A company that manufactures golf balls produces a new type of ball that is supposed to travel significantly farther than the company’s previous golf ball. To determine this, 40 new-style golf balls and 40 original-style golf balls are randomly selected from the company’s production line on a specific day. A golf pro takes the balls to the driving range and hits the 40 new-style golf balls first and then the 40 original-style golf balls. The distance each ball travels is recorded. At the end of the session, the mean distance traveled for the new type of golf ball was found to be significantly greater than the mean distance for the original-style golf ball.

Which of the following is a valid conclusion?

Inferences can be made about all the golf balls produced on that day, and the conclusion can be made that new-style golf balls travel farther than the original-style of golf ball for this golf pro.
Inferences can be made about all the golf balls produced on that day; however, a conclusion cannot be made that new-style golf balls travel farther than the original type of golf ball for this golf pro.
Inferences cannot be made about all the golf balls produced on that day, and a conclusion cannot be made that new-style golf balls travel farther than the original type of golf ball for this golf pro.
Inferences cannot be made about all the golf balls produced on that day; however, the conclusion can be made that new-style golf balls travel farther than the original type of golf ball for this golf pro.



answer is B got it right

Answer:

1 hour

Step-by-step explanation:

Answer: 1hour

Step-by-step explanation: lol

Answer:

the last one is obviously represent a linear of function

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.

[tex](\stackrel{x_1}{50}~,~\stackrel{y_1}{45})\qquad (\stackrel{x_2}{70}~,~\stackrel{y_2}{61}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{61}-\stackrel{y1}{45}}}{\underset{run} {\underset{x_2}{70}-\underset{x_1}{50}}} \implies \cfrac{ 16 }{ 20 } \implies {\Large \begin{array}{llll} \cfrac{4 }{ 5 } \end{array}}[/tex]

Ages (in years) of a sample of retirement home inhabitants is option B. For the lowest wait time, the maximum frequency is anticipated to be right-skewed. A desert cannot have a maximum annual temperature of 60°F, and it is not conceivable to watch 60+ hours of TV in a single day.

Residents of senior living facilities are typically 84 years old. While there are many couples in these communities, the majority of people who live in independent living are women. Some people move in at or near the minimum age (often around 65), but most people do so between the ages of 75 and 84. Residents come from all different backgrounds.

Many people are choosing senior living in a community environment, including teachers, nurses, small business owners, big business CEOs, university professors, housewives, lawyers, engineers, musicians, and more. Current residents will attest that the rich diversity of origins fosters amazing interactions and relationships. And contrary to popular belief, the majority of residents of independent living are quite active.

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Correct Question:

Match the plot with a possible description of the sample.

60 70 80 90 100

Choose the correct answer below

A. Wait time (in minutes) for a sample of doctors offices

B. Ages (in years) of a sample of residents of a retirement home.

C. Highest yearly temperatures (F) for a sample of deserts.

D. Time (in hours_ spent watching TV in a day for a sample of teenagers.

The value of the iterated integral is equal to 24. In general, when evaluating iterated integrals, it is important to remember to integrate with respect to the outer variable first, and then with respect to the inner variable. This will ensure that the resulting value of the integral is correct.

To evaluate this iterated integral, we need to integrate with respect to the outer variable first, and then with respect to the inner variable. In this case, the outer variable is x and the inner variable is y.

We can write the iterated integral as:

∫₀² ∫₂³ xy² dx dy

To find the value of this integral, we first need to evaluate the inner integral with respect to x. We can do this by taking the integral of xy² with respect to x from 0 to 2, which gives us:

∫₀² xy² dx = [x³y² / 3]₀² = (2³ * 3²) / 3 = 24/3

Now that we have found the value of the inner integral, we can evaluate the outer integral with respect to y. We can do this by taking the integral of 24/3 with respect to y from 2 to 3, which gives us:

∫₂³ (24/3) dy = [24y / 3]₂³ = (24 * 3) / 3 = 24

Therefore, the value of the iterated integral is equal to 24.

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The residual for each of the coordinate pairs, (x, y) are-

a) -3.1; b) -0.2; c)  0.32; d) 0; e) -0.1; f) -6.96.

For the stated question;

Data is given by the line of best fit as;

y = 1.1x + 3.4

Then, the residual for the given coordinates are found as;

Residual = y - (1.1x + 3.4)

a. (5,8.8)

Residual = 5.8 - (1.1(5) + 3.4)

Residual = -3.1

b. (2.5,5.95)

Residual = 5.95 - (1.1(2.5) + 3.4)

Residual = -0.2

c. ((0,3.72)

Residual = 3.72 - (1.1(0) + 3.4)

Residual = 0.32

d. (1.5,5.05)

Residual = 5.05 - (1.1(1.5) + 3.4)

Residual = 0

e. (-3,0)

Residual = 0 - (1.1(-3) + 3.4)

Residual = -0.1

f. (-5,-4.86)

Residual = -4.86 - (1.1(-5) + 3.4)

Residual =  -6.96

Thus, the residual for each of the coordinate pairs, (x, y) are found.

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The amount of commission the agent receives if the bonus amount is Rs. 1,500, is Rs. 24,000.

To find the commission received by the agent, we first determine the excess sales using the bonus rate and bonus amount.

The excess sales are added to Rs. 900,000 to determine the total sales for the year.

The commission rate is applied to the total sales to ascertain the amount of the commission the agent received.

Commission on the total annual sales = 2%

Bonus on the excess of sales over Rs. 900,000 = 0.5%

Bonus amount = Rs. 1,500

Excess sales over Rs. 900,000 = Rs. 300,000 (Rs. 1,500/0.5%)

Total sales = Rs. 1,200,000 (Rs. 900,000 + Rs. 300,000)

Commission amount = Rs. 24,000 (Rs 1,200,000 x 2%)

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The correct option D. $98,636.72; is the amount in Merle's account after six years.

The formula for the compound interest is-

A = P * (1 + r/nt)^nt

In which,

From the beginning to end of the third year:

A = P(1 + 0.05 )^6

A = 40,000 × 1.05^6

A = $53,603.83

Now, add $20,000 to the amount obtained.

A = $53,603.83 + $20,000

A = $73,603.83

Thus, at the end of sixth year:

A = 73,603.83 x 1.05^6

A = $98,636.16

Therefore, the balance in Merle's account after six years is  $98,636.16.

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Answer: 2x + 2

Step-by-step explanation:

The composition of two functions f and g, denoted g(f(x)), is a new function that is obtained by substituting the function f(x) into the function g(x) in place of x.

In this case, f(x) = x + 1 and g(x) = 2x. Substituting f(x) into g(x) in place of x gives us g(f(x)) = 2(x + 1) = 2x + 2.

Therefore, the final expression for g(f(x)) is 2x + 2. The coefficient of x is 2, and the constant term is 2.

The length of the ladder is approximately 3 m. The correct option is the first option 3

From the question, we are to calculate the length of the ladder.

From the given information,

The ladder makes an angle 20° with the ground

and

The foot of the ladder is 3 m from the wall

This scenario gives a right triangle where the hypotenuse is the ladder and the adjacent is the distance of the foot of the ladder from the wall.

Let the length of the ladder be x

Thus,

Using SOH CAH TOA

We can write that

cos 20° = 3 / x

x = 3/(cos 20°)

x = 3.19

x ≈ 3 m
Hence, the length is approximately 3 m

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You would start at points (0, 40) and then move to (1, 32), (2, 24), (3, 16), (4, 8), and (5, 0) because he gives out 8 bags per hour.

What is a line graph?

An informational shift over time is graphically represented by a line graph. It is a graph that was created by connecting points with line segments.

Michael starts with 40 bags of cucumbers and gives out 8 bags per hour until there are none left.

Michael starts giving them away until he has no bags left.

To create the graph we need coordinate points to locate on the graph.

So initially he has 40 bags and gives away 8 bags for every 1 hour.

The number of bags will be represented on the y-axis, and the number of hours will be represented on the x-axis.

The coordinates are:

x-axis           y-axis

  0                 40

  1                  32

  2                 24

  3                  16

  4                   8

  5                   0

Hence, you would start at points (0, 40) and then move to (1, 32), (2, 24), (3, 16), (4, 8), and (5, 0) because he gives out 8 bags per hour.

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Answer:

x = 40°

y = 35°

Step-by-step explanation:

Let us take two triangles ∆ABC and ∆ADE

We know that, in a triangle the sum of all angles is equal to 180°

So,

For the traingle ABC

Now,

m∠A + m∠B + m∠C = 180°

80° + 60° + x° = 180°

140° + x° = 180°

x° + 140° - 140° = 180° - 140°

x = 40°

For the triangle ADE

Now,

m∠A + m∠D + m∠E = 180°

80° + 65° + y° = 180°

145° + y° = 180°

y° + 145° - 145° = 180° - 145°

y = 35°

Thus, The value of x and y is 40° and 35° respectively

13+16 are the numbers that equals to 19.

The equal sign in the  mathematics describes by  equality between the values,. Of the  equations, or expressions are the  written on both sides. There symbol for equal to is two be the  small horizontal lines placed to parallelly. We place the to the  'equal to' sign is between two things that are to the same or equal.

As we know,

If two things are equal or if one thing is equal to the  another, they are the same or  in the size, number, standard, or values .

As per the question we have to find equal number of 19.

So 13+6 are the equal number that equals to 19.

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In  linear equation, 5  batches of slime can Mr. Lincoln make.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                 Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Based on the given conditions, formulate = 3 ÷ 2/3

                                             = 3 * 3/2

                                          = 3 * 3/2

                                            = 9/2

the smallest integer greater than or equal to = 9/2 : 5

                                                                         = 5

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The solution to the equality of the functions f(x) and g(x) are;

At x = 0 and x = 1

We are given the functions as;

f(x) = 3ˣ and g(x) = 2x + 1

Now, we want to find the point at which the functions f(x) and g(x) are equal. This is;

f(x) = g(x)

Thus, from the graph, we can see that;

When x = 0, f(x) = 1 and g(x) = 1

Similarly, when x = 1, f(x) = 3 and g(x) = 3

Thus, these are the points where f(x) is equal to g(x)

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The first derivative of the implicit functions are listed below:

In this problem we have an implicit function of the form f(x, y) = 0, whose first derivative shall be found by implicit differentiation. Now we proceed to present the procedure. First, write the entire expression:

2 · x² + 8 · x · y + 6 · y² + 13 · y - 2 = 0

Second, use the derivative rules:

4 · x + 8 · y + 8 · x · y' + 12 · y · y' + 13 · y' = 0

4 · x + 8 · y + (8 · x + 12 · y + 13) · y' = 0

y' = - 4 · (x + 2 · y) / (8 · x + 12 · y + 13)

The same procedure is used in the next two implicit functions:

3 · x³ = 2 · y² - 9 · y

9 · x² = 4 · y · y' - 9 · y'

9 · x² = (4 · y - 9) · y'

y' = 9 · x² / (4 · y - 9)

3 · y² = 5 · x - (2 / 5) · x + 2

6 · y · y' = 5 - 2 / 5

6 · y · y' = 23 / 5

y' = 23 / (30 · y)

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Step-by-step explanation:

you devide the upper half of a fraction with the part under it. for example

6x2+x+1

_______=6. that is asymptote

x2+2

when you multiply 6 and lower half of a fraction you get 6x2+12

if you substract that from 6x2+x+1 you get x-11

if you make x-11=0 the number that x represents is the point where the function crosses the asymptote

The required straight equation will be y = -0.5x + 27.5 passes through the points  (-5, 0) and (5, 2).

What are equations in a straight line?

A straight line's equation is given by y=mx+c, where c is the height at which the line intersects the y-axis (often referred to as the y-intercept) and m is the gradient.

According to the given graph,

We can see two points are (-5, 0) and (5, 2)

The linear equation will be: y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Here

x₁ = -5, y₁ = 0

x₂ = 5, y₂ = 2

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₂]

Substitute values in the equation, we get

⇒ y - 0 = (2 - 0)/(8-4)(x-(-5))

⇒ y - 30 = (2)/(-4)(x + 5)

⇒ y - 30 = -1/2(x + 5)

⇒ y = (-1/2)x - 5/2 + 30

⇒ y = -0.5x + 27.5

Thus, the required equation will be y = -0.5x + 27.5 passes through the points  (-5, 0) and (5, 2).

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Write an equation for the graph shown in the form y=ax+b.

Possible distinction between  the center of the sphere and  surface of the sphere is

The sphere is one of the most significant mathematical figures. Spheres and nearly-spherical objects can be seen in both nature and industry.

Soap bubbles and other bubbles have a spherical shape when they are in an equilibrium state. The celestial sphere is a fundamental concept in astronomy, and the Earth is usually represented as spherical in geography.

The majority of pressure vessels, curved mirrors and lenses, and other manufactured items are based on spheres. Because spheres roll effortlessly in all directions, the majority of balls used in sports and toys are spherical, just like ball bearings.

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The leader of the campfire girls troop can appoint 3 out of 14 members to clean up the camp in 364 ways.

The number of members in the campfire girls troop

= 14

The number of members the leader of the campfire girls troop can appoint at a time = 3

The number of ways to appoint r members out of n members

= nCr = n!/(r)!×(n-r)!

Therefore, the number of ways in which the leader of the campfire girls troop can appoint 3 out of 14 members to clean up the camp

= 14C3 = 14!/(3)!×(14-3)! = 364 ways

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The amount of red paint used is 3/4 gallons

The amount of blue paint used is 1 1/2 gallons.

The amount of red paint used is 3/8 gallons

The amount of blue paint used is 3/4 gallons

The amount of white paint used is 3 /8 gallons

In order to determine the quantity of each type of paint needed, multiply the fraction of each type of paint used by the total gallons of purple paint.

Amount of red paint used = 1/4 x 3 = 3/4 gallons

Amount of blue paint used = 1/2 x 3 = 3/2 = 1 1/2 gallons

The quantity of each type of paint used to make the lighter purple shade:

Amount of red paint used = 1/4 x 1 1/2

1/4 x 3/2 = 3/8 gallons

Amount of blue paint used = 1/2 x 3/2 = 3/4 gallons

Amount of white paint used = 1/4 x 1 1/2

1/4 x 3/2 = 3 /8 gallons

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The probability that a person selected at random will live on campus OR have a low intention of attending the Fair is 0.584.

The data of Intention of Attending the Fall Career Fair is given below:

                           High                Medium                 Low               TOTAL

On Campus         99                       102                     22                   223

Off Campus         78                        80                      43                   201

>20 mi. Away      18                         32                      26                    76

TOTAL                 195                      214                     91                     500

We have to find the probability that a person selected at random will live on campus OR have a low intention of attending the Fair.

Probability that a person selected at random will live on campus OR have a low intention of attending the Fair = P(on campus) + P(low) - P(on campus and low)

Probability that a person selected at random will live on campus OR have a low intention of attending the Fair = 223/500 + 91/500 - 22/500

Probability that a person selected at random will live on campus OR have a low intention of attending the Fair = 292/500

Probability that a person selected at random will live on campus OR have a low intention of attending the Fair = 0.584

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The right question is:

The data shown below is for a sample of LSU students to evaluate their intention of attending the Fall 2023 Career Fair based on where they live.

                         Intention of Attending the Fall Career Fair

                           High                Medium                 Low               TOTAL

On Campus         99                       102                     22                   223

Off Campus         78                        80                      43                   201

>20 mi. Away      18                         32                      26                    76

TOTAL                 195                      214                     91                     500

What is the probability that a person selected at random will live on campus OR have a low intention of attending the Fair?

In order to evaluate the expression, we must first understand the order of operations. The ^ symbol indicates an exponential, which takes precedence over division. the expression.343 ^ { 4 / 3 } is 7,625

In order to evaluate the expression, we must first understand the order of operations. The ^ symbol indicates an exponential, which takes precedence over division. Therefore, we will first calculate 343^4 and then divide the result by 3. 343^4 = 7,741,675. 7,741,675 divided by 3 is equal to 2,580,558.33. When rounded to the nearest whole number, the answer is 7,625.The expression 343^ {4/3} can be broken down into 343 to the power of 4 divided by 3. Before we evaluate the expression, we must understand the order of operations. The ^ symbol indicates an exponential, which takes precedence over division. Therefore, we will first calculate 343^4 and then divide the result by 3. 343^4 can be calculated using the formula 343 x 343 x 343 x 343. This results in 7,741,675. 7,741,675 divided by 3 is equal to 2,580,558.33. When rounded to the nearest whole number, the answer is 7,625.

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Answer:

P(A) =0.5 obviously since it didn't say like P(AC) or P(AD)

The formula for an exponential function is y = 45/8x + 57/8.

Here we have to find the formula for an exponential function that passes through the points.

Given data:

The two points are (-1, 3/2) and (3, 24).

We need to find the slope of the line. So,

Slope(m) = (y2 - y1) / (x2 - x1)

m = (24 - 3/2) / ( 3+ 1)

   = 45/ 8

The general equation of a line:

y = mx + c

Now putting the value of x and y as -1 and 3/2 and m = 45/8.

3/2 = -1 × 45/8 + c

c = 57/8

Now we get the equation:

y = 45/8x + 57/8

Therefore the equation is y = 45/8x + 57/8.

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Time ∝ 1/Speed

Time = k/Speed

k = Time x Speed

The time taken for the trip for the car moving at 30 mph is 12 hours.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 7 is an equation.

We have,

Time ∝ 1/Speed

This can be written as,

Time = k/Speed

k = Time x Speed

Now,

The trip takes 8 hours for a car moving at 45 mph.

This means,

k = 8 x 45

k = 360

Now,

The time taken at the speed of 30 mph.

Time = k / Speed

Time = 360/30

Time = 12 hours

Thus,

The time taken for the trip for the car moving at 30 mph is 12 hours.

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Answer:

[tex]120^{\circ}[/tex]

Step-by-step explanation:

Using the exterior angle theorem, [tex]x=50^{\circ}+70^{\circ}=120^{\circ}[/tex].

Answer:

Step-by-step explanation:

we know the inside total angles for triangle is 180 degrees.

We are given the two internal angles as 70 and 50 degrees.

So the equation can be written as

70+50+y = 180

y= 60

Also, we know that straight line is 180 degrees.  Now we can write the second equation as follow:

60+x = 180

x = 120 degrees

Data that are left-skewed would include values that are unusually high.

A data is symmetric when it has a mirror image on both sides of the mean. For a symmetric data the mean = mode = median.

If the data is asymmetric, it can either be left-skewed or right-skewed. A left-skewed data has mots of its values greater than the mean. In this case the mean < median < mode. Left-skewed data mostly contains very less amount of values with smaller magnitudes.

Hence, data that are left-skewed would include values that are unusually high.

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The null hypothesis is R = 0

In this question we have been given a hypothesis that the fraction of people with severe depression is higher in country a than in country b.

We need to test the hypothesis.

Suppose that we have chosen the statistic of interest to be PAPB.

Let the ratio R be the fraction of depressed people in country a divided by fraction in country b

We need to find the null hypothesis.

We know that the null hypothesis as statement says that  there is no relationship between two measured variables/phenommena.

In this case, for null hypothesis the ratio must be zero.

Therefore, for given situation the null hypothesis is R = 0

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The complete question is:

We want to test the hypothesis: the fraction of people with severe depression is higher in country A than in country B.

We have chosen the statistic of interest to be PAPB (fraction of depressed people in country A divided by fraction in country B). We call this ratio R.

What is the null hypothesis?

Group of answer choices

1 R=0

2 R=1

The simplified expression, when using the Quotient rule is b. 1 / 8⁴.

The Quotient Rule allows us to be able to carry out operations on quotients. The rule is such that when dividing quotients with the same base, you should subtract the quotients. For multiplication, you add the quotients.

8 ⁵ / 8 ⁹ will therefore be:

= 8 ⁵ ⁻ ⁹

= 8 ⁻⁴

8 ⁻⁴  is the equivalent of  1 / 8⁴ because when a number is taken to a negative power, then that number becomes a denominator to 1.

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