A real estate agent is working for a developer who claims that the average commute time to downtown is 20 minutes with a standard deviation of 7 minutes. Stephon is an independent real estate agent and wants to check the times for his client. He took a random sample of 15 commute times and found an average of 26 minutes. He did hypothesis testing using a significance level of 5%. Which conclusion could he make? The z-statistic is 0. 22, so the null hypothesis should not be rejected. The z-statistic is 1. 69, so the null hypothesis should not be rejected. The z-statistic is 3. 32, so the null hypothesis should be rejected. The z-statistic is 3. 67, so the null hypothesis should be rejected.

Answers

Answer 1

We conclude that z-score = 0.0005 which is less than 5%.

To calculate the z-statistic,

We must first calculate the standard error.

What is the formula for standard error?

Standard error is standard deviation divided by the square root of the population.

[tex]standard error=\frac{standard deviation }{\sqrt{population} }[/tex]

In this case, it is equal to 1.81.

The z-score is defined the distance from the sample to the population mean in units of standard error.

z = (26 – 20)/1.81 = 3.31

Therefore we conclude that  z-score = 0.0005 which is less than 5%.

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Related Questions

Find the length of the darkened arc. leave your answer in terms of

Answers

Answer:

a

Step-by-step explanation:

you can split nine into three

Answer:

The answer is A.

Step-by-step explanation:

You gotta split 9 into 3

In each diagram shown below, solve for the length of side CD using the information given. Show the trig ratio you use and your algebra to find your final answer. Round all answers to the nearest tenth​

Answers

Applying the trigonometry ratios, we have:

a. CD = 63.6

b. CD = 33.8

c. CD = 16.1

d. CD = 15.9

What are the Trigonometry Ratios?

The trigonometry ratios are used to find a length or angle in any right triangle. They are:

SOH, which is sin ∅ = opp/hypCAH, which is cos ∅ = adj/hypTOA, which is tan ∅ = opp/adj

a. ∅ = 32°

hyp = 75

adj = CD

Apply CAH:

cos 32 = CD/75

CD = cos 32 × 75

CD = 63.6

b. ∅ = 56°

opp = 28

hyp = CD

Apply SOH:

sin 56 = 28/CD

CD = 28/sin 56

CD = 33.8

c.  ∅ = 43°

opp = 15

adj = CD

Apply TOA:

tan 43 = 15/CD

CD = 15/tan 43

CD = 16.1

d.  ∅ = 27°

hyp = 35

opp = CD

Apply SOH:

sin 27 = CD/35

CD = sin 27 × 35

CD = 15.9

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Find the volume of the cylinder. round to the nearest tenth.

Answers

Answer:

3217.00

Step-by-step explanation:

V=πr^2h=π·8^2·16≈3216.99088

Answer:

804.2 or 803.8

Step-by-step explanation:

volume = π · r2 · h

π · [tex]4^{2}[/tex] · 16 = 804.2

3.14 · [tex]4^{2}[/tex] · 16 = 803.8

Briefly describe a predatory/prey boom bust graph.

Answers

Answer:

This can lead to cyclical patterns of predator and prey abundance, where prey increase in number and then, with abundant food, predator number increases ...

Step-by-step explanation:

Use a ladder method to write 48 and 180 as a product of their prime factors?​

Answers

Factors of 48 are :2,2,2,2,&3. Factors of 180:2,2,3,3,&5.

Theo is a cleaner,
The table shows information about the time it will take him to clean
each of four rooms in a house,
Theo wants to clean all four rooms
Room
Time
in one day
Kitchen 1 hour 50 minutes
He will have breaks for a total time
of 85 minutes,
Lounge 55 minutes
Theo is going to start cleaning at 9 am,
Bedroom 1 1/2 hours
What time will he finish cleaning?
Bathroom
35 minutes

Answers

Step-by-step explanation:

1 hour 50 minutes = 110 mins

1 1/2 hours = 90 mins

add all these:

110

90

85

55

35

when you add all these you get 375

every hour has 60 minutes

375 ÷ 60 = 6.15

if he starts at 9 am and he cleans for 6.15 hours he will be finished by 3:15pm.

Based on the number of minutes Theo will take to clean the various rooms, and the time he will take to rest, he will finish cleaning at 3:15 pm.

What time will Theo finish cleaning?

The best thing to do here is to convert all the minutes to decimals. This would make adding them up easier.

Kitchen = 1 hour 50 minutes = 1 + 50/60 = 1.833 hours

Lounge = 55 minutes = 55/60 = 0.916 hours

Bedroom = 1.5 hours

Bathroom = 35 minutes = 35/60 = 0.583

Breaks = 85 / 60 = 1.417

Add them up:
= 1.833 + 0.916 + 1.5 + 0.583 + 1.417

= 6.249 hours

= 6 + (0.249 x 60 minutes)

= 6 hours 15 minutes

The time he will finish is:

= 6 hours 15 + 9

= 1515 hours

= 3:15 pm

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Karissa rides her bicycle for 4 hours and is 22 miles from her house. After riding for 8 hours, she is
42 miles away
What is Karissa's average rate during her trip?
__ miles per hour

Answers

Answer:

5.5

Step-by-step explanation:

We nned to divide to solve this!!

22/4 = 5.5

She is going 5.5 mph!!

Have an amazing day!!

Please rate and mark brainliest!!!!

This is a map of a remote desert region. the government want to supply power to all villages in this region. edges
represent potential connection routes and existing roads. distances are in miles. the plan is to design an mst
system, where the power lines plug into the hub (the village with the most connections running through it).
which village is the hub?
yanu
ollsed
mai

Answers

The village that is the hub in the map will be the village that is the focal point and one with the most connections running through it.

What is a map?

Your information is incomplete as the map isn't given. Therefore, an overview will be given. A map simply means a diagrammatic representation of an area.

In this case, the hub in the city will be the central part of the city. It's usually the focal point in an area.

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Carlos vende vasos con 250 ml de limonada cada uno. si preparó 9 litros de limonada, ¿cuántos vasos de limonada puede servir?

Answers

36 vasos.
En cada litro hay 4 vasos
9x4= 36

(100 POINTS !!) Identify the vertex of the parabola.

Answers

Answer:

(-4,0)

Step-by-step explanation:

pls help i need this FASTTTT

Answers

Answer:

31 cm2

Step-by-step explanation:

Rectangle 5X2 = 10 cm2

Triangle (6)(7)/2 = 42/2 = 21 cm2

Total area = 10 + 21 = 31 cm2

Hope this helps

Answer:

31 cm^

Explanation:

We break it down by finding the areas of individual shapes first then add them together.

I WILL GIVE BRAINLIEST! PLEASE ANSWER CORRECTLY!

4. Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = (x − a)(x − b). Describe the direction of the parabola and determine the y-intercept and zeros.


5. Create a graph of the polynomial function you created in Question 4

Answers

Answer:

4. equation: f(x)=(x-2)(x-1)

direction: parabola faces up bc a is positive

y-intercept: (0,2)

zeros/x-intercepts: (1,0) & (2,0)

5. graph is attached (i used desmos)

!!!!!!!!!!!!!!!!!!!!!!!!!HELP!!!!!!!!!!!!!!! Find the slope of the line.

Answers

Answer:

3/1

Step-by-step explanation:

Make sure you know a few concepts first:

The point where the line crosses the y-axis (or vertical axis) is called the y-intercept.Slope is commonly taught using [tex]\frac{rise}{run}[/tex] as I will teach it here.First, find the y-intercept of the line. This line crosses the y-axis as (0,0), so that is the y -intercept.Find another point on the line, preferably where it crosses a whole-number coordinate (just for simplicity… you can use any point on the line). We will use the point (1,3). Counting in your head, count vertically from (0,0) until you are horizontal to the point (1,3) we chose earlier. Put the distance it took to reach that point on the top (numerator) of the fraction. Because it takes 3 counts to be horizontal, your fraction should look like [tex]\frac{3}{run}[/tex].Count horizontally until you reach the point (1,3). Put the number of units on the bottom (denominator) of the fraction. The number was 1 unit, so your finished fraction which is the slope is [tex]\frac{3}{1}[/tex].

Alternatively

Use the formula for slope from two points… [tex]\frac{x_{1} -y_1}{x_2-x_1}[/tex]Find two points on the line. We will use (0,0) and (1,3). Designate one point as 1 and the other as 2. We will choose (0,0) to be 1 and (1,3) to be 2.Plug in the points following the “key” you created: Let x₁ be the x coordinate from ordered pair 1, let y₁ be the y coordinate point from ordered pair 1, etc. Following this pattern, you should be set up like this: [tex]\frac{3-0}{1-0}[/tex]Subtract to get [tex]\frac{3}{1}[/tex] as your slope.

I think of a number. I multiply it by 5. I then subtract 19. Finally, I double the resu The final number is 22. What number did think of?​

Answers

Answer:

8.2 is your answer.

Step-by-step explanation:

first you would add 22 and 19 together to get 41

then you divide by 5 to get your answer 8.2

22+19=41÷5=8.2

HELP PLS IS OVER DUE AND I WANT TO GET THIS DONE RIGHT NOW!

Answers

There are 168 hours in 7 days hope this helps

Answer:

168 hours

Step-by-step explanation:

24 × 7 = 168 hours

So 168 hours in 7 days

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Rewrite in simplest terms: 8(2n + n + 8) − n

Answers

Answer:

[tex]23n + 64[/tex]

Step-by-step explanation:

Hope this helps

3 3/5 + 1 1/6 answer as a fraction

Answers

Answer:

[tex]\boxed{\sf{4\dfrac{23}{30} }}[/tex]

Step-by-step explanation:

It is necessary to add the whole numbers of fractions from left to right in order to solve this problem.

3 3/5+1 1/6

First, you have to add the whole numbers.

3+1=4

After that, you can combine by a fraction.

6*3=18

18/5+ 1 1/6

1+6=7

7/6

Rewrite the problem down.

18/5+7/6

Solve.

5*6=30

143/30

=23/30

[tex]\boxed{\sf{4\dfrac{23}{30} }}[/tex]

Therefore, the final answer is 4 23/30.

I hope this helps you! Let me know if my answer is wrong or not.

help guys with this question

Answers

Answer:

slope: 2

points: (2, 4), (6, 12)

slope:

[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\rightarrow \sf \dfrac{12-4}{6-2}[/tex]

[tex]\rightarrow \sf \dfrac{8}{4}[/tex]

[tex]\rightarrow 2[/tex]

-x - 3y = 6, 2x + 3 = -8 equivalent equation and solution

Answers

Answer:

x = -11/2 , y = -1/6

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}-x-3y=6\\ 2x+3=-8\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Substitute\:}x=-\frac{11}{2}[/tex]

[tex]\begin{bmatrix}-\left(-\frac{11}{2}\right)-3y=6\end{bmatrix}[/tex]

[tex]Simplify[/tex]

[tex]\begin{bmatrix}\frac{11}{2}-3y=6\end{bmatrix}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=-\frac{11}{2},\:y=-\frac{1}{6}[/tex]

Hence, x = -11/2 , y = 1/6

~Learn with Lenvy~

Hi please help me me with this thank you so much

Answers

Question 1: Area of BaseBase is a Square

          ⇒ Area = 18 * 18 = 324 square inches

Question 2: Height of PyramidHeight of Pyramid: distance between the tip of the figure to the base

         ⇒ Height = 14 inches

Question 3: Volume of PyramidVolume of Pyramid's formula ⇒ 1/3 * (base area) * height

          ⇒ [tex]\frac{1}{3} * 324 * 14 = 108 * 14 =[/tex] 1512 cubic inches

Hope that helps!

What is the answer to this question????

Answers

Answer:

Yes, its a linear function

Step-by-step explanation:

See, all the results here are one-one which means for a distinct input there will be a distinct output.

That's why its a linear function

pls help i will give 5 starts and brainliest question is down below 9:22

Answers

4) -0.3 = -1/3 < -1/7 since the bigger a negative number is the less positive it is. 1/8 is positive so it is clear that it should be placed last. & thus do all options this way.

5) B

Area of a triangle = ½ bh.

where b = base &

h = height.

Area of outer shape = (½ x 16 x 12) in^2.

= 96 in^2.

Area of unshaded inner shape = (½ x 3 x 4) in^2.

= 6 in^2.

Area of shaded region = (96 – 6) in^2.

= 90 in^2.

What is the length of the sides of kite abcd? ab = 20; cd = 15 ab = 15; cd = 20 ab = 9; cd = 16 ab = 24; cd = 25

Answers

The length of the side AB and side CD of kite abcd which is shown in the figure is 15 units and 20 units respectively.

What is Pythagoras theorem?

Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.

Let the intersection point of dignoals is O. The figure of the kite ABCD, is attached below. The sides of the kite ABCD, are,

[tex]AO=12\\OB=9\\CO=12\\OD=16[/tex]

In the triangle AOB using the pythagours theorem,

[tex]AB=\sqrt{(AO)^2+(OB)^2}\\AB=\sqrt{(12)^2+(9)^2}\\AB=\sqrt{225}\\AB=15[/tex]

Similarly, in the triangle DOC using the pythagours theorem,

[tex]CD=\sqrt{(CO)^2+(OD)^2}\\CD=\sqrt{(12)^2+(16)^2}\\CD=\sqrt{400}\\CD=20[/tex]

Thus, the length of the side AB and side CD of kite abcd which is shown in the figure is 15 units and 20 units respectively.

Learn more about the Pythagoras theorem here;

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Answer:

its B

Step-by-step explanation:

solve for x and round if necessary

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \sin(37 \degree) = \frac{0.6}{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \frac{3}{5} = \frac{0.6}{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3x = 5 \times 0.6[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 3 \div 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 1[/tex]

Therefore, the required value of x is 1

Answer:

[tex]\displaystyle 1[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{0,6} = csc\:37 \hookrightarrow 0,6csc\:37 = x \hookrightarrow 0,9969840846... = x \\ \\ 1 ≈ x[/tex]

OR

[tex]\displaystyle \frac{0,6}{x} = sin\:37 \hookrightarrow xsin\:37 = 0,6 \hookrightarrow \frac{0,6}{sin\:37} = x \hookrightarrow 0,9969840846... = x \\ \\ 1 ≈ x[/tex]

Information on trigonometric ratios

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]

I am joyous to assist you at any time.

how do I multiply 6ab (xa+ya^6 +8)

Answers

Answer:

6xba^2 + 6yba^7 + 48ab

Step-by-step explanation:

To do this, you have to multiply 6ab by each of the inside terms,

So you can write it out like this

6ab (xa + ya^6 + 8)

6ab(xa) + 6ab(ya^6) + 6ab(8)

Then you can simplify:

6xba^2 + 6yba^7 + 48ab

(When you multiply the same variable by itself, you turn it into an exponent)

For example x * x = x^2

Or x^4 * x^3 = x^7

Find the length of the wire

Answers

Answer:

Step-by-step explanation:

It could be 32m. Maybe, I'm not positive though.

Answer:

Hope you like the answer

Step-by-step explanation:

Mark me as Brilliant if you like the answer

Analyze the diagram below and answer the question that follows.

In the triangle above, what is the measure of ∠A?

A. m∠A = 30°
B. m∠A = 45°
C. m∠A = 60°
D. cannot be determined

Answers

Answer:

B

Step-by-step explanation:

sames sides same angle

180=90+2x

180-90=2x

90=2x

x=45

1. D=5.9 ft.
calculate the circumference of the circle.



2. D=3.2 ft.
calculate the circumference of the circle.



3. D= 6.1 ft.
calculate the circumference of the circle.




4. R= 3.7 m.
Calculate the circumference of the circle.




5. R=6.2
Calculate the circumference of the circle.




6. R=5.1 Ft.
Calculate the circumference of the circle.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here's the solution ~

As we know, we can calculate the circumference of a circle in terms of its diameter as :

[tex]\qquad \sf  \dashrightarrow \:c = \pi d[/tex]

where, c = circumference and d = diameter

And also, circumference of circle is terms of radius (r) is :

[tex]\qquad \sf  \dashrightarrow \:c = 2\pi r[/tex]

Now, let's move on to questions ~

First

[tex]\qquad \sf  \dashrightarrow \:3.14 \times 5.9 [/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx18.53 \: ft[/tex]

・ .━━━━━━━†━━━━━━━━━.・

Second[tex]\qquad \sf  \dashrightarrow \:3.14 \times 3.2[/tex]

[tex] \qquad \sf  \dashrightarrow \: \approx10.048 \: ft[/tex]

・ .━━━━━━━†━━━━━━━━━.・

Third

[tex]\qquad \sf  \dashrightarrow \:3.14 \times 6.1[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx19.15 \: ft[/tex]

・ .━━━━━━━†━━━━━━━━━.・

Fourth

[tex]\qquad \sf  \dashrightarrow \:2×3.14 \times 3.7[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx2×11.62 \: m[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx23.24 \: m[/tex]

・ .━━━━━━━†━━━━━━━━━.・

Fifth

[tex]\qquad \sf  \dashrightarrow \:2×3.14 \times 6.2[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx2× 19.47 \: units[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx38.94 \: m[/tex]

・ .━━━━━━━†━━━━━━━━━.・

Sixth

[tex]\qquad \sf  \dashrightarrow \:2×3.14 \times 5.1[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx2×16.01 \: ft[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx \: 32.02m[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

The parabola y=x^2 is scaled vertically by a factor of 8

Answers

Answer:

2x8=16 so there for y=x^18

Step-by-step explanation:

What is the word form for 407,219?
A
Four hundred seventy thousand and two hundred ninety
B
Four hundred seventeen thousand, two hundred nineteen
C
Four hundred seven thousand, two hundred nineteen
D
Four hundred seven thousand, two hundred and nineteen

Answers

Answer:

C or D Both basically

Step-by-step explanation:I read them

C -four hundred seven thousand, two hundred nineteen
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