p-value < 0.01 0.01 ≤ p-value < 0.025 0.025 ≤ p-value < 0.05 0.05 ≤ p-value < 0.10 p-value ≥ 0.10

Answer:

11x - y = -8

Step-by-step explanation:

Multiplying the first equation by 2 will result in 6x-8y = 10. Adding that to 5x+7y=-8 will be 11x - y = -8.

Answer:

no

Step-by-step explanation:

no

Answer:

f(x)=-2(x+6)-12

Step-by-step explanation:

so the easiest one to do would be vertex form

f(x)=a(x-h)+k

so your vertex represents (h, k)

so plug in those values

f(x)=a(x- - 6) -12

now use the other point to solve for a

-24=a(0+6)+12

-24=6a+12

-12=6a

-2=a

Answer:

I think it's A and C

Step-by-step explanation:

I could be wrong though

Answer:

c

Step-by-step explanation:

if not sorry

Answer:

A. 102

B. 78

Step-by-step explanation:

mEG = 360 - 258 = 102°

m∠EFG = 1/2 ( major arc - manor arc) = 1/2 (258 - 102) = 78°

Answer:

Overtime hours = [h - 40] hours

Step-by-step explanation:

Given:

Weekly hour work = 40 hours per week

Total hour work = h hours

Find:

Overtime hours

Computation:

Overtime hours = Total hour work - Weekly hour work

Overtime hours = [h - 40] hours

Answer:

See below

Step-by-step explanation:

Given a polygon with vertices

Translation rule is

New coordinates are

Answer:his answer is right

Step-by-step explanation:

Answer:

I do not understand the question?

Step-by-step explanation:

The correct option is B. The trips will each bus has to make to get everyone to the stadium is 40 trips.

The number of fans who will need to use satellite parking is:

150,000 x 0.52 = 78,000

Each bus can carry 65 fans, so the total number of trips required is:

78,000 / 65 = 1200

Therefore, each bus will need to make 1200/30 = 40 trips

Satellite parking typically offers lower rates than the central parking area and provides a shuttle service to transport passengers to and from the main terminal. This type of parking is a popular option for travelers who need to park their car for an extended period of time, such as those going on vacation or business trips.

Satellite parking can be located either on-site or off-site, depending on the transportation hub. Some airports have several satellite parking lots located at various distances from the main terminal, while others have a single satellite parking area. Overall, satellite parking is an important component of transportation infrastructure, as it provides a convenient and affordable parking solution for travelers while also helping to alleviate congestion in the main parking area.

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To determine which differential equation(s) are linear, we need to examine the form of each equation. A linear differential equation is one that can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x), b(x), c(x), and g(x) are functions of x.

The differential equation 2xy" - 5xy' + y = sin(3x) is linear. It can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x) = 2x, b(x) = -5x, c(x) = 1, and g(x) = sin(3x).
The differential equation (v)² + xy = In(x) is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (v)², where v represents the derivative of y with respect to x. This term does not have a linear coefficient.
The differential equation y' + sin(y) = e^(3x) is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = sin(y), and g(x) = e^(3x).
The differential equation (x²+1)y" - 3y - 2x³y = -x - 9 is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (x²+1)y", where the coefficient is a function of x.
The differential equation y' + xy = y" is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = x, and g(x) = y".

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Answer: x² - x - 12

Step-by-step explanation: When multiplying two binomials together, we can use the F.O.I.L. method.

First, Outer, Inner, Last.

We take the product of the first terms which is x² plus the product of the outer terms which is -4x plus the product of the inner terms which is 3x plus the product of the last terms which is -12.

So we have x² - 4x + 3x - 12.

Simplifying from here by combing the middle terms, we have x² - x - 12.

Pay very close attention to your positives and negatives as you F.O.I.L. because this is the area where most mistakes occur.

Answer:

Hi there!

Your answer is:

6.25% of the pizza is in each slice. Each slice represents .0625 of the pizza!

100/16= 6.25

decimal format means you divide 6.25/100

Check your work!

.0625 × 16 should equal 1 (and it does!)

6.25% × 16 should equal 100 (and it does!)

Hope this helps!

Answer:

Each slice is 0.0625

Step-by-step explanation:

Sample answer from Edmentum!

Answer:

Step-by-step explanation:

I am not sure what your first inequality is saying y≤2x +7 or y≥2x+7

-the equation y> -3x-2 , has a negative slope m= -3 (the line is going down from left to right if is a negative slope) and it has to be a dotted line( <, or > is a dotted line, ≤, or ≥ is a solid line) so the answer must be either A or D

-if the second equation is y≤2x +7 then the answer is D because y has to be less than 2x+7 the area under the line will be include in the solution

--if the second equation is y≤2x +7 then the answer is A because y has to be greater than 2x+7 the area above the line will be include in the solution

Answer:

1 4/5

Step-by-step explanation:

2x+7>-3x-2

2x+3x>-2-7

5x/5>-9/5

=1 4/5

Thanks Hope It Help

Answer: 27<AB<81

Step-by-step explanation:

We can generalize the triangle inequality theorem to say that the sum of the lengths of the two shorter sides must be greater than the length of the longest side.

Case 1: AB is the longest side

\(27+54 > AB\\AB < 81\)

Case 2: BC is the longest side

\(27+AB > 54\\AB > 27\)

So, \(\boxed{27 < AB < 81}\)

27<AB<81 expresses all possible lengths of segment AB

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The lengths in the triangle are given as AC= 27 , CB= 54

Let us find the length of AB  by using pythagoras theorem

AB²=AC²+CB²

AB²=27²+54²

AB²=729+2916

AB²=3645

AB = 60.34

27<AB<81

Hence, 27<AB<81 expresses all possible lengths of segment AB

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The eye color of respondents in a survey is qualitative data at the nominal level of measurement.

The eye color of respondents in a survey can be categorized as qualitative data because it represents a characteristic or attribute rather than a numerical quantity. Qualitative data is descriptive and categorical.

In terms of the level of measurement, the eye color variable can be classified as nominal level data. Nominal data is the lowest level of measurement and simply categorizes observations into different groups without any inherent order or magnitude. In this case, eye colors such as blue, brown, green, hazel, etc. are non-numeric categories without any implied ranking or quantitative relationship.

Nominal data is characterized by the fact that you cannot perform mathematical operations on the categories, and there is no meaningful measure of central tendency or dispersion. Eye color falls into this category since you cannot meaningfully calculate averages or quantify differences between eye colors using mathematical operations.

To summarize, the eye color of respondents in a survey is qualitative data at the nominal level of measurement.

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The rate of change, in square inches per second, of the area of the region at the instant when R is 44 inches and r is 33 inches is

8363 square inches

The rate of change is the derivative, the rate of change is calculated by differentiation the area

formula for area of concentric circle is given by

Area A = π(R^2 - r^2) =

R = radius of the inner circle

r = radius of the outer circle

δA/δt = δA/δRδr * δRδr/δt

δA/δt = π * (2RδR/δt - 2rδr/δt)

δA/δt = π * 2(R * δR/δt - r * δr/δt)

where R = 44 and δR/δt = 22

r = 33 and δr/δt = -11

= 2π(44 * 22 - 33 * -11)

= 2π (968 - -363)

=  2π (1331)

= 2662π

= 8362.9196 square inches

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A sample size of 1500 or 10000 is generally sufficient for a reasonably accurate poll if proper methodology and random sampling techniques are utilized.

The correct answer is option A and B.

Determining a sufficient sample size for a reasonably accurate poll requires considering several factors: the population size, desired margin of error, confidence level, and expected variability within the population.

To calculate the sample size, we can use the formula:

n = (\(Z^2 * p * (1-p)) / (E^2)\)

Where:

n = required sample size

Z = Z-score corresponding to the desired confidence level

p = estimated proportion or expected prevalence in the population

E = desired margin of error

For example, let's assume we want a 95% confidence level, a margin of error of 5%, and an estimated prevalence of 50% (which provides the maximum required sample size). Plugging these values into the formula, we have:

Z = 1.96 (corresponding to a 95% confidence level)

E = 0.05 (5% margin of error)

p = 0.5 (estimated prevalence)

n = (\(1.96^2\) * 0.5 * (1-0.5)) / (0.05^2)

n = (3.8416 * 0.25) / 0.0025

n = 0.9604 / 0.0025

n = 384.16

Therefore, the required sample size would be approximately 384. This calculation assumes a worst-case scenario (p = 0.5) to ensure a conservative sample size estimate.

Based on the given options:

- A sample size of 1500 exceeds the required sample size, providing a reasonably accurate poll.

- A sample size of 10000 is more than sufficient and would yield an even more accurate poll.

- Sampling 10 percent of the population can be considered sufficient, depending on the total population size.

- Sampling 100 percent of the population would provide the most accurate results, but it is usually impractical or impossible.

In conclusion, both a sample size of 1500 and 10000 are correct answer making option A and B the correct answer.

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The question probable may be:

Which of the following sample sizes is sufficient to have a reasonably accurate poll? Group of answer choices:

A. 1500

B. 10000

C. 10 percent of the population

D. 100 percent of the population

Answer:

\(\text{Exact: }AB=25\sqrt{6},\\\text{Rounded: }AB\approx 61.24\)

Step-by-step explanation:

We can use the Law of Sines to find segment AD, which happens to be a leg of \(\triangle ACD\) and the hypotenuse of \(\triangle ADB\).

The Law of Sines states that the ratio of any angle of a triangle and its opposite side is maintained through the triangle:

\(\frac{a}{\sin \alpha}=\frac{b}{\sin \beta}=\frac{c}{\sin \gamma}\)

Since we're given the length of CD, we want to find the measure of the angle opposite to CD, which is \(\angle CAD\). The sum of the interior angles in a triangle is equal to 180 degrees. Thus, we have:

\(\angle CAD+\angle ACD+\angle CDA=180^{\circ},\\\angle CAD+60^{\circ}+75^{\circ}=180^{\circ},\\\angle CAD=180^{\circ}-75^{\circ}-60^{\circ},\\\angle CAD=45^{\circ}\)

Now use this value in the Law of Sines to find AD:

\(\frac{AD}{\sin 60^{\circ}}=\frac{100}{\sin 45^{\circ}},\\\\AD=\sin 60^{\circ}\cdot \frac{100}{\sin 45^{\circ}}\)

Recall that \(\sin 45^{\circ}=\frac{\sqrt{2}}{2}\) and \(\sin 60^{\circ}=\frac{\sqrt{3}}{2}\):

\(AD=\frac{\frac{\sqrt{3}}{2}\cdot 100}{\frac{\sqrt{2}}{2}},\\\\AD=\frac{50\sqrt{3}}{\frac{\sqrt{2}}{2}},\\\\AD=50\sqrt{3}\cdot \frac{2}{\sqrt{2}},\\\\AD=\frac{100\sqrt{3}}{\sqrt{2}}\cdot\frac{ \sqrt{2}}{\sqrt{2}}=\frac{100\sqrt{6}}{2}={50\sqrt{6}}\)

Now that we have the length of AD, we can find the length of AB. The right triangle \(\triangle ADB\) is a 30-60-90 triangle. In all 30-60-90 triangles, the side lengths are in the ratio \(x:x\sqrt{3}:2x\), where \(x\) is the side opposite to the 30 degree angle and \(2x\) is the length of the hypotenuse.

Since AD is the hypotenuse, it must represent \(2x\) in this ratio and since AB is the side opposite to the 30 degree angle, it must represent \(x\) in this ratio (Derive from basic trig for a right triangle and \(\sin 30^{\circ}=\frac{1}{2}\)).

Therefore, AB must be exactly half of AD:

\(AB=\frac{1}{2}AD,\\AB=\frac{1}{2}\cdot 50\sqrt{6},\\AB=\frac{50\sqrt{6}}{2}=\boxed{25\sqrt{6}}\approx 61.24\)

Answer:

\( \displaystyle 25 \sqrt{6} \)

Step-by-step explanation:

the triangle ∆ABD is a special right angle triangle of which we want to figure out length of its shorter leg (AB).

to do so we need to find the length of AD (the hypotenuse). With the help of ∆ADC it can be done. so recall law of sin

\( \boxed{ \displaystyle \frac{ \alpha }{ \sin( \alpha ) } = \frac{ \beta }{ \sin( \beta ) } = \frac{ c}{ \sin( \gamma ) } }\)

we'll ignore B/sinB as our work will be done using the first two

step-1: assign variables:

step-2: substitute

\( \displaystyle \frac{100}{ \sin( {45}^{ \circ} )} = \frac{AD }{ \sin( {60}^{ \circ} )} \)

recall unit circle therefore:

\( \displaystyle \frac{100}{ \dfrac{ \sqrt{2} }{2} } = \frac{AD }{ \dfrac{ \sqrt{3} }{2} } \)

simplify:

\(AD = 50 \sqrt{6} \)

since ∆ABD is a 30-60-90 right angle triangle of which the hypotenuse is twice as much as the shorter leg thus:

\( \displaystyle AB = \frac{50 \sqrt{6} }{2}\)

simplify division:

\( \displaystyle AB = \boxed{25 \sqrt{6} }\)

and we're done!

Cafeteria A has 7 packs of granola bars and 12 loose granola bars. Cafeteria B has 3 packs of granola bars and 84 loose granola bars. If the cafeterias have the same number of granola bars, each package has 18 granola bars.

A linear equation is an algebraic equation of the form y=mx+b. regarding best a consistent and a primary-order (linear) term, where m is the slope and b is the y-intercept. every now and then, the above is known as a "linear equation of two variables," wherein y and x are the variables.

We can find the number of granola bars in each pack using the liner equation.

First, form the equation

Let "\(x\)" be the total number of granola bars that each pack of granola has.

Let "\(y\)" be the total amount of granola bars that each cafeteria has.

Cafeteria A: \(7x + 12 = y\)

Cafeteria B: \(3x + 84 = y\)

Then, since both the equations are solved \(y\), we may take the argument at the left side of the equal sign from both equations and equal them.  \(7x + 12 = 3x + 84\)

Find the value of \(x\)

\(7x + 12 = 3x + 84\)

\(7x-3x = 84 - 12\) ( Subtract \(3x\) and \(12\) from both sides. )

\(4x = 72\) ( Simplify by solving the subtraction. )

\(\frac{4x}{4}=\frac{72}{4}\) ( Divide both sides by 4. )

\(x=18\)

Now, substitute the value of \(x\) by \(x\) on any of the equations.

\(y=7(18)+12\)

\(y=138\)

If a system of linear equations was created, where 2 equations gave the number of granola bars that each cafeteria has, then the \(x\) value obtained when the system was solved, indicates the number of granola bars that each cafeteria has in each package. Each package has 18 granola bars.

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The integral: S1 0 (-x³ - 2x² - x + 3)dx is -1/12

An integral is a mathematical operation that calculates the area under a curve or the value of a function at a specific point. It is denoted by the symbol ∫ and is used in calculus to find the total amount of change over an interval.

To evaluate the integral:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx $\)

We can integrate each term of the polynomial separately using the power rule of integration, which states that:

\($ \int x^n dx = \frac{x^{n+1}}{n+1} + C $\)

where C is the constant of integration.

So, we have:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = \left[-\frac{x^4}{4} - \frac{2x^3}{3} - \frac{x^2}{2} + 3x\right]_0^1 $\)

Now we can substitute the upper limit of integration (1) into the expression, and then subtract the result of substituting the lower limit of integration (0):

\($ \left[-\frac{1^4}{4} - \frac{2(1^3)}{3} - \frac{1^2}{2} + 3(1)\right] - \left[-\frac{0^4}{4} - \frac{2(0^3)}{3} - \frac{0^2}{2} + 3(0)\right] $\)

Simplifying:

\($ = \left[-\frac{1}{4} - \frac{2}{3} - \frac{1}{2} + 3\right] - \left[0\right] $\)

\($ = -\frac{1}{12} $\)

Therefore,

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = -\frac{1}{12} $\)

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Answer:

Option A is the next step in the series.

One game that fits the description is a deck-building card game called "RandomQuest." In this game, each player creates their own unique character at the beginning by selecting different attributes, abilities, and starting equipment. These choices determine the character's overall strength and capabilities.

During gameplay, players are dealt a hand of random item cards from a shared deck. These item cards represent weapons, armor, spells, potions, and other useful items that the character can utilize. The goal is to strategically use these item cards to overcome challenges and defeat enemies.

The outcome of each encounter is determined by a combination of factors, including the player's character attributes, the chosen item cards, and the random elements introduced by the game mechanics. Each item card has specific effects and values, such as attack power, defense bonuses, or special abilities, which contribute to the character's overall performance.

To calculate the chances of winning, players must consider the strength of their character, the capabilities of their opponents, and the potential synergies between the item cards they possess. They should strategically choose which item cards to play in each encounter, considering factors like the enemy's weaknesses, their own character's strengths, and the potential risks and rewards of each card.

"RandomQuest" is a deck-building card game where players use randomly assigned item cards to win encounters and overcome challenges. Through strategic decision-making and synergistic card combinations, players can maximize their chances of success and achieve victory.

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Answer:

  (25 -5√7)/3 ≈ 3.924 inches

Step-by-step explanation:

After removing squares from the corners and folding up the sides, the open-top box will have dimensions ...

  x × (20 -2x) × (30 -2x)

The maximum value for this cubic expression in the domain 0 < x < 10 is found easily by a graphing calculator to be at x = 3.924 inches.

__

You can solve this by expanding the cubic and finding the solution that makes its derivative equal to 0.

  V(x) = 4x^3 -100x^2 +600x

The derivative is ...

  V'(x) = 12x^2 -200x +600 = 0

Dividing by 12, we have ...

  x^2 -50/3x +50 = 0

Completing the square, we get the form ...

  (x -25/3)^2 = -50 +(25/3)^2 = (-450 +625)/9 = 175/9

Taking the square root gives ...

  x -25/3 = ±(5√7)/3

The solution in the desired range is ...

  x = (25 -5√7)/3 ≈ 3.924 . . . inches

_____

Additional comment

We limit the value of x to half the width of the cardboard material, as any longer cuts would overlap to create a negative box dimension. The graph shows the maximum volume to be about 1056.3 cubic inches. Box dimensions would be 3.924 in deep by 12.153 in by 22.153 in.

__

The generic solution can be found using a similar procedure. For cardboard dimensions a×b, it will be ...

x = ((a +b) -√((a -b)² +ab))/6

Answer:

what is the question?

Step-by-step explanation:

Answer: nice going Len

Step-by-step explanation:

What's he gonna do with all the tea

It is found that the intercepts can be found from vertex form, if the graph is hovering above the x axis (k<0).

The intersection of the graph of the function with the y-axis gives y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Assume that we've got: y = f(x) At y-axis, we've got x = 0, so putting it will give us the y-intercept. Thus, y-intercept of y = f(x) is y = f(0)

If a quadratic equation is written in the form y=a(x-h)² + k

therefore it is called to be in vertex form. It is called so because when you plot this equation's graph, we will see vertex point(peak point) is on (h,k)

To convert the given equation to vertex form, We will take out coefficient of x squared, and then inside the bracket, we try to make perfect square like situation.

To find the intercepts, if the graph is hovering above the x axis (k<0) then there will be no real solutions for the x intercept.

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The number of cupcakes that were sold in each of the hours between 4 and 6 o’ clock is 24 cupcakes.

Since the total number of cupcakes that were sold is equal to 9 dozen cupcakes.

Total number of cupcakes = 9 * 12 = 108 cupcakes.

Since c is the number of cupcakes that were sold in each of the hours between 4 and 6 o’ clock.

We can write an equation that represents the total number of cupcakes sold as follows:

36 + 24 + c + c = 108

Solve for c:

36 + 24 + c + c = 108

36 + 24 + 2c = 108

60 + 2c = 108

2c = 108 - 60

2c = 48

c = 48/2

c = 24

Therefore, the number of cupcakes that were sold in each of the hours between 4 and 6 o’ clock is 24 cupcakes.

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Answer:

Step-by-step explanation:

Sorry, I couldn't draw the line. Hope it helps. :)

Answer:

Use mathcway its 2 ez with that page trust me bro

Step-by-step explanation:

No cap

5 10 okey espero te sirva

Answer:

D

Step-by-step explanation:

f(x) = x^2+1 at x=-1, f(-1)=1+1=2

A probability distribution that indicates the probability of r successes in n trials is known as a) binomial distribution.

The correct answer is a) binomial. A binomial probability distribution is used to calculate the probability of a certain number of successes (r) in a given number of independent trials (n), where the probability of success in each trial is constant. The distribution is often used in statistics and probability theory to model real-world situations such as coin flips, product defects, or election results. The other terms mentioned in the question (subjective, joint, and marginal) are unrelated to binomial probability distributions. A probability distribution that indicates the probability of r successes in n trials is known as a) binomial distribution.

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