Supposed that the demand d. for candy at a theater is inversely related to the price p. (A) when the price if candy is $3.25 per bag, the theater sells 144 bags of candy. Express the demand for candy in terms of its price. (B) determine the number of candy that will be sold if the price is raised to $4.00 a bag. (A). Write the equation that relates D to p. (B) the theater will sell how many bags of candy if the price is raised to $4.00 a bag

Answer:

1rst one

Step-by-step explanation:

Answer:

Step-by-step explanation:

The calculated t-value for the independent samples t-test (-1.709) is within the range of the critical t-value at α = 0.05 and df = 55. Therefore, we fail to reject the null hypothesis, indicating no significant difference in anxiety levels between bullies and victims.

To determine the exact answer, we can perform a two-sample t-test to compare the means of the bully group and the victim group. The formula for the t-test statistic is:

t = (x₁ - x₂) / √((s₁² / n1) + (s₂² / n₂))

Where

x₁ and x₂ are the sample means of the bully group and victim group, respectively.

s₁ and s₂ are the sample standard deviations of the bully group and victim group, respectively.

n₁ and n₂ are the sample sizes of the bully group and victim group, respectively.

Given the following data:

Bully group: n₁ = 30, x₁ = 21.5, s₁ = 10

Victim group: n₂ = 27, x₂ = 25.8, s2 = 9

Let's calculate the t-test statistic:

t = (21.5 - 25.8) / √((10² / 30) + (9² / 27))

Calculating the values within the square root

t = (21.5 - 25.8) / √((100 / 30) + (81 / 27))

= (21.5 - 25.8) / √(3.333 + 3)

Now, evaluating the square root and simplifying further:

t = (21.5 - 25.8) / √(6.333)

= (21.5 - 25.8) / 2.516

Finally, computing the numerator and denominator:

t = -4.3 / 2.516

≈ -1.709

Therefore, the exact value of the t-test statistic is approximately -1.709.

To compare the calculated t-value (-1.709) with the critical t-value at a significance level of α = 0.05 with a two-tailed test, we need to determine the degrees of freedom (df) first.

The degrees of freedom (df) for the independent samples t-test is given by the formula:

df = n₁ + n₂ - 2

In this case, n₁ = 30 (number of bullies) and n2 = 27 (number of victims). Therefore:

df = 30 + 27 - 2

df = 55

Next, we need to find the critical t-value from the t-distribution table or a statistical software for a two-tailed test at α = 0.05 and df = 55.

For a two-tailed test at α = 0.05 and df = 55, the critical t-value is approximately ±2.004.

Since the calculated t-value (-1.709) is within the range of the critical t-value (-2.004 to 2.004), we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that there is a significant difference in anxiety levels between bullies and victims.

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If the probability density function of a continuous random variable X is f(x) = a + bx^2 if 0 ≤ x ≤ 1 and 0 otherwise, the values of a and b are a = 15/8 and b = 3/4.

The expected value of X is given by:

E(X) = ∫xf(x)dx from 0 to 1

Substituting the given probability density function, we get:

E(X) = ∫x(a + bx^2)dx from 0 to 1

Evaluating the integral, we get:

E(X) = [a/2 x^2 + b/4 x^4] from 0 to 1

E(X) = (a/2 + b/4) - 0

Since the probability density function integrates to 1 over the entire range of X, we know that:

∫f(x)dx from 0 to 1 = 1

Substituting the given probability density function, we get:

∫(a + bx^2)dx from 0 to 1 = 1

Evaluating the integral, we get:

(a + b/3) - 0 = 1

a + b/3 = 1

We can now use the given value of E(X) to solve for a and b:

E(X) = 3/5 = a/2 + b/4

3/5 = a/2 + b/4

6/5 = 2a/2 + b/4

6/5 = a + b/4

Solving the system of equations, we get:

a + b/3 = 1

a + b/4 = 6/5

Subtracting the first equation from the second, we get:

b/12 = 1/5

b = 12/5

Substituting b into the first equation, we get:

a + (12/5)/3 = 1

a + 4/5 = 1

a = 15/8

Therefore, the values of a and b are a = 15/8 and b = 3/4.

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Answer:

The number is 270

Step-by-step explanation:

Let the number be 'x'

3/5 of x = 162

\(\frac{3}{5}*x = 162\\\\x=162*\frac{5}{3}\\\\x=54 * 5\\\\x = 270\)

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{270}}}}}\)

Step-by-step explanation:

Let the number be 'x'

\( \sf{ \frac{3}{5 } \: \: of \: x \: = 162}\)

⇒\( \sf{ \frac{3x}{5} = 162}\)

Apply cross product property

⇒\( \sf{3x = 162 \times 5}\)

Multiply the numbers

⇒\( \sf{3x = 810}\)

Divide both sides of the equation by 3

⇒\( \sf{ \frac{3x}{3} = \frac{810}{3} }\)

Calculate

⇒\( \sf{x = 270}\)

Hope I helped!

Best regards!!

In order to solve the system of equations, let's equate both values of y and solve for x using the quadratic formula:

Now, let's calculate the values of y for each value of x:

Therefore the solutions are (1, 7) and (5/2, 10).

Correct option: second one.

Answer:

C. StartRoot x Endroot + 3 = 13

Step-by-step explanation:

the x variable under the root is what makes it a radical. all of the others dont have an x variable under the root. hope this helps !

Answer:

The last option

Step-by-step explanation:

You can tell by looking at the title of the x-axis. The domain is all x-values. So, the domain are the number of months.

Answer:

B) She loses 150

C) Her profit per 50 meals= 2650

Step-by-step explanation:

B) If she caters no meals, X(number of meals she caters)=0

Substitute X=0 into the equation

⇒P=0-0-150 = -150

Since P is negative, She lost 150

C) X= 50

Substitute for x= 50

⇒ P = 2 (\(50^{2}\))- 44(50)-150

P=5000-2200-150

P= 2650

Her profit per catering 50 meals is 2650

If a taxicab charges $1.45 for the flat fee and $0.55 for each mile, then the inequality to determine the number of miles Ariel can travel if she has $35 to spend is m ≤ 61 where m represents the number of miles.

To determine the inequality, follow these steps:

Therefore, the maximum number of miles Ariel can travel is 61 miles.

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Answer:  2.345

Step-by-step explanation:

Let's convert the fractions to ones with the same denominator.  I picked 100:

1 15/100 = (115/100)

1/50  = 2/100

1.175 = 117.5/100

Now add them:

(115 + 2 + 117.5) = 234.5

234.5/100

2.345

Answer:

5x⁴

Step-by-step explanation:

10x⁸÷2x⁴=

5x⁴

Answer:

\(x {}^{2} + 5x + 6 \\ {x}^{2} + 3x + 2x + 6 \\ x(x + 3) + 2(x + 3) \\ (x + 3) (x + 2)\\ \\ ( {x}^{2} + x - 6) \\ {x}^{2} + 3x - 2x - 6 \\ x(x + 3) - 2(x + 3) \\ (x - 2)(x + 3) \\ \\ {x}^{2} - 9 \\ (x - 3)(x + 3) \\ \\ the \: hcf \: = (x + 3)\)

Answer:

174 m/s

Step-by-step explanation:

Formula: velocity = frequency x wavelength

V = 2 x 87

V = 174

Hope that helps!

Answer:

174

Step-by-step explanation:

Did the test

Depends on the specific data and coefficients of the quadratic regression model used.

The coefficient of determination, denoted as R-squared (R2), is used to calculate the percentage of variation in productivity explained by the quadratic regression model. R-squared is a statistical measure that represents the proportion of the variance explained by an independent variable or variables in a regression model for a dependent variable.

R-squared is calculated by comparing the total sum of squares (TSS) and the residual sum of squares (RSS):

TSS = Σ(y - ȳ)^2

RSS = (y - - x - b*x2)2.

where y is the actual productivity value, is the mean of the productivity values, x is the independent variable, and b are the quadratic regression model coefficients.

R-squared can be calculated using the formula:

R2 = 1 minus (RSS/TSS)

We can then convert R-squared to a percentage to get the percentage of variation in productivity explained by the quadratic regression model.

As a result, the answer to this question is dependent on the specific data and quadratic regression model coefficients used.

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Answer:

\(\frac{27y^6}{8x^{12}}\)

Step-by-step explanation:

1) Use Product Rule: \(x^ax^b=x^{a+b}\).

\((\frac{3x^{-5+2}{y^3}}{2z^0yx}) ^3\)

2) Use Negative Power Rule: \(x^{-a}=\frac{1}{x^a}\).

\((\frac{3\times\frac{1}{x^3} y^3}{2x^0yx} )^3\)

3) Use Rule of Zero: \(x^0=1\).

\((\frac{\frac{3y^3}{x^3} }{2\times1\times yx} )^3\)

4) use Product Rule: \(x^ax^b=x^{a+b}\).

\((\frac{3y^3}{2x^{3+1}y} )^3\)

5) Use Quotient Rule: \(\frac{x^a}{x^b} =x^{a-b}\).

\((\frac{3y^{3-1}x^{-4}}{2} )^3\)

6) Use Negative Power Rule: \(x^{-a}=\frac{1}{x^a}\).

\((\frac{3y^2\times\frac{1}{x^4} }{2} )^3\)

7) Use Division Distributive Property: \((\frac{x}{y} )^a=\frac{x^a}{y^a}\).

\(\frac{(3y^2)^3}{2x^4}\)

8) Use Multiplication Distributive Property:  \((xy)^a=x^ay^a\).

\(\frac{(3^3(y^2)^3}{(2x^4)^3}\)

9) Use Power Rule: \((x^a)^b=x^{ab}\).

\(\frac{27y^6}{(2x^4)^3}\)

10)  Use Multiplication Distributive Property:  \((xy)^a=x^ay^a\).

\(\frac{26y^6}{(2^3)(x^4)^3}\)

11) Use Power Rule: \((x^a)^b=x^{ab}\).

\(\frac{27y^6}{8x^12}\)

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Answer:

\(\displaystyle \frac{27y^{6}}{8x^{12}}\)

Step-by-step explanation:

\(\displaystyle \biggr(\frac{3x^{-5}y^3x^2}{2z^0yx}\biggr)^3\\\\=\biggr(\frac{3x^{-5}y^2x}{2}\biggr)^3\\\\=\frac{(3x^{-5}y^2x)^3}{2^3}\\\\=\frac{3^3x^{-5*3}y^{2*3}x^3}{8}\\\\=\frac{27x^{-15}y^{6}x^3}{8}\\\\=\frac{27y^{6}x^3}{8x^{15}}\\\\=\frac{27y^{6}}{8x^{12}}\)

Notes:

1) Make sure when raising a variable with an exponent to an exponent that the exponents get multiplied

2) Variables with negative exponents in the numerator become positive and go in the denominator (like with \(x^{-15}\))

3) When raising a fraction to an exponent, it applies to BOTH the numerator and denominator

Hope this helped!

The value of the integral ∫√(2) dx from 0 to 49 using the substitution x = 7tanθ is (7π√(2))/4.

To evaluate the integral ∫√(2) dx from 0 to 49, the substitution x = 7tanθ will be the most helpful.

Let's substitute x = 7tanθ, then find dx in terms of dθ:

\(x = 7tanθ\)

Differentiating both sides with respect to θ using the chain rule:

\(dx = 7sec^2θ dθ\)

Now, we rewrite the integral using the substitution\(x = 7tanθ and dx = 7sec^2θ dθ:\)

\(∫√(2) dx = ∫√(2) (7sec^2θ) dθ\)

Next, we need to find the limits of integration when x goes from 0 to 49. Substituting these limits using the substitution x = 7tanθ:

When x = 0, 0 = 7tanθ

θ = 0

When x = 49, 49 = 7tanθ

tanθ = 7/7 = 1

θ = π/4

Now, we can rewrite the integral using the substitution and limits of integration:

\(∫√(2) dx = ∫√(2) (7sec^2θ) dθ= 7∫√(2) sec^2θ dθ\)

\(= 7∫√(2) dθ (since sec^2θ = 1/cos^2θ = 1/(1 - sin^2θ) = 1/(1 - (tan^2θ/1 + tan^2θ)) = 1/(1 + tan^2θ))\)

The integral of √(2) dθ is simply √(2)θ, so we have:

\(7∫√(2) dθ = 7√(2)θ\)

Evaluating the integral from θ = 0 to θ = π/4:

\(7√(2)θ evaluated from 0 to π/4= 7√(2)(π/4) - 7√(2)(0)= (7π√(2))/4\)

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A family of asteroids parallel to the x-y plane are represented by the ids. As the 3 plot with an asteroid, grid craves.

Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other. Perpendicular lines are those that cross at a straight angle of 90 degrees. Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel. Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.

Given

Substitute V = k to determine the grid cells that correspond to V as a constant.

A family of asteroids parallel to the x-y plane are represented by the ids.

As the 3 plot with an asteroid, grid craves.

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The set of survey results that is most likely to show biased results for people who buy food at the mall is Lewie's survey.

Lewie's survey samples only every fifth person leaving the mall's main entrance, which means that it only captures a small percentage of the total number of mall visitors. Additionally, by only surveying people leaving the main entrance, Lewie's survey may not capture people who enter and exit the mall through other entrances or exits and may also miss those who don't leave the mall after buying food. As a result, Lewie's survey may not accurately represent the total number of people who buy food at the mall and may lead to biased results.

On the other hand, Kelvin's survey samples every other person leaving the food area. This method captures a larger percentage of the total number of people who buy food at the mall and is more likely to provide a more accurate representation of the total number of people who buy food at the mall.

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Answer:

A. Kelvin’s because he surveyed people leaving an area where food is sold

Step-by-step explanation:

Answer:

The first one at the top is correct why?

Step-by-step explanation:

because 2 times 2 is 4 times 4 is 16 and the u divide them so that's why it is right I hope I help u understa

The feature vector that generates the kernel K(x, x) = (x) - (x') is given by (x) = [x1, x2 + x3].

The formula for kernel is K(x, y) = φ(x) · φ(y) and the dot product of two vectors is defined as (x) · (y) = x^Ty where x^T denotes the transpose of x.

Therefore, we can expand the given kernel to: K(x, x') = φ(x) · φ(x')= [x1, x2 + x3] · [x1, x2 + x3]'= [x1, x2 + x3] · [x1, x2 + x3]= x1x1 + (x2 + x3)(x2 + x3) The correct option is (x) = [x1, x2 + x3]

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We can proved that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

Let's denote the vertices of the parallelogram as A, B, C, and D, with O as the midpoint of AC and BD.

First, we can see that triangles ABO and CDO are congruent by the Side-Side-Side (SSS) postulate, since they share side BD, and both have sides AB and CO of equal length due to O being the midpoint of BD. Therefore, angles AOB and COD are congruent, and we can denote their measure as θ.

Using the Law of Cosines in triangles ABO and CDO, we can express the squares of the diagonals AC and BD in terms of the sides of the parallelogram:

AC² = AB² + BC² - 2(AB)(BC)cosθ

BD² = AB² + BC² + 2(AB)(BC)cosθ

Adding these two equations together, we get:

AC² + BD² = 2(AB² + BC²)

which is the desired result. Therefore, we have shown that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

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Answer:

Below

Step-by-step explanation:

As I posted ....looks to be 147°

The calculated value of the length of EA in the diagram is 16.7 cm

The diagram is an illustration of similar triangles, and the length of EA can be calculated using the following proportional equation

EA/EC = BD/DC

Where

EC = 9 + 6 = 15 cm

BD = 10 cm

DC = 9 cm

Substitute the known values in the above equation, so, we have the following representation

EA/15 = 10/9

Multiply both sides of the equation by 15

This gives

EA = 15 * 10/9

Evaluate the equation

EA = 16.7

Hence, the length of EA in the diagram is 16.7 cm

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Answer:

1, 3, 6 = 61°

2, 4, 5, 7 = 119°

Answer:

m∠1 = 61°

m∠2 = 119°

m∠3 = 61°

m∠4 = 119°

m∠5 = 119°

m∠6 = 61°

m∠7 = 119°

Step-by-step explanation:

Ah transversals, a simple subject which was taught to be so complicated.

Basically its a complicated way of demonstrating parallelism and intersection of two straight lines.

m∠6 is equal to angle 61 due to a rule of vertical angle; basically the mirroring properties of two intersecting lines. If you'd like this subject broken down further leave me a comment.

Corresponding angles are ∠2 and ∠5, and ∠3 and 6∠. It's easier to visualize them on their own. To help with this I'll provide a cleaned-up visual.

They are equal to each other just as 61 is equal to m∠1

the 61 and the m∠5 will add up to 180 because straight lines are straight and 180 degrees.

Hope this helps

By the SAS congruence theorem, we can conclude that the triangle △MLQ ≅ △NPQ.

Congruent triangles are those that have the same size and shape. There are several congruence theorems that we can use to prove two triangles are congruent.

The given information tells us that MQ = NQ, and Q is the midpoint of LP. This means that Q is equidistant from M and N, which implies that MQN is an isosceles triangle. We also know that LM ≅ PN. Since Q is the midpoint of LP, we can conclude that MQ and NQ bisect angles LMP and PNL, respectively.

This is because the angle bisector of a triangle divides the opposite side into two segments that are proportional to the adjacent sides. Therefore, we have two triangles that share a common side MQN and have two pairs of congruent sides, LM ≅ PN and MQ = NQ.

The congruence theorem that we can use to prove △MLQ ≅ △NPQ is the SAS (Side-Angle-Side) congruence theorem. The SAS congruence theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

In this case, we can see that the sides MQN and LM ≅ PN are congruent, and the included angles QML and QNP are congruent because they are vertical angles.

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Complete Question:

Given: MQ = NQ; Q is the midpoint of LP; LM ≅ PN Triangles M L Q and N P Q are connected at point Q. A line is drawn from points M to N to form triangle M N Q. Which congruence theorem can be used to prove △MLQ ≅ △NPQ?

Answer:

\((f*g)(x) = x^4-7x^3\)

Step-by-step explanation:

\(f(x) = x-7\\g(x) = x^3\)

Multiplying both would make

\((f*g)(x) = x^4-7x^3\)

Answer:

Option D is correct.

A voluntary response error was made in this design. This type of sampling only targets those who are passionate about a specific act and call in to vote; it is not a good representation of the population.

Step-by-step explanation:

When humans are given the choice whether to participate in a survey like in this question, most often than not, the survey becomes biased.

This is because only the people or set of people who feel strongly the most about the subject matter of the poll will participate in the survey. This favours the group that disagrees as this group, if given the choice to express their opinion, will most likely be the set of people that will readily express their discontent.

Discontent is more visibly and strongly expressed in humans.

In order to remove this bias, people should have been chosen at random and their responses recorded.

Hope this Helps!!!

Answer:

the difference between these two numbers is 85.29

Answer: 85.29

Step-by-step explanation:

difference means to subtract

Answer:

Median

Step-by-step explanation:

It is symmetric so you have a much easier way to find the middle numbers.