The American Water Works Association reports that the per capita water use in a single-family home is 76 gallons per day. Legacy Ranch is a relatively new housing development. The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences. Twenty-seven owners responded, and the sample mean water use per day was 71 gallons with a standard deviation of 9.5 gallons per day. At the 0.01 level of significance, is that enough evidence to conclude that residents of Legacy Ranch use less water on average
Answer:
Yes, that is enough statistical evidence to suggest to conclude that residents of Legacy Ranch use less water on average
Step-by-step explanation:
The data given by the American Water Works Association are;
The per capita water use in a single-family home, μ = 76 gallons per day
The number of responders in the sample, n = 27
The sample mean water used by the sample, [tex]\overline x[/tex] = 71 gallons
The standard deviation, s = 9.5 gallons per day
The level of significance, α = 0.01
The test statistics is given as follows;
The null hypothesis, H₀; μ ≥ 76 gallons
The alternative hypothesis, Hₐ; μ < 76 gallons
[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]
Therefore, we have;
[tex]t=\dfrac{71-76 }{\dfrac{9.5}{\sqrt{27}}} \approx -2.734817[/tex]
At n - 1 = 27 - 1 = 26 degrees of freedom, the critical-t = 2.5
From the test statistic, of t ≈ -2.734817, the p-value < 0.01, and from a graphing calculator, the p-value is given as Prob = 0.005544418
Therefore, given that the p-value is less the significant level, and less than 0.01, is therefore statistically significant, and therefore, there is sufficient statistical evidence against the null hypothesis, therefore we reject the null hypothesis, and there is enough statistical evidence to suggest to conclude that residents of Legacy Ranch use less water on average.
Helpppppppppppppppppppppp
Answer:
8.04 units
Step-by-step explanation:
By Pythagoras Theorem:
[tex] {x}^{2} = \bigg( \frac{25.2}{2} \bigg)^{2} - {(9.7)}^{2} \\ \\ {x}^{2} = ( 12.6)^{2} - {(9.7)}^{2} \\ \\ {x}^{2} = 64.67 \\ \\ x = \sqrt{64.67} \\ \\ x = 8.04176598 \\ \\ x \approx \: 8.04[/tex]
f(x)=x^2. What is g(x)?
A. g(x) = x^2
B. g(x)=-2x^2
C. g(x)=x^2 - 2
D. g(x)=-x^2 - 2
Answer:
B
Step-by-step explanation:
TRUST.
if im wrong im really sorry
i would have failed you
i would feel guilty
and I would forget about it in like 5 minutes
Randy is playing a number game. Beginning with the number 6, he adds 4, multiples by
5, and then divides by -10. He then subtracts 2. What number does he find at the end of
the game?
A. -7
B. -3.6
C. -4.6
D. -5
help plz :<<<<<<<<<<<<
Answer:
can you make the question more clear please
1.2675 * 10^37 =
help pls its like 3am and for some reason my brain doesn't work :)
Answer:
the answer of the given equation is 1.2675E+37
Step-by-step explanation:
The computation is shown below:
Given that
= 1.2675 × 10^37
The above equation we need to solve
So,
= 1.2675 × 1E+37
= 1.2675E+37
So the answer after solving the equation is 1.2675E+37
The same would be considered and relevant
Hence, the answer of the given equation is 1.2675E+37
Plz help me!!!
Philip rolls a standard number cube
24 times. Which is the best prediction for
the number of times he will roll a number
that is even and less than 4?
A 2
B 3
C 4
D 6
Answer:
i guess the correct answer is A. 2
For Problems 1-3, use the grid to the right.
1. What is the sum of column A?
2. What is the product of column B?
What is the product of column C?
Answer:
1. -5
2. -24
3. 0
Step-by-step explanation:
Sum means addition.
Product means multiplication.
A negative times a negative will give you a positive.
Anything times zero is zero.
1. -2 + 5 + (-8) = -5
2. -1 * -4 * -6 = -24
3. 10 * 0 *-9 = 0
I will give you BRAINLIEST for the correct answer
Answer:
126
AS:
If these cubes are to to be placed so that their respective faces are parallel
or perpendicular, as the case may be, to the respective orientations of the
dimensions of the box, without tilting any cubes in any directions,
then choice B) can be justified. This leaves spaces (some volume) in the box
not filled by the cubes.
How many whole number of edges of the cubes fit into 4 cm?
4 / 3 √ 2 must be rounded down to 3.
How many whole number of edges of the cubes fit into 8 cm?
8 / 3 √ 2 must be rounded down to 6.
How many whole number of edges of the cubes fit into 10 cm?
10 / 3 √ 2 must be rounded down to 7.
Then (3)(6)(7) = 126
Solve for x in the following equations: 9x + 10y = 17 when y = 8
A) 8
B) -7
C) 5
D) 10
Answer:
-7
Step-by-step explanation:
Answer:
9x+10*8=17
9x=17-80
9x= -63
X= -63/9
so X=. -7
hope it helps
Give me a hand please! Triangle VZX is similar to RPQ where ZX corresponds to PQ. If VZ = 8 cm, ZX = 6.4 cm, VX = 11.2 cm, and PQ = 5.12 cm, what is the measure of RQ?
A) 4.096 cm
B) 10 cm
C) 8.96 cm
D) 6.4 cm
Answer:
C: 8.96
Step-by-step explanation:
We know taht ZX is similar to PQ. We can now set up the ratio of 6.4: 5.12
This ratio gives us .8:1
Multiply VX by the ratio to find its corresponding similar side of RQ
(11.2) * .8 = 8.96
Classify this triangle by its sides and angles.
Answer:
choice 3) acute and equilateral
Step-by-step explanation:
Use the net to find the surface area of the regular pyramid.
Answer:
40 in²
Step-by-step explanation:
There are four triangles for each side of the pyramid, and the height is three inches. The area of a triangle is base times height divided by 2, so each triangle is 6 in².
4(base) x 3(height) ÷ 2 = 6
Multiply 6 by 4 because there are four triangles, which is 24.
Once you have that, the only surface left is the bottom of the pyramid. You can find this by multiplying 4 by 4, since it's a square.
4 x 4 = 16
If you add 16 and 24 together, that's your answer.
Answer:
40
(its right i did this)
A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $10 million after 4 years, while profits increased
$7.5 million per year. Select the correct graph of this function
Answer:
Step-by-step explanation:
The answer is: There is a graph of a line that has a y intercept that is approximately negative $80 million and an x intercept that is approximately 2.7 years.
hope this help and srry if wrong
To wash a window that is 12 feet off the ground, Mason leans a 20-foot ladder against the side of the building. To reach the window, how far away from the building should Mason place the base of the ladder?
Answer:
by clumbing the ladder
Step-by-step explanation:
The base of the ladder should be placed so that it is one foot away from the building for every four feet of hight to where the ladder rests against the building. This is known as the 4 to 1 rule.
1. A chlorine atom has a net charge of zero. What is the net charge on the chlorine atom
after it gains an electron with a charge of -1
A. - 2
B. -1
C. 0
D.+1
Sammy's mother asked him to buy some aspirin at the supermarket. There were two different
sizes of aspirin bottles, and Sammy was not sure which one to buy. The bottle with 150 tablets
cost $7.50. The bottle with 50 tablets cost $3.00. Sammy used proportions to make his decision.
1. The bottle with 150 tablets
2. The bottle with 50 tablets
3. Both bottles work out the same
Geometry Transversals simple answer needed
Answer:
C) 70
Step-by-step explanation:
m<1 = m<3 because of vertical angles
Since <3 = 70,
<1 also equals 70
i need help with this asap
decide whether each if the pairs if angles given and illustrated are
alternate exterior
alternate interrior
correspondkn
vwrtical
1,2,3,4,5,6
Answer: i think its alternate interior
Seth owns a local ice cream parlor. He designed a new sign in the shape of an ice cream cone and cut it from plywood. He wants to attach LED lights around the PERIMETER of the sign. A diagram of the sign made from a TRIANGLE and a SEMICIRCLE is shown below. What is the length of LED lights he will need to span the PERIMETER of the sign?
Answer:2 feet i think?
Step-by-step explanation:
sorry need points
8. The speed of a
delivery truck
varies inversely
with the time it
takes to reach its
destination. If the
truck takes 3 hours
to reach its
destination
traveling at a
constant speed of
50 miles per hour,
how long will it
take to reach the
same location
when it travels at a
constant speed of
60 miles per hour?
2 hours
2 1/3 hours
2.5 hours
2 2/3 hours
Answer:
2.5 hours
Step-by-step explanation:
If it takes 3 hours at 50 mph, it's traveling 150 miles (3 x 50)
150 miles at 60 mph is 2.5 hours (150/60)
PLZ help me on this ASAP which one is it??? Its due in a couple of mins :(((
Answer:
answer two solution
Step-by-step explanation:
Please answer correctly! I will mark you as Brainliest
Answer:
33,333 ft^3
Step-by-step explanation:
A pyramids volume can be defined by V=lwh/3. We know the base is 1000 ft^2, so we multiply that by an additional 100 for the height. We then have 100,000 ft^3. After that, we simply divide it by three, which is 33,333.3 repeating, and round it to 33,333 ft^3
I need to know what the answers are and show work. Please help me! And thank you!
Answer:
x=29
∠C=93°
Step-by-step explanation:
180°-52°-35°=3(x+2)°
180°-87°=(3x)°+6°
93°=(3x)°+6°
(3x)°=87°
x=[tex]\frac{87}{3}[/tex]
x=29
∠C=3(x+2)°
=3(29+2)°
=3(31)°
=93°
asap plssssss helpppppppp
Answer:
Answers are below.
Step-by-step explanation:
1. b - [tex]c^{2}[/tex]
2. 24/2a
3. 150 - (6 + b)
4. 2c + 10
5. 35 - m
6. 4m
7. (g + 4) 2
8. m - 5 / 4
hope this helps and is right. p.s. i really need brainliest :)
Kerel wants to buy a Points card for his X-box live account. He can buy a 200-point
card for $10.00 or a 300-point card for $15.00. Which card is the better value?
Answer:
equal. i think
Step-by-step explanation:
well if 10$ is worth 200 and 15 is worth 300 for me its adding half of the orginal number (200) and get 100 so 200+100=300
Both the cards are having the same value
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first card be = A
Let the second card be = B
Now ,
The value of first card = $ 10.00
The value of second card = $ 20.00
And ,
The total value for 200 point cards = value of first card
The total value for 300 point cards = value of second card
So , the equation will be
200 = 10 A be equation (1)
300 = 15 B be equation (2)
Divide equation (1) by 10 on both sides , we get
A = 20
Divide equation (2) by 15 on both sides , we get
B = 20
Therefore , A = B
Hence , Both the cards are having the same value
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
If a standard die is rolled twice, what is the probability that it lands on a number greater than 4 both times?
Answer:
1/3 i believe
Step-by-step explanation:
See image for question and answer choices
Answer:
B.
Step-by-step explanation:
So, lets remember a few things first.
#1: The formula for finding the answer is A^2+B^2=C^2
#2: A is the opposite side, B is the adjacent side, and C is the hypotenouse side.
Now lets plug in what we already know, and see if we canf igure out the annswer:
A^2+12^2=13^2
Now I am going to stop us here. This is your equation that will find the answer. In your question, they use x^2, A^2 is a variable you can use instead. But looking at this, answer B and my equation I wrote above are exactly the same.
If you want, here is how I further solved it, this might give you a better grasp on what to do for future problems:
Ok, not too bad, the A is the unkown value, which is the opposite side.
Now, how do we figure this out? Well, we just need to sovle for A.
To do this, lets clean up our equation by first sqauring all the values(except for the unkown):
A^2+144=169
Ok, that looks better, now lets just subtract the adjeacent side(b), which is 144, from the hypotenouse side(c), which is 169.
This will now look like:
A^2=25(169-144=25)
Ok, just one more step to go. Just square root both sides of the equation, this way, we will get ride of the ^2 on A(opposite side), and get A alone.
([tex]\sqrt{A^2}=A[/tex])=([tex]\sqrt{25}=5[/tex])
A=5
This is your answer.
1.26 - 0.06 (2 marks)
Answer:
1.2
Step-by-step explanation:
So in the picture, there is the working out I did (sorry for the bad writing). When you work out the question, remember to match the decimal points (I've done this in the pic). The answer I got was 1.20 but that is the same as 1.2.
hope this helps :)
Determine if the two triangles are congruent. If they are state the condition
Answer:
They are congruent, SAS, hope am right, wasn't sure about this