Problem 3 Relentless.com, an online retailer, randomly sampled 250 customers to estimate the time they spend on their website. The results show that the 250 customers spent 20 minutes on average on the website. If the population standard deviation of the time spent on the website is 25 minutes, estimate , the true (population) average time spent on the website, at a 95% confidence level.

Answer:

Step-by-step explanation:

North America:

Climate: North America experiences a variety of climate types due to its large size. These include tundra climate in the far north, temperate climate in the central and eastern regions, arid or semi-arid climates in parts of the southwestern United States and Mexico, and tropical climate in southern Florida and parts of Mexico.

Mountains: North America is home to several major mountain ranges, including the Rocky Mountains in the western United States and Canada, the Appalachian Mountains in the eastern United States, and the Sierra Nevada range in the western United States.

South America:

Climate: South America exhibits diverse climate types. The northern part, near the equator, has tropical rainforest climates, while the central regions have a savanna climate. The western coast of South America, particularly Peru and Chile, experiences a desert climate. The southern regions, such as Argentina and Chile, have a variety of climates including Mediterranean, temperate, and subpolar.

Mountains: The Andes Mountains run along the western coast of South America, spanning several countries and forming the longest mountain range in the world.

Central America:

Climate: Central America has a tropical climate with high humidity and significant rainfall throughout the year. The region experiences wet and dry seasons, with the Caribbean coast receiving more rainfall than the Pacific coast.

Mountains: Central America is characterized by several mountain ranges, including the Sierra Madre range in Mexico and the Cordillera de Talamanca in Costa Rica and Panama.

Caribbean:

Climate: The Caribbean region generally has a tropical climate with high temperatures and humidity year-round. It experiences a wet season from June to November, coinciding with the hurricane season, and a drier season from December to May.

Mountains: The Caribbean islands consist of both volcanic and non-volcanic mountains. Some examples include the Blue Mountains in Jamaica, the Pitons in Saint Lucia, and the Central Range in Trinidad and Tobago.

It's important to note that these regions have variations within their climates and mountains due to geographical features, elevation, and other factors.

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Answer:

-9

Step-by-step explanation:

domain is the x numbers so -9 is the only one that is under x

the answer is

C. neither

Answer:

1700/7

Step-by-step explanation:

The volume of the solid bounded by z = x^2y^2 and z = 4 is 4 cubic units.

To calculate the volume of the solid bounded by the surfaces z = x^2y^2 and z = 4, we need to set up a triple integral over the region enclosed by these surfaces.

Let's determine the limits of integration for each variable. Since z = 4 is the upper bound, we will integrate from z = 0 to z = 4. For x and y, we need to find the limits of the region in the xy-plane where the surfaces intersect.

To find the limits of integration for x and y, we can set the two equations equal to each other:

\(x^2y^2 = 4\)

Taking the square root of both sides:

xy = ±2

Now we can set up the integral:

∭\((x^2y^2 - 4) dV\)

Integrating with respect to z first, we have:

∫[0 to 4] ∫[xy = -2 to xy = 2] ∫[x = -∞ to x = ∞] (\(x^2y^2 - 4\)) dx dy dz

Since the region of integration is symmetric, we can simplify the integral by considering only the positive values of x and y:

∫[0 to 4] ∫[xy = 2 to xy = 2] ∫[x = 0 to x = ∞] (\(x^2y^2 - 4\)) dx dy dz

Now we can evaluate this triple integral. First, let's integrate with respect to x:

∫[0 to 4] [\((1/3)x^3y^2 - 4x\)] [x = 0 to x = ∞] dy dz

Simplifying the limits:

∫[0 to 4] [\((1/3)∞^3y^2 - 4∞ - (1/3)0^3y^2 + 4(0)\)] dy dz

This simplifies to:

∫[0 to 4] (∞ - 0) dy dz

Since the limits of integration for y are independent of z, the integral becomes:

∫[0 to 4] dy dz

Evaluating this integral:

[y] from 0 to 4

4 - 0 = 4

Therefore, the volume of the solid bounded by z = x^2y^2 and z = 4 is 4 cubic units.

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Answer:

103.5 m²

Step-by-step explanation:

To find the area of a right trapezoid, you can decompose it into a rectangle and a triangle. The sum of the area of  the rectangle and the triangle gives the area of the trapezoid.

For the right trapezoid attached below, the area can be gotten by:

Area of rectangle = length × breadth = 9 × 8 = 72 m²

Area of triangle = 1/2(base × height) = 0.5 × 7 × 9 = 31.5 m²

Area of trapezoid = Area of rectangle + Area of triangle = 72 m² + 31.5 m² = 103.5 m²

Answer: I belive the answer would be 18.8

Step-by-step explanation: 75/4=  18.75 rounded to the nearest tenth would be 18.8

Extra people required is 50.

Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Question 1 :

Number of associates = 30

Number of direct workers = 30 - 2 = 28

You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.

Direct rate = 150 units per hour

Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week

                                                            = 37.5 hours per week

Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units

28 people produce 5625 units in a week

Let x people produce 10,000 + 5625 = 15,625 units in a week

Using proportion,

28 : 5625 = x : 15,625

28 / 5625 = x / 15,625

x = (28 × 15,625) / 5625 = 77.78 ≈ 78

Extra people required = 78 - 28 = 50

Question 2 :

Number of sandwiches made in 10 minutes = 1

Number of sandwiches made in 10 hours = 60

5 workers are there. one worker makes 60/5 = 12 sandwiches

But Deli want number of sandwiches in 10 hours = 75

One worker should make 75/5 = 15 sandwiches instead of 12.

Number of sandwiches made in 8 minutes should be 1.

So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.

Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.

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Answer:  0.753.

Step-by-step explanation:

The value of the correlation coefficient is denoted by 'r'. It is used to describe the strength and direction of the relationship between two variables.

Given: The relationship between the number of hours a person practices a task and the time it takes them to complete the task is calculated to have R-sq = 56.7%.

= 0.567

Then, \(r=\sqrt{R^2}\)

\(=\sqrt{0.567}\approx0.753\)

Hence, the value of the correlation coefficient is 0.753.

The greatest possible width the land strip, in miles with the amount of material that has is 1/250 miles wide.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.

Rectangles can also be referred to as parallelograms since their opposite sides are equal and parallel.

A quadrilateral with equal angles and parallel opposing sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and breadth of each rectangle serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.

Let's say that her landing strip is x miles long, then its area would be:

1/6.x

We also know how big it is:

so,

1/6.x = 1/1500

x = 6/1500

x = 3/750

x = 1/250 miles

Therefore, possible width of the landing strip is 1/250 miles.

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Complete question:

Michelle is building a rectangular landing strip for airplanes .She has material to cover 1/1,500 of a square mile. The landing strip must be 1/6 of a mile long. With the amount of material that has , what is the greatest possible width the land strip, in miles?

Answer:

\(\boxed{0} < x < \boxed{4}\)

Step-by-step explanation:

The graph is y = x² - 4x

For  x² - 4x < 0 find out the interval of x
Factor x² - 4x ==> x(x - 4)

x² - 4x < 0 ==> x(x-4) < 0

Find the x-intercepts where x(x - 4) = 0

x(x - 4) = 0 means
x = 0 or x - 4 = 0
x - 4 = 0 ==> x = 4
These are critical points where the function changes sign

From the graph we see that the function has a value of 0 at x = 0 and x = 4 and is negative between 0 and 4

So the range of values for x where x² - 4x < 0 is

\(\boxed{0} < x < \boxed{4}\)

Hope that makes sense. If not, please ask questions

Answer:

See below

Step-by-step explanation:

There were 175 fish in a pond before they started dying at a rate of 25 fish per week....   at the end of seven weeks they were all dead.  There was zero fish at seven weeks.

Y axis is number of fish    x axis is weeks

y intercept = 175 = starting number of fish

x intercept = week7   when fish were all gone .

week      0    1       2      3     4     5    6    7

#fish    175  150   125  100  75  50   25  0

Answer:

Let(-4,6)and (3,-7) be named as A and B

A(-4,6) (x1,y1)

B(3,-7) (x2,y2)

distance between AB= square root(x2-x1)^2+(y2-y1)^2

AB= square root(3-(-4)^2+(-7)-6)^2

AB= square root(3+4)^2+(-13)^2

AB= square root(7)^2+169

AB= square root(49+169)

AB= square root218

AB=14.76 Answer!!!

Answer:

34 adults and 11 children

Step-by-step explanation:

15 times 11 is 165dollars for kids

25 times 34 adults equals 850 dollars

add it and its 1015

Answer:

34 and 11

Step-by-step explanation:

The mean of a observed values approaches the population mean more and more as the number of data points gathered rises.

The average calculated from the group members, distribution, or population is known as the population mean.

Thus, choose a population with a finite mean and a random sample of observations. The mean of a observed values approaches the population mean to a greater extent as the number of data gathered rises.

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Answer:

shifted to the LEFT 3 units

shifted UP 2 units

(also schmashed by a factor of 1/2)

Step-by-step explanation:

Inside the parentheses, in close with the x shifts the curve in the x direction. That is, left or right. Horizontal shifts are the opposite of what your intuition may say to you.

"x + anumber" translates the graph to the LEFT.

The 2 tacked on to the end pushes the graph UP 2 units.

It is not a translation, but the 1/2 in front flattens the curve, making it fatter, and wider.

Performing a mathematical calculation using an operator is called a mathematical operation, which includes basic operations such as addition, subtraction, multiplication, and division.

The table displays information about the old account balance, transaction amount, and new account balance. By solving the table, the missing number can be determined.

Account   Old Acc Balance ($)    Trans Amount ($)     New Acc Balance($)

1                       352                                       -48                      304

2                      432                                      +80                      512

3                       75                                       -100                     -25

4                       40                                        52                       12

5                      -10                                        -20                     -30

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Riemann sums are calculated by dividing the area under a curve into subintervals and approximating the area in each interval using a rectangle.

Riemann sums are a method of approximating the area under a curve by dividing the area into smaller subintervals and approximating the area in each interval using a rectangle. The width of each rectangle is determined by the size of the subinterval, and the height of the rectangle is determined by the value of the function at a specific point within the subinterval.

The sum of the areas of all the rectangles gives an approximation of the total area under the curve. The accuracy of the approximation increases as the width of the subintervals decreases, and as the number of subintervals increases, the approximation approaches the exact value of the area under the curve.

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Answer:

D. f(x) = 1.06x; $169.60

Step-by-step explanation:

x(1.06) = total after tax

160(1.06)= 169.6

The probability that the satellite system operates adequately is 0.7056.

The probability that a component is not functional is 0.4. Therefore, the probability that a component is functional is 1-0.4=0.6.
Using the rule of combinations, there are 6 possible combinations of functional and non-functional components:
1. All 4 components are functional: (0.6)^4=0.1296
2. 3 components are functional: (0.6)^3(0.4)=0.3456
3. 2 components are functional: (0.6)^2(0.4)^2=0.2304
4. 1 component is functional: (0.6)(0.4)^3=0.0256
5. No components are functional: (0.4)^4=0.0256
6. At least 2 components are functional: P(2 or 3 or 4) = 0.1296 + 0.3456 + 0.2304 = 0.7056
Therefore, the probability that the satellite system operates adequately is 0.7056.

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The measure of all the angles is given below :

angle 1 = angle 2 = angle 3 = angle 4 = angle 5 = 60°

Given, ΔWXY is an equilateral triangle and ΔWZY is an isosceles triangle.

We have to find the measure of all the angles,

As, ΔWXY is an equilateral triangle

so, ∠WXY = ∠XYW = ∠YWX = 60°

Now, let ∠WZY = ∠WYZ = x and ∠ZWY = y

so, on applying angle sum property, we get

2x + y =180°

so, y = 60°

and 2x = 120°

x = 60°

Hence, angle 1 = angle 2 = angle 3 = angle 4 = angle 5 = 60°

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An inverse relationship can not direct.

We know that an inverse proportion represents inverse or indirect relation between two quantities.

In inverse relationship, one value increases while the other value decreases, and vice versa.

But in case of direct relationship, if one quantity increases , the other quantity also increases, and  if one quantity decreases , the other quantity also decreases.

When two quantities 'm' and 'n' are inversely proportional to each other, it means when the value of m increases while the value of quantity  'n' decreases, and vice versa.

Also, an inverse relationship always has a negative slope.

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Answer:

The ratio of quarters to dimes is 4:5 .

Step-by-step explanation: when you subtract 40 from 90, you get 50. If you  create a 40:50 ratio, it simplifies to 4:5 .

Answer:

No.

Step-by-step explanation:

They are not because the left side is 52, while the right side is 0.

Answer:

mm,,,,,,,,,,,   m

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x is in a multiplication form

4x=36

meaning a number when multiplied with 4 gives the answer 36

hence in order to find the answer

36 divided by 4 which is equivalent to 9

answer is 9

Answer:  \(x = 9\)

Step-by-step explanation:

We must isolate \(x\) on one side of the equation in order to solve the equation \(4x = 36\) for \(x\).

Step 1: Divide both sides of equation by 4:

\(\frac{4x}{4} = \frac{36}{4}\)

Step 2: Simplify

\(x = 9\)

Therefore, the solution to the equation is \(x = 9\).

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Rearranging an algebraic equation so that \(x\) is on one side and all other terms are on the other side of the equal sign is known as isolating \(x\).

Answer:

You have to multiply the denorminator to both sides in order to make x the subject :

\( \frac{x}{7 + 2y} = 6\)

\(x = 6(7 + 2y)\)

Answer:

Given

x/7 + 2y = 6

Multiply through by 7 to clear the fraction

x + 14y = 42 ( subtract 14y from both sides )

x = 42 - 14y

Step-by-step explanation:

Answer:

a = 151 degrees

Step-by-step explanation:

180 - 29 = 151

Answer:

151

Step-by-step explanation:

180 -29 = 151

Answer:

1.55 hours

Step-by-step explanation:

5.74-4.20=1.55

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Answer: Second Choice. √65

Step-by-step explanation:

Given information

a = 4

b = side (unknown)

c = 9

Given expression

b² = c² - a²

Substitute values into the expression

b² = (9)² - (4)²

SImplify by exponents

b² = 81 - 16

b² = 65

Square root both sides

√(b²) = √65

b = √65

Hope this helps!! :)

Please let me know if you have any questions

Answer:

√65

Step-by-step explanation:

    Since this is a right triangle, we can use Pythagorean Theorem to solve for the missing side.

Pythagorean Theorem: \(a^2+b^2=c^2\)

    In this instance, we are given a leg and the hypotenuse. Substitute the values into the theorem and solve for the missing side.

\(4^2+b^2=9^2\\\\16=b^2=81\\\\b^2=65\\\\b=\sqrt{65}\)

Therefore, the value for the missing side is √65.