The mean area µ of the several thousand apartments in a new development is advertised to be 1250 square feet. A tenant group thinks that the apartments are smaller than advertised. They hire an engineer to measure a sample of apartments to test their suspicion. The appropriate null and alternative hypotheses, H0 and Ha, for this test are

Answers

Answer 1

Answer:

The appropriate null hypothesis is [tex]H_0: \mu = 1250[/tex]

The appropriate alternate hypothesis is [tex]H_a: \mu < 1250[/tex]

Step-by-step explanation:

At the null hypothesis, we test if the mean area is the advertised area of 1250 square feet, that is:

[tex]H_0: \mu = 1250[/tex]

A tenant group thinks that the apartments are smaller than advertised.

Smaller, thus, at the alternate hypothesis, we test if the mean area is less than the advertised area of 1250 square feet, that is:

[tex]H_a: \mu < 1250[/tex]


Related Questions

A quantity with an initial value of 510 decays exponentially at a rate of 0.05% every 7
years. What is the value of the quantity after 3.6 decades, to the nearest hundredth?

Answers

Answer:

508.69

Step-by-step explanation:

...

Factor problems 9 - 12 by using the difference of squares method.
12. x2 + 100

A. (x + 10)(x – 10)
B. (-x + 10)(x – 10)
C. (x + 10)(x + 10)
D. This polynomial cannot be factored by using the difference of squares method.
E. (x - 10)(x – 10)
F. (-x + 10)(-x – 10)

Answers

A. ( x+ 10) (x-10)

The rest are false

Mara drew this net to find the surface area of a triangular prism. Which is the surface area of the triangular prism?
A.312
B.402
C.372
D.492
(Square cm)​

Answers

Answer:

C.372

Step-by-step explanation:

A prism is a three dimensional shape with two identical shapes facing each other known as bases.

A triangular prism has two triangular bases and three rectangle.

From the net attached:

Area of triangle 1 = area of triangle 2 = (1/2) * base * height = (1/2) * 10 cm * 12  cm = 60 cm²

Area of rectangle 1 = Area of rectangle 2 = length * width = 13 cm * 7 cm = 91 cm²

Area of rectangle 3 = base * height = 10 cm * 7 cm = 70 cm²

Total surface area = Area of triangle 1 + Area of triangle 2 + Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3

Total surface area = 60 + 60 + 91 + 91 + 70 = 372 cm²

Simplify the expression. Write your answer in positive exponent form:
(1/4) ^3 x (1/4) ^7

Answers

Answer:

1/4¹⁰

Step-by-step explanation:

this is the the simplified version for the question


If these two triangular puzzle pieces are to be made congruent, what must be the measure of angle z?

Answers

Answer:

116

Step-by-step explanation:

180-28=152

152-36=116

HELP ME PLEASE! ×∆×

Applying the Pythagorean theorem, solve this triangle.​

Answers

Answer:

The length of the hypotenuse is the square root of 169, which in turn is 13.

Step-by-step explanation:

Here we have a right triangle with leg lengths 12 m and 5 m.  Because this is a right triangle, we can apply the Pythagorean Theorem to find the length of the hypotenuse.

The Theorem states that a^2 + b^2 = c^2.  In this particular case,

(12 m)^2 + (5 m)^2 = c^2

which in turn becomes:

144 + 25 = 169.  The length of the hypotenuse is the square root of 169, which in turn is 13.

The souvenir stand sells hats, postcards, and magnets. They have twice as many postcards as hats, and 100 more magnets than postcards.
Let h represent the total number of hats. Write an expression in terms of h for the total number of items they have to sell.

Answers

Answer:

4h + 100

Step-by-step explanation:

h = total number of hats

postcards = 2h

magnets = h + 100

Add them all together:

h + 2h + h + 100 = 4h +100

margo has 6 square tiles of equal size. each side of each tile is 0.8 inch long. if margi places all the tiles in a row with sides touching, how long is the row?

Answers

༆PROBLEM:

—————————————————

Margi has 6 square tiles of equal size. each side of each tile is 0.8 inch long. If Margi places all the tiles in a row with sides touching, how long is the row?

༆SOLUTION:

—————————————————

[tex]\mathrm{N = 6×0.8 \: inch}[/tex]

[tex]{\boxed{\mathrm\green{N = 4.8 \: inch}}}[/tex]

༆ANSWER:

—————————————————

[tex]\purple{\boxed{\boxed{\tt\pink{➢4.8 \: inch}}}}[/tex]

If Margi places all the tiles in a row with sides touching, the row will be 4.8 inch long!

Find the roots of the Equation 16+x^2=0

Answers

Answer:

x = 0   or   x = - 16

Step-by-step explanation:

16+x^2=0

x ( x + 16 ) = 0

using the algebra rule a . b = a = 0 and b = 0

x = 0    or   x = - 16

so the answer is  x = 0 and x = -1 6

Mark brainliest plsssssssssss

What number makes the equation true?

Answers

-2 1/3 is the answer

Which is the equation for the graph of the limacon curve below?
[-5,5] by [-5,5]

Answers

Answer:

Answer is D.

Step-by-step explanation:

The Equation of the Graph is r= 1 + 3 sinФ .

What is Graph for Polar Coordinates?

The three crucial trigonometry ratios on which functions are defined are sine, cosine, and tangent. The graphs for the three trigonometric functions sin, cos, and tan are shown below. In these trigonometry graphs, the y-axis represents the value of the function at each given angle, while the x-axis represents the angle values in radians.

here, we have,

Given:

The Graph for each function is Attaches Below.

The graph represented here shows the function r= 1 + 3 sinФ .

The graph for, r= 1 + 3 cos   have the vertical graph.

and, the graph for, r= 2+ 2 sinФ    have the Circular graph.

and, the graph for, r= 3 +  sinФ    have the Circular graph.

Learn more about Graph for Polar Coordinates here:

brainly.com/question/13016730

#SPJ7

someone please help me!!!!!!​

Answers

Answer:

169×5=845

Step-by-step explanation:

ok now mark me brainlist

Help I need answers fast!

Answers

Hope this helps! This is steps on how to complete it & answer at bottom

simplify cos(2x)/ cos(x)-sin(x)

Answers

The value of the trigonometric expression cos(2x)/ [cos(x)-sin(x)] will be cos(x) + sin(x) thus option (C) is correct.

What is a trigonometric function?

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.

As per the given,

cos(2x)/ [cos(x)-sin(x)]

Since, cosx = cos²x - sin²x

cos(2x)/ [cos(x)-sin(x)]  = (cos²x - sin²x)/[cos(x)-sin(x)]

Since, A² - B² = (A + B)(A - B)

(cos²x - sin²x)/[cos(x)-sin(x)] = [cos(x)+sin(x))(cos(x)-sin(x)]/[(cos(x)-sin(x))]

⇒cos(x) + sin(x)

Hence "Trigonometric expression cos(2x)/[cos(x)-sin(x)] value will be sin(x) + cos(x)".

For more information about the trigonometric function,

https://brainly.com/question/14746686

#SPJ2

A person is 89-93 pounds depending on the day, 13 years old, and 5 foot tall. Is this an appropriate weight?​

Answers

Answer:

I don't think so cause average in my town is 100 to 109

Answer:

I don't think so

Step-by-step explanation:

¯\_(ツ)_/ i can't tell you

When graphing the coordinate (3,4) you would...

A. first move 3 coordinates up the y axis and then 4 coordinates over the the x axis

B. first move 3 coordinates over on the x axis and then 4 coordinates up the y-axis

Answers

The answer is B

You would first move 3 coordinates over on the x axis and then 4 coordinates up the y axis.

100 points
If you tell me to use quizlet or give me a wrong answer or link you will be reported

Answers

[tex]\huge{ \mathbf{  \underline{ Answer }\:  \:  ✓ }}[/tex]

The sand we need to fill the cylinders is equal to the total volume of the six cylindrical posts .

Given terms ( common for each cylinder ) :

height (h) = 4 ftradius. (r) = 0.5 ft

[tex] \large \boxed{ \mathrm{volume =\pi {r}^{2} h}}[/tex]

[tex]3.14 \times \dfrac{1}{2} \times \dfrac{1}{2} \times 4[/tex]

[tex] \mathrm{3.14 \: ft {}^{3} }[/tex]

Since volume of each cylinder is equal, so total volume of six cylindrical post :

[tex]3.14 \times 6[/tex]

[tex] { \mathrm{18.84 \: ft {}^{3} }}[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

18.84 feet with an exponent of 3 hope this helps

The spinner shown has congruent sections. The spinner is spun 63 times. What is a reasonable prediction for the number of times the spinner will land on a section that is shaded red?​

Answers

Answer:

36 times

Step-by-step explanation:

Given

[tex]Red = 4[/tex]

[tex]Total = 7[/tex]

[tex]n = 63[/tex]

See attachment

Required

Predicted number of times to land on red

First, we calculate the probability of landing on red

[tex]Pr = \frac{Red}{Total}[/tex]

[tex]Pr = \frac{4}{7}[/tex]

The predicted number of red is the =n calculated as:

[tex]Red = Pr * n[/tex]

[tex]Red = \frac{4}{7}*63[/tex]

[tex]Red = 4 * 9[/tex]

[tex]Red = 36[/tex]

Find X in the given figures.

Answers

The correct answer is 6

What number is 48 out of 250%

Answers

Answer:

120

Step-by-step explanation:

reduce the fraction from

[tex]48 \times \frac{250}{100 } [/tex]

to

[tex]48 \times \frac{5}{2} [/tex]

then multiply and you get 24 × 5 which is 120

Which of the following is a secant on the circle below?
V
s
R 120
120°
T
O A. SU
B. RT
C. SU
D. UT

helpp someonee

Answers

Answer:

A and B

Step-by-step explanation:

A secant is a line which intersects a circle at 2 points

SU and RT both intersect the circle at 2 points and are secants

Answer:its SU

Step-by-step explanation:

ITS THE ONLY CORRECT ANSWER YALL

Carter wants to cover his bedroom window with a piece of plywood to prepare for an upcoming storm. The window measures 4 1/2 feet tall and 2 1/4 feet wide. Find the area of the window.


fast please

Answers

Answer:

Step-by-step explanation:

Basically you turn 1/2 into fourths,  1/2 = 2/4

After that you would multiply 4 2/4 x 2 1/4

Then you get 10.125 turned into a fraction is 81/8

                                                   

Lightning flashes and is followed by the sound of thunder. The formula that relates the time between seeing the lightning, hearing the thunder, and the distance from the storm is: t = 3y, where t=time (seconds) y= distance (kilometers) How far away is the lightning if you hear the thunder 8 seconds after you see the lightning?​

Answers

Answer:

2 2/3 kilometers

Step-by-step explanation:

t = 3y

let t = 8

8 = 3y

Divide each side by 3

8/3 = 3y/3

8/3 = y

2 2/3 kilometers

Answer:

2 2/3 kilometers

Step-by-step explanation:

A geometric sequence has the terms with values a5=58 and a10 = 440.4375.
Part A: Determine what the common ratio is.

Answers

Answer:

1.5

Step-by-step explanation:

58(r)^5 = 440.4375

r^5 = 440.4375 / 58

r^5 = 7.59375

r = 1.5

Look at picture included helpp aghhh, lots of points will be given!!!

Answers

Answer:

a) 677,040 b) 17,160

Step-by-step explanation:

a) this is a combinations problem as it deals with selection, rather than order. you can use a calculator to solve this:

there are 65 objects (colors) taken 4 at a time

(see photo)

there are 677,040 possible ways to arrange the boxes.

b) unlike question a, this is a permutation. the order matters.

since Ali can only visit the cities once, you must multiply by decreasing values starting from 13 down to 10 (4 "slots" for the 4 days)

13*12*11*10 = 17,160 possiblities

find the square root of 3 upon 5 upto 2 decimal places​

Answers

Answer:

Square root of 3 upon 5:

√3÷5

= 0.3464101615137

0.35 (corrected to 2 decimal places)

How many ways are there to fill the four committee positions?

Answers

Answer:

3 ways

Step-by-step explanation:

since the lowest # of people interested in a position is 3, there can only be 3 different ways to fill an entire 4-person committee

find the area of a triangle with vertices A(1,4)B(1,7),C(4,7)​

Answers

9/2 Sq. units is a Right answer...

Answer:

4.5 units²

Step-by-step explanation:

Given ΔABC with vertices:

A(1,4), B(1,7), C(4,7)​

We observe that

AB is vertical segment with length:

7 - 4 = 3 units

BC is horizontal segment with length:

4 - 1 = 3 units

The area:

A = 1/2bhA = 1/2(3)(3) = 9/2 = 4.5 units²

0.54+13,500=?/100+13,500 help pls

Answers

Answer:

54

Step-by-step explanation:

A bag contains 8 apples and 6 oranges. You randomly draw a piece of fruit from the bag, eat it, and than randomly draw another. What is the probability you draw and eat an apple than draw an orange?

Answers

Answer:

[tex]probability \ of\ choosing\ apple\ first = \frac{8}{14}\\\\probability\ of\ choosing\ orange\ second = \frac{6}{13}\\\\probability \ of \ choosing \ apple \ and \then \ orange = \frac{8}{14} \times\frac{6}{13} = \frac{24}{91}[/tex]

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