Question 2 Roderigo offers Janice a 'limited edition" crocodile vintage Mior bag at an extremely cheap price. Roderigo tells Janice that the handbag is authentic and that this offer is a rare one. Janice is excited about purchasing the bag as she has heard that only seven (7) of these bags exist. Janice purchases the bag from Roderigo, however a month later an authenticator in Durban confirms that the bag is a replica of the original. 2.1 2.2 2.3 Based on the above a breach of contract between Janice and Roderigo has occurred. What defense can Janice use to cancel the contract entered into with Roderigo? Discuss this defense fully. (You are required to apply the defense to the scenario provided) Discuss fully what Janice must prove for her defence to be regarded as successful? Janice wishes to understand the term 'breach" You are required to discuss FIVE (5) types of breach of contract that are recognised by South African Courts. (7 marks) (8 marks) (10 marks)

The data analyst should use a bar chart for the visualization that makes it easy to show which of the top ten most populous cities in North Carolina have a population below 250,000 people.

A bar chart is a graph that represents categorical data with rectangular bars.

The height or length of the bars is proportional to the values they represent.

The bars can be plotted either horizontally or vertically based on the data being presented.

They are frequently used to compare values across different categories by plotting the categories along the horizontal axis and the values along the vertical axis.

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Answer:

if im not mistaken its..A

Step-by-step explanation:

Single line that is the same distance from the parabola as the focus is from the parabola is Axis.

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.

As, A locus is a set of points satisfying a given condition.

and, The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry.

Also, The directrix is perpendicular to the axis of symmetry of a parabola and does not touch the parabola.

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.

Thus, by considering the above definition we can say that the line that is the same distance from the parabola as the focus is from the parabola is Axis.

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I hope the above may help you:)

\( \: \)

Answer:

b) –3(2)

Step-by-step explanation:

–3(2)

= –3 x 2

= –6

A 95% confidence interval is wider than a 90% confidence interval and so provides a better estimate of the population mean.

A confidence interval represents the range of values within which the population mean is estimated to lie with a certain degree of confidence. The wider the interval, the more certain we can be that the population mean lies within it. In other words, a 95% confidence interval provides a better estimate of the population mean than a 90% interval because it is wider and therefore more likely to contain the true population mean.

This increased accuracy is particularly important for the city in their budget planning as it allows them to make more informed decisions based on a more reliable estimate of their expected daily income from parking fees.

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The area of each of the missing faces is 40 m².

The length of each of the missing faces is 10 m.

The missing dimension is 10 m by 4 m.

Area is the region bounded by a plane shape.

To calculate the area of each missing face, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

And the length of each of the missing edge can be calculated using the formula below

Formula:

Where:

From the diagram in the question,

Given:

Substitute into equation 2

Hence, the length is 10 m.

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When comparing two sample means, we can safely reject the null hypothesis if the calculated test statistic exceeds the critical value corresponding to the chosen significance level.

In hypothesis testing, when comparing two sample means, we typically perform a t-test or z-test depending on the characteristics of the data and assumptions. The null hypothesis assumes that there is no significant difference between the means of the two samples.

To determine whether we can reject the null hypothesis and conclude that there is a significant difference, we calculate a test statistic. The specific test statistic (t or z) depends on factors such as sample size and whether population parameters are known.

Next, we compare the calculated test statistic to the critical value. The critical value is determined based on the chosen significance level (commonly denoted as α). If the calculated test statistic exceeds the critical value, we reject the null hypothesis, indicating that there is evidence to support a significant difference between the two sample means.

The significance level determines the threshold for rejecting the null hypothesis and is typically set at 0.05 (5%) or lower, depending on the desired level of confidence.

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The required equation would be t  = (nRT + 5ab)/M which is the result of the equation for t.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given as

Mt - 5ab = nRT

We have to determine the result of solving this equation for t

⇒ Mt - 5ab = nRT

⇒ Mt  = nRT + 5ab

⇒ t  = (nRT + 5ab)/M

Therefore, the required equation would be t  = (nRT + 5ab)/M which is the result of the equation for t.

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Answer:

Location of a Fire Fire tower A is 30 kilometers due west of fire tower B. A fire is spotted from the towers, and the bearings from A and B are N76°W and N56°W respectively (see figure). Find the distance d of the fire from the line segment AB.

Hope this helped :)

Step-by-step explanation:

In this case, 114.098 rounds up to 115 when rounded to the nearest whole number. Thus, James needs 115 one-gallon jugs to hold all of the soda.

To find the total volume of soda in gallons, we first need to convert the total volume of soda from liters to gallons. We can use the conversion factor 1 gal = 3.785 L.

So, we start by multiplying the number of 2-liter bottles by 2 to get the total volume of soda in liters:

216 x 2L = 432 L

Then, we can convert this value to gallons by dividing by the conversion factor:

432 L / 3.785 L/gal = 114.098 gal

Since we can't have a fraction of a jug, we need to round up to the nearest whole number of jugs. In this case, 114.098 rounds up to 115 when rounded to the nearest whole number.

Therefore, James needs 115 one-gallon jugs to hold all of the soda.

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Answer:

Comment section got full

that is why it's not letting you comment.

The smallest p-value is always associated with the z-score that is furthest away from the mean. This is because the tails of the normal distribution curve have less area and thus represent smaller p-values. The correct answer is option (d) z = -3.24.

In a hypothesis test, there are two hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1).

The null hypothesis is the one we're testing, while the alternative hypothesis is the one we're trying to support or prove.

A two-tailed alternative hypothesis is one in which we are interested in whether a parameter is not equal to a certain value, as opposed to one-tailed alternative hypotheses, in which we are interested in whether the parameter is greater than or less than a certain value.

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The function θ : p(z) → p(z) defined as θ(x) = x is injective and surjective, therefore bijective.

The function θ(x) = x takes an element x from the set p(z) and returns the same element x. This means that for any input x in p(z), the function simply returns x as the output.

To determine whether θ is injective, we need to check if distinct inputs produce distinct outputs. In this case, since the function θ simply returns the input element x, it is evident that if two different elements are provided as input, they will always produce different outputs. Thus, θ is injective.

To assess the surjectivity of θ, we need to determine if every element in the codomain p(z) has a corresponding preimage in the domain p(z). In this scenario, since the function θ returns the same element x that is provided as input, it covers all elements in p(z). Therefore, for any given element in the codomain, there exists a preimage in the domain. Hence, θ is surjective.

Since the function θ is both injective and surjective, it is bijective. This means that for every input element x, there is a unique output element x, and every element in the codomain p(z) has a corresponding preimage in the domain p(z).

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Answer:

3.25

Step-by-step explanation:

total 18.25 - 2.00 tip = 16.25

16.25/5=3.25

Answer:(2.5,5)

Step-by-step explanation: Just find the average of those 2 x’s or those 2 y’s

Similarly, there are 10 choices for the first number, 9 choices for the second number, and 8 choices for the third number. Therefore, the total number of possibilities is\(26 × 25 × 24 × 23 × 22 × 10 × 9 × 8 = 14,776,320\) possibilities.

Fundamental Counting Principle and how to count with and without replacement.The Fundamental Counting Principle (FCP) states that if there are m ways to perform an event and n ways to perform a second event, then there are m × n ways to perform both events. For example, suppose there are 2 shirts, 3 pants, and 4 pairs of shoes in your closet. Using the FCP, you can calculate the number of outfit combinations: 2 × 3 × 4 = 24.If you are allowed to use characters more than once (with replacement), the number of different possibilities for a password can be calculated by multiplying the number of choices for each character type. There are 26 lowercase letters, so there are 26 choices for the first letter, 26 choices for the second letter, and so on. Similarly, there are 10 digits, so there are 10 choices for each number.

Therefore, the total number of possibilities is \(26 × 26 × 26 × 26 × 26 × 10 × 10 × 10 = 26^5 × 10^3 = 11,881,376,000\) possibilities.If you may only use each letter or number one time, then you cannot repeat any choices. Therefore, the number of possibilities is reduced. There are 26 choices for the first letter, 25 choices for the second letter (since one has already been used), and so on.

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Answer:

The answer is 4

The length of the curve x = 1/3 √y (y − 3)  is 64/3.

The distance between two point along a segment of a curve is known as the arc length.

The equation of the curve is given by:

x = 1/3 √y (y − 3), 16 ≤ y ≤ 25

Length of the curve y = f(x) between point  x =a to x = b is given by:  

\(\int\limits^b_a {\sqrt{1+[f'(x)]^2} } \, dx\)

 √1 + [f′(x)]2 dx.

x = 1/3 √y (y − 3)

x = 1/3 * \(y^\frac{3}{2}\) - \(y^\frac{1}{2}\)

Let's find the first derivative of x.

dx/dy = 1/3. 3/2.  \(y^\frac{1}{2}\)- 1/2 .  \(y^\frac{1}{2}\)

dx/ dy = 1/2 ( \(y^\frac{1}{2}\) - \(y^\frac{-1}{2}\))

(dx/dy)^2= 1/4 (  \(y^\frac{1}{2}\) - \(y^\frac{-1}{2}\))^2

= 1/4(y + \(y^-^1\)-2)

1 + {f′(x)}2 = 1 + 1/4(y +\(y^-^1\)-2)

= 1/4 y + 1/4\(y^-^1\)+ 1/2

1 + {f′(x)}2= 1/4 (y + \(y^-^1\) + 2)

√[1 + {f′(x)}2] = 1/2 (  \(y^\frac{1}{2}\) +  \(y^\frac{-1}{2}\))

Length of curve  is given by:  

25

∫   \(\frac{\sqrt{y} }{2} +\frac{1}{2\sqrt{y} }\) dy

16

= \(\left \{ {{y=25} \atop {x=16}} \right.\) [\(y^\frac{3}{2}\)/3 + √y]

= [(25)3/2 /3 + √25] - [(16)3/2 /3 + √16]

= [125/3 + 5] - [64/3 + 4]

= 140/3 - 76/3

= (140 - 76)/3

= 64/3

So the length of the curve is 64/3

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Answer:

15

1

yes

Step-by-step explanation:

took the thingy on edge 2020

Answer:

agree with the other person

Step-by-step explanation:

To get an analogous equation, use the distributive property with 21n-28p+42.

Equivalent has a number of popular synonyms, including equal, identical, similar, selfsame, and extremely. While all of these phrases refer to anything that is "not distinct from one another" or "not diverging from another," equivalent denotes being equal in value or importance. two homes with comparable market values.

Use the distributive property

7(3n-4p+6)

7(3n - 4p + 6)

21n - 28p + 42

Use the distributive property to an equivalent expression is 21n-28p+42.

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Answer:

a lot

Step-by-step explanation:

If the overall percentage of defective panels from the two plants was 2%, then the number of panels did plant B produce is 2000

Let's assume that plant B produced x panels.

The number of defective panels produced by plant A is 1% of 4000, which is 0.01 x 4000 = 40 panels.

The number of defective panels produced by plant B is 4% of x, which is 0.04x panels.

The total number of defective panels produced by both plants is 2% of the total number of panels produced, which is 0.02 (4000 + x) panels.

Therefore, we can write the equation

40 + 0.04x = 0.02 (4000 + x)

Simplifying and solving for x, we get

40 + 0.04x = 80 + 0.02x

0.02x = 40

x = 2000

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The given question is incomplete, the complete question is:

Two factory plants are making tv panels. Yesterday, plant A produced 4000 panels. One percent of the panels from plant A & 4% of the panels from plant B were defective. How many panels did plant B produce, if the overall percentage of defective panels from the two plants was 2%?

The above obtained relation can be used to find df(0) / dz as we now have df/dr (dr/dz) evaluated at z=0. Thus,df(0) / dz = 2 * 0 / (-dx - 2jdx) = 0. Hence, the required solution is df(0) / dz = 0.

Given complex function is f(z) = x2 + jy2. We are supposed to find df(0) / dz.Solution:To find df(0) / dz, we need to first find f(z) as a function of z. Since, f(z) = x2 + jy2, we have, f(z) = |z|2. Now, we have, |z|2 = (x+iy) (x-iy) = x2 + y2 = r2. Differentiating this with respect to z, we get,df / dz (|z|2) = df / dz (r2) = 2r dr/dz. Now, we need to find dz. This can be found using the following relation, dz = dx + jdy.

Thus, we have,dz = dx + jdy = 1/2 (dz + d\bar{z}) + j 1/2 (dz - d\bar{z}) = (dx - dy)/2 + j (dx + dy)/2. 

Therefore,

df/dz = df/dr (dr/dz)

= 2r / (dx - dy - 2jdx). T

he above obtained relation can be used to find df(0) / dz as we now have df/dr (dr/dz) evaluated at z=0.

Thus, df(0) / dz = 2 * 0 / (-dx - 2jdx) = 0. Hence, the required solution is df(0) / dz = 0.

To find df(0) / dz, we need to first find f(z) as a function of z.

Since, f(z) = x2 + jy2,

we have, f(z) = |z|2.

Now, we have, |z|2 = (x+iy) (x-iy) = x2 + y2 = r2.

Differentiating this with respect to z, we get,

df / dz (|z|2) = df / dz (r2) = 2r dr/dz. 

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Answer: 24 days

Step-by-step explanation:

Takes her 4 days to read 1/2 of a 200 page book, or 100 pages.

4 days = 100 pages

X days = 600 pages

24 days = 600 pages

Answer:

                \(\dfrac{1}{30}\)

Step-by-step explanation:

6 symbols and 4-symbol code so number of combinations wich doesn't contain the same symbol twice would be:

6•5•4•3 = 360

If code starts with a star followed by triangle that means only one posibility for first two symbols and code doesn't containing the same symbol twice means that left 4 symbols for next two.

So number of combinations of code starting with a star followed by triangle and doesn't containing the same symbol twice will be:

1•1•4•3 = 12

The probability that a randomly chosen code starts with a star followed by triangle and doesn't contain the same symbol twice:

\(\dfrac{1\cdot1\cdot4\cdot3}{6\cdot5\cdot4\cdot3}=\dfrac{1\cdot1}{6\cdot5}=\dfrac{1}{30}\)