which of the following expressions evaluate to 3.5 ? (double) 2 / 4 3 (double) (2 / 4) 3 (double) (2 / 4 3) responses i only i only iii only iii only i and ii only i and ii only ii and iii only ii and iii only i, ii, and iii

Answer:

??

Step-by-step explanation:

well according to G it's x=4±5i lol

Step-by-step explanation:

I couldn't figure it out on my own had to G it. sorry if this doesn't help

A system having ΔG equal to zero means that the system is at equilibrium at standard conditions. This is option c. In a chemical reaction, ΔG represents the change in Gibbs free energy, which is a measure of the energy available to do work.

When ΔG is equal to zero, it indicates that the system is balanced, with the forward and reverse reactions occurring at the same rate. At equilibrium, the concentrations of reactants and products remain constant over time. For example, consider the reaction A ⇌ B. Initially, if we have more A than B, the forward reaction will be favored until equilibrium is reached. At equilibrium, the rate of the forward reaction equals the rate of the reverse reaction, and the concentrations of A and B remain constant. In this case, ΔG is zero.

It is important to note that while a ΔG of zero indicates equilibrium, it does not provide information about whether the reaction is spontaneous or nonspontaneous. The spontaneity of a reaction is determined by the sign of ΔG. If ΔG is negative, the reaction is spontaneous, while a positive ΔG indicates a nonspontaneous reaction.

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The 80% confidence interval will be narrower than the 90% confidence interval when constructed from the same sample data.

If an 80% confidence interval and a 90% confidence interval are constructed from the same sample data, the 80% confidence interval will be narrower than the 90% confidence interval.

To understand why this is the case, we need to know that a confidence interval is a range of values within which we estimate the true population parameter lies. The level of confidence associated with the interval represents the probability that the true parameter falls within that range.

In this scenario, an 80% confidence interval means that there is an 80% probability that the true parameter lies within the interval. On the other hand, a 90% confidence interval means that there is a 90% probability that the true parameter falls within the interval.

To construct a narrower interval, we need to have a higher level of confidence. As the confidence level increases, the range of possible values also widens to accommodate the higher probability. Therefore, the 80% confidence interval will be narrower than the 90% confidence interval.

In conclusion, the 80% confidence interval will be narrower than the 90% confidence interval when constructed from the same sample data.

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Quantitative variables provide numerical measures of individuals. The measurements yield useful results and can be added to or removed from.

A quantitative variable is one for which the data display amounts (e.g. height, weight, or age). A categorical variable is one where the data indicate categories. As was discussed in the chapter's section on variables, quantitative variables are those that are measured on a numeric scale.

Height, weight, reaction speed, subjective pain rating, temperature, and exam score are a few examples of quantitative variables.

A quantitative study works with numbers and data, whereas a qualitative study concentrates on words and meanings. Variables can be quantified, and hypotheses can be tested quantitatively. You can go more deeply into concepts and experiences by using qualitative research methods.

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Answer:

Step-by-step explanation:

If you got together on December 27, 2021, your 1-month anniversary would be on January 27, 2022, which is exactly 31 days later.

Your 2-month anniversary would be on February 27, 2022, which is exactly 61 days later. Since February has only 28 days in 2022, it means that your 2-month anniversary would fall on the last day of February.

Your 3-month anniversary would be on March 27, 2022, which is exactly 90 days later.

Based on the information, the baker received 4.48 bags of flour, each weighing 13 1/2 lbs.

An equation is an expression that shows the relationship between numbers and variables using mathematical operators. This concept will help us find the solution to the question, the first step is then to represent the information using an equation.

Let x represent the number of bags of flour received by the baker. Each bag weighs 13 1/2 lbs and the baker receives 60 1/2 lbs of flour.

Hence:

13 1/2 lbs * x bags = 60 1/2 lbs

27x/2 = 121/2x = 4.48 bags

The baker received 4.48 bags of flour.

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Answer:

21 ft

Step-by-step explanation:

the amount of times 12 goes into 18 is 1.5

this is also true for 18 to 27

so that means

when you multiply 14 to 1.5

you get what the ? is

14 * 1.5 = 21

is is 21 ft

The equation y=1 represents a line Perpendicular to x=0.

The equation x=0 represents a vertical line passing through the point (0,0) on the x-axis. A line perpendicular to this line will be a horizontal line passing through the point (0, c) where c is a constant.

So, the equation of the line perpendicular to x=0 is y = c, where c is any constant.

Among the given options, the equation that represents a horizontal line is:

� = 1 y=1

Therefore, the equation y=1 represents a line perpendicular to x=0.

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The mileage rating that the upper 11% of cars achieve is approximately 40.568 (approx).

Automobile mileage ratings is normally distributed with a mean of 38 mpg and a standard deviation of 1.6 mpg. We need to find the probability of P(X <37), P(3541), P(X>37) and mileage rating that the upper 11% of cars achieve.

Let X be the mileage rating of automobile. Then, X ~ N (38, 1.6^2)The z - score for any value x can be calculated using the formula :\( z = \frac{x-\mu}{\sigma} \)a) P(X < 37)We need to find the probability that the mileage rating is less than 37. Hence, we need to find P(X < 37).\(P(X < 37) = P \left( z < \frac{37-38}{1.6} \right) = P(z < -0.625) \)

From the standard normal distribution table, the probability of getting z < -0.625 is 0.2643.Therefore, P(X < 37) = 0.2643 (approx)Hence, the correct option is Incorrect.b) P(X > 41)We need to find the probability that the mileage rating is greater than 41. Hence, we need to find P(X > 41).\(P(X > 41) = P \left( z > \frac{41-38}{1.6} \right) = P(z > 1.875) \)

From the standard normal distribution table, the probability of getting z > 1.875 is 0.0304.Therefore, P(X > 41) = 0.0304 (approx)Hence, the correct option is 0.0304. c) P(X > 37)We need to find the probability that the mileage rating is greater than 37. Hence, we need to find P(X > 37).\(P(X > 37) = P \left( z > \frac{37-38}{1.6} \right) = P(z > -0.625) \)

From the standard normal distribution table, the probability of getting z > -0.625 is 0.7340.Therefore, P(X > 37) = 0.7340 (approx)Hence, the correct option is 0.7340. d) The mileage rating that the upper 11% of cars achieveLet X be the mileage rating of the automobile.Then, X ~ N(38, 1.6^2)

The probability that the mileage rating is greater than any value x can be given as,\( P(X > x) = 1 - P(X < x) \)

The probability that the mileage rating is greater than x = 38 can be calculated as follows :\(P(X > 38) = 1 - P(X < 38) = 1- P \left( z < \frac{38-38}{1.6} \right) = 1- P(z < 0) = 1- 0.5000 = 0.5000\)

Now, let 'a' be the mileage rating that the upper 11% of cars achieve. Then, P(X > a) = 0.11

This can be written as,\( P(X < a) = 1- P(X > a) = 1 - 0.11 = 0.89 \)

We need to find the value of 'a' such that P(X < a) = 0.89 i.e. 89th percentile from the normal distribution table.

By looking into the normal distribution table, we get the z-value that corresponds to the area 0.89 to be 1.23.Then, the mileage rating a can be calculated as,\( z = \frac{a - \mu}{\sigma} \Rightarrow 1.23 = \frac{a - 38}{1.6} \)

Simplifying the above equation, we get the mileage rating a as, a = 40.568Therefore, the mileage rating that the upper 11% of cars achieve is approximately 40.568 (approx).Hence, the correct option is 40.568.

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The statement "d^2y/dx^2 = (dy/dx)^2" is false.

The correct statement is that "d^2y/dx^2" represents the second derivative of y with respect to x, while "(dy/dx)^2" represents the square of the first derivative of y with respect to x.

The second derivative, d^2y/dx^2, represents the rate of change of the slope of a function or the curvature of the graph. It measures how the slope of the function is changing.

On the other hand, (dy/dx)^2 represents the square of the first derivative, which represents the rate of change or the slope of a function at a particular point.

These two expressions have different meanings and convey different information about the behavior of a function. Therefore, the statement that d^2y/dx^2 = (dy/dx)^2 is false.

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Answer:

radius = 12.3 cm

Step-by-step explanation:

The formula to find the circumference of a circle:

Circumference = 2 × π × r

77 = 2 × π × r

r = \(\frac{77}{2*\pi } \)

r = 12.3 cm (in 3 significant figures)

Any two numbers cannot have HCF 0 because anything multiplied by 0 is 0... So, thats why 0 is not a multiple of any number, hence it cannot be HCF...

Hope it was helpful :)

Fred is wrong because the Highest Common Factor (HCF) of two numbers cannot be 0. The HCF is the largest positive integer that divides both numbers without leaving a remainder.

The Highest Common Factor (HCF), also known as the Greatest Common Divisor (GCD), of two or more numbers is the largest positive integer.

That divides each of the numbers without leaving a remainder.

To find the HCF of 20 and 21, we need to determine the common factors of these two numbers.

The factors of 20 are 1, 2, 4, 5, 10, and 20. The factors of 21 are 1, 3, 7, and 21.

The common factors of 20 and 21 are 1.

That's because 1 is the only number that can divide both 20 and 21 without leaving any remainder.

Now, let's check if there is a higher common factor (greater than 1) for these two numbers.

20 and 21 are both relatively small numbers, and it's evident that there are no other common factors greater than 1.

The HCF (or GCD) of 20 and 21 is 1. It is essential to note that the HCF is always a positive integer, and it cannot be zero.

This is because dividing any non-zero number by 0 is undefined in mathematics.

Therefore, Fred is incorrect in stating that the Highest Common Factor of 20 and 21 is 0, the correct HCF is 1, as there is no other positive integer that can divide both 20 and 21 without leaving a remainder.

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The probability that a randomly selected user is online less than 15 hours a week is 0.1056 (approx).

As per the given statement, u.s. internet users spend an average of 18.3 hours a week online. If 95% of users spend between 13.1 and 23.5 hours a week, we need to determine the probability that a randomly selected user is online less than 15 hours a week.

To find the probability that a randomly selected user is online less than 15 hours a week, we need to use the Z-score formula, which is defined as:

Z = (X - μ) / σ

Where Z is the z-score, X is the value of the element, μ is the mean of the population, and σ is the standard deviation. Therefore, the probability of a randomly selected user being online less than 15 hours per week can be calculated as follows:Z = (15 - 18.3) / σ

We know that 95% of users spend between 13.1 and 23.5 hours per week, which means that the standard deviation is given by:

13.1 - 18.3 = 5.4 hours (lower bound)

23.5 - 18.3 = 5.2 hours (upper bound)

Therefore, σ = (5.4 + 5.2) / 4 = 2.65 hours

Hence, the z-score can be calculated as follows:Z = (15 - 18.3) / 2.65 = -1.25

Thus, the probability that a randomly selected user is online less than 15 hours a week is P(Z < -1.25). Using a standard normal distribution table, we can find that P(Z < -1.25) = 0.1056 (approx).

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Point x is located at ( 2,5)

When reflecting across the y axis the x value remains the same.

The reflection is at y -2, from -2 to the location of z (-5) is a difference of 3 units.

Add 3 to the reflection line -2 + 3 = 1 , the new y value would be 1.

the new location would be (2,1)

Answer:

x is 7 and m<1 is 99°

Step-by-step explanation:

m<NMQ + m<MQN + m<QNM = 180°

\({ \sf{(5x + 19) + (8x - 11) + (11x + 4) = 180}} \\ { \sf{24x + 12 = 180}} \\ { \sf{24x = 168}} \\ { \sf{x = \frac{168}{24} }} \\ \\ { \sf{x = 7}}\)

m<1 = 180° - (11x + 4)

m<1 = 180° - 81°

m<1 = 99°

Using angle sum property

\(\\ \sf\longmapsto 5x+19+8x-11+11x+4=180\)

\(\\ \sf\longmapsto 24x12=180\)

\(\\ \sf\longmapsto 24x=180-12=168\)

\(\\ \sf\longmapsto x=\dfrac{168}{24}\)

\(\\ \sf\longmapsto x=7\)

Given:

A right rectangular prism's edge lengths are 6 inches, 3 inches, and 3 1/2 inches.

We will find the number of cubes with edge length = 1/3 inches that can fit inside the prism

We will find the volume of the prism and the volume of the cube, then divide the volume of the prism by the volume of the cube:

So, the number of the cubes will be as follows:

So, the answer will be option D) 1701 unit cubes

The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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When finding local maxima and minima from the graph of a derivative, we need to identify the points where the derivative changes sign. These points represent the locations of local maxima and minima on the original function.

When finding local maxima and minima from the graph of a derivative, we need to understand the relationship between the original function and its derivative. The derivative of a function represents the rate of change of the function at any given point. Local maxima and minima occur where the derivative changes sign from positive to negative or from negative to positive. At these points, the slope of the original function changes from increasing to decreasing or from decreasing to increasing.

By following these steps, we can identify the local maxima and minima from the graph of a derivative.

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Identify the critical points, Determine the intervals, Analyze the sign changes and Check the endpoints

To find the local maximum and minimum points from the graph of a derivative, you can follow these steps:

Identify the critical points: These are the points where the derivative is either zero or undefined. Find the values of x where f'(x) = 0 or f'(x) is undefined.

Determine the intervals: Divide the x-axis into intervals based on the critical points and any other points of interest. Each interval represents a section of the graph where the derivative is either positive or negative.

Analyze the sign changes: Within each interval, observe the sign of the derivative. If the derivative changes sign from positive to negative, there is a local maximum at that point. If the derivative changes sign from negative to positive, there is a local minimum at that point.

Check the endpoints: Also, check the derivative's sign at the endpoints of the graph. If the derivative is positive at the leftmost endpoint and negative at the rightmost endpoint, there is a local maximum at the left endpoint. Conversely, if the derivative is negative at the leftmost endpoint and positive at the rightmost endpoint, there is a local minimum at the left endpoint.

By following these steps and analyzing the sign changes of the derivative within intervals, as well as checking the endpoints, you can identify the local maximum and minimum points from the graph of the derivative.

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The time between injections should be about 7.28 hours.

A function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the range), with the property that each input is associated with exactly one output

We need to find the time it takes for the drug to reach 6 milligrams in the patient's bloodstream, which is the time between injections.

We can set up an equation using the given function

D(h) = 25e^(-0.35h) = 6

Dividing both sides by 25, we get:

e^(-0.35h) = 6/25

Taking the natural logarithm of both sides, we get:

-0.35h = ln(6/25)

Solving for h, we get:

h = ln(6/25)/(-0.35) ≈ 7.28 hours

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The given question is incomplete, the complete question is:

The number of milligrams D(h) of a certain drug that is in a patient's bloodstream h hours after the drug is injected is given by the following function.

D(h)=25e^(−0.35h)

When the number of milligrams reaches 6, the drug is to be injected again. How much time is needed between injections?

Answer:

13

Step-by-step explanation:

for example, Sum of 5 no. = 7×5=35

Sum of 8 no. = 8.5×8=68

Sum of added all three no. = 68 - 35 = 33

average of three new numbers = 33/3=11

The number 25 is added then the average becomes 10.

The average is defined as the ratio of the sum of the data to the total numbers of the data.

Average = ( Sum of the numbers ) / ( number of the data )

Given that the average of 5 numbers is 7. when one more number is added the average becomes 10.

The number added is calculated as:-

Sum of the numbers = 5 x 7 = 35

Let x is the number added.

Sum of the numbers = 35 + x

We know that some of the numbers = 10 x 6

35 + x = 10 x 6

35 + x = 60

x = 60 - 35

x = 25

Hence, the number added is 25.

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Step 1:

Start by setting it up with the divisor 2 on the left side and the dividend 352 on the right side like this:

2 ⟌ 3 5 2

Step 2:

The divisor (2) goes into the first digit of the dividend (3), 1 time(s). Therefore, put 1 on top:

1

2 ⟌ 3 5 2

Step 3:

Multiply the divisor by the result in the previous step (2 x 1 = 2) and write that answer below the dividend.

1

2 ⟌ 3 5 2

2

Step 4:

Subtract the result in the previous step from the first digit of the dividend (3 - 2 = 1) and write the answer below.

1

2 ⟌ 3 5 2

- 2

1

Step 5:

Move down the 2nd digit of the dividend (5) like this:

1

2 ⟌ 3 5 2

- 2

1 5

Step 6:

The divisor (2) goes into the bottom number (15), 7 time(s). Therefore, put 7 on top:

1 7

2 ⟌ 3 5 2

- 2

1 5

Step 7:

Multiply the divisor by the result in the previous step (2 x 7 = 14) and write that answer at the bottom:

1 7

2 ⟌ 3 5 2

- 2

1 5

1 4

Step 8:

Subtract the result in the previous step from the number written above it. (15 - 14 = 1) and write the answer at the bottom.

1 7

2 ⟌ 3 5 2

- 2

1 5

- 1 4

1

Step 9:

Move down the last digit of the dividend (2) like this:

1 7

2 ⟌ 3 5 2

- 2

1 5

- 1 4

1 2

Step 10:

The divisor (2) goes into the bottom number (12), 6 time(s). Therefore put 6 on top:

1 7 6

2 ⟌ 3 5 2

- 2

1 5

- 1 4

1 2

Step 11:

Multiply the divisor by the result in the previous step (2 x 6 = 12) and write the answer at the bottom:

1 7 6

2 ⟌ 3 5 2

- 2

1 5

- 1 4

1 2

1 2

Step 12:

Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom.

1 7 6

2 ⟌ 3 5 2

- 2

1 5

- 1 4

1 2

- 1 2

0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 352 divided by 2 calculated using Long Division is:

176

352 divided by 2 is equal to 176 where 176 is the quotient.

We have to divide 352 by 2.

Three hundred fifty two is the dividend and two is the divisor.

We have to find the quotient.

Mathematically we can write the problem as 352 ÷ 2.

When 352 is divided by two we get one hundred and seventy six.

352/2

=176.

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Answer:

The correct answer is: -7, 7

Step-by-step explanation:

Given numbers are:

-7, 0, 7, 14

We have to check all pairs of numbers with respect to sum to check that which pair of numbers sums up to zero. So first of all, we will take -7 and will find its sum with other numbers.

So,

\(-7+0 = -7\\-7+7=0\\-7+14 = 7\)

We can see that the sum of -7 and 7 is zero.

Hence,

The correct answer is: -7, 7

Your answer is B.) -7, 7

McKenzie is right and Cara is wrong.

a² + b² = c²

[The Pythagoras theorem a , b are the square edge)

Answer:

Step-by-step explanation:

the problem looks for the measure of the hypotenuse, which is the longest side of a right triangle, so it cannot be 12 in because we have a cathetus of 13 in, therefore, without making calculations but following a simple reasoning, the correct answer is McKenzie's , about 13.93, the only possible option

Answer:

y=12x+2

Step-by-step explanation:

Answer:

\(4,080grams\)

Step-by-step explanation:

the formula for density is:

\(d=\frac{m}{V}\)

where d is density, m is mass, and V is volume.

solving for m in the last equation:

\(m=d*V\)

so if we find the volume and multiply it by the density \(d=8.3gr/cm^3\)  we will get the mass of the object.

The volume of a rectangular prism is given by:

\(V=l*w*h\)

where \(l\) is length, \(w\) is width and \(h\) is height:

\(l=5in\\w=3in\\h=2in\)

we substitute to find the volume:

\(V=5in*3in*2in\\V=30in^3\)

since the density has units of \(cm^3\) we need the volume also in units of \(cm^3\) , so we make the conversion using:

\(1in^3=16.3871cm^3\)

multiplying by 30:

\(30in^3=491.612cm^3\)

and now we find the mass with the equation:

\(m=d*V\)

substituting d and V:

\(m=(8.3gr/cm^3)(491.612cm^2)\\m=4,080.36gr\)

the nearest gram is: \(4,080grams\)

The sample size is needed to achieve a margin of error of .05 for a 90% confidence interval for a proportion of interest to be near 0.25 is equals to the 203.

From the above problem we have,

Mardin of error, E = 0.05

confidence interval, α = 90%

proportion of interest, p = 0.25

We have to determine the sample size.

Using the formula for minimum sample size is written as n = (Z² × p(1 -p)]/E² --(1)

Using the Z-distribution table and the z-score value for 90% is equals to 1.645.

Plug all known values in above equation,

=> n = [(1.645)² × 0.25 ( 1 - 0.25)]/(0.05)²

=> n = (1.645)² × 0.25 ×0.75/(0.05)²

=> n = 0.5074/0.0025

=> n = 202.96 ~ 203

Hence, required sample value is 203

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Step-by-step explanation:

Large Jar 540g for 2.16

540/2.16 = 250

(Always divide by the smallest ratio)

= 250g per 1£

Small Jar 360g for 1.37

360/1.37=262.77g

= 262.77g per 1£

Small Jar is the best value for money, more grams, same price.

Total Trashcans

\(\\ \sf\longmapsto \dfrac{3.2}{0.2}\)

\(\\ \sf\longmapsto 16\)

a) The probability of extinction occurring in the first generation is (0.5).

b) The probability of extinction occurring in the second generation is 0.25

c) The probability of extinction occurring in the third generation is 0.125

d) The probability of extinction occurring in the fourth generation is 0.0625

e) The probability of extinction occurring in the fifth generation is 0.03125

In a branching process, each individual can either have zero offspring or one offspring with a probability of 0.5. The probability of extinction occurring at each generation is the probability that all individuals have zero offspring, which is equal to \((0.5)^n\), where n is the generation number.

Therefore, the probability of extinction occurring by a certain generation can be calculated by raising 0.5 to the power of the generation number.

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