Answer: 18.1666666667
Step-by-step explanation:
Toll Brothers is a luxury home builder that would like to test the hypothesis that the average size of new homes exceeds 2,400 square feet. A random sample of 36 newly constructed homes had an average of 2,510 square feet with a sample standard deviation of 480 square feet. Conduct a test of hypothesis at a 1% level of significance to see if indeed the average size of new homes exceeds 2,400 square feet.
Answer:
Since the pvalue of the test is 0.09 > 0.01, we do not reject the null hypothesis that the average size of new homes is of 2400 square feet.
Step-by-step explanation:
Toll Brothers is a luxury home builder that would like to test the hypothesis that the average size of new homes exceeds 2,400 square feet. Test to see if the average size of new homes exceeds 2,400 square feet.
At the null hypothesis, we test if the average is of 2400 square feet, that is:
[tex]H_o: \mu = 2400[/tex]
At the alternate hypothesis, we test if the average is greater than 2400 square feet, that is:
[tex]H_a: \mu > 2400[/tex]
The test statistic is:
Since we have the standard deviation for the sample, we use the t-distribution.
[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 of the sample and n is the size of the sample.
2400 is tested at the null hypothesis:
This means that [tex]\mu = 2400[/tex]
A random sample of 36 newly constructed homes had an average of 2,510 square feet with a sample standard deviation of 480 square feet.
This means that [tex]n = 36, X = 2510, s = 480[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{2510 - 2400}{\frac{480}{\sqrt{36}}}[/tex]
[tex]t = 1.375[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of finding a sample mean of at least 2510, which is the pvalue of t = 1.375 with 36 - 1 = 35 degrees of freedom, using a one-tailed test.
With the help of a calculator, this pvalue is of 0.09
Since the pvalue of the test is 0.09 > 0.01, we do not reject the null hypothesis that the average size of new homes is of 2400 square feet.
Ms. Namgung's electric hedge trimmer has a 10-foot cord. Each of her extension cords is 50 feet long. The farthest hedge is 40 yards from the electrical outlet. How many extension cords will Ms. Namgung use to trim all the hedges? Explain.
Answer: She will need 3 extension cords.
Step-by-step explanation:
If the farthest hedge is 40 yards away, that means it is 120 feet away because 1 yard equals 3 feet. If the cord on her trimmer is 10 feet and her extension cords are 50 feet long, 10+50+50+50= 160 feet. This means she would need 3 extension cords. 2 extension cords would not be long enough.
Find the lateral area of the cylinder to the nearest tenth.
9 cm
19 cm
Not drawn to scale
Оа
2
1046.2 cm
Ob
2
664.4 cm
ос
2
537.2 cm
Od
2
1201.
Answer:
Lateral surface area is 847.8 centimeters^2
Step-by-step explanation:
The formula for determining the lateral surface area of a cylinder is expressed as
Lateral surface area = 2πrh
Where
r = radius of the cylinder
h = the height of the cylinder
From the information given,
r = 9 centimeters
h = 15 centimeters
π = 3.14
Lateral surface area = 2 × 3.14 × 9 × 15 = 847.8 centimeters^2
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1/2k+6=4k-8
Please explain step by step
So on solving the provided question, we can say that the value of k is 4, in this linear equation question.
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
1/2k +6= 4k-8
Multiplying both sides by 2,
k+12= 8k-16
7k=28
Therefore,
k=4
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Mr Campbell has a jar on his desk that contains 1o0 marbles . At the end of class, each student draws a marble from the jar without looking, notes the color, and then puts it back in the jar. If a student draws the red marble , the student gets a pass on that day's homework. How can the students determine the probability of drawing the red marbles ?
Answer:
noseee
Step-by-step explanation:
Thirty of the 198 students enrolled in Statistics 101 were asked if they wanted Exam II to be atake-home or an in-class assessment. Twenty, or about 67%, of the students polled indicated apreference for an in-class exam. The professor concluded that the majority of the students inthesamplewould prefer an in-class examination for the second assessment. Did the professorperforma descriptive study or an inferential study?
Answer:
Inferential study
Step-by-step explanation:
From the question, we understand that the professor concluded that majority of the class (of 198 students) preferred in class assessment based on the response from 67% of the sample size (i.e 30 students)
When decisions or conclusions are made about an overall population based on a survey carried out on a smaller sample, such study is referred to as an inferential study or inferential research.
Descriptive study on the other hand focuses on the features rather than the result of the experiment of the dataset.
What's the equation and solution?
Observing the given figure , It is a balanced balance which signifies both side should be equal, The answer is 2=-8-x and x=-10.
What do you mean by equations?An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics. A set of two or more linear equations with two or more variables each constitutes a system of linear equations, all of which are taken into account simultaneously. Finding a numerical value for each variable in the system that will simultaneously satisfy all of the system's equations is necessary to identify the one and only solution to a system of linear equations.
What are the methods to solve system of equations?There are three ways to solve systems of linear equations :
GraphingSubstitution methodElimination method2=-8-x is the required balanced equation.
-x = 2 + 8
x= -10
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Question
The Gross Domestic Product (GDP) for the United States in the first quarter of 2014 was approximately $1.71 x 1013. If you
wrote this number in standard notation, it would be the number 171 followed by how many zeros?
Answer:
11
Step-by-step explanation:
If you were to write the Gross Domestic Product in standard notation, 171 would be followed by 11 zeros.
What is standard notation?
Standard notation is used in expressing large numbers in smaller numbers. In order to write a number in standard notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10 raised to the number of zeros.
For example:
The number : 2 x 10² is equivalent to 300
The number 3 x 10³ is equivalent to 300
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Toni runs around her school's baseball diamond. Each side is 27 m long. Note: A baseball diamond is square. How far does Toni run? m
Answer:
If we assume she runs around it once and since they tell us its a square: 27x4=108
Step-by-step explanation:
(20 points)which of these equations doesn’t fit with each other with what we’ve been learning about perpendicular lines explain why for full credit, equations in photo
Answer:
Line D
Step-by-step explanation:
You want to know which line is not parallel or perpendicular to the other given lines:
A: 2y -x = 2
B: 4y = -8x -4
C: y = -2x +4
D: 5y = 10x +15
Standard formWe can write each of these equations in standard form to make it easier to compare them. That form is ...
ax +by = c
where a > 0 and a, b, c are mutually prime.
The equations are ...
A: x -2y = -2
B: 2x +y = -1
C: 2x +y = 4
D: 2x -y = -3
Parallel linesEquations with the same coefficients of x and y will be parallel:
2x +y = -1 and 2x +y = 4 . . . . lines B and C
Perpendicular linesEquations with coefficients that have been swapped, with one negated, will be perpendicular:
x -2y = -2 and 2x +y = -1 . . . . lines A and B
Line A is perpendicular to parallel lines B and C, so line D is the odd one out.
Line D doesn't fit.
Need help please?!?!?! Extra points!!!
Answer:
4.19
Step-by-step explanation:
just use the formula 2pir^2
Reba is a hairdresser. Before her lunch break, she gave 3 haircuts and colored the hair of 3
clients in 330 minutes. After lunch, she gave 3 haircuts and colored the hair of 4 clients in
419 minutes. How long does it take for Reba to perform each type of service, assuming the
amount of time doesn't vary from client to client?
Answer:
To color the hair of one client takes 55 minutes
To give a client a haircut takes 72-55 which is 17
Step-by-step explanation:
i hope this helps ;)
Answer the question on the picture
Answer:
theta =111°
hope it helps.
Answer:
69°
Step-by-step explanation:
Sum of angles in a triangle is 180°.
Moreover, because the marked lines are parallel, the third angle of the triangle (first two being 62° and Θ) is equal to 49°
That gives us:
[tex]\Theta = 180^\circ - 49^\circ - 62^\circ = 69^\circ[/tex]
If y = a(x − 1)^2 + q and points (−1, −9) and (1,1) both lie on the parabola, what is the optimal (maximum/minimum) value of y? Find the value of a.
plz answer with full proces, i will mark brainliest for sure.
George has two dogs.
One weighs 56.5 pounds
and the other weighs 47.75
pounds.
What is the total weight, in pounds, of the two dogs?
NO LINKS
the answer to this equation is 104.25
hello i need help with ym math today please and thanks
The annual cost if she chooses to make monthly payment is $1920 and money saved is $170
How to determine the incomes?The given parameters that will help us to determine the incomes are
Mindley switching to insurance comapnyAnnual premium $1750/ yearMonthly premium $160*12 = $1920a) Annual cost if she chooses to make one annual monthly installment is $1920
b) Money saved is she makes one annual payment is $(1920-1750)= $170
3) Volume of gas = 60 L
Efficiency rating = 10.2km/L
Average drive = Volume / Efficiency = 60/10.2 = 5.9km/L
b) Cost of gas = 149.9⊄⊄/L
Number of liters =60
= 60*149.9
=$8994
c) Constant gas price = $149.9⊄/L
Number of weeks /year = 52
=52*149.9
= $7795
4) Morgan pay $15/hr
Number of hours per week = 40
Gross monthly income = 40*15*4
=$2400
b) Monthly income $2400
Amount left after deduction = 85%
=0.85*2400
Net income = $2040
In conclusion Mindley receives $1920 monthly and saves $170
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I don’t have a question this is just the answer:))
Perry bought one package of strawberries for $3. How many packages of strawberries can Mei buy if she has $9?
Answer:
3 packs
Step-by-step explanation:
1 pack = $3
To see how many she could buy divide the money she has by how much each pack costs
9/3 = 3
$3 for each pack is the same as
3+3+3 = 6+3 = 9
Hey can I have some help on this I can only give you 10 points though
2. An empty box has a weight of 350g. When 15 cans of juice are put into it the total weight is
4850g. What is the weight of one can of juice?
Answer: 300
Step-by-step explanation:
15x+350=4850
15x=4500
x=300
PLz answer before 11:59 pm
Answer:
SA = 2520 ft^2
Step-by-step explanation:
a = 21ft
b = 29ft
c = 20ft
h = 30ft
SA = 2[tex]A_{B}[/tex] + (a+b+c)h
[tex]A_{B}[/tex] = s(s﹣a)(s﹣b)(s﹣c)
s = [tex]\frac{a + b + c}{2}[/tex]
SA= ah + bh + ch + [tex]\frac{1}{2}[/tex] [tex]\sqrt{-a^4 + 2(ab)^2 + 2(ac)^2 - b^4 + 2(bc)^2 - c4}[/tex]
SA= (21 * 30) + (29 * 30) + (20 * 30) +
[tex]\frac{1}{2}[/tex] [tex]\sqrt{-(21)^4 + 2(21 * 29)^2 + 2(21 * 20)^2 - (29)^4 + 2(29 * 20)^2 - (20)^4}[/tex]
SA = 2520 ft^2
For the function graphed below, what is the output when x=-2?
Step-by-step explanation:
that is a college level question ? and you don't know the answer ?
that is basic, basic, basic ...
you go on the x-axis to -2.
from there you go either up or down and look at what y-value are you crossing the functional curve.
it is -1.
so, the "output" for x = -2 is y = -1. or simply -1.
what is an equation of the line that is parallel to y = - 5 x + 6 and passes through the point (-4,-1)
The equation of the line that is parallel to the line y = - 5x + c and passes through (-4, -1) will be y = - 5x - 21.
What is the equation of a parallel line?Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.
The equation of the line is given below.
y = - 5x + 6
The equation of the line that is parallel to the line y = - 5x + 6 is written as,
y = - 5x + c
The equation passes through (-4, -1), then we have
- 1 = - 5 (-4) + c
- 1 = 20 + c
- 21 = c
The equation of the line that is parallel to the line y = - 5x + c and passes through (-4, -1) will be y = - 5x - 21.
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What is the greatest common factor of 3x
Answer:
It is not possible to find the greatest common factor of 3x.
Step-by-step explanation:
The greatest common factor (GCF) of a set of numbers is the largest number that divides into all of the numbers in the set.
In this case, you have provided a variable, 3x, and not a set of numbers. Therefore, it is not possible to find the greatest common factor of 3x.
If you have a set of numbers that you would like to find the greatest common factor of, please let me know and I will be happy to help.
A steel pipe 50 cm long has an outside diameter of 2 cm and an inside diameter of 1.8 cm. If the density of the steel is 7.8 grams per cm3, what is
the mass of the pipe to the nearest gram?
Answer:
the volume is 50x1.8x2
v=180cm³
therefore, density is mass/volume
Step-by-step explanation:
mass =density x volume
mass= 7.8 x 180cm³
mass= 1,404grams
The mass of the pipe to the nearest gram mass= 1,404grams.
We have given that,
A steel pipe 50 cm long has an outside diameter of 2 cm and an inside diameter of 1.8 cm. If the density of the steel is 7.8 grams per cm^3
The volume is 50x1.8x2
v=180cm^3
Therefore, density is mass/volume
What is the formula for mass?
mass =density x volume
mass= 7.8 x 180cm^3
mass= 1,404grams
Therefore, The mass of the pipe to the nearest gram mass= 1,404grams.
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Find the value of X from the right triangle please can anybody answer this
Answer:
Step-by-step explanation:
in the first triangle an angle is 60 degrees so it means that the triangle is half of a equilateral triangle.
in this case the base leg is half of the hypotenuse.
x = 8
in the second triangle we have an angle that is 45 degrees and this means that the triangle has two congruent legs
x = 10
6x-14<-14 or 3x+10>13
Answer:
solution set must contain all numbers less than zero or greater than one
graph H illustrates this solution
Step-by-step explanation:
6x - 14 < -14
6x < 0
x < 0
3x + 10 > 13
3x > 3
x > 1
Emelio is going to China on vacation. He can take one bag for free, but if the
weight of the bag is greater than 45 lb, he must pay a fee. Emelio knows his
bag weighed 32.4 lb on the way to China, and he plans to buy gifts for his
parents and siblings. He packs the same things he brought to China plus the
gifts into his bag on the way back. If he doesn't want to pay a fee, how much
can the gifts weigh?
The weight of the gifts must be Select...
Ib.
Answer:
12.6
Step-by-step explanation:
you basically subtract 32.4 and 45 to get your final answer because if a question has the words " how much more " you will most likely have to subtract or include subtraction
Pls help me!
1/3 of it is 9?
Answer:
27
Step-by-step explanation:
(1/3) * x = 9
x = 9 * (3/1)
x = 27
Hope this helps!
Answer:
let the number be x
1/3*x=9
x/3=9
x=9*3
x=27
Step-by-step explanation:
therefore the number is 27
At a bakery, 55 chocolate chip cookies were burned. if that was 15% of the day's production, how many total cookie did they make that day?
The total number of cookies that was made that day given that 55 which is 15% was burnt is 360.
How to solve for the number of cookies madeWe know that the number of burned cookies is 55, and that this represents 15% of the total production for the day.
We can use this information to set up a proportion to find the total number of cookies made that day.
Burned cookies / Total cookies = 15% / 100%
55 / X = 15/100
To find the total number of cookies made, we can cross-multiply and divide:
X = (55 * 100) / 15
X = 365
So, the bakery made a total of 365 cookies that day.
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