graph the inequality

r- 7 ≤ 2​

The symmetrical interval that includes 93% of the sample means is (3.2455 gallons per month, 3.5545 gallons per month) assuming the population follows a normal distribution.

To calculate the probabilities and identify the symmetrical interval, we'll use the provided information:

Given:

Population mean (μ) = 3.4 gallons per month

Population standard deviation (σ) = 0.85 gallons per month

Sample size (n) = 100

a. Probability that the sample mean will be less than 3.3 gallons per month: To calculate this probability, we need to use the sampling distribution of the sample mean, assuming the population follows a normal distribution. Since the sample size (n) is large (n > 30), we can approximate the sampling distribution as a normal distribution using the Central Limit Theorem. The mean of the sampling distribution is equal to the population mean (μ), which is 3.4 gallons per month. The standard deviation of the sampling distribution, also known as the standard error (SE), can be calculated as σ / √n:

SE = σ / √n

= 0.85 / √100

= 0.085 gallons per month

Now, we can calculate the z-score using the formula:

z = (x - μ) / SE

Substituting the values:

z = (3.3 - 3.4) / 0.085

= -0.1 / 0.085

= -1.1765

Using a standard normal distribution table or calculator, we can find the probability corresponding to a z-score of -1.1765. The probability that the sample mean will be less than 3.3 gallons per month is approximately 0.1190. Therefore, the probability is 0.1190.

b. Probability that the sample mean will be more than 3.6 gallons per month:

Similarly, we can calculate the z-score for this case:

z = (x - μ) / SE

= (3.6 - 3.4) / 0.085

= 0.2 / 0.085

= 2.3529

Using a standard normal distribution table or calculator, we find the probability corresponding to a z-score of 2.3529. The probability that the sample mean will be more than 3.6 gallons per month is approximately 0.0096.

Therefore, the probability is 0.0096.

c. Identifying the symmetrical interval that includes 93% of the sample means:

To find the symmetrical interval, we need to determine the z-scores corresponding to the tails of 93% of the sample means.

Since the distribution is symmetrical, we can divide the remaining probability (100% - 93% = 7%) equally between the two tails.

Using a standard normal distribution table or calculator, we find the z-score corresponding to a tail probability of 0.035 on each side. The z-score is approximately 1.8125.

The symmetrical interval is then given by:

=μ ± z * SE

=3.4 ± 1.8125 * 0.085

=(3.4 - 1.8125 * 0.085, 3.4 + 1.8125 * 0.085)

=(3.4 - 0.1545, 3.4 + 0.1545)

=(3.2455, 3.5545)

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Answer:

3$

Step-by-step explanation:

If the chicken was 4 times the amount of potatoes you would have to divide 12 by 4 to get you answer which would be 3$

12/4 = 3

potato's = 3$

to check you answer you would do 3 times 4 and if it gives you the cost of chicken (12) then it is correct.

Answer: $3

Step-by-step explanation:

If the chicken is 4 times as much, you can divide the cost of the chicken, which is $12. So, 12 divided by 4 is 3. The potatoes cost 3 dollars.

Change management is a significant challenge for many organizations during enterprise system implementation due to various factors such as resistance to change, organizational culture, lack of employee engagement, and inadequate communication and training.

During enterprise system implementation, organizations typically undergo significant changes in processes, roles, and technologies. This can lead to resistance from employees who may be accustomed to existing ways of working. Resistance to change can hinder the adoption and utilization of the new system, affecting its success.

Organizational culture also plays a role. If the organization has a rigid or hierarchical culture that is resistant to change or lacks a culture of innovation and learning, it becomes difficult to implement and integrate the new system effectively.

Lack of employee engagement and involvement in the implementation process can further impede change. Employees need to understand the reasons behind the change, how it will benefit them and the organization, and be provided opportunities for input and feedback.

Inadequate communication and training can be a major obstacle. Employees must be informed about the changes, their roles and responsibilities, and be provided with sufficient training to effectively use the new system. Insufficient communication and training can lead to confusion, frustration, and resistance.

Overall, change management is crucial during enterprise system implementation to address these challenges and ensure a smooth transition, user acceptance, and successful adoption of the new system.

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It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

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The average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8. option C

Average number of viewers over the two weeks = (First week + Second week) / 2

= {(3.6 x 10⁴) + (4.1 x 10⁴)} / 2

= {3.6 + 4.1 × 10^(4×4) } / 2

= (7.7 × 10^16) / 2

= 3.85 × 10^8

Therefore, the average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8.

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The parent function of a quadratic equation is f(x) = x². The function that is transformed to the right and down from the parent function with a minimum is given by f(x) = a(x - h)² + k.

The equation has the same shape as the parent quadratic function. However, it is shifted up, down, left, or right, depending on the values of  a, h, and k.

For a parabola to have a minimum value, the value of a must be positive. If a is negative, the parabola will have a maximum value.To find the vertex of the parabola in this form, we use the vertex form of a quadratic equation:f(x) = a(x - h)² + k, where(h, k) is the vertex of the parabola.The vertex is the point where the parabola changes direction. It is the minimum or maximum point of the parabola. In this case, the parabola is transformed to the right and down from the parent function, f(x) = x². Therefore, h > 0 and k < 0.

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Answer:

The answer is D.

Step-by-step explanation:

because if you do the methoes method you know that it rules out 1 and 2 after you do that its just between C and D, for the caunususicon it has to be D, that is why i think its D. hope this helps

Answer:

3w+2b: 3,2 / w,b / 2 / none

6xy+2c+4: 6,2 / x,y,c / 3 / 4

2/3y - 3p: 2/3, -3 / y,p / 2 / none

Step-by-step explanation:

A variable is a letter that represents a number. The most common are x and y.

The coefficients are the numbers in front of the variable and can change depending on what the variable is equal to.

A constant is a number that is without a variable, so it cannot be changed.

The number of terms is basically how many "numbers" are there. Terms are the combined coefficient and variable and the constants.

Step-by-step explanation:

The coefficient of an algebraic expression is the number before the variable,for example in 3e the coefficient of the variable e is 3.

So in the first Expression,

Coefficients:3 and 2

Variables:w and b

Number of terms:2

Constant:_nil_

So in the second Expression,

Coefficients:6 and -2

Variables:xy and c

Number of terms:3

Constant:4

So in the third expression,

Coefficients:2/3 and -3

Variables:y and p

Number of terms:2

Constant:nil

PLEASE GIVE BRAINLIEST

THANK YOU

Answer:

x = 5

Step-by-step explanation:

3x = -5x + 40

8x = 40

x = 5

hope this helps!

Answer:

5,15

Step-by-step explanation:

The quotient of "has" in the numerator and "in the denominator" is undefined.

In the given phrase, it is unclear what values or expressions "has" and "in the denominator" represent. Without specific numerical or algebraic values, we cannot calculate a quotient or provide a meaningful answer.

In mathematics, a quotient refers to the result of division, where the numerator is divided by the denominator. However, since the given phrase does not provide any specific values or expressions for "has" and "in the denominator," it is impossible to perform the division or determine a numerical or algebraic result.

Therefore, the quotient of "has" in the numerator and "in the denominator" is undefined due to the lack of information or context provided.

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Answer: \(5x-3\)

Step-by-step explanation:

First, \(4x-6+x+3~ < --- Simplify ~the ~expression\)

\(4x+x-6+3\)

Add the numbers \(-6+3=-3\):

\(4x+x-3\)

Add similar elements \(4x+x=5x\):

\(=5x+3\)

Answer:

\(\boxed{\tt 5x−3}\)

Step-by-step explanation:

\(\tt 4x−6+x+3 \)

Combine 4x and x = 5x:-

\(\tt 5x−6+3\)

Now, Add -6 and 3 = -3:-

\(\tt 5x−3\)

- :)

(0,0), (1,1), and (2,1)

Given the linear inequality, y < 0.5x + 2.

To find which points are solutions to this linear inequality, we can substitute the coordinate points and check if the inequality is satisfied or not. If the inequality is satisfied, the coordinate point is a solution and if it is not satisfied then it is not a solution.

Let's check the points one by one;

Option 1: (1,1)

y < 0.5x + 2 becomes

1 < 0.5(1) + 21 < 0.5 + 21 < 2.5

The inequality is true, so (1,1) is a solution.

Option 2: (2,1)

y < 0.5x + 2 becomes

1 < 0.5(2) + 21 < 1 + 21 < 3

The inequality is true, so (2,1) is a solution.

Option 3: (0,0)

y < 0.5x + 2 becomes

0 < 0.5(0) + 20 < 2

The inequality is true, so (0,0) is a solution.

Hence, the three options that are solutions to the linear inequality y < 0.5x + 2 are: (1,1), (2,1), and (0,0).

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Answer:

Careful with blank 2! 6 - y would actually give 4. Y-6 would give -4.

Step-by-step explanation:

This transformation is a translation.

Answer:

Step-by-step explanation:

(x + 4)/(x+4)(x-3)

= 1/(x-3)

solution is option 4

Percentage change = 10%

We can use the formula:

Percent change = \(\frac{New-Old}{Old}\) x 100

Percent change = \(\frac{77-70}{70}\)x100

Percent change = \(\frac{7}{70}\) x 100

Percent change = 0.1 x 100

Percent change = 10%

Answer: 53.9

Step-by-step explanation:

Answer:

1/190

Step-by-step explanation:

To calculate the probability of drawing 2 white marbles and 1 blue marble without replacement, we need to consider the total number of ways to choose 3 marbles out of the total number of marbles in the bag.

The total number of marbles in the bag is 5 + 7 + 2 + 6 = 20.

First, let's calculate the number of ways to choose 2 white marbles out of the 2 available:

Number of ways to choose 2 white marbles = (2 choose 2) = 1

Next, we need to calculate the number of ways to choose 1 blue marble out of the 6 available:

Number of ways to choose 1 blue marble = (6 choose 1) = 6

Now, we can calculate the total number of ways to choose 3 marbles out of the 20 marbles in the bag:

Total number of ways to choose 3 marbles = (20 choose 3) = 1140

Finally, we can calculate the probability by dividing the number of favorable outcomes (2 white marbles and 1 blue marble) by the total number of possible outcomes:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

= (1 * 6) / 1140

= 6 / 1140

= 1 / 190

Answer:

30 degrees

Step-by-step explanation:

I think that every corner is a 90 degree angle so 90/2 is 30

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

Answer:

Hence, in this case, it is concluded that the correct answer is "N = 618 - n x 7"

Step-by-step explanation:

Considering the situation described above, the explicit formula that shows the number of ice cream tickets remaining at the end of the day, after n number of days is "N = 618 - n x 7."

This is based on the idea that each day of the ice cream ticket is defined as 7 tickets taken.

Thus the ticket listing for each day is described as

Day 1. 618 - 7 OR 618 - 1 × 7;

Day 2. 618 - 14 OR. 618 - 2 × 7;

Day 3. 618 - 21 OR 618 - 3 × 7;

Therefore, from this illustration above, the formula needed is: "N = 618 - n x 7."

The maximum volume square candy box to be cut out is 2.88 inches.

If the size of the squares to also be cut out is x, then

A rectangular box's volume is provided by length x width x height.

V = (25 - 2x)(14 - 2x)x = x(350 - 78x + 4x²)

V = 350x - 78x² + 4x³

For the maximum volume of the candy box.

dV/ dt = 0

Differentiate the volume with respect to time.

dV/ dt = 350 - 156x + 12x².

Then,

350 - 156x + 12x² = 0

Solve the above quadratic equation by the quadratic formula and find the roots as-

x = 10.12  and 2.88

However, the size of a square cut out cannot be 10.12 because 10.12 inches cannot be cut from both sides of a 14-inch width.

As a result, the maximum volume square to be cut out is 2.88 inches.

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Answer:

-243 and 729

Step-by-step explanation:

this is a geometric sequence.

to find the nth term of a geometric sequence is given by

U(n) = ar^(n-1)

where n is the term to find, a is first term and r is the common ratio

for this question, a = 1, r = -3/1 = 9/-3 = -3.

we want the 6th and 7th terms.

U(6)  = (1) (-3)^(6-1)

       = (-3)^5

       = -243.

U(7) = (1) (-3)^(7-1)

       = (-3)^6

      = 729

Answer:

4 weeks

Step-by-step explanation:

Answer:

(1/6)

Step-by-step explanation:

ℎ 1/6

Answer:

The interval on which the solution is defined depends on the domain of the exponential function. Since e^((1/2)x^2 + ln(2)) is defined for all real numbers, the solution is defined on the interval (-∞, +∞), meaning the solution is valid for all x values.

Step-by-step explanation:

o solve the differential equation dy/dx = xy with the initial condition y(0) = 2, we can separate the variables and integrate both sides.

Starting with the given differential equation:

dy/dx = xy

We can rearrange the equation to isolate the variables:

dy/y = x dx

Now, let's integrate both sides with respect to their respective variables:

∫(dy/y) = ∫x dx

Integrating the left side gives us:

ln|y| = (1/2)x^2 + C1

Where C1 is the constant of integration.

Now, we can exponentiate both sides to eliminate the natural logarithm:

|y| = e^((1/2)x^2 + C1)

Since y can take positive or negative values, we can remove the absolute value sign:

y = ± e^((1/2)x^2 + C1)

Next, we consider the initial condition y(0) = 2. Substituting x = 0 and y = 2 into the solution equation, we get:

2 = ± e^(C1)

Here, we see that e^(C1) is positive since it represents the exponential of a real number. So, the ± sign can be removed, and we have:

2 = e^(C1)

Taking the natural logarithm of both sides:

ln(2) = C1

Now, we can rewrite the general solution with the determined constant:

y = ± e^((1/2)x^2 + ln(2))

Answer:

1)    x = {-5, -1}

2)   No real solutions

Step-by-step explanation:

Graphic Solutions are x-intercepts

1)    x = {-5, -1}

2)   No real solutions

the solutions are imaginary and are not on the graph

Answer: 24

Step-by-step explanation: thanks

Answer:

y = ( 6 / 5 )x - 5;

Step-by-step explanation:

y = - ( 1 / m )x + c;

Convert dual intercept to standard form.

5x + 6y = 18;

Subtract 5x from both sides.

6y = - 5x + 18;

Divide both sides by 6.

y = ( - 5x + 18 ) / 6;

y = ( - 5x / 6 ) + ( 18 / 6 );

y = ( - 5 / 6 )x  + 3;

Get the perpendicular line.

y = ( 6 / 5 )x + c;

Substitute the point.

7 = ( 6 / 5 )( 10 ) + c;

7 = 12 + c;

Subtract 12 from both sides.

- 5 = c;

c = - 5;

y = ( 6 / 5 )x - 5;

Answer:

C: 20ft, 40ft, 60ft

Step-by-step explanation:

As they all equal 120, but 20 = 1, 40 is doubled 20 as 2 is doubled 1. and 60 is tripled 20 as 3 is tripled 1.

Hope this helps!

Answer: 20 ft, 40 ft, 60 ft

True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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