help please and tysm to whoever does!!

Answer:

left handed

Step-by-step explanation:

Answer:

1) negative, the more miles it goes (x) and gallons remaining (y)

2) positive, more people(x) more cars (y)

3) no association, nothing about it goes hand in hand

The result of testing the given claim is; c) H₀: p = .5, Hₐ: p≠ .5; z = 0.8; Fail to reject H₀ at the 1% significance level

We are given;

Sample size; n = 100

Sample proportion; p' = 54/100 = 0.54

In general, population proportion is; p = 0.5

Thus;

The null hypothesis is, H₀: p = 0.5

Alternative hypothesis is; Hₐ: p ≠ 0.5

z-test statistic is defined as:

z = √[(p' - p)/(p(1 - p)/n)]

Plugging in the relevant values gives;

z = √[(0.54 - 0.5)/(0.5(1 - 0.5)/100)]

z = 0.8

From p-value from z-score calculator, we have;

p-value = 0.4237

The P-value is greater than the 1% level of significance. We fail to reject the null hypothesis at the 1% level of significance.

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Answer: it’s B, 0.031

Step-by-step explanation: edge 2021

If the jobs are sequenced according to the SLACK rule, Job A would be completed on day 12.

The SLACK rule involves calculating the slack time for each job, which is the difference between the due date and the completion time. The job with the least slack time is prioritized and scheduled first. In this case, the due dates for the jobs are as follows: Job A (12), Job B (15), Job C (17), Job D (10), and Job E (8).

Job A has a processing time of 8 days and a due date of 12, so the slack time is 12 - 8 = 4 days. Since Job A has the least slack time among all the jobs, it would be completed on day 12. Therefore, the answer is D. 12.

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A. The equation for the mass's vertical displacement over time is:

y(t) = A cos(4.1888t) - 8

B. the amplitude of the function is 0, which means that the mass does not oscillate with any vertical displacement above or below its equilibrium position. The period of the function is already determined to be T = 1.5 s.

A. To model the mass's vertical displacement relative to its equilibrium position over time, we can use a cosine function of the form:

y(t) = A cos(ωt) + B

where A is the amplitude, ω is the angular frequency, t is time, and B is the equilibrium position. Since the mass is initially pulled down 8 cm below its equilibrium position, we have B = -8 cm.

To determine the amplitude and angular frequency, we can use the fact that the mass oscillates from down to up to down again in 1.5 seconds. The period T of the motion is the time it takes for one complete oscillation, so T = 1.5 s. The angular frequency ω is related to the period by ω = 2π/T, so we have:

ω = 2π/T = 2π/1.5 ≈ 4.1888

Therefore, the equation for the mass's vertical displacement over time is:

y(t) = A cos(4.1888t) - 8

B. The amplitude of the function is the maximum displacement of the mass from its equilibrium position, which is equal to the absolute value of A. To find A, we can use the fact that the mass is pulled down 8 cm below its equilibrium position before being released. At the bottom of its motion, the mass is 8 cm below its equilibrium position, so we have:

y(0) = A cos(0) - 8 = -8

Solving for A, we get:

A = |y(0) + 8| = |(-8) + 8| = 0

Therefore, the amplitude of the function is 0, which means that the mass does not oscillate with any vertical displacement above or below its equilibrium position.

The period of the function is already determined to be T = 1.5 s.

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Answer: 1.666 is rational and 30 it's a whole number I think :/

Step-by-step explanation:

a) The profit when 90 units are sold is $25,712.50.

b) The average profit per unit when 90 units are sold is $285.72 per unit.

c) The rate at which profit is changing when exactly 90 units are sold is $-5.00 per unit.

a) To find the profit when 90 units are sold, we substitute x = 90 into the profit function P(x):

P(90) = -1.75(90)^2 + 1025(90) - 6000

P(90) = -1.75(8100) + 92250 - 6000

P(90) = -14175 + 92250 - 6000

P(90) = $25,712.50

b) To calculate the average profit per unit when 90 units are sold, we divide the total profit by the number of units:

Average Profit = P(90) / 90

Average Profit = $25,712.50 / 90

Average Profit = $285.72 per unit

c) The rate at which profit is changing when exactly 90 units are sold can be determined by taking the derivative of the profit function with respect to x and evaluating it at x = 90. This will give us the marginal profit per unit at that production level. Differentiating the profit function P(x) with respect to x, we get:

P'(x) = -3.5x + 1025

Now, substitute x = 90 into the derivative:

P'(90) = -3.5(90) + 1025

P'(90) = -315 + 1025

P'(90) = $-290.00 per unit

Therefore, the marginal profit at the production level of 90 thousand units is $-5.00 per unit.

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Answer:

Option D is correct

Step-by-step explanation:

\(x - 6 = 8 \\ x = 8 + 6 \\ x = 14\)

Answer:

Option D is correct

Step-by-step explanation:

\(x - 6 = 8 \\ x = 8 + 6 \\ x = 14\)

Answer:

13√(2) = x

Step-by-step explanation:

The given is an isosceles triangle so the two side lenghts are same (13 units)

in right triangles the square lenght of the hypotenus is equal to sum of two side's square lenght

13^2 + 13^2 = x^2

169 + 169 = x^2

338 = x^2

13√(2) = x

Answer:

p₁ = 0.98 p₀

p₂ = 0.98 p₁

Step-by-step explanation:

Given - N 2008 price of houses were declining by 2% each year.

             If a house was purchased for $195,000.

To find - Write the equation that models the situation.

Proof -

Let us assume that

p₀ = initial price of house

p₁ = price of house after 1 year

p₂ = price of house after 2 years

Now,

Given that, p₀ = $195,000

Then,

p₁ = p₀ - 2% p₀

   = p₀( 1 - 2%)

   = p₀ ( 98%)

⇒p₁ = 98% p₀

⇒p₁ = \(\frac{98}{100}\) p₀

⇒p₁ = 0.98 p₀

Now,

Also p₂ = p₁ - 2% p₁

By doing the same process as above, we get

p₂ = 0.98 p₁

Answer:

\(\frac{3}{4}\) = the slope

Step-by-step explanation:

you have a slope formula to do this problem and you need to learn how to use it.  Watch me.

\(m = \frac{y_{2 - y_{1} } }{x_{2} - x_{1} }\)

m = \(\frac{-12 - (-18)}{-2 - (-10)}\)

   = \(\frac{-12 + 18}{-2 + 10}\)

   =  \(\frac{6}{8}\)

   = \(\frac{3}{4}\)

The speed of the plane in still air is 304.76 mph and the speed of the wind is 38.09 mph.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Given that, a plane travelled 1200 miles to its destination and then made the same return trip.

Let x be the speed of the plane and y be the speed of the wind, both in miles per hour.

On its way to the destination, the plane takes 3.5 hours to travel 1200 miles. So the speed of the plane along with the tailwind is

1200/3.5

= 342.85 mph

Then, x+y =342.85 -------(I)

While flying back, it takes 4.5 hours to cover the same distance. So the speed of the plane against the headwind is

1200/4.5

= 266.67

So, x-y = 266.67-------(II)

Add equation (I) and (II), we get

2x=342.85+266.67

2x=609.52

x=304.76 mph

Substitute x=304.76 in equation (I), we get

y=38.09 mph

Therefore, the speed of the plane in still air is 304.76 mph and the speed of the wind is 38.09 mph.

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The exponential regression equation that was obtained from the graphing calculator is y = 7.355 * (10.579)ˣ

The correct option is D.

Step 1: Exponential regression equation:

The exponential regression equation provided by the graphing calculator is given as:

where the values of a and b represent the coefficients in the equation, and x represents the independent variable.

Step 2: The information that was returned by the calculator is;

a = 7.354734813

a = 7.355 rounded to 3 decimal places

b = 10.57922764

b = 10.579 rounded to 3 decimal places

Step 3:

Substituting the values of a and b in the exponential regression equation  by the graphing calculator;

the exponential regression equation is:

y = 7.355 * 10.579ˣ rounded to 3 decimal places

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Answer:

last one

Step-by-step explanation:

By using the concept of probability, it can be calculated that -

Probability that a two-card hand from a standard deck of 52 cards contains exactly 2 face cards (a face card is a king, queen, or jack) = \(\frac{11}{221}\)

What is probability?

At first it is important to know about probability of an event.

Probability gives us the information about how likely an event is going to occur.

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Number of face card = 12

Total number of cards = 52

Probability that a two-card hand from a standard deck of 52 cards contains exactly 2 face cards (a face card is a king, queen, or jack) = \(\frac{{12 \choose 2}}{{52 \choose 2}}\)

                                                                                                = \(\frac{66}{1326}\)

                                                                                                = \(\frac{11}{221}\)

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The given fractions have equal value, so Liam is correct.

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

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The width of the rectangle is 12 feet and the length is 30 feet.

The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape.

Given that, The perimeter of a rectangle is 84 feet. The ratio of the width to the length is 2:5.

Let the width be 2x and length be 5x,

Perimeter = 2(l+w)

2(2x+5x) = 84

2x+5x = 84/2

2x+5x = 42

7x = 42

x = 42/7

x = 6

Therefore, width = 6x2 = 12

Length = 5x6 = 30

Hence, The width of the rectangle is 12 feet and the length is 30 feet.

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This theorem states that:

\(a^2+b^2=c^2\)

In this diagram, notice how there are two smaller triangles that create the large triangle.

To find a and b, we can look at the two small triangles instead of seeing everything as a whole.

Let the top triangle be Triangle A and the bottom triangle be Triangle B.

Solve for a using the Pythagorean theorem:

\(a^2+b^2=c^2\\12^2+6^2=a^2\\a=\sqrt{12^2+6^2}\\a=13.42\)

Solve for b using the Pythagorean theorem:

\(a^2+b^2=c^2\\6^2+3^2=b^2\\b=\sqrt{6^2+3^2}\\b=6.71\)

a = 13.42

b = 6.71

The correct answer is E) have a relatively consistent point on both the dominance and sociability continuums.

The quadrant model of communication styles is based on the assumption that all people have a relatively consistent point on both the dominance and sociability continuums. This means that people tend to have a preferred communication style that is characterized by a particular combination of dominance and sociability. However, this does not mean that people fit into four discrete, unchanging categories that can be easily assessed by others. In fact, the quadrant model recognizes that people's communication styles can vary depending on the situation, and that individuals may shift from one quadrant to another depending on the context.

Therefore, options A, B, C, and D are incorrect.

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No triangle can be constructed with the mentioned sides of  measuring 5 m, 16 m, and 5 m.

There is possibility of only one triangle can be possibly constructed with sides measuring 5 m, 16 m, and 5 m.

In order to form a triangle,  the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 5 + 5 = 10, which is less than 16.  So it is clear that violates the basic principle to form a triangle.

Therefore, from the above statements it can be concluded that these three mentioned sides of triangle i.e. 5 m, 16 m, and 5 m, cannot form a triangle. So, the answer is zero.

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Answer:

(-5,6)

Step-by-step explanation:

G(-5,4)=(x1,y1)

H(-5,8)=(x2, y2)

midpoint=?

now,

(x,y)= x1+x2/2     y1+y2/2

         -5-5/2        4+8/2

           -10/2          12/2

             -5              6

therefore the co ordinates of midpoint are(-5,6)

No, this is not a valid inference based solely on the means of the two books.

While the mean can be a useful measure of central tendency, it does not give the full picture of the data. In this case, there could be a lot of variability in the number of words on each page in both books, which could affect the overall number of words in each book.

For example, consider the following hypothetical scenarios:

The art book has an average of 500 words per page, but the number of words on each page ranges from 100 to 1000. The science book has an average of 400 words per page, but the number of words on each page ranges from 200 to 600. In this case, the art book would have more words per page on average, but the science book could still have more total words depending on the number of pages in each book.

The art book has an average of 500 words per page, but there are only 10 pages in the book. The science book has an average of 400 words per page, but there are 100 pages in the book. In this case, the art book would have fewer total words than the science book, even though it has more words per page on average.

Therefore, it is not a valid inference to conclude that the art book has more words per page based solely on the mean number of words on each page. We would need more information about the variability and number of pages in each book to make a valid comparison.

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Answer:

The surface area of cube = 6 side2

According to the question,

Let the side of the cube be x

Each side of the cube increased by 50%.

= x(100 + 50)/100 = 1.5x

The surface area of the cube

⇒6x²

The new surface area of the cube (side = 1.5x)

⇒ 6 × 2.25x²

Increase percentage in the surface area

⇒((6 x 2.25 x²-6x²)/6 x² }× 100

⇒ 125%

Answer:

4.75 or 4 3/4

Step-by-step explanation:

Simple, 9 1/8- 4 3/8 first you want to take away 1 from 9 and add 8/8 to 1/8 because 8/8 is 1 whole once you done this you want to do 8 9/8-4 3/8 and get 4 6/8 now simplify by 2 and get 4 3/4.

The marginal cost at x = 6 is estimated to be $106 and the marginal revenue at x = 6 is estimated to be $0.

a. To find the marginal cost (dC/dx) at x = 6, we need to first find the derivative of the cost function C with respect to x. The given cost function is:

C(x) = x^2 + 94x + 55

Now, let's find the derivative: dC/dx = 2x + 94

Now, we need to evaluate dC/dx at x = 6:

dC/dx(6) = 2(6) + 94

dC/dx(6) = 12 + 94

dC/dx(6) = 106

The marginal cost at x = 6 is estimated to be $106.

b. To find the marginal revenue (dR/dx) at x = 6, we need to first find the derivative of the revenue function R with respect to x.

The given revenue function is:

R(x) = \(893(x-6)^2 + 30\)

Now, let's find the derivative:

dR/dx =\(2 * 893(x-6) * 1\)

Now, we need to evaluate dR/dx at x = 6:

dR/dx(6) = \(2 * 893(6-6) * 1\)

dR/dx(6) = \(2 * 893(0) * 1\)

dR/dx(6) = 0

The marginal revenue at x = 6 is estimated to be $0.

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the radius of convergence is 1 and the interval of convergence is (1, 3) in terms of x-values.

To determine the radius of convergence, we can use the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1 as n approaches infinity, then the series converges. Applying the ratio test to the given series, we have:

lim(n->∞) |((x - 2)^(n+1)/(n+1)) / ((x - 2)^n/n)| < 1

Simplifying the expression, we get:

lim(n->∞) |(x - 2)n+1 / (n+1)(x - 2)^n| < 1

Taking the absolute value and rearranging, we have:

lim(n->∞) |x - 2| < 1

This implies that the series converges when |x - 2| < 1, which gives us the interval of convergence. The radius of convergence is the distance between the center of the series (x = 2) and the nearest point where the series diverges, which in this case is 1.

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a) X is an unbiased estimator of p. b) The Var(X) is p(1-p)/n. c) The E[X(1-X)] is (n-1)[p(1-p)/n]. d) The value of c is c = 1/(n-1).

(a) To show that X = Y/n is an unbiased estimator of p, we need to show that E[X] = p.

Since Y is a sum of n iid Bern(p) random variables, we have E[Y] = np.

Now, let's find the expected value of X:

E[X] = E[Y/n] = E[Y]/n = np/n = p.

Therefore, X is an unbiased estimator of p.

(b) To find the variance of X, we'll use the fact that Var(aX) = a^2 * Var(X) for any constant a.

Var(X) = Var(Y/n) = Var(Y)/n² = np(1-p)/n² = p(1-p)/n.

(c) To show that E[X(1-X)] = (n-1)[p(1-p)/n], we expand the expression:

E[X(1-X)] = E[X - X²] = E[X] - E[X²].

We already know that E[X] = p from part (a).

Now, let's find E[X²]:

E[X²] = E[(Y/n)²] = E[(Y²)/n²] = Var(Y)/n² + (E[Y]/n)².

Using the formula for the variance of a binomial distribution, Var(Y) = np(1-p), we have:

E[X²] = np(1-p)/n² + (np/n)² = p(1-p)/n + p² = p(1-p)/n + p(1-p) = (1-p)(p + p(1-p))/n = (1-p)(p + p - p²)/n = (1-p)(2p - p²)/n = 2p(1-p)/n - p²(1-p)/n = 2p(1-p)/n - p(1-p)²/n = [2p(1-p) - p(1-p)²]/n = [p(1-p)(2 - (1-p))]/n = [p(1-p)(1+p)]/n = p(1-p)(1+p)/n = p(1-p)/n.

Therefore, E[X(1-X)] = E[X] - E[X²] = p - p(1-p)/n = (n-1)p(1-p)/n = (n-1)[p(1-p)/n].

(d) To find the value of c such that cX(1-X) is an unbiased estimator of p(1-p)/n, we need to have E[cX(1-X)] = p(1-p)/n.

E[cX(1-X)] = cE[X(1-X)] = c[(n-1)[p(1-p)/n]].

For unbiasedness, we want this to be equal to p(1-p)/n:

c[(n-1)[p(1-p)/n]] = p(1-p)/n.

Simplifying, we have:

c(n-1)p(1-p) = p(1-p).

Since this should hold for all values of p, (n-1)c = 1.

Therefore, the value of c is c = 1/(n-1).

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We have to set ∠AMN equal to ∠D.

What are angles?

In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral angles.

Label the rows (A nearest the screen, through G at back) and the seat numbers (starting with 1 on the far left of the diagram) and count towards the right.

The seat is not equal to 1 and will align to point D.

Viewing angle is in terms of another angle

Set ∠AMN equal to ∠D.

Hence, we have to set ∠AMN equal to ∠D.

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