An engineer would like to design a parking garage in the most cost-effective manner. He reads that the average height of pickup trucks, which is the largest type of vehicle that should be expected to fit into the parking garage, is 76.4 inches. To double-check this figure, the engineer employs a statistician. The statistician selects a random sample of 100 trucks and finds the mean height of the sample to be 77.1 inches with a standard deviation of 5.2 inches. The statistician will determine if these data provide convincing evidence that the true mean height of all trucks is greater than 76.4 inches. The statistician plans to test the hypotheses, H0: μ = 76.4 versus Ha: μ > 76.4, where μ = the true mean height of all trucks. Are the conditions for inference met?

No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.

Answers

Answer 1

The answer is: Yes, all conditions for inference are met.


Related Questions

please only geniussssssssssssssssss

Answers

Check the picture below.

28 is increased by 150%. what's the final number

Answers

Answer:

70

Step-by-step explanation:

20x(1+150%)

28x(1+1.5)

28x2.5

70

1/(x+1) divided by 4/(x+1)+6/x

Answers

Answer:

4x/(x+1)(x2+x+6)

Step-by-step explanation:

Help please cus I don't know.

Answers

Answer:

114

Step-by-step explanation:

just add all sides together.

Answer:

91 cm

Step-by-step explanation:

Perimeter is adding all of the side lengths:

8+32+10+10+4+4+23=91

Don't forget to add the unit:

91 cm

Solve the system by substitution.
8x +y = 4
-23 – 8= y

Answers

Answer:

(2,-12)

Step-by-step explanation:

Correct equations:

  8x+y=4

 -2x-8=y

------------------

Rearrange the first equation:

8x+y=4

y=4-8x

Now use this value of y in the second equation:

-2x-8=y

-2x-8=4-8x

6x = 12

x = 2

When x = 2:

y=4-8x

y=4-8(2)

y = -12

(2,-12)

--

One can also graph the two equations and find the point they intersect.  See the attached graph.

1/2x12divided by 2-2 +11= what?

Answers

Answer:

The answer is 12

Step-by-step explanation:

1/2x 12 = 6

6/2-2+11 = 12

The final answer is 12

The big answer is 12

help this is due tom

Answers

Answer:

9. (a) 1/4

   (b) remove 3 alphabet cards

   (c)  add 4 number cards

10.  1/8

Step-by-step explanation:

Question 9

Given:

8 number cards10 alphabet cards6 picture cards

⇒ total number of cards = 8 + 10 + 6 = 24 cards

[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]

(a) P(picture card) = 6/24 = 1/4

(b) P(alphabet card) = 10/24 = 5/12

If we remove 3 alphabet cards from the box

⇒ number of alphabet cards = 10 - 3 = 7

⇒ total number of cards = 24 - 3 = 21

Therefore, P(alphabet card) = 7/21 = 1/3

(c)  P(number card) = 8/24 = 1/3

If we add 4 number cards to the box:

⇒ number of number cards = 8 + 4 = 12

⇒ total number of cards = 24 + 4 = 28

Therefore, P(number card) = 12/28 = 3/7

--------------------------------------------------------------------

Question 10

Given:

ΔSDR = ΔPRQLeg length of ΔSDR and ΔPRQ = 4 cm

⇒ area of ΔSDR = area of ΔPRQ = 1/2 × 4 × 4 = 8 cm²

As PR = SD = 4cm

Area of rectangle = (4 + 4) × (12 + 4) = 128 cm²

P(point lies in ΔSDR) = 8/128 = 1/16

P(point lies in ΔPRQ) = 8/128 = 1/16

P(point lies in ΔSDR) OR P(point lies in ΔPRQ) = 1/16 + 1/16 = 2/16 = 1/8

I think of a number multiply it by 2, subtract 3 and multiply by 4

Answers

Step-by-step explanation:

(2x - 3)×4

random number multiplied by 2, then minus 3 from that result, and multiply that result by 4.

What is the image point of (5,-6)(5,−6) after the transformation r_{\text{y-axis}}\circ T_{-4,0}r
y-axis

∘T
−4,0

?

Answers

The image point of P(x,y) = (5, -6) after applying a horizontal reflection is P'(x,y) = (1, -6).

How to apply a rigid transformation in a point on a Cartesian plane

In geometry, a rigid transformation is a transformation applied onto a geometric object such that Euclidean distance in every point of it is conserved. Translations are examples of rigid transformations and are defined by this formula:

P'(x,y) = P(x,y) + T(x,y)   (1)

Where:

P(x,y) - Original pointT(x,y) - Translation vectorP'(x,y) - Image point

If we know that P(x,y) = (5, -6) and T(x,y) = (-4, 0), then the image point is:

P'(x,y) = (5, -6) + (-4, 0)

P'(x,y) = (1, -6)

The image point of P(x,y) = (5, -6) after applying a horizontal reflection is P'(x,y) = (1, -6). [tex]\blacksquare[/tex]

Remark

Statement is incorrect and poorly formatted. Correct form is shown below:

What is the image point of (x, y) = (5, -6) after the transformation of translating horizontally the point -4 units to the y-axis?

To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538

Sam is renting one of two cars to go on a 300-mile trip. The first car can travel 75 miles on 5 gallons of gas. The second car can travel 240 miles on 20 gallons of gas. Each car costs the same to rent, and Sam wants to rent the car with the better gas mileage. Sam estimates that he will pay $49.49 for every 14 gallons of gas he has to buy. Which car should Same rent, and how much money should Sam bring for gas? Explain your reasoning

Answers

First let’s establish a few things, The first car can travel 300 miles with 20 gallons of gas, if 14 gallons of gas costs 49.49 then for ever gallon of gas Sam is paying 3 dollars and 53.5 cents. That means for 20 gallons, Sam will need around 71$ for the entire trip if he uses the first car.

Identify the domain and range of the relation.
x −5 −2 1 5
y 10 11 4 10 what is the function

Answers

Answer:

Domain: -5, -2, 1, 5

Range: 10, 11, 4, 10

To get the function, you need to create an equation.

Step-by-step explanation:

For example, f(x)= 10x. "x" equals your y value, and "10" is where you plug in your range, or in other words, your y-values.

I need this ASAP PLS
(will give brainliest)!

Answers

Answer:

The answer is A since it does the same movements twice. Think of it like flipping a coin, then actually taking the coin and flipping it back over regardless of what it lands on.

Step-by-step explanation:

Hope this helps have a good rest of your day

Which expression is equivalent to the expression -3(4x - 2) - 2x

A) -8x
B) -16x
C) -14x - 2
D) -14x + 6

Answers

Answer:

-14x + 6 (option D)

Step-by-step explanation:

To solve the given equation, you first need to distribute the negative 3.

So, you need to multiply

(4x)(-3)  ;  (-2)(-3)

(4x)(-3)= -12x

(-2)(-3)= 6

So, your new, distributed, equation would be:

-12x + 6 - 2x

If we combine like terms (-12x - 2x), our new equation will be:

-14x + 6

Khalil has a game board as shown below, which is a square with 20 cm sides. The area of the largest circle is 314
square centimeters
What is the probability of scoring 1, 3, or 5 points with one randomly thrown dart?
O 50%
O 62.5%
O75%
O78.5%

Answers

Answer:

78.5

Step-by-step explanation:

The probability of scoring 1 , 3 or 5 points is 78.5% ( optionD)

What is probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 and it's 100% in percentage.

probability is expressed as;

probably = sample space/total outcome

The area of the square is expressed as;

A = l²

= 20 × 20

= 400cm²

The area of the biggest circle is 314 cm²

The probability of scoring 1, 3 or 5

= 314/400 = 0.785

in percentage = 0.785 × 100

= 78.5%

learn more about probability from

https://brainly.com/question/13604758

#SPJ3

Which fraction represents the slope formula for the line containing (4, 9) and (0, 5)? A. B. C. D.

Answers

The fraction that represnts the slope formula for the line that contains the points, (4, 9) and (0, 5) is given as: Slope = (-4)/(-4) = 1

What is the Formula for the Slope of a Line?

Slope of a line = change in y/change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Given the following points:

(4, 9) and (0, 5)

Slope of the line would be:

Slope = (5 - 9)/(0 - 4)

Slope = (-4)/(-4)

Slope = 1

Therefore, the fraction that represnts the slope formula for the line that contains the points, (4, 9) and (0, 5) is given as: Slope = (-4)/(-4) = 1

Learn more about slope formula on:

https://brainly.com/question/15291483

How is the graph of the parent function, y = StartRoot x EndRoot transformed to produce the graph of y = StartRoot negative 2 x EndRoot? It is translated horizontally by 2 units and reflected over the x-axis. It is translated horizontally by 2 units and reflected over the y-axis. It is horizontally compressed by a factor of 2 and reflected over the x-axis. It is horizontally compressed by a factor of 2 and reflected over the y-axis.

Answers

Answer:

The answer is D

Step-by-step explanation:

The parent function will be reflected over the x-axis, compressed by a factor of 0.4, and translated into 2 units right.

It is given that the two functions one is the parent function [tex]\rm y = \sqrt[3]{-x}[/tex] and the transformed function [tex]\rm y = -0.4 \sqrt[3]{-x-2}[/tex].

It is required to find the transformation rules.

What is a function?

It is defined as a special type of relationship and they have a predefined domain and range according to the function.

We have parent function:

[tex]\rm y = \sqrt[3]{-x}[/tex]

and transformed function:

[tex]\rm y = -0.4 \sqrt[3]{-x-2}[/tex]

If we multiply the parent function with a negative value it will f(x) over the x axis.

By the transformation rules of the function y = -f(x) reflects f(x) over x-axis.

After applying the transformation to the parent function:

[tex]\rm y = -\sqrt[3]{-x}[/tex]

By the transformation rules of the function if multiply the function with less than the unit value it will be compressed by the multiplied factor ie.

y = k f(x) and k<1, the function will be compressed by the k factor hence:

[tex]\rm y = -0.4\sqrt[3]{-x}[/tex]  (after applying the second transformation)

As we can see the transformed function is subtracted by -2

By rules of transformation, for y=f(x-A) it would be a horizontal translation of 'A' unit to the right.

After applying this transformation we get:

[tex]\rm y = -0.4 \sqrt[3]{-x-2}[/tex]  which is a transformed function derived after applying the transformation to the parent function.

Thus, the parent function will be reflected over the x-axis, compressed by a factor of 0.4, and translated into 2 units right.

Learn more about the function here:

brainly.com/question/5245372

The difference of x and 7 is at most -28. Translate the sentence into an inequality

Answers

Answer:

x - 7 [tex]\leq[/tex] -28

Step-by-step explanation:

I guarantee you that this is correct. It's pretty simple to understand.

Please mark Brainliest. :)

Which of the following graphs has a zero at (-5)?

Answers

Graph B would be the correct answer

1. A wooden box is to be built so that it measures 156 cm by 122 cm by 95 cm.
How much plywood will it take to build the garbage bin?

Answers

The amount of plywood needed to build the garbage bin is the surface area. Therefore, the amount of plywood needed is 90884 cm².

How to find the surface area of a rectangular prism

The wooden box is a rectangular prism. The amount of plywood used to construct the wooden box is the surface area of the box.

Therefore,

surface area of rectangular prism = 2(lw + lh + hw)

where

l = lengthw = widthh = height

l = 156 cm

w = 122 cm

h = 95 cm

surface area of rectangular prism = 2((156 × 122) + (156 × 95) + (122 × 95))

surface area of rectangular prism = 2(19032 + 14820 + 11590)

surface area of rectangular prism = 2(45442)

surface area of rectangular prism = 90884 cm²

learn more on surface area here:https://brainly.com/question/27161212

PLS HELP

Lacey has a roll of wrapping paper with 2 3/4 yards remaining. She has six boxes to wrap, each of which requires 3/8 of a yard of paper. Will Lacey have enough wrapping paper left to also wrap a book that requires 1/2 yard of paper? Support your answer by showing your work.

Answers

Answer: Yes

Step-by-step explanation:

Step #1: Lacey has 2 3/4 yards of wrapping paper remaining. She has six boxes to wrap, each of which requires 3/8 of a yard of paper. First, you must find the total number of yards of wrapping paper needed for six boxes.

Number of boxes * Number of wrapping paper required for each box

6 x 3/8 = 9/4

Step #2: Subtract the number of yards of wrapping paper remaining by the total number of wrapping for 6 boxes.

2 3/4 - 9/4 = 1/2

Step #3: Determine and solve whether Lacey will have enough wrapping paper left to also wrap a book that requires 1/2 yard of paper. To solve, subtract the remaining amount of wrapping paper by the amount of wrapping required for a book.

1/2 - 1/2 = 0

So, yes Lacey will have just enough wrapping paper to also wrap a book that requires 1/2 yard of paper.

this morning carlos enters the room late. the distance from the road from their house to the school is 100 meters but he could travel it for 50 seconds what is his speed

Answers

Answer:

2 m/s or 7.2 km/h

Step-by-step explanation:

Time = 50 seconds

Distance = 100 meters

Velocity = distance/time = 100/50 = 2 m/s or 7.2 km/h

[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]

[tex] \large \purple{ \rm{Given↦}}[/tex]

Distance by road from their house to the school is 100 m.Time Given 50 sec

[tex]\rule{70mm}{2.2pt}[/tex]

[tex] \large \purple{ \rm{To \: find↦}}[/tex]

Carlos speed

[tex]\rule{70mm}{2.2pt}[/tex]

[tex] \large \purple { \rm{Assumption↦}}[/tex]

let the speed be x

[tex]\rule{70mm}{2.2pt}[/tex]

[tex] \large \purple { \rm{ To \: find \: speed \: we \: use↦}}[/tex]

[tex] {\boxed{ \rm{Speed= \frac{ Distance } {Time}}}}[/tex]

[tex]\rule{70mm}{2.2pt}[/tex]

[tex] \large \purple{ \rm{Substitute \: value \: according \: to \: formula. \: }}[/tex]

[tex] \large \rm{s = \frac{100}{50} }~~~~~~~~~~~~~~~~~~~~ \\ \\ \large \rm{s = \cancel \frac{100}{50} }~~~~~~~~~~~~~~~~~~~~ \\ \\ \large \rm{s = 2 m/s \: or \: 7.2km/h }[/tex]

[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

PLEASE HELP!!!!!!!!
How do I write these in Slope y-intercept form example: y=1/2x-5

7) 2x - y = 3
8) 2x+4y = 8
9) 3x-5y=10
10) 3x-1/2y=2

Answers

Answer:

The answers would be:
7) y=-0.5x+2
8) y=-0.5x+2
9) y=0.6x-2
10) y=6x-4

Step-by-step explanation:


please help me bro please

Answers

F(5) is 3, because the graph hits 3 when the x is 5.

If two men walk in opposite directions for 8 meters then turn left and walk six meters how far apart are they

Answers

Answer:

20 meters

Step-by-step explanation:

(PLS HELP QUICK POINTS)

A soda can holds 235.5 in^3 of liquid. If the cab is 5 inches tall, what is the distance across the top of the soda can.

Answers

Answer:

Step-by-step explanation:

To make a guess as to the volume, it may be easier to guess in cups rather than centimeters or inches. One may visualize that a 12 ounce soda can is about 1.5 cups. This is equivalent to 354.88 cubic centimeters or 21.656 cubic inches.

I’m very stuck and someone give the answer

Answers

Answer:

since there are 30 students as a whole and 20 boys make up part of the class, you can assume that there are 10 girls in the class. since the mean mark for boys is 62 I think the mean mark for girls would be 8%

Step-by-step explanation:

Ginger and Caleb each have 0.77 of a dollar. Ginger does not have any quarters. Caleb does not have any dimes. Explain how many of each type of coin each of them might have.

Answers

Ginger can have 7 dimes and 7 pennies while Caleb can have 3 quarters and 2 pennies.

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

Ginger and Caleb each have $0.75

Ginger does not have any quarters. He might have 7 dimes and 7 pennies.

Caleb does not have any dimes. He can have 3 quarters and 2 pennies.

Ginger can have 7 dimes and 7 pennies while Caleb can have 3 quarters and 2 pennies.

Find out more on equation at: https://brainly.com/question/2972832

21. 2n= 53

Explanation of the division please, and how you got the answer

Answers

Answer:

2n= 53

and you divide both sides by 2

2n/2 =53/2

2 divided by 2 is 1 and 53 divided 2 is 26.5

n= 26.5

a store is having a clearance special and every item is 20% off what is the sale price of a 230 suit

Answers

Answer:

184

Step-by-step explanation:

80% of 230

0.8x230

8×23

=184

21b-32+7b-20b=?
Tell fast pls

Answers

21b-32+7b-20b=

21b + 7b - 20b - 32

       8b            - 32

Hello!

21b-32+7b-20b=

21b +7b -20b -32

= 28b -20b - 32

= 8b -32

Other Questions
The data set below represents the different costs of a tablet at an electronic store. $298. $196, $248, $379, $319, $276, $198, $349, $319. What is the median? 1) d= 7.4 mmCalculate the area of the circle.2) r=2.2 yd.Calculate the circumference of the circle.3) d = 5 cmCalculate the circumference of the circle.4) d = 6 mCalculate the circumference of the circle.5) r = 2.1 mCalculate the area of the circle.6) r=1.3 mmCalculate the circumference of the circle. Which shapes have two pairs of parallel sides Krysta's soccer practice started at 7:45 A.M. on Saturday morning. The team practiced dribbling for 15 minutes and practiced shooting for 45 minutes. Then they played a scrimmage game for 30 minutes before practice ended. What time was it when Krysta's soccer practice ended? please help asap tysm n ily medical blank must be shown by having specific What is the product of (7 x 10^-5) x (5 x 10^-8) (7 x 10^-5) x (5 x 10^-8) = ? x 10^? Could someone correct my grammar?1. Cual es el cdigo de vestimenta?-El cdigo de vestimenta es informal. Los empleados se permiten usan ropa cmoda. Pero, cuando se arreglando los bienes de consumo, es importante vestirse apropiadamente para la trabajo. Las camisas y pantalones largos son recomendado. Todas los trabajadores son necesario vestir que usar gafas de proteccin y guantes cuando trabando con frutas. Las zapatillas deportivas de todo tipo es tambin necesario vestir. What is the value of sO-10 0O 1O no solution Given a+b=7 and a-b=3, find the following3^a3^b Need assistance on this problem discuss the notion of urbanization as adouble edged sword Probability and statistics for engineers and scientists 9th 60 points! please help me! i will appreciate it Select the correct answer from each drop-down menu. which form of government did the united states encourage after world war ii? after world war ii, the united states encouraged other nations to adopt governments. it opposed the totalitarian system of the . How many different ways can 6 different positions be filled by 12 applicants? Suppose if, instead of depositing the $600 all at once, you deposit nothing at the beginning and you divide up the $600 into 12 envelopes each with $50. Find the balance after one year if you deposit one $50 envelope each month, all year, into an account that pays 5% APR with monthly compounding. Briefly describe Portal video calling device and how it works. Do you think using Portal puts a user's privacy at risk? Why or why not? What is Al's hypothesis?options:If I freeze fresh water and salt water then the salt water will freeze more quickly because salt increases the freezing point temperature.If I freeze fresh water and salt water then the fresh water will freeze more quickly because salt lowers the freezing point temperatureIf I freeze fresh water and salt water then both will freeze at the same time because salt doesn't affect the freezing time.If I freeze cool aid and water then the water will freeze more quickly because cool aid increases the freezing point temperature. If the circumference of a circle is 15 pie inches, then what is its diameter Please help me with this please and thank you