Answer:
The pvalue of the test is 0.0083 < 0.1, which means that there is enough evidence to conclude that residents of Legacy Ranch use less water on average
Step-by-step explanation:
The American Water Works Association reports that the per capita water use in a single-family home is 69 gallons per day. Test that the residents use less water.
At the null hypothesis, we test that the mean is 69, that is:
[tex]H_0: \mu = 69[/tex]
At the alternate hypothesis, we test that the mean is less than 69, that is:
[tex]H_a: \mu < 69[/tex]
The test statistic is:
As we have the standard deviation for the sample, we use the t-statistic.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
69 is tested at the null hypothesis:
This means that [tex]\mu = 69[/tex]
Thirty-six owners responded, and the sample mean water use per day was 64 gallons with a standard deviation of 8.8 gallons per day.
This means that [tex]n = 36, X = 64, s = 8.8[/tex]
Value of the test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{64 - 69}{\frac{8.8}{\sqrt{36}}}[/tex]
[tex]t = -3.41[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of finding a mean less than 64, which is the pvalue of t = -3.41, found on the t-table with 36 - 1 = 35 degrees of freedom on a one-tailed test.
With calculator help, the pvalue is 0.0083.
The pvalue of the test is 0.0083 < 0.1, which means that there is enough evidence to conclude that residents of Legacy Ranch use less water on average
the length of a rectangle is 52 cm and its perimeter is 200 cm.what is the area of the rectangle
Answer:
2496 cm sq.
Step-by-step explanation:
Length equals 52cm and Perimeter is 200cm.
Area = Length x Breadth (or Width).
To find the area we have to first find the breadth.
2 x (Length + Breadth) = Perimeter.
Substituting what's given in the question, we get:-
2 x ( 52 + Breadth) = 200
52 + Breadth = [tex]\frac{200}{2}[/tex]
52 + Breadth = 100
Breadth = 100 - 52
Breadth = 48cm.
So, Area equals-------->
Length x Breadth
= 52 x 48
Area = 2496 cm sq.
What is the surface area of the net? *inches squared*
9514 1404 393
Answer:
75 in^2
Step-by-step explanation:
The central vertical rectangle (including "ears") has dimensions
3 in wide by (9+2+2) = 13 in tall
Its area is
A = LW = (3 in)(13 in) = 39 in^2
__
The two rectangles either side of that have dimensions 2 in by 9 in. The area of each of them is
A = LW = (2 in)(9 in) = 18 in^2
__
The total net area is the sum of the areas of the parts:
left rectangle + central rectangle + right rectangle
= 18 in^2 + 39 in^2 + 18 in^2 = 75 in^2 . . . . surface area of the net
The complex plane is also known as what?
Solve the problem.
If sin = 1/4, find csc .
A) 3/4
B) -1/4
C) 4
D) undefined
Answer:
C) 4
Step-by-step explanation:
By definition, cosecant (csc) is the reciprocal of sine (sin). The reciprocal of 1/4 is equal to C) 4.
Geometry > 0.6 Area of sectors XZQ
a а
The radius of a circle is 4 miles. What is the area of a sector bounded by a 135º arc?
= 4 mi
00
HA
Sma
out
1350
Give the exact answer in simplest form.
square miles
Answer:
4π mi²
Step-by-step explanation:
s = (∅/360) * πr²
s = (135/360) * π(4²)
s = (135/360)(16) * π
s = 4π mi²
HELP PLEASE like I really need help
Allison drove home at 58 mph, but her brother Austin, who left at the same time, could drive at only 40 mph. When Allison arrived, Austin still had 90 miles to go. How far did
Allison drive?
......miles
Answer: 290 miles
Step-by-step explanation:
Given
Allison drove with a speed of 58 mph
Austin drove with a speed of 40 mph
If both start at the same time
suppose Allison takes t hours to reach the destination. So, the difference between the distance traveled in t hours is 90 miles
[tex]\Rightarrow 58t-40t=90\\\Rightarrow 18t=90\\\Rightarrow t=5\ hr[/tex]
Distance traveled by Allison is [tex]58\times 5=290\ miles[/tex]
Use the given information below to determine the value of x.
A. 121
B. 180
C. 59
D. 62
In the question below, you can eliminate two answers quickly? Which two
can you ELIMINATE? Explain why.
Find the level of measurement (nominal, ordinal, interval, or ratio) and type quantitative or qualitative) for the following variable.
a. End-of-year stock classification (high yield, medium yield, or low yield)
b. Length (in feet) of a roll of plastic wrap advertised to be 30 feet long.
c. Temperature (in degrees Celsius)
d. Duration (in minutes) of a call to a customer support line
Answer:
a. Nominal and qualitative.
b. Ratio and quantitative.
c. Interval and quantitative.
d. Interval and quantitative.
Step-by-step explanation:
A level of measurement can be defined as a classification which is used to illustrate the attributes of the values assigned to variables. There are four (4) basic levels of measurement for a variable and these are;
1. Interval: data can be arranged in an ordering scheme and subtracting its differences is meaningful. Examples are year, temperature, time etc.
2. Ratio: data can be arranged in an ordering scheme and subtracting its differences is meaningful with respect to the value of true zero. Examples are height, price, weight, distance etc.
3. Ordinal: data can be arranged in an ordering scheme but subtracting its differences is meaningless or impossible. Examples are happy, sad etc.
4. Nominal: is characterized by data that are non-numerical, comprises of categories, labels or names and can't be arranged in an ordering scheme.
In this scenario, the level of measurement and data type are listed below;
a. End-of-year stock classification (high yield, medium yield, or low yield): the level of measurement is nominal because they are categorized. Also, the type of data is qualitative because it describes the quality of the stock and it's non-numerical in nature.
b. Length (in feet) of a roll of plastic wrap advertised to be 30 feet long: the level of measurement is a ratio because they can be arranged in order. Also, it's a quantitative data because it is numerical in nature.
c. Temperature (in degrees Celsius): the level of measurement is an interval because they can be arranged in order and the difference in value is meaningful. Also, the type of data is quantitative because it is numerical in nature.
d. Duration (in minutes) of a call to a customer support line: the level of measurement is an interval because they can be arranged in order and the difference in value is meaningful. Also, the type of data is quantitative because it is numerical in nature.
You may need to use the appropriate appendix table or technology to answer this question. Health insurers are beginning to offer telemedicine services online that replace the common office visit. A company provides a video service that allows subscribers to connect with a physician online and receive prescribed treatments. The company claims that users of its online service saved a significant amount of money on a typical visit. The data shown below ($), for a sample of 20 online doctor visits, are consistent with the savings per visit reported by the company. 86 28 34 99 77 49 50 43 34 70 42 90 87 68 67 72 87 94 47 76 Assuming the population is roughly symmetric, construct a 95% confidence interval for the mean savings in dollars for a televisit to the doctor as opposed to an office visit. (Round your answers to the nearest cent.) $ to $ Need Help
Answer:
(62.66 ; 67.34)
Step-by-step explanation:
Given the data:
86 28 34 99 77 49 50 43 34 70 42 90 87 68 67 72 87 94 47 76
Using a calculator :
Sample mean, xbar = 65
Sample. Standard deviation s = 22.35
Confidence interval :
Xbar ± standard Error
Standard Error = Tcritical * s/√n
TCritical at 95%, df = 19 = 2.093
Standard Error = 2.093 * (22.35/√20) = 2.339
Lower boundary = 65 - 2.339 = 62.661
Upper boundary = 65 + 2.339 = 67.339
(62.661 ; 67.339)
(62.66 ; 67.34)
Given: AB || DE
Which can be used to prove ABC - EDC?
a.
AA Similarity Postulate
C.
ASA Similarity Theorem
b.
SSS Similarity Theorem
d.
SAS Similarity Theorem
Answer:
a. AA Similarity Postulate
Step-by-step explanation:
the AA Similarity Postulate says that if two angles in one triangle are congruent to two angles in another triangle, then the two triangles are similar.
AB and ED are parallel, so
∠BCA and ∠ECD are congruent because they're vertical angles∠BAC and ∠CED are congruent because they're alternate interior anglesWrite the opposite of the number. 10 over 7
Answer:
The multiplicative inverse of 10/7 is 7/10.
Step-by-step explanation:
have a good day :)
harrison bought a 10 foot ramp to load his dirt bike into the back of his truck. the ramp hooks to the 3 foot high tailgate. how far away from the tailgate doe the ramp sit in the ground?
Answer:
9.54 feet
Step-by-step explanation:
Using Pythagoras rule :
Length of ramp = 10 feets = hypotenus
Hypotenus² = opposite² - adjacent²
d² = 10² - 3²
d² = 100 - 9
d² = 91
d = √91
d = 9.5393920
d = 9.54 feets
ANSWER FAST
.Give the value of a.
a - 15 = 21
Answer:
a=36
Step-by-step explanation:
a - 15 = 21
+15 +15
a = 36
Give me a topic for my mathematical investigation.
There are a few you can choose from:
Statistics and probability
Geometry
Proofs
Triangles
Circles
Numerical sequences
Number Theory
etc.
Jena has a small jewelry box in the shape of a cube with side lengths of two inches. How much greater is the volume of her large jewelry box with the dimensions 7 inches, 5 inches, and 4 inches?
Plz help no links please
Answer:
216 cubic inches
Jena's large jewelry box is 132 inches³ bigger than her small cube jewelry box.
What is a cube?
A cube is a three dimensional figure. All of it's sides are equal in length and all the planes of it are perfect square.
Given, length of the each side of Jena's small jewelry box = 2 inches.
Therefore, the volume of the small jewelry box is = 2³ inches³ = 8 inches³.
Again, length of the each side of Jena's small jewelry box are 7 inches, 5 inches, and 4 inches.
Therefore, the volume of the small jewelry box is = (7 × 5 × 4) inches³ = 140 inches³.
Hence, the difference = (140 - 8) inches³ = 132 inches³.
Learn more about cube here: https://brainly.com/question/21270685
#Tag#SPJ2
The graph below shows the balance remaining on Jason's loan after he makes each payment. Jason's Loan Balance y 2,100 1,800 1,500 1,200 Balance Remaining (dollars) 900 600 300 0 1 2 3 4 5 6 7 8 9 10 11 12 Number of Payments Made Based on this graph, what will be the balance remaining on Jason's loan after he makes the 12th payment? A $750 B $150 C $450 D $300
Answer:
D $300
Step-by-step explanation:
I did a test with that question and got it correct
Answer:
D $300 Step-by-step explanation:
Using the table below, calculate the average rate of change over the interval [-1, 1).
х
1
-2
-1
-1
-2
0
-1
у
2
CA. 4
с В.
-4
OC. -2
thing
D. 2
Answer:
2.
Step-by-step explanation:
I have the same thing as u. it's 2.
which of the following is equivalent (x+1)^2
Answer:
B. x^2 + 1
Step-by-step explanation:
Because squaring the value of 1 does not change its value, the equation would function the same way the original equation if x was the only value squared.
Lois is painting a mural on the side of a building. The side of the building is 14 feet by 9
feet. Lois got a deal on paint cans that each cover 5 square feet. How many of these
paint cans will she need to cover the side of the building?
Answer:
I believe it is 29 cans of paint right?
Hope this helps
HELP LOL!!
What is the independent variable?
Amplitude
Frequency
Tension
Density
Speed
6. What is the dependent variable?
Amplitude
Frequency
Tension
Density
Speed
7. What are the constants? (Choose 3)
Amplitude
Frequency
Tension
Density
Speed
what is this???????????????????????
Answer:
Without knowing anything else about the problem, the shaded part looks like the cross-sectional area.
. A store increases profits by marking up the price of soda by 15%. Which expression represents the new price of soda if the original cost is s dollars? A) 0.15 B В 1.15$ © 0.855 Ds + 15
Answer: A
Step-by-step explanation:
President Kennedy was the fastest random speaker in the world with upwards of 350 words per minute. What is the median of the numbers 3,5,0?
Answer: 3
Step-by-step explanation:
Numbers in least to greatest
0,3,5 middle is 3
Find the area of the circle when the circumference is 26 in
Answer:
"None of the answers are correct."
Step-by-step explanation:
The formula for Area given the circumference is A = [tex]\frac{C^{2} }{4\pi }[/tex]
[tex]\frac{26^{2} }{4\pi } = 53.79437[/tex]
So none of the above are correct
what percent represents the part of the model shaded green?
A) 60%
B) 62.5%
C) 66.7%
D) 75%
Answer:
60%
Step-by-step explanation:
Because 3 ÷ 5 = 60% Hope that helps!
Dajuan is painting a mural on a rectangular
wall. The wall is 14.5 feet long and 10 feet
wide. So far, his mural covers 60% of the wall.
Dajuan will paint the remaining part of the wall
over the next four days. He will paint the same
amount of the wall, in square feet, on each of
those four days. How much of the wall, in
square feet, will Dajuan paint on each of the
next four days? Explain how you arrived at
your answer.
Answer:
Every day Dajuan will paint 14.5 square feet of the wall.
Step-by-step explanation:
Since Dajuan is painting a mural on a rectangular wall, which measures 14.5 feet long and 10 feet wide, and so far, his mural covers 60% of the wall, and Dajuan will paint the remaining part of the wall over the next four days, painting the same amount of the wall, in square feet, on each of those four days, to determine how much of the wall, in square feet, will Dajuan paint on each of the next four days, the following calculation must be performed:
((14.5 x 10) x 0.4) / 4 = X
(145 x 0.4) / 4 = X
58/4 = X
14.5 = X
Therefore, every day Dajuan will paint 14.5 square feet of the wall.
Bethany is making a rectangular fenced- in area for her rabbit in her yard. The area measures 4 3/4 feet wide by 2 yards long.
what's the total length of fencing that Bethany will need in feet?
Answer:
The total length of fencing that Bethany will need is 21.5 feet.
Step-by-step explanation:
Since Bethany is making a rectangular fenced- in area for her rabbit in her yard, and the area measures 4 3/4 feet wide by 2 yards long, to determine what's the total length of fencing that Bethany will need in feet the following calculation must be performed:
1 yard = 3 feet
2 yards = 6 feet
3/4 = 0.75
4.75 x 2 + 6 x 2 = X
9.5 + 12 = X
21.5 = X
Therefore, the total length of fencing that Bethany will need is 21.5 feet.
Bus travels 450 km on 40 L at that rate how far will it travel on 120 L of gas??
Answer:
1350 km yw!
Step-by-step explanation: