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.
Consider the function f(x) = 2x and the function g(x).
g(t) = f(x + 4)
= 2( + 4)
How will the graph of g(x) differ from the graph of Ax)?
OA
The graph of g(x) is the graph of Ax) shifted 4 units to the left.
OB The graph of g(x) is the graph of f(x) shifted 4 units upward.
C. The graph of g(x) is the graph of f(x) shifted 4 units downward.
D. The graph of g(x) is the graph of Ax) shifted 4 units to the right..
Answer:
c
Step-by-step explanation:
c
Answer:
a
Step-by-step explanation:
can someone say what 45-49 is with regrouping? thanks!
Answer:
it's -4 i don't know what you mean by regrouping, sorry
Step-by-step explanation:
Answer:
45-49
=-4 ans!
this is the answer
Linda bought a total of 12 lb of flounder and shrimp and paid $20 for the flounder and $20 for the shrimp. If the price per pound of the shrimp is twice that of the flounder, how many pounds of each did she buy?
Select one:
a.
8 lb shrimp and 4 lb flounder
b.
4 lb shrimp and 8 lb flounder
c.
6 lb shrimp and 6 lb flounder
d.
2 lb shrimp and 10 lb flounder
Answer:
B: 4 lb shrimp and 8 lb flounder
Step-by-step explanation:
if the price of shrimp is twice the price for flounder, you will have twice as much flounder as you have shrimp, so in terms the only answer that applies to this is B.
The amount of gas that a helicopter uses is directly proportional to the number of hours
spent flying. The helicopter flies for 2 hours and uses 24 gallons of fuel
. Find the number of
gallons of fuel that the helicopter uses to fly for 5 hours,
Answer:
60 gallons
Step-by-step explanation:
We can create a ratio for this. If we consider 2 as the 1 in the ratio, we have a ratio of 1 : 2.5. Therefore, we just need to multiply 24 by 2.5, which equals 60.
I need help with this?
The first equation will be multiplied by 3 and that of the second by 4.
What is an elimination method?An elimination method is a process of solving a system of linear equation, in this we make coefficients of the one variable equal and subtract the equations.
Given that are two equations to be solved by using elimination method,
-4x+4y = 32.....(i)
3x-y = 12......(ii)
To eliminate x, we will multiply eq(i) by 3 and eq(ii) by 4
-12x+12y = 96.....(iii)
12x-4y = 48....(iv)
Solving the equations, we get,
8y = 144
y = 18
Put y = 18 in eq (ii)
3x-18 = 12
3x = 30
x = 10
Hence, the first equation will be multiplied by 3 and that of the second by 4.
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write the equation for the hyperbola with foci (-12,6) , (6,6)and vertices (-10,6), (4,6)
The equation for hyperbola with given foci is [tex]\frac{(x+3)^{2}}{49}-\frac{(y-6)^{2}}{32}=1[/tex]
What is hyperbola?
In analytical geometry, a hyperbola is a conic section that results from the intersection of a plane with a double right circular cone at an angle that touches both of the cone's halves. The two distinct unbounded curves that result from the intersection of the plane and cone are known as hyperbolas.
The standard equation of a horizontal hyperbola with center (h,k) is
[tex]\frac{(x-h)^{2}}{a^{2} } -\frac{(y-k)^{2}}{b^{2} }=1[/tex]
The given hyperbola has vertices at (–10, 6) and (4, 6).
The length of its major axis is 2a= 4-(-10)
2a=14
a=7
The center is the midpoint of the vertices (–10, 6) and (4, 6).
The center is [tex](\frac{-10+4}{2} , \frac{6+6}{2} )= (-3,6)[/tex]
Now, we need to use the relation a^2+b^2=c^2 in order to find b^2.
The c-value is the distance from the center (-3,6) to one of the foci (6,6)
c= 6-(-3)=9
So, 7^2+b^2=9^2
b^2= 9^2-7^2
b^2= 81-49
b^2= 32
Hence, on substituting the obtained values in the standard equation of hyperbola, we get
[tex]\frac{(x-(-3))^{2} }{7^{2}}-\frac{(y-6)^{2} }{32} =1[/tex]
[tex]\frac{(x+3)^{2} }{49}-\frac{(y-6)^{2} }{32} =1[/tex]
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4 x 3/6 = [] x1/6
What number makes the equation true?
Find the inverse of the function.
Y = x + 8
Answer:
Im almost certain its x-8=y
Step-by-step explanation:
Answer:
[tex]f - 1(x) = x + 8[/tex]
i hope it helps
need some help please
Answer:
what help I will help yoy
I need help on this question it’s due tomorrow.
The transformation in the graph is 1 units vertically downwards.
The correct option is A: The graph of g(x) is the graph of f(x) shifted down 1 unit.
What is transformation on the graphs?Let the function f(x) and g(x) are two real functions.
And g (x) = f (x) + k, where k is real numbers.
Function can be sketched by shifting f (x), k units vertically.
The direction of shift can be found by the value of k:
if k > 0, the base graph shifts k units up, and
if k < 0, the base graph shifts k units down.
Given:
The function f(x) = eˣ,
and the function g(x):
g(x) = f(x)-1= eˣ-1.
The graph of both the functions are given in the attached images.
For the base function f (x) and a constant k, the function given by
The transformations in the graph is defined by:
g (x) = f (x) + k, where k is real numbers.
Function can be sketched by shifting f (x), k units vertically.
The value of k determines the direction of the shift. Specifically,
if k > 0, the base graph shifts k units upward, and
if k < 0, the base graph shifts k units downward.
Here, k = -1
And the graph of g(x) is the graph of f(x) is shifted down 1 unit.
Therefore, the f(x) is shifted to 1 unit downward.
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speed getsa u brainle
Answer:
ye?
Step-by-step explanation:
what is the surface area of this rectangular pyramid
Answer:
Hello! answer: 75
Step-by-step explanation:
5 × 5 = 25 for a square
for a triangle 5 × 5 = 25 25 ÷ 2 = 12.5 12.5 × 4 = 50 25 + 50 = 75 therefore the total area is 75 HOPE THAT HELPS!
∫
1
/
√
1
+
(
ln
x
)
2
d
x
The integral ∫1/√1 +(lnx) 2dx is -x+2xln(x)+c
What is Integration?An integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data
The given integral is ∫1/√1 +(lnx) 2dx
= ∫1 +2(lnx)dx
Apply the sum rule
∫f(x)±g(x)=∫f(x)±∫g(x)
= ∫1dx +2∫(lnx)dx
=x+2(xln(x)-x)+c
=-x+2xln(x)+c
Hence, the integral ∫1/√1 +(lnx) 2dx is -x+2xln(x)+c
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Which of the following sentences is true?
Answer:
option a is correct
Step-by-step explanation:
any square is also a rhombus
 please let me know question 10
Which is better 4:3 odds or 3:4 odds? Why?
Answer:
no problem?
Step-by-step explanation:
Construct and interpret a 95% confidence interval to estimate the proportion of the earth that is water. Show all work. Make sure to check your conditions and state your conclusion.
1.) Randomly selected
2.) Less than 10% of population
3.) 50 (0.68)
50 (0.32)
the answer would be 2
There are 120 students and 10 teachers at a small private school. To keep the same
student to teacher ratio, how many teachers are needed for 240 students?
Answer:
20
Step-by-step explanation:
Raina has to give medicine to her cat every morning for the next days. How many weeks is this?
Answer:
(number of days)/7
Step-by-step explanation:
1 week = 7 days
Divide the number of days by 7 to find the number of weeks.
Solve 8 = 2x +4.(1 point)
01) x = -4
O2) x = -1
3) x = 0
4) x = 7
Answer:
x=2, should be the correct answer but that isnt a choice
Step-by-step explanation:
8=2x+4
4=2x
2=x
x=2
Help!! Factor the common factor out of each expression
Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).
What is the equation?A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.
Here,
the two numbers' primary factors are as follows:
-25[tex]b^{2}[/tex] + 15b
Common prime factors can be multiplied to determine the GCF:
=> -25[tex]b^{2}[/tex] = -(5)(5) * [tex]b^{2}[/tex]
=> 15b = (5)(3)b
The expression can be factored in the following fashion because the GCF is 5b:
=> -(5)(5) * [tex]b^{2}[/tex] + (5)(3)b
=> (5b)(-5b+3)
Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).
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HELP PLSS I'M LOST PLSSSSSSSSSSSSSSSSS
Answer:
First Row:
75/100
0.75
75%
Second Row:
10/100 (or 1/10)
0.10
10%
Step-by-step explanation:
Count the squares that are shaded in out of the 100.
Just divide the fraction together for the decimal.
Move the decimal two places to the right to get the percentage
When x^2-2x + 14 is divided by x-1 the remainder is?
Is it 13?
Yes, 13 is the remainder.
See dat pic for full solution.
A: Tomato - 20
B: Cucumber- 9
C: Peas - 27
D: Onion - 6
Answer:
A(tomatos)
Step-by-step explanation:
So to sovle these, we have to look at the percentage chart, and take the percentage of each thing.
tomato - 30%cucumber - 15%peas - 45%onion - 10%We know that divide these numbers by 100 gets us the amount we can multiply the total by, which gives us our answer.
So tomato is .3, cucumber is .15, peas are .45, and onion is .1.
Now, lets mutiply these nubmers by the 60 and see what we get:
.1*60
=
6
That seems correcdt for the onion
.45 * 60
=
27. That looks correct for peas.
.15 * 60
=
9 That looks correct for cucumber
.3*60
=
18. Thats not 20! So that must be the answer!
Hope this helps!
Which rules define the function graphed below? Edge
Answer:
B
Step-by-step explanation:
In the first part for every x, y is the value of x plus 2, while in the second part for every x. y is 5
PLS HURRY! THANK YOU
A. y=(x+5)^2-1125
B. y=(x-5)^2+1125
C. y=-5(x+5)^2-1125
D. y=-5(x-5)^2+1125
Answer:
C. y=-5(x+5)^2-1125 i don't know is this is right
Answer: It’s D, y = -5 (x - 5)^2 + 1125
Step-by-step explanation:
1. Indicate whether the following statements are True (T) or False (B).
(a) Unicellular organisms have one-celled body.(t/f)
(b)
Muscle cells are branched.(t/f)
(c) The basic living unit of an organism is an organ.
(T/F)
(d) Amoeba has irregular shape.(T/F)
Answer:
true,false,false,true
Step-by-step explanation:
Answer:
a) T
b) F
c) F
d)T
Step-by-step explanation:
anyone know this click to see links will be reported
An online health and medicine company claims that about 50% of Internet users would go to an online sight first for
information regarding health and medicine. A random sample of 1318 Internet users was asked where they will go for
information the next time they need information about health or medicine; 606 said that they would use the Internet. Test
the claim that less than 50% of Internet users get their health questions answered online.
Answer:
The claim that less than 50% of internet users get their health questions answered online is correct, given that according to the survey, 45.98% of people do.
Step-by-step explanation:
Since an online health and medicine company claims that about 50% of Internet users would go to an online sight first for information regarding health and medicine, and a random sample of 1318 Internet users was asked where they will go for information the next time they need information about health or medicine; 606 said that they would use the Internet, to test the claim that less than 50% of Internet users get their health questions answered online, the following calculation must be performed:
1318 = 100
606 = X
606 x 100/1318 = X
60600/1318 = X
45.978 = X
Therefore, the claim that less than 50% of internet users get their health questions answered online is correct, given that according to the survey, 45.98% of people do.
please help !!!!!!!!
8.96848786347
i think this should be right i did it with my 5th grade math skills and dont wory i have an a+