanation:
Please help me and happy april fools day! B)
Answer:
A,C,D,F
Step-by-step explanation:
A brochure claims that the average maximum height a certain type of plant is 0.7 m. A gardener suspects that this estimate is not accurate locally due to soil conditions. A random sample of 43 plants is taken. The mean height of the plants in the sample is 0.65m. Using a 1% level of significance, perform a hypothesis test to determine whether the population mean is different from 0.7m. Assume that the population standard deviation is 0.2 m.
Answer:
We accept the null hypothesis, that is, that the population mean is not different from 0.7.
Step-by-step explanation:
A brochure claims that the average maximum height a certain type of plant is 0.7 m.
This means that the null hypothesis is:
[tex]H_{0}: \mu = 0.7[/tex]
A gardener suspects that this estimate is not accurate locally due to soil conditions.
Hypothesis test to determine whether the population mean is different from 0.7m, which means that the alternate hypothesis is:
[tex]H_{a}: \mu \neq 0.7[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.7 is tested at the null hypothesis:
This means that [tex]\mu = 0.7[/tex]
A random sample of 43 plants is taken. The mean height of the plants in the sample is 0.65m.
This means, respectively, that [tex]n = 43, X = 0.65[/tex]
Assume that the population standard deviation is 0.2 m.
This means that [tex]\sigma = 0.2[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.65 - 0.7}{\frac{0.2}{\sqrt{43}}}[/tex]
[tex]z = -1.64[/tex]
Pvalue of the test:
Since we are testing that the mean is different of a value, and z is negative, the pvalue of the test is 2 multiplied by the pvalue of z = -1.64
z = -1.64 has a pvalue of 0.0505
2*0.0505 = 0.101
Using a 1% level of significance, perform a hypothesis test to determine whether the population mean is different from 0.7m.
0.101 > 0.01, which means that we accept the null hypothesis, that is, that the population mean is not different from 0.7.
Section B
Solve the word problems.
1
During a Science workshop, 685 people attended it on the first day
On the second day, there were 3 times as many people as on the
(a) How many people attended the workshop on the second do
(b) Each person had to pay $8 to attend the workshop
What was the total amount collected for the two days?
685
The large rectangle below represents one whole.
What percent is represented by the shaded area????
Answer:
40%
Step-by-step explanation:
Because there are 5 rectangle total, we can dive 100% into 5 parts.
Each part is then 20%, there are 2 shaded rectangles thus the answer is 40%.
Whoever responds first will get marked Best!
Elizabeth's family pool is 25 feet long, 15 feet wide and 10 feet deep. The pool has to be filled. What is the volume of water they should put in the pool?
Part A Explain the steps you would take to find the volume of the pool.
Part B. What is the volume of the water in the pool?
a. 3750 ft
B.50 ft
c. 3375 ft
d. 3755 ft
Answer:
Part A:
I would multiply the length, width, and depth of the pool to find the volume of it. That would be how much water can fit inside. 25 ft x 15 ft x 10 ft = 3750 ft
Part B:
a. 3750 ft
“What is the gradient of the graph shown?”
someone please help I don’t understand how to do this.
Answer:
Step-by-step explanation:
It is easy to see that (-2, 0) and (0, -4) are points on the line.
gradient = (difference of y-coordinates)/(difference of x-coordinates) = (0-(-4))/(-2-0) = 4/(-2) = -2
