A company that makes robotic vacuums claims that their newest model of vacuum lasts, on average, two hours when starting on a full charge. To investigate this claim, a consumer group purchases a random sample of five vacuums of this model. They charge each unit fully and then measure the amount of time each unit runs. Here are the data (in hours): 2.2, 1.85, 2.15, 1.95, and 1.90. They would like to know if the data provide convincing evidence that the true mean run time differs from two hours. The consumer group plans to test the hypotheses H0: μ = 2 versus Ha: μ ≠ 2, where μ = the true mean run time for all vacuums of this model. The conditions for inference are met. What are the appropriate test statistic and P-value?
t = StartStartFraction 2.01 minus 2 OverOver StartFraction 0.893 Over StartRoot 5 EndRoot EndFraction EndEndFraction. The P-value is less than 0.0005.
t = StartStartFraction 2.01 minus 2 OverOver StartFraction 0.893 Over StartRoot 5 EndRoot EndFraction EndEndFraction. The P-value is greater than 0.25.
t = StartStartFraction 2.01 minus 2 OverOver StartRoot StartFraction 0.893 (1 minus 0.893) Over 5 EndFraction EndRoot EndEndFraction. The P-value is less than 0.0005.
t = StartStartFraction 2.01 minus 2 OverOver StartRoot StartFraction 0.893 (1 minus 0.893) Over 5 EndFraction EndRoot EndEndFraction. The P-value is greater than 0.25.

Answers

Answer 1

Answer:

The answer is B. t = StartStartFraction 2.01 minus 2 OverOver StartFraction 0.893 Over StartRoot 5 EndRoot EndFraction EndEndFraction. The P-value is greater than 0.25.

Step-by-step explanation:

EDGE 2021


Related Questions

Multiply (8z-3)(2z+5)

Answers

Answer:

12z if thats wrong lmk

Step-by-step explanation:

Answer is 16z^2+34z-15

A ____ can be observed by all people on the side of the earth experiencing night. Group of answer choices Solar Eclipse Sunrise Lunar Eclipse Gravitation attraction of the sun

Answers

Answer:

Lunar Eclipse

Step-by-step explanation:

Lunar eclipse is the phenomenon that occurs on the night of the full moon. During this phenomenon the Earth comes in between the Sun and the Moon. The Earth blocks the light of the Sun with which the Moon is visible to the people on the Earth. Lunar Eclipse is visible from the part of the Earth that is experiencing the night. The duration of the Lunar eclipse can be for two hours. The moon appears to be red because of the reflection of the Earth.

Hi I really want to check my answer to this question, so if anyone could give it a try that would be very much appreciated!
Betty’s Bite-Size Candies are packaged in bags. The number of candies per bag is normally distributed, with a mean of 50 candies and a standard deviation of 3. At a quality control checkpoint, a sample of bags is checked, and 4 bags contain fewer than 47 candies. How many bags were probably taken as samples?

Answers

Answer:

Hi I really want to check my answer to this question, so if anyone could give it a try that would be very much appreciated!

Step-by-step explanation:

if this is wrogn sorry

the graph shown is not a function because points (-1,2) and (fill in the blank) have the same x value

Answers

For a graphed line to be a function it needs to pass the vertical line test.

If a vertical line goes through the graphed line in more than one x axis then it is not a function.

 Using the given point (-1,2) drawing a vertical line at X = -1, you can see the other vertical line goes through the graphed line at point  (-1,0)

Answer: (-1,0)

Which of the statement(s) about the graph shown are true? Select all that apply.

a. An equation for the graph is y=2x^2-9x+7

b. the function has two roots

c. The solutions of the related quadratic equation are -1.5 and -3

d. The related quadratic equation has two solutions

Answers

Step-by-step explanation:

The solutions of the related quadratic equation are -1.5 and -3

To summarize, the true statements are:

(b) The function has two roots.

(d) The related quadratic equation has two solutions.

What is a Quadratic equation?

ax²+bx+c=0, with a not equal to 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

To determine which statements about the quadratic function that passes through (1,0) and (3.5,0) are true, we need to use the fact that the roots (or x-intercepts) of a quadratic function can be found by solving the related quadratic equation, which is obtained by setting the function equal to zero.

Let's start with a statement (a). Plugging in the two points given into the equation y = 2x^2 - 9x + 7, we get:

At x = 1, y = 2(1)^2 - 9(1) + 7 = 0

At x = 3.5, y = 2(3.5)^2 - 9(3.5) + 7 = 0

This confirms that points (1,0) and (3.5,0) are indeed on the graph of the function, but it doesn't tell us whether this is the only function that passes through those points. So statement (a) alone is not sufficient to determine the true statements.

Next, let's consider statement (b). Since the graph passes through (1,0) and (3.5,0), we know that it must cross the x-axis at those two points. Therefore, the function has two roots or x-intercepts. Statement (b) is true.

Moving on to statement (c), we need to find the solutions of the related quadratic equation. Setting y = 2x² - 9x + 7 equal to zero, we get:

2x² - 9x + 7 = 0

Using the quadratic formula, we find that the solutions are:

x = (9 ± √(9² - 4(2)(7))) / (2(2)) ≈ 2.5 and ≈ 1.75

Therefore, statement (c) is false.

Finally, statement (d) asks whether the related quadratic equation has two solutions. We just found that it has two solutions, so statements (b) and (d) are true.

Learn more about Quadratic equations here:

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The radius of a cylinder is 10 cm and its height is 14 cm what is the volume?

Answers

Answer:

140 pi cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2h

  = pi (10)^2 14

   = pi (100) 14

   = 140 pi cm^3

What is the value of x on a triangle with sides 13cm and 5cm?

Answers

Answer:

12

Step-by-step explanation:

what is the value of x? you ask.

use the pythogoras Theorem =

C^2 = a^2 + b^2

169= 25 + x^2

144 = x^2

√144 = the answer is 12

108k^3 simplify square root

Answers

Answer:

6√3

Step-by-step explanation:

√108= √(36×3)

√36×√6= 6×√3

=6√3

I NEED HELP IMMEDIATELY!!!! PLS HELPP. PLS DO NOT GUESS EITHER BUT PLS CMON AND HELP ME PLSSS

Answers

Answer:

point S is (-2, 0) if that's what the question is asking for

Step-by-step explanation:

Write the number in positive exponent form:
2 x 2 x 2

Answers

Answer:

the answe is 2^3

A large sphere at an amusement park is 165 feet in diameter. Which of the following is closest to the volume, in cubic feet, of the sphere?
261,000
261,000
2,351,000
2,351,000
18,810,000
18,810,000
41,210,000

Answers

Answer:

2,351,000

Step-by-step explanation:

closest to the volume in cubic feet

8. 10xy

I need help plsssssss

Answers

what??????





what are you trying to say?

At a farmers market to vendors sell fresh milk. One vendor sells 2 L for $3.80, and another vendor sells 1.5 L for $2.70. Which leader is a better deal. SOME ONE PLEASE HELPPP

Answers

Answer:

The second dealer is better.

Step-by-step explanation:

3.8/2=   2.7/1.5=

3.8/2=1.9 (first vendor)   2.7/1.5=1.8 (second vendor) 1.8 is less than 1.9.

Daija is looking to fertilize her 24,000 square foot lawn. Super Lawn fertilizer costs $18.49 and covers 6,000 square feet. Quick Fertilizer costs $23.99 and covers 8,000 square feet.

Answers

Answer:

A.) Cheaper Fertilizer is Quick Fertilizer

B.) The cheaper fertilizer now cost $ 61

Step-by-step explanation:

The exact question is as follows :

Given - Daija is looking to fertilize her 24,000 square foot lawn. Super Lawn fertilizer costs $18.49 and covers 6,000 square feet. Quick Fertilizer costs $23.99 and covers 8,000 square feet.

To find - A.) Which fertilizer would be cheaper for Daija to purchase to fertilize her entire lawn?-Show your work or explain your answer.

               B.) Daija has a 15% off coupon on the cheaper fertilizer. Excluding sales tax, what is the new cost of the fertilizer? Round to the nearest cent.

Proof -

A.)

Given that,

Total lawn that have to be fertilize = 24,000

Now,

Super Lawn fertilizer costs $18.49 and covers 6,000 square feet.

i.e.

6000 square feet = $ 18.49

⇒4×6000 square feet = $ 4×18.49

⇒24000 square feet = $ 73.96

∴ we get

Super Lawn costs $ 73.96

Now,

Quick Fertilizer costs $23.99 and covers 8,000 square feet.

i.e.

8000 square feet = $ 23.99

⇒3×8000 square feet = $ 3×23.99

⇒24000 square feet = $ 71.97

∴ we get

Quick Fertilizer costs $ 71.97

As we get

Super Lawn costs $ 73.96

Quick Fertilizer costs $ 71.97

As $ 71.97  < $ 73.96

So,

Cheaper Fertilizer is Quick Fertilizer

B.)

As we get from part a) that

Quick Fertilizer is cheaper and it costs $ 71.97

So,

15% of 71.97 = 10.7955

∴ we get

Now,

Quick fertilizer cost = $ 71.97 - 10.7955

                                 = $ 61.1745 ≈ $ 61

So,

After applying the 15% coupon,

The cheaper fertilizer now cost $ 61

r s + 14s when r=6 and s=1/4

Answers

Answer: 5

Explanation:
Basically you just change the letter for the number since R equals 6 then in the equation it would be 6 instead of R. Then for S, S would equal 1÷4 which equals 0.25. Then you plug in the numbers into your equation so look something like this 6 x 0.25 + 14(0.25) and all that together equals 5.

Hope this helped :)

The speech and science clubs at a high school are both trying to get more involved in their community this year. Currently, they are planning fundraisers for a local nonprofit organization.

The speech club is selling calendars for $12 each. It originally had to pay $150 in printing fees, and the members plan to sell 10 calendars each day.
The science club is offering individual tutoring sessions for $15 per session. The club has no start-up costs, and plans to provide 6 sessions per day.

If x represents the number of days from the start of the fundraiser, what equations can the clubs use to find the total estimated amount each club will raise, y?

Answers

Answer:

here you go!!

Speech club: y = 120x+-150

Science club: y = 90 x

What is algebraic expression?

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11

• The speech club is selling calendars for $12 each. It originally had to pay $150 in printing fees, and the members plan to sell 10 calendars each day.  [ 12*10 -150]

• The science club is offering individual tutoring sessions for $15 per session.[6*15]

The club has no start-up costs, and plans to provide 6 sessions per day.

Speech club: y = 120x+-150

Science club: y = 90 x

to learn more about algebraic expression refer to:

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who want points and brainlist just answer quick............

Answers

ITS THE LAST ONE TRUST ME I JUST FINISHED WITH THAT ONE

Answer:

last answer

Step-by-step explanation:

a keycode must have 4 letters followed by 3 numbers. the letters can be any in the alphabet and the numbers can be from 0 to 5 how many combinations are there

Answers


A. 17,576,612
B. 104,802,414
C. 68,224,318
D.98,706,816

How do you say 1.0324 as a word

Answers

Answer:

one point zero three two four or one and three hundred twenty-four ten-thousandths

Step-by-step explanation:

I will give brainlist A pentagonal prism has dimensions that are four times the dimensions of a similar pentagonal prism. So its volume is
times the volume of the smaller prism.

64
4
8
16

Answers

Answer:

The correct answer is 64

Step-by-step explanation:

we know that,

volume =4x

=4×4×4

=64

Answer:

64

Step-by-step explanation:

Find x. Round your answer to the nearest tenth of a degree

Answers

Answer:

[tex]\displaystyle x \approx 53.1^\circ[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseInverse Trig

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = x

Adjacent Leg = 15

Hypotenuse = 25

Step 2: Solve for x

Substitute in variables [Cosine]:                                                                      [tex]\displaystyle cosx^\circ = \frac{15}{25}[/tex]Simplify:                                                                                                             [tex]\displaystyle cosx^\circ = \frac{3}{5}[/tex]Inverse Trig:                                                                                                      [tex]\displaystyle x^\circ = cos^{-1}(\frac{3}{5})[/tex]Evaluate:                                                                                                           [tex]\displaystyle x = 53.1301^\circ[/tex]Round:                                                                                                               [tex]\displaystyle x \approx 53.1^\circ[/tex]

3/5+3/5+3/5+3/5+3/5=?​

Answers

[tex] \frac{3}{5} + \frac{3}{5} + \frac{3}{5} + \frac{3}{5} + \frac{3}{5} \\ \\ = \frac{3 + 3 + 3 + 3 + 3}{5} \\ \\ = \frac{15}{5} \\ \\ = \cancel \frac{15}{5} \\ \\ = 3[/tex]

Hope This Helps You ❤️

Answer: 3.

Step-by-step explanation:

3/5+ 3/5= 1 1/51 1/5 + 3/5= 1 4/52 2/5 + 3/5= 3.

Lorenzo needs to run 13 1/2 miles this week to meet his goal of his first training plan so far this week he has ran 3 1/2 Miles on Monday and 4 1/4 miles on Tuesday how many more miles does he need to run this week in order to meet his goal

Answers

Answer:

5 3/4 hours  remaining to meet his goal  

Step-by-step explanation:

miles required  to meet his goal = 13 1/2 miles

Miles ran on monday =3 1/2

Miles ran on Tuesday =4 1/4

Miles remaining to reach his goal =Total miles required - Miles ran on Monday and Tuesday

13 1/2 - ( 31/2 + 4 1/4 )

  131/2 -   7 3/4

change to improper fraction for easy solving

27/2 -31/4

54-31 /4=23/4 =5 3/4 hours

Solve using Elimination

Answers

[tex] \huge \: Answer࿐[/tex]

The values are :

x = 4

y = -2

Complete the table of values for y = x2 - 4x

Answers

Answer:

-1      0      1      2      3      4      5

5      0     -3     -4     -3     0      5

Curve (B) best matches the given graph.

Step-by-step explanation:

When given the following function,

[tex]y=x^2-4x[/tex]

The problem asks one to evaluate the function for the given list of values, substitute in each of the values and solve to find the value of (y),

(-1)

[tex]y=x^2-4x\\y=(-1)^2-4(-1)\\y=1+4\\y=5[/tex]

(1)

[tex]y=x^2-4x\\=(1)^2-4(1)\\=1-4\\=-3[/tex]

(2)

[tex]y=x^2-4x\\=(2)^2-4(2)\\=4-8\\=-4[/tex]

(4)

[tex]y=x^2-4x\\=(4)^2-4(4)\\=16-16\\=0[/tex]

WILL MARK BRAINLIEST

Answers

Answer:

27

Step-by-step explanation:

First you need to find x.

It is shown that DE=EF, so we can use this.

5x-3=3x+7

5x=3x+10

2x=10

x=5

Then, you plug in the value of the variable and solve.

6(5)-3

30-3

27 = DF

i need help please help

Answers

Answer: J x=6; slope is undefined

Step-by-step explanation:

what is the area of the figure below​

Answers

Answer:

Option A

Step-by-step explanation:

Area of the composite figure = Area of ΔABH + Area of BCGH + Area of ΔDEF

Area of ΔABH = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        = [tex]\frac{1}{2}(6)(8-5)[/tex]

                        = 9 in²

Area of the trapezoid = [tex]\frac{1}{2}(CG+BH)(\text{Distance between these lines})[/tex]

                                    = [tex]\frac{1}{2}(6+4)(5)[/tex]

                                    = 25 in²

Area of ΔDEF = [tex]\frac{1}{2}(8)(6)[/tex]

                       = 24 in²

Therefore, area of the given figure = 9 + 25 + 24

                                                          = 58 in²

Option A will be the correct option.

evaluate the expression

6+21 divided by 7

Answers

Answer:

Exact Form:

27

7

Decimal Form:

3.

¯¯¯¯¯¯¯¯¯¯¯¯

857142

Mixed Number Form:

3 6/7

Answer:

9

Step-by-step explanation:

6 + 21 ÷ 7

6 + 3

9


Help plssssssssssssssss

Answers

28 cm²

As the it's a sqaure pyramid, thus the formula we will use will be:

= 2 × b × s + b²

= 2 × 2 × 6 + 2²

= 4 × 6 + 4

= 24 + 4

= 28 cm²

And it's done..!

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