14. A researcher wants to know if the average price of a home in Salt Lake City is higher than the average home in the entire United States. If you know that the average home price in Salt Lake City is $450,000 and the average home price in the entire country is $425,000, please conduct the appropriate test to see if Salt Lake City is more expensive under the following two conditions: (make sure to state which test you are using - they should be different, your null and alternative hypotheses, your a level, the critical score for that test, your statistical conclusion based on the observed statistic, and the meaning of your statistical conclusion in words) a. when you are given the actual standard error of the entire population of the country to be $30,000. (25 points) b. when you are given the estimated population standard deviation of homes in Los Angeles to be $30,000 for 360,000 homes (25 points)​

Answer:

217=31m; m=7, 7 miles per day

Step-by-step explanation:

217/31=m 217=31m, just divide the total number of miles by the number of days

Answer:

x < 9 ; x > 15

Step-by-step explanation:

| x - 12 | > 3

x - 12 > 3

x > 12 + 3

x > 15

-x + 12 > 3

-x > 3 - 12

-x > -9

x < 9

Combined:

x < 9 ; x > 15

Answer:

18 Liters of water

Answer:

hope this help you

have a nice day/night

Answer:

y  ≤  5

Step-by-step explanation:

too lazy to explain :/

Answer:

A

Step-by-step explanation:

A is a triangular prism

Answer:

a)  0 , 1

b) 0.56 , 0.06

Step-by-step explanation:

X = 0.2

Y = 0.3

Find the distribution of X + Y

a) All the possible values of  X + Y

The possible values of X + Y  are ; 0,1

b) The probabilities that X + Y takes each of the values

P(X+Y=0 ) = ( 1-0.2 )*(1-0.3) = 0.56

P( X +Y = 1) = 0.2*0.3 = 0.06

Answer:

40.5

Step-by-step explanation:

what i do is I divided first by 10. because 100 is 10x10.

so 4050 divided by 10 is 405.

405 divided by 10 is 40.5

4050 divided by 100 = 40.5

Answer:

180 degrees minus 54 equals jml

Step-by-step explanation:

180-54=JML

Answer:

10 years

Step-by-step explanation:

Given

Decline from (0,h) to (10,0)

See attachment for graph

Required

Determine the age when height = 0

The function of the graph is represented as: (age, height)

So, we need to read from the graph the corresponding value of age (on the x-axis) when height = 0 (i.e. the y-axis)

From the attached graph;

[tex]age = 10[/tex] when [tex]height = 0[/tex]

Hence, the age of the car is 10 years

Answer:

d

Step-by-step explanation:

Answer:

The correct answer is:

Step-by-step explanation:

The given values are:

Service time varies,

Repair time = 2 hours

Standard deviation = 1.5 hours

Robotics uses per hour cost,

= $35

Company's cost per hour,

= $28

(a)

⇒ Arrival rate = Jobs per hours

then,

                       = [tex]\frac{8 \ hours}{3 \ jobs}[/tex]

                       = [tex]2.666 \ hours \ per \ job[/tex]

The jobs per hour will be:

⇒  [tex]\lambda=\frac{1}{2.666}[/tex]

       [tex]=0.375[/tex]

(b)

⇒ Service rate = jobs per hour

then,

                      μ = [tex]\frac{1 \ repair \ job}{2 \ hours}[/tex]

                         = [tex]0.5 \ jobs[/tex]

Answer:

(-4,5)

Step-by-step explanation:

that is the top left quadrant which means the x value has to be negative but the y value has to be positive

9514 1404 393

Answer:

  not on the same line

Step-by-step explanation:

Any two distinct points define a line. Additional points may or may not be on that line. If they are on the line, they are collinear with other points on the same line.

Any point not on the line is noncollinear with the points that are on the line.

Answer:

I attached the answers :)

Step-by-step explanation:

hope this helps :)

(Its a bit messy becuz i used a mouse to write, sry about that)

Answer:

0.70L

Step-by-step explanation:

3m=2b

convert 8 b to mugs

therefore 8b=12m

12m+10m=22m

15.4/22=0.700l

Answer:

Cos 2theta = -3/5

Step-by-step explanation:

Given that;

tan theta = -2

tan theta = -2/1 = opp/adj

hyp^2 = (-2)^2+1^2

hyp = √4+1

hyp = √5

sin theta = opp/hyp

sin theta = -2/√5

Cos theta = adj/hyp

Cos theta = -2/√5

Cos 2theta = 1-2sin^2 theta

Cos 2theta = 1- 2(-2/√5)^2

Cos 2theta = 1- 2(4/5)

Cos 2theta = 1- 8/5

Cos 2theta = (5-8)/5

Cos 2theta = -3/5

Answer:

x² + 4x

Step-by-step explanation:

Area of the rectangle = length × width

length = x + 4

width = x

Therefore,

Area = x(x + 4)

Area = x*x + x*4

x² + 4x

Answer:

B.

Step-by-step explanation:

Its meh best guess

Answer:

B.

Step-by-step explanation:

I think it is B

Answer:

[tex]6\sqrt2\\OR\\8.48528137[/tex]

Step-by-step explanation:

The area of a sector of a circle is found by:

[tex]A = \frac{\theta*r^2}{2}[/tex]

The question asks for the radius so the equation above can be repurposed

[tex]r = \sqrt\frac{2A}{\theta}[/tex]

A = 3pi

angle = pi/12

[tex]\frac{6\pi}{\pi/12} = \frac{72\pi}{\pi} = 72[/tex]

[tex]\sqrt{72} = 6\sqrt2 = 8.48528137[/tex]

Answer:

z = -11, z = -2

Step-by-step explanation:

Given that, ([tex]f(z)=\sqrt{z+27} -z[/tex]) and ([tex]f(z)=7[/tex]), set up an equation that puts the first value of ([tex]f(z)[/tex]) equal to the other given value of the function.

[tex]f(z)=\sqrt{z+27}-z=7[/tex]

Use inverse operations to solve,

[tex]\sqrt{z+27}-z=7\\\\\sqrt{z-27}=7+z\\\\z+27 = (7+z)^2\\\\z + 27 = 49+14z+z^2\\ -(27+z)\\\\0 = z^2+13z+22[/tex]

Factor,

[tex]0=(z+11)(z+2)[/tex]

Solve using the zero product property, the zero product property states that any number times zero equals zero;

[tex]z=-11,z=-2[/tex]

Answer:

Then solve the rest using the quadratic formula

Answer:

The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is 27:1

Step By Step Explanation:

Volume of the smaller cylinder(V1)=π(r^2)h

Volume of the larger cylinder(V2)=π(r^2)h

=π(3r)^2*3h

=π*9(r^2)*3h

=27π(r^2)h

The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is 27π(r^2)h/π(r^2)h i.e. 27:1

Answer:

4 gallons/1 day

Step-by-step explanation:

What is a rate? A rate is writing a ratio in fraction form. A ratio is the proportion of two things. (ex: for every 1 dog, there are two cats.)

Creating the ratio: For the ratio, there is no given amount of which one needs  to come first, but because it is about the milk, I put that first. In the problem it says 12 gallons for 3 days so: 12/3

Simplifying: To simplify, think of the largest factor between the two numbers. If you can't immediately, think of one factor in common and keep simplifying. In this case, 4 is the greatest common factor between these. To simplify, divide both sides by four, and that is your answer: 4: 1

Answer:in what can I help

Step-by-step explanation:

let one angle be X

so, other angle be 5x-12

ATQ

X+5x-12=180

6x=180-12

6x=168

X=168/6

hence X=28

now,one angle=28

other angle is 5×28-12

= 140-12.

= 128

Answer:

The point estimate of the proportion of women who trust recommendations made on Pinterest is of 0.78.

Step-by-step explanation:

To find the point estimate of the proportion of women who trust recommendations made on Pinterest, we find the sample proportion.

In this question:

150 women

117 trust recommendations made on Pinterest.

Point estimate:

[tex]p = \frac{117}{150} = 0.78[/tex]

The point estimate of the proportion of women who trust recommendations made on Pinterest is of 0.78.

Answer:

224 in.²

Step-by-step explanation:

The tent has a shape of a triangular prism. So, we are looking for the Lateral surface area of a triangular prism.

Lateral surface area of a triangular prism = Perimeter of base × height of prism

Perimeter of base = 5 + 6 + 5 = 16 in.

Height of prism = 14 in.

Plug in the values

Lateral Surface Area = 16 × 14 = 224 in.²