PLEASE HELP W/ MATH PROBLEM

No, f is not continuous at x=-3. To show this, let's take the limit from both sides.

From the left side, the limit of f(x) as x approaches -3 is 5. From the right side, the limit of f(x) as x approaches -3 is 3. Since the two limits are not equal (5≠3), then f is not continuous at x=-3.No, f is not continuous at x=-3. This is because the limit of f(x) as x approaches -3 does not equal f(-3). The limit of f(x) can be calculated using the formula lim x->-3 f(x) = lim x->-3 (x^2 + 9). Calculating this limit, we get lim x->-3 f(x) = lim x->-3 (x^2 + 9) = 9. However, f(-3) = (-3)^2 + 9 = 0, which does not match the limit.

Mathematically, this can be shown using the following:

limx→−3 f(x) = 5 ≠ 3 = limx→−3+ f(x)

Since the two limits are not equal, then f is not continuous at x=-3.

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(a) The fraction of poodles with weights over 9.5 kilograms is about 0.0475

(b) The fraction of poodles with weights of at most 8.6 kilograms is about 0.7486

(c) The fraction of poodles with weights between 7.3 and 9.1 kilograms inclusive is about 0.6488

We can solve this problem using the standard normal distribution, which has a mean of 0 and a standard deviation of 1. We'll first standardize the given values using the formula

z = (x - μ) / σ

where z is the standard score, x is the given value, μ is the mean, and σ is the standard deviation.

(a) To find the fraction of poodles with weights over 9.5 kilograms, we standardize 9.5 kg as follows

z = (9.5 - 8) / 0.9

z = 1.67

Using a standard normal distribution table or calculator, we find that the area to the right of z = 1.67 is approximately 0.0475. Therefore, the fraction of poodles with weights over 9.5 kg is about 0.0475

(b) To find the fraction of poodles with weights of at most 8.6 kilograms, we standardize 8.6 kg as follows

z = (8.6 - 8) / 0.9

z = 0.67

Using a standard normal distribution table or calculator, we find that the area to the left of z = 0.67 is approximately 0.7486. Therefore, the fraction of poodles with weights of at most 8.6 kg is about 0.7486 or 74.86%.

(c) To find the fraction of poodles with weights between 7.3 and 9.1 kilograms inclusive, we standardize both values

z1 = (7.3 - 8) / 0.9

z1 = -0.78

z2 = (9.1 - 8) / 0.9

z2 = 1.11

Using a standard normal distribution table or calculator, we find the area to the left of z1 is approximately 0.2177 and the area to the left of z2 is approximately 0.8665. Therefore, the area between z1 and z2 is

0.8665 - 0.2177 = 0.6488

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If the minimum wage rate is $10 per hour and each domestic worker worked 40 hours for five days in November 2016, they should be paid a total minimum wage of $2000 for the week.

To calculate the total minimum wage that each domestic worker should be paid for five days in November 2016, we need to consider the minimum wage rate and the number of hours worked.

First, we need to know the minimum wage rate for domestic workers during that period. The minimum wage can vary depending on the country, state, or region. Without specific information about the location, we cannot provide an accurate amount. However, I can explain the calculation process using a hypothetical minimum wage rate.

Let's assume that the minimum wage rate for domestic workers in November 2016 is $10 per hour.

Each domestic worker worked a total of 40 hours for five days. So, the total hours worked for the week is:

40 hours/day * 5 days = 200 hours

To calculate the total minimum wage for the week, we multiply the total hours worked by the minimum wage rate:

Total minimum wage = 200 hours * $10/hour = $2000

Therefore, if the minimum wage rate is $10 per hour and each domestic worker worked 40 hours for five days in November 2016, they should be paid a total minimum wage of $2000 for the week.

It's important to note that the actual minimum wage rate and labor regulations may differ based on the specific location and the applicable laws during that time. To get the accurate minimum wage calculation, it is necessary to consult the labor laws and regulations of the specific jurisdiction in question.

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Answer:

P and Q add up to 90°.

Step-by-step explanation:

9x2 +3x2 = 12x2

12x2-3y-2

There are 57 different ways a person can vote for the regional judges.

To determine the number of different ways a person can vote for regional judges, we can use the concept of combinations. In this case, we want to find the number of ways to choose a certain number of judges from a total of 6 candidates.

Since voters can choose to vote for 0, 1, 2, 3, or 4 judges, we need to find the sum of all the possible combinations for each number of judges.

For choosing 0 judges, there is only one possible combination (choosing none).

For choosing 1 judge, there are 6 possible combinations (choosing one out of the six candidates).

For choosing 2 judges, there are \(C(6, 2) = 15\) possible combinations. This is calculated using the combination formula, which  \(C(n, r)\)represents the number of combinations of choosing r items from a set of n items.

For choosing 3 judges, there are \(C(6, 3) = 20\) possible combinations.

For choosing 4 judges, there are \(C(6, 4) = 15\) possible combinations.

To find the total number of different ways a person can vote, we sum up the number of combinations for each scenario:

\(1 + 6 + 15 + 20 + 15 = 57\)

Therefore, there are 57 different ways a person can vote for the regional judges.

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Answer: 12

Step-by-step explanation:

Answer:

-1 , -24

Step-by-step explanation:

x*2 + x +24x +24

x(x+1) 24(x+1)

(x+24) (x+1)

x=-24. x=-1

Answer:  (x+24)(x+1)

Step-by-step explanation:

Factor means to find 2 thing that multiply to the thing before.

x² + 25x + 24

In order to factor you need to find 2 numbers that multiply to the last term, +24 but adds to the middle term, +25.

24 and 1 multiply to +24 but also adds to +25

24 and 1 are you factor numbers that you will use to put into factored form.

(x+24)(x+1)

The result of the normal probability distribution being bell-shaped is that the mean, median, and mode are at the center.

This means that the center of the bell-shaped curve represents the most likely occurrence of the data and that the values are symmetrically distributed around the mean.

The mean, median, and mode of a normal distribution are equal, which means that they are all located at the center of the bell-shaped curve. This is an important characteristic of the normal distribution and sets it apart from other distributions where the mean, median, and mode may not be equal.

In a normal distribution, the area on each side of the mean does not equal 1.00, but rather approaches 1.00 as the curve becomes more symmetrical. The height of the curve at the mean represents the highest probability of occurrence, and the probabilities decrease as the values deviate from the mean.

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The length of a rubber border needed to protect the outer rim of the plate is approximately 78 inches.

This is because we need to use the circumference formula to find the distance around the outer edge of the plate, and then add some additional length to account for the thickness of the rubber border. Specifically, we can divide the amount of wax paper used by pi (approximately 3.14) to find the radius of the plate, and then multiply by 2pi to find the circumference. Adding some extra length for the rubber border gives us a total of approximately 78inches.

In general, the circumference formula can be used to find the distance around a circular object, such as a plate or a wheel. The formula is

C = 2pi*r

where C is the circumference, pi is a constant value approximately equal to 3.14, and r is the radius of the circle

Here radius is

r = (√1519.76)/π

as πr² = 1519. 76

C = 2πr

= 2√1519.76

= 77.97

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As domain x approaches positive infinity, S(x) approaches positive infinity. Option B is correct.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Given expression for the attendance of the student is,
S(x) = (x - 50)² + 19

The end behavior of their graph is given as after x = 50 the graph starts heigh increasing gradient and it keeps increasing, till x =  infinity, as shown in the graph.

Thus, the curve of the given equation S(x) will increase from x = 50 to x = ∞ .

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1. The one who will keep his phone for a long time will choose the operator A, the one who will keep his phone for a short time will choose the operator C, and the operator B is an intermediate choice.

Fixed costs are outlays that don't change no matter how much is produced or sold. Rent, salary, and insurance are a few examples of fixed costs. Contrarily, variable costs are expenses that vary according to the volume of production or sales. The costs of labour, commissions, and raw materials are a few examples of variable costs. Because they must be paid regardless of the volume of production or sales, fixed expenses are frequently referred to as "sunk costs," in contrast to variable costs, which are closely related to income and are simpler to control.

1. The one who will keep his phone for a long time will choose the operator A, the one who will keep his phone for a short time will choose the operator C, and the operator B is an intermediate choice.

2. Let us suppose number of months = X.

Thus,

For Operators A and B:

120 + 20X = 40 + 25X

5X = 16

X = 3.2

For Operators B and C:

40 + 25X = 10 + 30X

X = 6

Hence, Operator C is the best option for someone who intends to keep the phone for less than 3.2 months. Operator B is the ideal option for someone who intends to keep the phone for 3.2 to 6 months. Operator A is the greatest option for someone who intends to keep the phone for more than six months.

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Answer:

x=16

y=-6

Step-by-step explanation:

Answer: So the area of the square is 100 while the sides are all equal to 10 leaving a perimeter of 40 since the square has 4 sides so 4*10=40

Step-by-step explanation: So for this questions you want to look at the bigger picture and what I mean by that is the larger square BHFD outside of square ACEG right. So if you look carefully you'll see 4 triangles labeled something like ABC, AHG, CDE, and GEF. using these triangles and there sides we can solve for the hypotenuse which is also the side of the square ACEG and since all the triangles have the same dimensions we only need to solve for one of them. So using pythagorean theroem 8^2+6^2=c^2 where in this case c = a side of the square ACEG so c = 10. Now that we have the sides all equal 10 the area or length times width = 10*10=100. Hope it helps :)

The required number of children and adults for sitting in the theater are 300 and 50 respectively.

A equation is supposed to be linear equation in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an a and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight equation in two factors.

Let be consider number of children be x and that of adults is y.

We have,

x + y = 350-------(1)

y = 350 - x

And 5x + 10y = 2000------------------(2)

Put value of y in equation (2)

5x + 10( 350 - x) = 2000

5x + 3500 - 10x = 2000

-5x = -1500

x = 300

Then

y = 350 - x = 350 - 300 = 50

Thus, There will be 300 children and 50 adults in the  theater .

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Answer:

Its Simple All the angles in a triangle adds up to 180°

Step-by-step explanation:

∠A + ∠ B + ∠C = 180° NO matter what. You can also use this in inverse If you have two out of three angles then you can add the two angles you have and subtract the from 180 to get the measurement of the 3rd angle.

Hope this helps

CALCULATE THE AREA

=LENGTH X BREADTH

=6M X 1M

\(6 {m}^{2} \)

NOW CHANGE THE METRES TO MILLIMETRES

=1000MM=1M

SO,IF 1M=1000MM

THEN 6M=MORE

IF MORE LESS WILL DIVIDE

GIVING YOU

\( \frac{6}{1} \times 1000mm\)

\(6000mm\)

Answer:

4th option, x = -1 and x = 9

Step-by-step explanation:

3(x-4)²=75

or, (x-4)²=25

or, x²-8x+16-25=0

or, x²-8x-9=0

or, x²-9x+x-9=0

or, x(x-9)+1(x-9)=0

or, (x-9)(x+1)=0

so, x-9=0 or, x=9

and x+1=0 or, x=-1

The two solutions of the quadratic equation are:

x = -1 and x = 9

The quadratic equation is:

3*(x - 4)^2 = 75

We can expand it as:

3*x^2 - 3*2*4*x + 3*16 = 75

3x^2 - 24x  -27 = 0

Now, using Bhaskara's formula we get:

\(x = \frac{-(-24) \pm \sqrt{(-24)^2 - 4*3*(-27)} }{2*3} \\\\x = \frac{24 \pm 30 }{6}\)

So the two solutions are:

x = (24 + 30)/6 = 9

x = (24 - 30)/6 = -1

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In a supermartingale , the current variable (\(X_{t}\)) is an overestimate for the upcoming \(X_{t + 1}\).

A sequence of random variable (\(X_{t}\)) adapted to a filtration (\(F_{t}\)) is a martingale (with respect to (\(F_{t}\))) if  all the following holds for all t :

(i)   E|\(X_{t\)| < ∞

(ii) E[ \(X_{t + 1}\)|\(F_{t}\)] = \(X_{t}\)

If instead of condition (ii) we have E [\(X_{t + 1}\)|\(F_{t}\)]  ≥ \(X_{t}\) for all t , we then say that (\(X_{t}\))  is submartingale with respect to (\(F_{t}\)).

If instead of condition (ii) we have E [ \(X_{t + 1}\) | \(F_{t}\)] ≤\(X_{t}\) for all t , we then say that (\(X_{t}\)) is supermartingale with respect to (\(F_{t}\)).

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The primary reason that the standard deviation is preferred to the variance is because the standard deviation is the most widely used measure of center.

Standard deviation and variance are two fundamental mathematical concepts that play an important role in everything from accounting to economics to investing in finance. Both use the average of a set of numbers to measure the variability of numbers in a data set. They are important to help determine volatility and return distributions. But there are inherent differences between the two. The standard deviation measures the square root of the variance, which is the average of each point from the mean.

(1) Standard deviation measures the distance between numbers in a set of data. The variance, on the other hand, gives the true value of the difference between the numbers in the data set and the mean.

(2) The standard deviation is the square root of the variance, expressed in the same units as the data set. Variance can be expressed as a square unit or as a percentage (especially in financial terms).

(3) The standard deviation can be greater than the variance because when the variance is less than one (1.0 or 100%).

(4) When the deviation is greater than 1 (such as 1, 2, or 120%), the standard deviation is less than the deviation.

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The return value of the function call round(3.14159, 3) is c. 3.14. The round function rounds the first argument (3.14159) to the number of decimal places specified in the second argument (3). In this case, it rounds to 3.14.

The function call in your question is round(3.14159, 3). The "round" function takes two arguments: the number to be rounded and the number of decimal places to round to. In this case, the number to be rounded is 3.14159 and the desired decimal places are 3.

The return value is the result of the rounding operation. In this case, rounding 3.14159 to 3 decimal places gives us 3.142.

So, the correct answer is:

b. 3.142

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The correct answer here is the numbers are statistics because the numbers were calculated from a sample of city University of New York students and are estimates.

The collection, organisation, analysis, interpretation, and presentation of data are the main topics of study in statistics. When applying statistics to a scientific, industrial, or social problem, it is typical to start with a statistical population or a statistical model that will be studied.

Various groupings of people or things can be referred to as populations, such as "each person living in a country" or "each atom making up a crystal."

Statistics covers every aspect of data, including the planning of data collection in terms of the design of surveys and experiments.

In the absence of a census, statisticians create specialised experiment designs and survey samples to collect data. A representative sample guarantees that generalisations and inferences to the total population from the sample are valid.

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Answer:

5/\(\sqrt{2}\)

Step-by-step explanation:

This is an isosceles triangle, which means the hypotenuse is the product of one of the legs and the squareroot of 2. Since the hypotenuse is 5, the legs must be 5/\(\sqrt{2}\).

Answer: 335

Step-by-step explanation:

20% = 0.2

450 x .2 = 90

450 - 90 = 360

360 - 25 = 335

A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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