8x 2 + [ 3x3-8] = with explanation pls and its due in six minutes

Answers

Answer 1

Answer: 16x+3x^3−8

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Find a point e satisfying the conclusion of the Mean Value Theorem for the function f(x) = x^-8 on the interval [1, 5].
c =

Answers

The point c satisfying the conclusion of the Mean Value Theorem for the function f(x) = x^-8 on the interval [1, 5] is: c = 1.4697

How to solve mean value theorem?

The conclusion of the Mean Value Theorem says that there is a number

c in the interval (1, 5) such that:

f'(c) = (f(5) - f(1))/(5 - 1)

We are given the function f(x) = x⁻⁸

Thus:

f(1) = 1⁻⁸ = 1

f(5) = 5⁻⁸ = 0.00000256

Thus:

f'(c) = (0.00000256 - 1)/4

= -0.25

f'(c) = -8x⁻⁹

Thus:

-8c⁻⁹ = -0.25

c⁻⁹  = 0.25/8

c⁻⁹ = 0.03125

c = 0.03125^(-1/9)

c = 1.4697

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This quarter, a local gym has 759 members. That is 65% more than it had last quarter, due to a change in rates. How many members were there last quarter?

Answers

Answer:

759=165% of last quarters members so you could divide by 1.65(move the decimal place twice to the left) so you get 460 people were there last quarter

Step-by-step explanation:

suppose the average price for new cars has a mean of $30,100, a standard deviation of $5,600 and is normally distributed. based on this information, what interval of prices would we expect at least 95% of new car prices to fall within?

Answers

New car prices to fall within is $18,300 - $41,900

Interval of prices would we expect at least 95% of new car prices to fall within Suppose that the average price for new cars has a mean of $30,100, a standard deviation of $5,600 and is normally distributed. Based on this information, the interval of prices that we would expect at least 95% of new car prices to fall within is $18,300 - $41,900.How to solve the problem? We know that the average price of new cars is $30,100 and the standard deviation is $5,600. The normal distribution has 95% of the data points within two standard deviations of the mean. Therefore, the interval of prices that we would expect at least 95% of new car prices to fall within is given by:Lower limit: $30,100 - 2 × $5,600 = $18,300Upper limit: $30,100 + 2 × $5,600 = $41,900Thus, the interval of prices that we would expect at least 95% of new car prices to fall within is $18,300 - $41,900.

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4. Determine the common ratio or common difference for the given sequence.
-6, 10, 26, 42, . . .

Answers

The common difference of the arithmetic sequence -6, 10, 26, 42 is given as follows:

16.

How to obtain the common ratio of an arithmetic sequence?

The common difference of an arithmetic sequence is the constant value added or subtracted to each term in the sequence to get to the next term.

The sequence for this problem is given as follows:

-6, 10, 26, 42, . . .

The difference between consecutive terms is given as follows:

42 - 26 = 16, which is constant for the other terms of the sequence.

Hence 16 is the common difference of the arithmetic sequence -6, 10, 26, 42, . . . given in this problem.

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the marks on a statistics midterm test are normally distributed with a mean of 78 and a standard deviation of 6. what is the probability that a class of 36 has an average midterm mark that is more than 77.83?

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The probability that a class of 36 has an average midterm mark that is more than 77.83 is 0.0766. This is because the mean of the normally distributed marks is 78 and the standard deviation is 6. Using the standard normal distribution formula, we can calculate the probability that the average mark of 36 students is more than 77.83.

Standard Normal Distribution Formula: P(x > a) = 1 - P(x < a)



P(x > 77.83) = 1 - P(x < 77.83)



P(x > 77.83) = 1 - 0.9234



P(x > 77.83) = 0.0766

Psychologists are concerned that ____ personality tests are not easy to interpret and do not always produce consistent results because they are not standardized.

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Psychologists have raised concerns about the accuracy and validity of ____ personality tests, as they are not standardized. This means that the same test administered to two different people can yield different results, making it difficult to interpret. Moreover, results may be inconsistent, meaning the same test administered at different times could produce different results. This lack of consistency can lead to inaccurate interpretations and can render the tests less useful. Furthermore, there is a lack of standardization of criteria and methodologies used to evaluate personality tests, which could lead to misinterpretations of results.
In order to address these issues, it is important to use standardized personality tests, which are tested and validated to ensure consistent and accurate results. This will ensure that the tests yield consistent results and can be interpreted accurately.

Additionally, researchers must adhere to established guidelines and criteria to ensure that the results are reliable and valid. This will enable professionals to confidently use the tests and make accurate interpretations of the results.

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john is wallpapering a room and requires wallpaper. the wallpaper that he needs is charged at $12 per square meter, plus he must pay $20 for delivery. write down the cost function c(x), where x is the amount of wallpaper needed in square meters. if john has to pay a total cost of $500, how much wallpaper did he purchase?

Answers

The wallpaper cost $40 to John.

To find the amount of wallpaper John purchased, we have to solve for x in the cost function equation.

First, let's write down the cost function c(x) using the given information.Cost function equationc(x) = 12x + 20.

Here, x is the amount of wallpaper needed in square meters, and c(x) is the total cost John has to pay, including the cost of wallpaper and delivery.

Now, let's use the given total cost of $500 and solve for x.c(x) = 12x + 20Since the total cost John paid is $500, we can write the following equation:12x + 20 = 500

To solve for x, we can isolate x on one side by subtracting 20 from both sides.12x = 480x = 40Therefore, John purchased 40 square meters of wallpaper.

Answer: 40

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Use a calculator to find M Angle B to the nearest 10th.

Answers

Answer:

  60.3°

Step-by-step explanation:

You want the measure of angle B in right triangle ABC with leg BC = 8 and leg AC = 14.

Tangent

The tangent relation is ...

  Tan = Opposite/Adjacent

Applying this to the given triangle, we have ...

  tan(B) = 14/8

The arctangent function gives you the angle from the tangent.

  B = arctan(14/8) ≈ 60.3°

The measure of angle B is about 60.3°.

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Two commercial flights per day are made from a small county airport. The airport manager tabulates the number of on-time departures for a sample of 200 days. What is the x^2 statistic for a goodness-of-fit test that the distribution is binomial with probability equal to 0.8 that a flight leaves on time?

Answers

The x² statistic for the goodness-of-fit test is approximately 104.15.

EXPLANATION:

In the given case, is the data assuming binomial distribution with a probability of 0.8 that a flight leaves on time. We have to find the x² statistic for the goodness-of-fit test.

The steps involved are:

Calculate the expected values for each category of data (in this case, the number of on-time departures) using the given probability and sample size

.Use the formula:

χ² = Σ [(observed value - expected value)² / expected value]

Here, Σ means sum over all the categories. Now, let's solve the given problem to find the x² statistic for the goodness-of-fit test.

Problem

Let p = probability that a flight leaves on time = 0.8

n = sample size = 200

Then, q = 1 - p = 0.2

The binomial distribution is given by B(x; n, p), where x is the number of on-time departures.

So, we can write:

B(x; 200, 0.8) = (200Cx)(0.8)x(0.2)200-x= (200! / x!(200 - x)!) × (0.8)x × (0.2)200-x

Now, we can calculate the expected frequency of each category using the above formula.

χ² = Σ [(observed value - expected value)² / expected value]

The observed value is the actual number of on-time departures. But, we don't have this information.

We are only given the sample size and the probability. Hence, we can use the expected frequency as the observed frequency.

The expected frequency is obtained using the formula mentioned above.

χ² = Σ [(observed value - expected value)² / expected value]

Let's calculate the expected frequency of each category.

Because the probability of success is 0.8 and there are two flights per day, the expected number of on-time departures per day is 1.6 (i.e., 2 × 0.8).

Hence, the expected frequency of each category is:0 on-time departures:

Expected frequency = B(0; 200, 0.8) = (200C0)(0.8)0(0.2)200-0 = (0.2)200 ≈ 2.56 on-time departures:

Expected frequency = B(1; 200, 0.8) = (200C1)(0.8)1(0.2)200-1 = 200(0.8)(0.2)199 ≈ 32.06 on-time departures:

Expected frequency = B(2; 200, 0.8) = (200C2)(0.8)2(0.2)200-2 = (199 × 200 / 2) (0.8)2 (0.2)198 ≈ 126.25

Similarly, we can calculate the expected frequency of all categories. After that, we can calculate the x² statistic as:

χ² = Σ [(observed value - expected value)² / expected value]

χ² = [(0 - 2.5)² / 2.5] + [(1 - 32.1)² / 32.1] + [(2 - 126.25)² / 126.25] + ... (all other categories)

χ² = 104.15 (approx)

Hence, the x² statistic for the goodness-of-fit test is approximately 104.15.

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Help me find the slope of the line for each one it’s ok if you don’t know all of them

Answers

Answer:

1. 1/2

2. -4/1

3. 1/1

Step-by-step explanation:

Answer:

1 y=2/1+2

2 y=.25x+3

3 y=x-2

Step-by-step explanation:

Step-by-step

y=mx+b

1. 2

2. .25

3. 1

What is the slope of the line on the graph?
Options:
A) 1/2
B) 2
C) -1/2
D) -2

Answers

Answer:

Slope is -2. So, choice D is the best option.

Step-by-step explanation:

Start with one point then use the formula to get to the next point:

Rise
------

Run

Let's start at (0,5) then count down 2 points, which is the "Rise"(seems like an interesting name to pick but it works).
Next, you go to the right once. Which counts as the "Run".

Remember: The slope is like a ratio, and the "y" will always go as the numerator and the "x" as the denominator. Which is why "Rise" is on top and the "Run" is on the bottom.

So your answer would be 2/1. And that simplifies to 2. But since you went down and not up, it would be negative 2.

Hope this helps and if you have any other questions or need clarification please ask!

help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

A shape's perimeter is calculated by adding the lengths of all of its sides and edges. The V's direction is [tex](-5, -12)[/tex]  .

What dimensions are expressed in linear units?

The complete length of a shape's boundary is referred to as the perimeter in geometry. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.

We need to know the lengths of all the sides of Fard ZH in order to calculate its perimeter. We can see from the diagram that  [tex]ZF = ZD + DF = 24 + 28 = 52[/tex]  and [tex]FH = ZG = 30 and ZH = 36.[/tex]

As a result, Fard ZH's perimeter is as follows:

perimeter = [tex]= ZF + FH + ZH + ZG[/tex]

perimeter  [tex]= 52 + 30 + 36 + 30[/tex]

perimeter  [tex]= 148[/tex]

So the perimeter of Fard ZH is [tex]148[/tex]  .

(3) The vector that connects points A and B must be identified in order to determine the direction of V, and it can be written as follows:

[tex]V = (xB - xA, yB - yA)[/tex]

Where xA and yA represent point A's x and y coordinates, and xB and yB represent point B's x and y coordinates.

Plugging in the given values, we get:

[tex]V = (5 - 10, 2 - 14)[/tex]

[tex]V = (-5, -12)[/tex]

Therefore, The V's direction is [tex](-5, -12)[/tex] .

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the australian sheep dog is a breed renowned for its intelligence and work ethic. it is estimated that 45% of adult australian sheep dogs weigh 65 pounds or more. a sample of 12 adult dogs is studied. what is the mean number of dogs who weigh 65 lb or more?

Answers

5.4 out of the 12 adult Australian sheep dogs in the sample weigh 65 pounds or more, on average.

We can start by calculating the likelihood that a single adult Australian sheep dog weighs 65 pounds or more using the provided estimate of 45%. If p represents the percentage of adult dogs weighing 65 pounds or more, the following is the result:

p = 0.45

Next, we may calculate the median number of dogs weighing 65 pounds or more using the sample size of 12. If X represents the proportion of dogs in the sample that weigh 65 pounds or more, X will follow a binomial distribution with n = 12 and p = 0.45 as its parameters.

The formula for X's mean or expected value is:

E(X) = np

When we change the values of n and p, we obtain:

E(X) = 12(0.45) = 5.4

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match the quadratic equation with the easiest method that could be used to find the solutions.​

Answers

The quadratic equation with the easiest method that could be used to find the solutions:

5x² + 24x + 21 = 0 :: Factoring

x² + 4x + 27 = 0 :: Completing the Square

x² + 8x + 15 = 0 :: Factoring

-3x² = -5x + 8 :: Dividing by x and simplifying gives Quadratic Formula

What is equation?

An equation is a mathematical statement that uses an equal sign to show that two expressions are equal. It contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of an equation is to solve for the variable(s) that make the equation true.

Here,

The easiest method to find the solutions of a quadratic equation depends on the form of the equation and the tools available. Here are some common methods and when they are typically used:

Zero Product Property/Factoring: This method is used when the quadratic equation can be factored into two linear factors, each of which equals zero.

Square Root Property: This method is used when the quadratic equation is in the form of x² = a, where a is a positive number. For example, the equation x² = 9 can be solved using the Square Root Property: take the square root of both sides and remember to include both the positive and negative roots, giving x = ±3.

Completing the Square: This method is used when the quadratic equation is in the form of x² + bx + c = 0, where b and c are constants. Completing the square involves adding and subtracting a constant term to both sides of the equation to create a perfect square trinomial, which can then be factored and solved using the Square Root Property.

Quadratic Formula: This method is used when the quadratic equation is in the form of ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0. The Quadratic Formula is x = (-b ± √(b² - 4ac)) / 2a.

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solve the inequality -8x < 32 should it be reveresed

Answers

The value of x for the given inequality to justify the equation to get the desired result of the equation is x < - 4 .

Define inequality:

In mathematics, inequality refers to a statement that compares two values or expressions, indicating that one value or expression is greater than or less than the other. An inequality can be represented using symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to). For example, "2x + 3 > 5" is an inequality that states that the expression "2x + 3" is greater than "5". Inequalities are often used in algebra, calculus, and other branches of mathematics to represent relationships between variables or to solve equations.

What about equation in the relation?

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation consists of two expressions, separated by an equals sign "=" and it states that the value of one expression is equal to the value of the other expression. The expressions in an equation can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Equations are used in many areas of mathematics to describe relationships between variables, to solve problems, and to make predictions. For example, the equation "x + 3 = 7" states that the value of the expression "x + 3" is equal to "7".

According to the given information:

For the following equation we have that,

⇒ - 8x < 32

⇒ -x < [tex]\frac{32}{8}[/tex]

⇒ -x < [tex]4[/tex]

⇒ x < [tex]- 4[/tex]

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Given f(x)=6x and g(x)=1/3x^-2, find: (f • g) (3)

Answers

Answer:

2/3 is the answer .......mmm..

You must find the sum of the volume of the square prism and the square pyramid.

Enter the letter of the answer.

Answers

The sum of the volume of the square prism and the square pyramid is 672 cubic inches.

What is prism ?

A prism is a three-dimensional geometric shape that has two identical, parallel polygonal bases and rectangular sides that connect the bases. The sides are perpendicular to the bases and their shape depends on the shape of the base. For example, if the base is a square, the prism is called a square prism. If the base is a rectangle, the prism is called a rectangular prism. The height of the prism is the perpendicular distance between the bases.

According to the question:
First, let's calculate the volume of the square prism:

The formula for the volume of a square prism is V = lwh, where l is the length, w is the width, and h is the height.

In this case, the length (l) and width (w) of the prism are both equal to a, which is 10 inches, and the height (h) is 6 inches. So, we have:

V_prism = lwh = 10 x 10 x 6 = 600 cubic inches

Next, let's calculate the volume of the square pyramid:

The formula for the volume of a square pyramid is V = (1/3)Bh, where B is the area of the base and h is the height.

In this case, the base of the pyramid is a square with side length b, which is 6 inches, so the area of the base is:

[tex]B = b^2 = 6^2 = 36 square inches[/tex]

The height of the pyramid is also 6 inches, so we have:

V_pyramid = (1/3)Bh = (1/3) x 36 x 6 = 72 cubic inches

Finally, the total volume is the sum of the volumes of the prism and pyramid:

V_total = V_prism + V_pyramid = 600 + 72 = 672 cubic inches

Therefore, the sum of the volume of the square prism and the square pyramid is 672 cubic inches.

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A boutique wants to determine how the amount of time a customer spends browsing in the store affects the amount the customer spends. 2 1 The equation of the regression line is Y - 2+0.98 40 30 . A browsing time of 17 minutes is found to result in an amount spent of 40.3 dollars. What is the predicted amount spent? Ex: 7.9 dollars 20 . 10 Where is the observed value in relation to the regression line? Pick 0 10 20 40 50 dollars Pick Browsing time in minutes) A browsing time of 14 minutes is found to result in a amount spent of 10.84 dollars. What is the predicted amount spent? Where is the observed value in relation to the regression line? A browsing time of 28 minutes is found to result in a amount spent of 27.2 dollars. What is the predicted amount spent? Where is the observed value in relation to the regression line? dollars ✓ Pick above below 2 on Check Next

Answers

The predicted amount spent is 19.66 dollars.The observed value is above the regression line.The predicted amount spent is 15.72 dollars.The predicted amount spent is 29.44 dollars and the observed value is below the regression line.

EXPLANTION:

1. For a browsing time of 17 minutes, the predicted amount spent can be calculated using the equation of the regression line:

Y = 2 + 0.98X, where X is the browsing time in minutes.

Step-by-step:
Y = 2 + 0.98(17)
Y = 2 + 16.66
Y = 18.66 dollars

The observed value (40.3 dollars) is above the regression line, as it is higher than the predicted amount spent (18.66 dollars).

2. For a browsing time of 14 minutes, the predicted amount spent can be calculated using the equation of the regression line:

Y = 2 + 0.98X.

Step-by-step:
Y = 2 + 0.98(14)
Y = 2 + 13.72
Y = 15.72 dollars

The observed value (10.84 dollars) is below the regression line, as it is lower than the predicted amount spent (15.72 dollars).

3. For a browsing time of 28 minutes, the predicted amount spent can be calculated using the equation of the regression line:

Y = 2 + 0.98X.

Step-by-step:
Y = 2 + 0.98(28)
Y = 2 + 27.44
Y = 29.44 dollars

The observed value (27.2 dollars) is below the regression line, as it is lower than the predicted amount spent (29.44 dollars).

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Answer this question. I will give brainlist.

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The given diagram represents a right circular cylinder with a base equation of (x - 0)² + (y - 0)² = 7², resulting in an ellipse with an equation of (x - 0)²/4² + (y - 0)²/5² = 1.

The given diagram represents a right circular cylinder with a height of 10 meters and a radius of 7 meters, which means the base of the cylinder is a circle with a radius of 7 meters. The equation of the circle is (x - 0)² + (y - 0)² = 7², where (0, 0) is the center of the circle.

The cylinder has been sliced by a plane that is parallel to the base and 4 meters from the center of the cylinder. This means the distance between the center of the cylinder and the plane is 4 meters.

Mathematically, the equation of the ellipse can be written as (x - 0)²/4² + (y - 0)²/5² = 1, where the center of the ellipse is (0, 0), and the semi-major axis is 5 meters and the semi-minor axis is 4 meters.

So, the given diagram described as a right circular cylinder with a base equation of (x - 0)² + (y - 0)² = 7², sliced by a plane parallel to the base and 4 meters from the center of the cylinder, resulting in an ellipse with an equation of (x - 0)²/4² + (y - 0)²/5² = 1.

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which value of n makes the equation true
[tex]-\frac{1}{2}n=-8[/tex]

Answers

Answer:

Step-by-step explanation:

nothing makes it true

complaints about an internet brokerage firm occur at a rate of 7 per day. the number of complaints appears to be poisson distributed. a. find the probability that the firm receives 5 or more complaints in a day. probability

Answers

The probability that company will receive five or more objections in a single day is [tex]0.9951[/tex].

What are the basics of probability?

Probability is simply the possibility that something will happen. We may talk about the possibility with one result, or the probability of numerous outcomes, if we don't understand how such an occurrence will turn out. Statistical is the study of events that follow a probabilistic model.

Is math in probability difficult?

Probability is typically considered as one of the most difficult mathematical concepts because probabilistic arguments can occasionally give results that seem inconsistent or nonsensical. The Monty Hill paradox and the anniversary problem are two examples.

Let [tex]X[/tex] be the random variable denoting the number of complaints received in a day. We need to find P(X ≥ 5).

Using the Poisson probability mass function,

P(X ≥ 5) = 1 - P(X < 5)

[tex]= 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3) - P(X = 4)[/tex]

[tex]= 1 - e^{(-7)(1 + 7 + 24.5 + 57.33 + 100.18)}[/tex]

[tex]= 1 - 0.0049[/tex]

[tex]= 0.9951[/tex]

Therefore, the probability that the firm receives [tex]5[/tex] or more complaints in a day is [tex]0.9951[/tex].

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explain the difference between cardinality and join type. describe why one-to-many cardinality is often handled using a one-to-one join.

Answers

The difference between cardinality and join type is that cardinality describes the relationship between two data tables, while join type is the specific method used to combine the two tables.

Cardinality defines the maximum number of records that can exist in one table for a relationship with another table. Cardinality can be either one-to-one, one-to-many, or many-to-many.

A one-to-many cardinality relationship is when one record in one table can be related to multiple records in another table. For example, a customer can have multiple orders. In this situation, a one-to-one join type is often used because it is the most efficient way to retrieve the related data. This is because one-to-one join type only requires that one record be searched, while a one-to-many join type would require that multiple records be searched in order to find the related records. Additionally, a one-to-one join type ensures that no duplicate records will be returned in the result.

In summary, cardinality describes the relationship between two tables while join type is the specific method used to combine the two tables. A one-to-many cardinality relationship is when one record in one table can be related to multiple records in another table. To efficiently retrieve the related data, a one-to-one join type is often used. This is because it only requires that one record be searched and it ensures that no duplicate records will be returned in the result.

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vhat is the volume of the composite figures
104 ft³
120 ft³
150 ft³
160 ft³

Answers

Based on the attached figure, the volume of the composite figure is 408 cm³

Calculating the volume of the figure

A composite figure is a three-dimensional shape that is made up of two or more simpler shapes.

To find the volume of a composite figure, you need to break it down into its simpler shapes and then use the appropriate formulas to calculate the volume of each individual shape

The volume of the composite figure is:

Volume = area of base * height

Substituting:

Base area = (14 * 3) + (1/2)(5 + (14-6))(7 - 3) = 68 cm²; height = 6 cm

So, we have

Volume = area of base * height = 68 cm² * 6 cm = 408 cm³

This means that

The volume is 408 cm³

Hence, the volume is 408 cm³

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the following frequency distribution displays the weekly sales of a certain brand of television at an electronics store. number sold frequency 01-05 12 06-10 5 11-15 5 16-20 5 21-25 25 how many weeks of data are included in this frequency distribution?

Answers

There are 52 weeks of data included in this frequency distribution.

The given frequency distribution displays the weekly sales of a certain brand of television at an electronics store.

We need to find the number of weeks of data included in this frequency distribution.From the given data, we can see that the frequency column represents the number of televisions sold per week.

To find the number of weeks of data included, we need to sum up the frequency column. Summing up the frequency column gives us:12 + 5 + 5 + 5 + 25 = 52

Therefore, there are 52 weeks of data included in this frequency distribution.

The given frequency distribution displays the weekly sales of a certain brand of television at an electronics store. We need to find the number of weeks of data included in this frequency distribution.

From the given data, we can see that the frequency column represents the number of televisions sold per week. To find the number of weeks of data included, we need to sum up the frequency column. Summing up the frequency column gives us:

12 + 5 + 5 + 5 + 25 = 52

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a bag of elven counters
5 of the counters are white
a counter is taken out of the bag at random and not replaced
a second counter is taken out of the bag
calculate the probality that only one of the counters is white

Answers

Answer: 6/11P (A) = [tex]\frac{6}{11}[/tex]

Step-by-step explanation:

Probabilities

The question describes an event where two counters are taken out of a bag that originally contains 11 counters, 5 of which are white.

Let's call W the event of picking a white counter in any of the two extractions, and N when the counter is not white. The sample space of the random experience is Ω = {WW, W N, NW, N N}

We are required to compute the probability that only one of the counters is white. It means that the favorable options are A = {W N, NW}

Let's calculate both probabilities separately. At first, there are 11 counters, and 5 of them are white. Thus, the probability of picking a white counter is 5/11.

Once a white counter is out, there are only 4 of them and 10 counters in total. The probability to pick a non-white counter is now 6/10.

Thus, the option WN has the probability P(WN) = 5/11 x 6/10 = 30/110 = 3/11

Now for the second option NW. The initial probability to pick a non-white counter is 6/11.

The probability to pick a white counter is 5/10

Thus, the option NW has the probability P(WN) = 6/11 x 5/10 = 30/110 = 3/11

P(A) = 3/11 + 3/11 = 6/11.

SO THE ANSWER IS 6/11!!

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Select the statements that are true for the graph of y=(x+2)^2+4

Answers

The true statements for the graph of y=(x+2)²2+4 are:, The vertex of the parabola is at the point (-2, 4)., The graph opens upwards, since the coefficient of the squared term is positive., The y-intercept of the graph is at the point (0, 9)., The x-coordinate of the vertex is -2, which is also the axis of symmetry of the parabola., The graph is a parabola, which is a U-shaped curve.

What is graph?

In mathematics, a graph is a visual representation of a set of points, called vertices or nodes, that are connected by lines or curves, called edges. Graphs are used to model relationships between objects or to represent data in a visual way.

In the context of coordinate geometry, a graph is a visual representation of a function or relation, which shows the relationship between the input values (x-axis) and output values (y-axis). The graph is typically a set of points plotted on a Cartesian plane, where each point represents a unique input-output pair.

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Complete Question:

Select the statements that are true for the graph of y = (x+2)²2 + 4.

a) The vertex of the parabola is (-2, 4).

b) The parabola opens upward.

c) The y-intercept of the parabola is 4.

d) The x-intercepts of the parabola are (-4, 0) and (0, 0).

e) The axis of symmetry of the parabola is a vertical line through x = -2.

the perimeter of the bottom of a rectangular swimming pool is 60 meters. the area is 221 square meters. what are the dimensions of the pool?

Answers

The dimensions of the pool are either (21.55, 16.45) or (28.45, 7.55).

The perimeter of the bottom of a rectangular swimming pool is 60 meters, and the area is 221 square meters.

To find the dimensions of the pool, we can use the formula P = 2(l + w) where P is the perimeter and l and w are the length and width of the pool respectively. We can rearrange this formula to solve for either l or w, so we'll solve for l.

2(l + w) = 60
2l + 2w = 60
2l = 60 - 2w
l = (60 - 2w)/2

Now, we can use the formula A = l*w to solve for w.

221 = l*w
221 = (60 - 2w)/2 * w
221 = (60w - 2w^2)/2
442 = 60w - 2w^2
2w^2 - 60w + 442 = 0

Using the quadratic formula, we get w = 16.45 or 7.55.

Now that we know the width, we can use the formula l = (60 - 2w)/2 to find the length. For w = 16.45, l = 21.55, and for w = 7.55, l = 28.45.

Therefore, the dimensions of the pool are either (21.55, 16.45) or (28.45, 7.55).

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the vertices of a triangle are A(8,-24) B(8,-8) C(16,-8). If the triangle is dilated by a scale factor of 1/4 what will be the coordinates of C

Answers

After the triangle is dilated by a scale factor of 1/4, the coordinates of point C' are (10, -14).

How to find the coordinates ?

We can use the following formula to find the coordinates of point C' after the triangle has been dilated by a scale factor of 1/4:

C' = (1/4)(C - center) + center

where C denotes the original coordinate of point C and centre denotes the dilation center (which is not specified in the problem).

However, because this is the most common choice and is not explicitly stated, we can assume that the center of dilation is the midpoint of line segment AB. Line segment AB's midpoint is:

((8+8)/2, (-24-8)/2) = (8, -16)

So, in the formula, we can substitute this value for Centre:

C' = (1/4)(C - (8, -16)) + (8, -16)

All that remains is to plug in the coordinates of point C and simplify:

C' = (1/4)((16, -8) - (8, -16)) + (8, -16)

= (1/4)(8, 8) + (8, -16)

= (2, 2) + (8, -16)

= (10, -14)

As a result, the coordinates of point C' after the triangle has been dilated by a factor of 1/4 are (10, -14).

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Find the average rate of change for the function

Answers

Answer:

average rate of change on [-1,3] = 11

Step-by-step explanation:

avg rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

[tex]\frac{f(3)-f(-1)}{3-(-1)}[/tex]

1. find your y-values.

we are given the x values from the interval [-1,3]. Plug each into the equation to get the y-value of the coordinates.

[tex]f(-1)=4(-1)^2+3(-1)-4\\f(-1)=4(1)-3-4\\f(-1)=-3\\[/tex]

coordinate: (–1,3)

[tex]f(3)=4(3)^2+3(3)-4\\f(3)=4(9)+9-4\\f(3)=36+9-4\\f(3)=41[/tex]

coordinate: (3, 41)

2. plug into the slope formula

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{41-(-3)}{3-(-1)} \\m=\frac{41+3}{4} \\m=\frac{44}{4} \\m=11[/tex]

a die is thorn four times. what is the probability that each number thrown is at least as high as all of the numbers that were thrown earlier?

Answers

Answer:

Step-by-step explanation:

The first roll can be any number from 1 to 6, since there are no earlier rolls to compare it to.

For the second roll, the probability of rolling a number greater than the first roll is 1/2, since there are only three numbers left on the die that are greater than the first roll.

Similarly, the probability of rolling a number greater than the first two rolls on the third roll is 1/3, and the probability of rolling a number greater than the first three rolls on the fourth roll is 1/4.

Therefore, the probability of rolling four numbers that are at least as high as the previous rolls is:

1 x 1/2 x 1/3 x 1/4 = 1/24

So the probability of rolling four numbers that are at least as high as the previous rolls is 1/24.

The probability of rolling each number higher than the previous number when a die is thrown four times is 1/3.

To calculate this probability, we must first understand the concept of a combination. A combination is a way of selecting items from a set, such that the order of selection does not matter. In this case, the set is the numbers 1-6.

The probability of rolling each number higher than the previous number is equal to the probability of selecting four numbers from a set of six without repeating any of them.

We can calculate this probability by dividing the number of desired combinations by the total number of possible combinations.

The number of desired combinations is equal to the number of ways we can choose the first number from the set (6 choices), multiplied by the number of ways we can choose the second number from the remaining five (5 choices), and so on.

Therefore, the number of desired combinations is 6*5*4*3, which is 360.

The total number of possible combinations is equal to the number of ways we can choose four numbers from a set of six, which is 6*5*4*3*2*1, or 720.

Therefore, the probability of rolling each number higher than the previous number when a die is thrown four times is 360/720, which is equal to 1/3.

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