which of these data sets represent continuous data? a.) number of questions answered correctly in a multiple-choice quiz b.) numbers of tickets sold for a football game c.) heights of members of a baseball team d.) population of towns within a state

Answer:

x=0

x=1

The table already give us a hint, which is a set of values that are telling us what is the value of every function f(x) and g(x) for a given value for 'x' variable.

From the table we know that f(x) decreases when x>0 and goes in the other direction when x<0.

g(x) goes on a different direction, when x>0, it gets bigger, and when x<0, the function decreases.

So the two functions do not have too much space for being equal.

So, you can use the points given in the table to start your test.

f(0)= 0,25 ^ 0=1 since a number raised to 0 is always 0.

g(0)=-0.75 * 0 + 1 = 1

f(1)=0.25^1=0.25 since a number raised to 1 is always equals to itself

g(1)=-0.75*1+1=0.25

So f(x)=g(x), when x=1 and when x=0

The value of the definite integral (3x-4)²dx is (3b³ - 12b² + 16b + C) - (3a³ - 12a² + 16a + C), since the limits are not mentioned.

To evaluate the definite integral of (3x-4)² dx, we first need to expand the expression and then find the antiderivative. Finally, we need to apply the limits of integration if they are provided.

Expanding the expression:

(3x-4)² = 9x² - 24x + 16
Finding the antiderivative:

∫(9x² - 24x + 16) dx = 3x³ - 12x² + 16x + C
Now, if we have limits of integration (a, b), we would evaluate the antiderivative at those points and subtract the results:
F(b) - F(a) =\((3b^3 - 12b^2\) \(+ 16b + C\)) - \((3a^3 - 12a^2 + 16a + C)\)
However, since no limits of integration were provided, we cannot evaluate the definite integral further.

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Answer:

v= 29/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2(v−2)=−3−22

(−2)(v)+(−2)(−2)=−3+−22(Distribute)

−2v+4=−3+−22

−2v+4=(−3+−22)(Combine Like Terms)

−2v+4=−25

−2v+4=−25

Step 2: Subtract 4 from both sides.

−2v+4−4=−25−4

−2v=−29

Step 3: Divide both sides by -2.

−2v

−2

=

−29

−2

v=

29/2

Tyler charges $8 for an adult ticket.

It is given that Tyler charges $t for adult tickets and $5 for child tickets.

No. of tickets sold by him on Monday is 12 child tickets and 9 adult tickets.

No. of tickets sold by him on Tuesday is 20 child tickets and 4 adult tickets.

Therefore,

Tyler earned $12 X 5 + $9 X t on Monday

= $9t + $60

Tyler earned $20 X 5 + $4 X t on Tuesday

= $4t + $100

According to the problem, the earnings on both the days are same. Hence we get the linear equation as follows

9t + 60 =  4t + 100

bringing all the variables, i.e t's to LHS and constants to RHS we get

9t - 4t = 100 - 60

or, 5t = 40

Bringing 5 to RHS we get

t = 40/5

or, t = 8

Therefore, t = $8

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Based on the triangle midsegment theorem, the length of QT is calculated as: B. 44 cm.

Using the image above as a reference, the triangle midsegment theorem states the length of the midsegment US, of triangle QRT is parallel to the third side, segment QT, and therefore has a length that is half of the length of segment QT.

Given that US is a midsegment in triangle QRT, and it is equal to 22 cm, therefore, we can find the length of the third side it is parallel to, side QT by  applying the triangle midsegment theorem as explained below:

The length of US = 1/2(the length of QT)

Substitute

22 = 1/2(QT)

Multiply both sides by 2

2(22) = QT

44 = QT

QT = 44 cm

Therefore, the answer is: B. 44 cm.

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Answer:

B. 44 cm.

Step-by-step explanation:

The value of x in the domain of f(x) is x = 10.option (A)

To find the domain of the function f(x) = √(x - 8), we need to consider the values of x for which the expression under the square root is non-negative.

That is, x - 8 ≥ 0

Simplifying, we get x ≥ 8

Therefore, any value of x that is greater than or equal to 8 is in the domain of the function.

Out of the given options, only option A. x = 10 satisfies this condition.

So, the value of x in the domain of f(x) is x = 10.

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Answer:

210

Step-by-step explanation:

Answer:

t=6

Step-by-step explanation:

Solve for tt by simplifying both sides of the equation, then isolating the variable.

Answer:

t=6

Step-by-step explanation:

We first use the addition property of equality by adding 8 to both sides. This cancels out the "-8" on the left-hand side of the equation.

We get: 1/3t= 2.

Then, we multiply 3 to both sides of the equation to cancel out the fraction on the left-hand side of the equation.

We get: t=6

This is your final answer.

I hope this helps!

There is a 0.087 = 8.73% chance that four arrivals will occur at the same half-hour.

In which case,

x represents the number of successes.

The Euler number is e = 2.71828 = 2.72

μ is the average over the given time interval.

With a rate parameter of five per hour, the Poisson process is used.

So, μ = 5

The likelihood of exactly four arrivals occurring at the same time;

This is known as P(X = 4).

Put the values in the formula;

P(X = x) = (e∧(-μ)× μˣ) / x!

P(X = 4) = (2.72∧(-5)× 5⁴) / 4!

Simplifying the equation;

P(X = 4) = 0.08736

P(X = 4) = 8.73%

0.087 = 8.73% chance that exactly four arrivals happen during a specific half -hour.

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ANSWER and EXPLANATION

The population of lions is modeled by the equation:

where t = number of years since 2005.

(a) To find the number of lions there in 2005, we have to find P when t is 0:

There were 1500 lions.

(b) The given function is an exponential function. The exponential factor in the function is 0.98.

In an exponential function, when the exponential factor is less than 1, it means that the function is a decay, hence, it is a decreasing function.

Hence, the population of lions was decreasing over the decade.

(c) Since 2015 is 10 years after 2005, to find the population of lions in 2015, we have to find P when t is equal to 10.

That is:

That is the answer.

The purpose of the presentation is to explore the use of tangent lines, tangent planes, and Taylor polynomials for approximate integration. The existence of the level curve influences the accuracy of approximating g(x,y) by its second-degree Taylor polynomial.

By examining the level curve, we can determine the behavior of the function near the point of approximation. If the level curve is relatively flat, the second-degree Taylor polynomial will provide a more accurate approximation. However, if the level curve is steep or has significant curvature, the accuracy of the approximation may be lower.

This is because the second-degree Taylor polynomial assumes a locally linear behavior, which may not hold true if the level curve is highly nonlinear.

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The polynomial is Prime.

To identify the factors:

Therefore, the polynomial is Prime.

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Answer:

whats the question and ill answer in the comments

Step-by-step explanation:

if your asking for which time has the equal amount of attendee it between 7pm and 9pm if i am correct

Answer:

1766 using 3.14 for pi

1767 using the pi button

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

we need to know the radius

r =d/2 = 15/2 = 7.5

V = 4/3 (pi)( 7.5)^3

V =562.5 pi

Approximating pi by 3.14

V = 562.5 (3.14)

V =1766.25

To the nearest whole number

V = 1766

If you use the pi button

1767.14586

To the nearest whole number

1767

Answer:

\(V=1767\)

Step-by-step explanation:

Step 1:  Find the volume of the sphere

Volume of a Sphere:  \(V=\frac{4}{3}\pi r^{3}\)

Find the radius

\(Radius = Diameter / 2\)

\(Radius = 15 / 2\)

Plug in the values and solve

\(V=\frac{4}{3}\pi * \frac{15}{2}^{3}\)

\(V=\frac{4}{3}\pi * \frac{3375}{8}\)

\(V=\frac{1125}{2}\pi\)

\(V=1767\)

Answer:  \(V=1767\)

The values of the combination expressions are ¹²C₁₁ = 12, ¹²C₁₀ = 66, ¹²C₅ = 792, ¹²C₁ = 12, ¹²C₁₂ = 1, ⁵C₄ + ⁵C₃ = 15, ⁵C₃/⁵C₂ = 1 and 4⁷C₂ = 84

Also, the number of ways is 30045015

From the question, we have the following parameters that can be used in our computation:

¹²C₁₁

The formula for combination is

ⁿCₓ = n!/[(n - x)! * x!]

So, we have

¹²C₁₁ = 12!/[(12 - 11)! * 11!]

Evaluate

¹²C₁₁ = 12

Using the above as a guide, we have the following:

¹²C₁₀ = 12!/[(12 - 10)! * 10!]

¹²C₁₀ = 66

¹²C₅ = 12!/[(12 - 5)! * 5!]

¹²C₅ = 792

¹²C₁ = 12!/[(12 - 1)! * 1!]

¹²C₁ = 12

¹²C₁₂ = 12!/[(12 - 12)! * 12!]

¹²C₁₂ = 1

⁵C₄ + ⁵C₃ = 5!/[(5 - 4)! * 4!] + 5!/[(5 - 3)! * 3!]

⁵C₄ + ⁵C₃ = 15

⁵C₃/⁵C₂ = 5!/[(5 - 3)! * 3!] / 5!/[(5 - 2)! * 2!]

⁵C₃/⁵C₂ = 1

4⁷C₂ = 4 * 7!/[(7 - 2)! * 2!]

4⁷C₂ = 84

For the number of ways to get people hired, we have

n = 30

x = 10

So, we have

³⁰C₁₀ = 30!/[(30 - 10)! * 10!]

³⁰C₁₀ = 30045015

Hence, the number of ways to get them hired is 30045015 ways

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The resulting interval will contain 95% of all sample means. In conclusion, the interval value is 1.96.

When applying the Central Limit Theorem (CLT) to define an interval within which we expect 95% of all sample means to fall, we would use a z-value of 1.96. This is because 95% of the area under a normal distribution curve falls within 1.96 standard deviations of the mean. Therefore, using a z-value of 1.96 will give us an interval that contains 95% of all sample means.

Identify the desired confidence level. In this case, it is 95%.

Find the corresponding z-value for the desired confidence level. For a 95% confidence level, the z-value is 1.96.

Use the z-value and the standard deviation of the sample means to calculate the interval. The formula for the interval is:

mean ± (z-value)(standard deviation)

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Answer:6

Step-by-step explanation: each corner is a start for each angle so if you count each corner you have 6=6 angles

For the given function f(x) = 5x² + 2x - 3,

Part A: The x-intercepts of the graph f(x) are: (-1, 0) and (3/5, 0).

Part B: The vertex of the graph of f(X) is going to be a minimum and its coordinates are (-0.2, -3.2).

Part C: The values obtained in the part A and Part B are used for graphing the given function. Since the vertex is minimum, the parabola opens upwards.

The x-intercepts of a function or equation are obtained at y = 0.

Then, on substituting y = 0 in the function gives the x-coordinate i.e., the x-intercept.

To calculate the x coordinate of vertex(h, k), use the formula mentioned below:

h = -b/2a

When the function is in the form of ax² + bx + c.

Then, to calculate the y-coordinate of the vertex, substitute obtained h value in the place of x in the function.

Thus, the required coordinates of the vertex are obtained as (h, k).

It is given that,

f(x) = 5x² + 2x - 3

Part A: Finding the x-intercepts:

Substituting y = 0 i.e., f(x) = 0;

⇒ 5x² + 2x - 3 = 0

On simplifying/factorizing,

⇒ 5x² + 5x - 3x - 3 = 0

⇒ 5x(x + 1) - 3(x +1) = 0

⇒ (5x - 3)(x + 1) =0

∴ x = 3/5 or x = -1

Thus, the x-intercepts are (3/5, 0) and (-1, 0).

Part B: Finding the vertex of the given function:

We have h = -b/2a

From the given function 5x² + 2x - 3; a = 5, b = 2 and c = -3

So, h = -2/2(5) = -1/5 = -0.2

Then, on substituting h = x = -0.2 in the function we get

k = 5(-0.2)² + 2(-0.2) - 3

k = -3.2

Thus, the coordinates of the vertex are (h, k) = (-0.2, -3.2).

Since a > 0 i.e., 5 > 0, the vertex of the graph is going to be minimum and the graph of f(x) opens upwards.

Part C: Steps to graph f(X):

Step 1: Plot the x-intercepts in the coordinate plane

Step 2: Plot the vertex of the function

Step 3: draw a curve line passing through them, opening towards up.

Thus, the graph of the given function is plotted as shown below.

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If positive integer x has 3 prime factors and 8 total factors, then (n+1)^3 total factors will x^n have where n is a positive integer

      In the question given that positive integer x has 3 prime factors and 8 total factors

      To find How many total factors will x^n have where n is a positive integer

The formula used the total number of factors of a positive integer

            x = (a+1) (b+1) (c+1)…  where a, b, c are prime factors of x.

Substituting the values from the given information:

          x = p*q*r (where p, q, and r are prime numbers)

     Total number of factors of  x = (1+1) (1+1) (1+1)

      A total number of factors of  x = 2 * 2 * 2

     The total number of factors of x = 8

If x has 3 prime factors, then the other factor could be 1x = p*q*rx^1

                                                                                               = p*q*r(1+1) (1+1) (1+1)

                                                                                               = 8

      factors  x^2 = p^2*q^2*r^2(2+1) (2+1) (2+1) = 27

      factors  x^3 = p^3*q^3*r^3(3+1) (3+1) (3+1) = 64

      factors x^n = p^n*q^n*r^n(n+1) (n+1) (n+1)

     Number of factors = (n+1)^3

              Hence the number of factors in x^n is (n+1)^3.

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Answer:

The second term of the binomial factor should be 3c instead of 3.

Step-by-step explanation:

Distributive property:

a*b + a*c = a*(b +c)

3b + 9c = 3*b + 3* 3 *c = 3*(b + 3c)

Answer:

hi how are you . i cant find the answer youre looking for

Answer:

1) 6 ( a - b )

2) x² - 2xy + y²

Step-by-step explanation:

1) 4 ( a - c ) + 2 ( a - b )

First, solve the brackets.

4a - 4c + 2a - 2b

Combine like terms.

6a - 6b

Take the common factor out.

6 ( a - b )

2) x ( x - y ) + y ( y - x )

First, solve the brackets

x² - xy + y² - xy

Combine like terms.

x² - 2xy + y²

There is only one distinct triangle possible, with m∠n ≈ 33°.

This is because the sum of the angles in a triangle is always 180°, and if one angle is 51° and another is 20°, the third angle must be less than 109° for a triangle to be formed. Since n is already 14°, it must be combined with m to create an angle less than 109°, which can be achieved by using a value close to 33° for ∠n. Using 147° for ∠n would result in a third angle greater than 180°, making a triangle impossible. Hence only one value is possible.

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Answer:

6'0

Step-by-step explanation:

In estimating a population mean, an interval estimate is more likely to be correct than a point estimate. An interval estimate provides a range of values within which the true population mean is likely to fall, while a point estimate provides only a single value.

When estimating a population mean, using an interval estimate is more likely to be correct because it accounts for the uncertainty associated with the estimate. A point estimate, on the other hand, provides a single value that is assumed to represent the true population mean. However, due to sampling variability and potential errors in measurement, a point estimate is prone to error and may not accurately reflect the true population mean.

By using an interval estimate, which includes a range of values, we have a measure of uncertainty. The range is typically constructed based on a certain level of confidence, such as a 95% confidence interval. This means that if we were to repeat the sampling and estimation process many times, the true population mean would be expected to fall within the estimated interval in 95% of those repetitions.

The interval estimate takes into account the variability in the data and provides a more realistic representation of the true population mean. It provides a margin of error and acknowledges that the point estimate is just one possible value among many that could have been obtained through sampling.

Therefore, when estimating a population mean, an interval estimate is preferred because it not only provides a point estimate but also quantifies the uncertainty associated with that estimate, leading to a higher likelihood of being correct.

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the dimensions of the garden that minimize the cost are L = 2 ft and W = 4 ft.Let the length of the rectangular garden be L and the width be W. Then, the area of the garden is given as L x W = 8.

The cost C of enclosing the garden is given by:
C = 20L + 10(2L + W)

Substituting the value of W from the area equation, we get:
C = 20L + 10(2L + 8/L)

Differentiating C with respect to L and equating it to zero to find the minimum cost:
dC/dL = 20 + 20 - 80/L^2 = 0
Solving for L, we get L = 2 ft

Substituting L = 2 in the area equation, we get:
W = 4 ft

Therefore, the dimensions of the garden that minimize the cost are L = 2 ft and W = 4 ft.
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Step-by-step explanation:

y = 4x + 1 and y = -2x + 4

4x + 1 = -2x + 4, 6x = 3, x = 0.5

When x = 0.5, y = 4(0.5) + 1 = 3.

The point of intersection is (0.5, 3). (B)

Step-by-step explanation:

y = 4x + 1

A.(2,9)

y = 4(2) + 1 = 9

y = 9.

y = 4x + 1

9 = 4x + 1

9 - 1 = 4x

8 = 4x => x = 8÷4 = 2

x = 2.

y = -2x + 4.

A.(2,9)

y = -2(2) + 4 = 0

y = 0.

y = - 2x + 4

0 = -2x + 4

0 - 4 = 2x

0 = 2x => x = 0 ÷ 2 = 0

x = 0.

y = 4x + 1

B.(1/2, 3)

y = 4(1/2) + 1

y = 4 ÷ 2 + 1 = 3

y = 3.

y = 4x + 1

3 = 4x + 1

3 - 1 = 4x

2 = 4x => x = 2 ÷ 4 = 1/2

x = 1/2.

y = - 2x + 4

B.(1/2, 3)

3 = - 2x + 4

3 - 4 = - 2x

- 1 = - 2x => x = 1/2

x = 1/2.

y = - 2x + 4

y = - 2(1/2) + 4

y = -2(0.5)+ 4

y = -1 + 4 = 3

y = 4x + 1

C.(1,2)

y = 4(1) + 1 = 5

y = 5.

y = 4x + 1

5 = 4x + 1

5 - 1 = 4x

4 = 4x => x = 4÷4 =1

x = 1.

y = -2x + 4

C.(1, 2)

y = - 2(1) + 4

y = - 2 + 4 = 2

y = 2.

2 = -2x + 4

2 - 4 = - 2x

- 2 = - 2x => x = 2÷2 = 1

x = 1.

y = 4x + 1

D.(1/4, 2)

y = 4(1/4) + 1

y = 4(0.25) + 1

y = 1 + 1 = 2

y = 2.

y = 4x + 1

2 = 4x + 1

2 - 1 = 4x

1 = 4x => x = 1/4

Point A is the point of intersection of the lines.

David can best improve his investigation by including a control group. A control group is a group that does not receive any treatment or intervention and is used as a benchmark to compare the results of the experimental group. In this case, the control group would be a third young elm tree that is planted near the other two but does not receive any water or fertilizer. David can measure the height and trunk girth of the control tree every week for a year as well.

In scientific research, it is important to include a control group to ensure that the results of the experimental group are due to the treatment or intervention and not due to other factors. In this case, David is investigating the factors that affect plant growth, and he is manipulating the amount of water and fertilizer that the two elm trees receive. However, there could be other factors that affect plant growth, such as soil quality, sunlight exposure, temperature, and pests. If David only measures the height and trunk girth of the two elm trees that receive water and fertilizer, he cannot be sure if any changes in their growth are due to the treatment or due to other factors.

To improve his investigation, David can plant a third young elm tree near the other two and not give it any water or fertilizer. This third tree will serve as the control group, and David can measure its height and trunk girth every week for a year as well. By comparing the growth of the experimental group (the two elm trees that receive water and fertilizer) to the growth of the control group (the third elm tree that receives nothing), David can be more confident that any changes in the growth of the experimental group are due to the treatment and not due to other factors.

David can best improve his investigation by including a control group, which will serve as a benchmark to compare the results of the experimental group. The control group should be a third young elm tree that is planted near the other two but does not receive any water or fertilizer. David can measure the height and trunk girth of the control tree every week for a year as well. By comparing the growth of the experimental group (the two elm trees that receive water and fertilizer) to the growth of the control group (the third elm tree that receives nothing), David can be more confident that any changes in the growth of the experimental group are due to the treatment and not due to other factors.

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Answer:

y=x^28x+31

Step-by-step explanation:

Answer:   y= x 4 − 6 y = 1 x − 2

Step-by-step explanation: