find the missing value of x,y and z

To create a valid matched pair test, the researcher should consider random assignment, similarity, blinding, sample size, and duration.

To create a valid matched pair test, the researcher should consider the following:

Random assignment: The pairs should be randomly assigned to the treatment and control groups to avoid bias.

Similarity: The pairs should be matched based on similar characteristics that could affect the outcome, such as age, gender, prior algebra performance, and socioeconomic status.

Blinding: The researcher should ensure that the students do not know which group they are assigned to, and the person administering the test should also be blinded to the group assignments.

Sample size: The sample size should be large enough to provide sufficient statistical power to detect a meaningful difference between the two groups.

Duration: The length of the study should be sufficient to allow for meaningful differences to occur between the groups, but not so long that other factors could interfere with the outcome.

By considering these factors, the researcher can create two groups that are well-matched and comparable, allowing for a valid matched pair test to be conducted.

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The value of 2m + k is 14.

The continuity of a function at a point is a fundamental concept in calculus. A function f(x) is said to be continuous at a point x = a

In other words, a function is continuous at a point if we can draw its graph without lifting the pencil from the paper at that point. This means that there are no jumps, breaks, or holes in the graph of the function at that point.

Here we have

To determine if f(x) is continuous at x = 2, we need to check if the left-hand limit and the right-hand limit of f(x) as x approaches 2 are equal, and if they are both equal to f(2).

First, let's calculate the left-hand limit of f(x) as x approaches 2:

lim x → 2- f(x) = lim x → 2- (-x² + 2m) = -(2²) + 2m = 2m - 4

Next, let's calculate the right-hand limit of f(x) as x approaches 2:

lim x → 2+ f(x) = lim x → 2+ (5x - k) = 5(2) - k = 10 - k

Now alculate f(2):

f(2) = -2² + 2m = 2m - 4

For f(x) to be continuous at x = 2, the left-hand limit, right-hand limit, and the function value at x = 2 must all be equal. So we have:

2m - 4 = 10 - k = 2m - 4

Simplifying, we get:

10 - k = 2m - 4

k + 2m = 14

Therefore,

The value of 2m + k is 14.

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The population of your friend's town is 300,000 if the population of your town is about 30,000.

To solve this problem, we can use the fact that if one quantity is a fraction of another quantity, we can multiply or divide the given quantity by that fraction to find the other quantity. In this case, we know that the population of your town is 1/10th of your friend's town's population, so we can multiply your town's population by 10 to get your friend's town's population.

If the population of your town is about 30,000, and it's about 1/10 the population of your friend's town, we can calculate your friend's town's population by multiplying your town's population by 10.

So, the population of your friend's town is

30,000 x 10 = 300,000

Therefore, your friend's town has a population of about 300,000.

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The value of x is 1.

What is a line segment?

A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction.

Here, we have

Given:

The ratio of MM'/MM" is x/3.

We have to find the value of x.

MM' = 3 blocks

MM" = 9 blocks

MM'/MM" = 3/9 = 1/3 = x/3

x = 1

Hence, the value of x is 1.

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The locations of the linear pair angles, the angle expressions, indicates that the  value of x is 24, and we get;

m∠FLS = 108°

m∠SLT = 72°

m∠ALG = 18°

Linear pair angles are angles that together form a straight line.

Linear pair angles are supplementary.

The linear pair angles, ∠FLS and ∠FLG, indicates;

(4·x + 12)° + (3·x)° = 180°

7·x + 12 = 180

7·x = 180 - 12 = 168

x = 168/7 = 24

x = 24

Therefore; m∠FLS = (4 × 24 + 12)° = 108°

∠SLT ≅ ∠FLG, vertical angles theorem, therefore;

m∠SLT = m∠FLG = (3·x)°

x = 24

m∠SLT = m∠FLG = (3 × 24)° = 72°

m∠SLT = 72°

∠ALF = ∠FLG + ∠ALG (Angle addition property)

∠ALF is a right angle, therefore, ∠FLG and ∠ALG are complementary, angles

∠FLG + ∠ALG = 90°

m∠ALG = 90° - m∠FLG

m∠ALG = 90° - 72° = 18°

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The mat's area is 72 square feet, which is larger than the area of the tree house floor, which is 64 square feet. Therefore, the mat will not fit entirely inside the tree house.

What is distance?

Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet.

To determine if the mat will fit inside the tree house, we need to compare the area of the mat to the area of the tree house floor.

The area of the tree house floor is:

8 feet x 8 feet = 64 square feet

Since the area of the mat is larger than the area of the tree house floor, the mat will not fit entirely inside the tree house.

We can know this because the area of the mat is greater than the area of the tree house floor. The mat's area is 72 square feet, which is larger than the area of the tree house floor, which is 64 square feet. Therefore, the mat will not fit entirely inside the tree house.

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Answer: Beth and Jose should leave a $6.15 tip.

Step-by-step explanation: We need to find 20% of $30.75 so you need to multiply 30.75 by 0.20 to find 6.15 to be 20% of 30.75.

Answer:

A) $6.15

Step-by-step explanation:

20%= 0.2
30.75 x 0.2 = 6.15

Check the picture below.

let's find the hypotenuse

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{8}\\ o=\stackrel{opposite}{15}\\ \end{cases} \\\\\\ c=\sqrt{8^2+15^2}\implies \implies c=\sqrt{289}\implies c=17 ~\hfill \boxed{\sin( \theta )=\cfrac{\stackrel{opposite}{15}}{\underset{hypotenuse}{17}}}[/tex]

The researcher could use statistical analysis to compare the proportion of accidents that occur among older employees (e.g., those over 50 years old).

The proportion that occurs among younger employees (e.g., those under 30 years old).

If the proportions are similar, then the data would suggest that older and younger employees are equally prone to having accidents.

To determine whether older and younger employees are equally prone to having accidents.

The researcher at the light manufacturing plant would need to analyze the data collected on accident types and age of the employees involved in the accidents.

If the proportions are different, then the data would suggest that one age group is more prone to accidents than the other.

It is important to note that other factors, such as job type, experience level, and physical condition, could also influence the likelihood of accidents. Therefore, the researcher should also consider these factors when analyzing the data.

to ascertain if employees of different ages are similarly prone to accidents.

The light manufacturing plant researcher would have to examine the information gathered on accident kinds and the ages of the personnel involved in the incidents.

The data would indicate that one age group is more prone to accidents than the other if the proportions were different.

It is significant to remember that additional elements, such as work kind, amount of expertise, and physical condition, may also affect the chance of mishaps.

As a result, when the researcher analyses the data, they should also take these things into account.

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By collecting data, calculating and comparing percentages, and analyzing accident types, we can investigate whether older and younger employees are equally prone to having accidents at the manufacturing plant for random sample.

We will look at the data from the researcher's investigation at the light manufacturing plant. They classified a random sample of accidents by type and age of the employee.

Step 1: Collect data on the total number of accidents involving older and younger employees, as well as the types of accidents they were involved in.

Step 2: Calculate the percentage of accidents involving older employees and the percentage involving younger employees.

Step 3: Compare the percentages and determine if there is a significant difference between the accident rates for older and younger employees.

Step 4: Analyze the types of accidents each group is involved in to see if there are any patterns or trends that may suggest a higher risk for either age group.

By following these steps, we can investigate whether older and younger employees are equally prone to having accidents at the manufacturing plant.

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The next three terms of the sequence.

(a) The sequence alternates between a run of "1"s and a run of "0"s.

Specifically, the nth term is 1 if the number of "1"s in the first n-1 terms is

odd, and 0 if the number of "1"s in the first n-1 terms is even.

(b) The nth term is[tex]\lfloor (n+1)/2\rfloor[/tex] if n is odd, and n/2 if n is even.

(c) The nth term is[tex]2^{(n-1)/2}[/tex] times the parity (i.e., 0 or 1) of n.

(d) The nth term is [tex]3\cdot 2^{n-1}[/tex].

(e) The nth term is 15-7(n-1).

(f) The nth term is the sum of the first n positive integers minus 3, i.e.,

[tex]1+2+3+\cdots+n-3.[/tex]

To determine the next three terms of each sequence, we simply apply the rule or formula given above. For example, for sequence (a), the next three terms are 0, 1, 1, since the next term is 0 (since there are an even number of 1's so far), followed by two 1's (since there are now an odd number of 1's).

For sequence (b), the next three terms are 9, 10, 10, since the next term is 9 (since the next term in the pattern is odd), followed by two 10's (since the next two terms in the pattern are even). And so on for the other sequences.

(a) The sequence alternates between a run of "1"s and a run of "0"s.

Specifically, the nth term is 1 if the number of "1"s in the first n-1 terms is

odd, and 0 if the number of "1"s in the first n-1 terms is even.

(b) The nth term is[tex]\lfloor (n+1)/2\rfloor[/tex] if n is odd, and n/2 if n is even.

(c) The nth term is[tex]2^{(n-1)/2}[/tex] times the parity (i.e., 0 or 1) of n.

(d) The nth term is [tex]3\cdot 2^{n-1}[/tex].

(e) The nth term is 15-7(n-1).

(f) The nth term is the sum of the first n positive integers minus 3, i.e.,

[tex]1+2+3+\cdots+n-3.[/tex]

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Answer: 10

Step-by-step explanation:

10

After 8 hours, there are approximately 76.052 milligrams of medication remaining in Rory's bloodstream.

To solve this problem, we can use the concept of exponential decay, where the amount of medication decreases at a constant rate proportional to the amount present at that time.

Given that the medication is halved every 13 hours, we can determine the decay constant (k) using the formula:

k = ln(0.5) / 13

where ln represents the natural logarithm.

Now, let's calculate the decay constant:

k = ln(0.5) / 13

≈ -0.05314 (rounded to five decimal places)

The equation representing the amount of medication (M) in Rory's bloodstream at any given time (t) is:

[tex]M(t) = M_o \times e^{(kt)[/tex]

where M₀ is the initial amount of medication (150 milligrams).

After 8 hours (t = 8), we can calculate the amount of medication remaining in Rory's bloodstream:

[tex]M(8) = 150 \times e^{(-0.05314 \times 8)[/tex]

M(8) ≈ 76.052 milligrams (rounded to three decimal places)

Therefore, after 8 hours, there are approximately 76.052 milligrams of medication remaining in Rory's bloodstream.

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Answer: i dont know if this is right but i put a^4+b^4=c^4

Step-by-step explanation:

I have no idea tho

a) x= 20, y=20√3 b) x=2, y=2/√3 c) x=9, y=√162 is the correct answer.

Right triangle is that triangle in which one angle has to be 90 degree.The side opposite the right angle is called the hypotenuse, while the other two sides are called legs. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

a)sinα= perpendicular/hypotenuse

sin30°=x/40

1/2=x/40

2x=40

x=20

tanα= perpendicular/base

tan30°=x/y=20/y

1/√3=20/y

y=20√3

b) tanβ=⊥/base

tan60°=2√3/x

x√3=2√3

x=2

tanγ=⊥/base

tan30°=y/x=y/2

1/√3=y/2

y=2/√3

c) tanω=⊥/base

tan45°=9/x

1=9/x

x=9

y²=9²+x²

y²=81+81

y=√162

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If p is a prime number and a is a positive integer, then pa has (a+1) distinct positive divisors.

A prime number is a positive integer greater than 1, which is divisible only by 1 and itself. Divisors are the numbers that evenly divide a given number.

For a prime number p raised to the power of a (p^a), the number of distinct positive divisors can be found using the following formula:

Number of divisors = (a + 1)

This is because each power of p from 0 to a can divide p^a without any remainder, giving us a total of a + 1 distinct divisors. These divisors are:

1, p, p^2, p^3, ..., p^(a-1), p^a

For example, if p = 2 (a prime number) and a = 3 (a positive integer), then the number of distinct positive divisors for 2^3 (which is 8) would be:

Number of divisors = (3 + 1) = 4

The divisors for 2^3 (8) are 1, 2, 4, and 8.

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One of the sample t-test significance 0.10 level, we do not reject the null hypothesis that the mean volume of liquid dispensed by the machine is equal to 180 ml.

A one-sample t-test to determine whether the mean volume of liquid dispensed by the machine is significantly different from 180 ml.

The null hypothesis is that the true mean volume of liquid dispensed by the machine is equal to 180 ml, while the alternative hypothesis is that it is not equal to 180 ml.

We can calculate the t-value as follows:

[tex]t = (179.6 - 180) / (1.3 \sqrt (40)) = -1.385[/tex]

Using a t-distribution table with degrees of freedom (df) = 39 (since we have a sample size of 40 and one parameter estimated), and a significance level of 0.10, we find the critical t-value to be ±1.684.

Since our calculated t-value (-1.385) falls within the acceptance region (-1.684 < t < 1.684), we fail to reject the null hypothesis at the 0.10 significance level.

Sufficient evidence to conclude that the mean volume of liquid dispensed by the machine is significantly different from 180 ml.

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The value of x and order the length of the sides are x = 31 and BD < EB < DE

From the question, we have the following parameters that can be used in our computation:

m∠ABC=(4x)˚

m∠BED=(5+x)˚

m∠BDF=160

As a general rule, the sum of angles in a triangle is 180

Using the above as a guide, we have the following:

4x + 5 + x + 180 - 160 = 180

Evaluate the like terms

5x = 155

Divide by 5

x = 31

The angle opposite the longest side is the greatest angle, and vice versa

So, we have the following order

Smallest = BD

Next = EB

Longest = DE

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Answer:

Step-by-step explanation:

The value of x and order the length of the sides are x = 31 and BD < EB < DE

Finding the value of x and order the length of the sides.

From the question, we have the following parameters that can be used in our computation:

m∠ABC=(4x)˚

m∠BED=(5+x)˚

m∠BDF=160

As a general rule, the sum of angles in a triangle is 180

Using the above as a guide, we have the following:

4x + 5 + x + 180 - 160 = 180

Evaluate the like terms

5x = 155

Divide by 5

x = 31

The angle opposite the longest side is the greatest angle, and vice versa

So, we have the following order

Smallest = BD

Next = EB

Longest = DE

Answer:

x = - 5

Step-by-step explanation:

the axis of symmetry is a vertical line passing through the vertex with equation

x = c ( c is the value of the x- coordinate of the vertex )

vertex = (- 5, 4 ) with x- coordinate - 5 , then

x = - 5 ← equation of the axis of symmetry

Answer:

negative

y=-x

y=-2x+6

y=(-1/2)x+1

y=-5x+20

undefined

x=4

x=-3

zero slope

y=2

y=-100

True, an iterative algorithm will usually run faster than an equivalent recursive algorithm. This is because iterative algorithms use loops to repeat a set of instructions, whereas recursive algorithms call themselves repeatedly until they reach a base case.

An iterative algorithm will usually run faster than an equivalent recursive algorithm. This is because recursive algorithms often involve function calls, which have overhead costs such as saving and restoring the call stack. In contrast, iterative algorithms use loops and do not require the same overhead, making them more efficient in terms of both time and memory usage.

However, it's important to note that some problems may be more elegantly or intuitively solved using recursion, even if it's less efficient. The repeated function calls in a recursive algorithm can lead to slower performance and higher memory usage compared to the more direct approach of an iterative algorithm.

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It is more common to report the standard deviation for grouped data rather than variance for grouped data because the standard deviation is easier to interpret and compare between different groups.

The variance is a measure of the spread of the data, but it is not in the same unit as the original data, making it difficult to interpret. The standard deviation, on the other hand, is in the same unit as the original data, and it provides a more intuitive measure of the spread of the data.

Additionally, the standard deviation can be used to calculate confidence intervals and perform hypothesis tests, which are important statistical tools for analyzing grouped data. Overall, the standard deviation is a more useful and informative measure of variability for grouped data than the variance.

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the probability of a customer choosing a sandwich on white bread with ham and either provolone or American cheese is 6/36, which simplifies to 1/6. Thus, option A is correct.

There are 3 bread options, 4 meat options, and 3 cheese options listed on the board, which gives us a total of  [tex]3 \times 4 \times 3 = 36[/tex] possible sandwich combinations.

There are two cheese options that meet this criteria, so we can create two different sandwiches: one with provolone and one with American cheese.

Each of these sandwiches can be made in [tex]3 \times 1 \times 1 = 3[/tex] ways, as there are 3 bread options but only one option each for the ham and cheese. So, the total number of sandwich combinations that meet our criteria is [tex]2 \times 3 = 6.[/tex]

Therefore, the probability of a customer choosing a sandwich on white bread with ham and either provolone or American cheese is 6/36, which simplifies to   [tex]1/6[/tex].

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The 'footprint' of CO2 emissions for a person in 1830 would be 818,199 tons of CO2 emissions per person.

To find the 'footprint' of CO2 emissions for a person in 1830, we need to substitute the value of x = 1830 - 1800 = 30 into the given function C(x) = 0.0365 (1.758)^x.

Plugging in x = 30 into the function, we get:

C(30) = 0.0365 * (1.758)^30

Substituting this value back into the function, we get:

C(30) = 0.0365 * 22416413.1381

C(30) = 818199.079541

C(30) ≈ 818,199.08

Answered question "Scientists studying the 'footprint' of carbon dioxide (CO2) emissions attributed to the average person for each decade from 1800 to 1910 used the function C(x) = 0.0365 (1.758)*, where x is the number of decades since 1800 and C is the number of tons of CO2 emissions per person. What is the 'footprint' of CO2 emissions for a person in 1830??"

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Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.

a.) The statement P(1) is obtained by substituting n=1 into the equation. So, P(1) would be: 1³ = (1(1 + 1) / 2)²

b.) To show that P(1) is true, we need to prove that both sides of the equation are equal:

Left side: 1³ = 1

Right side: (1(1 + 1) / 2)² = (1(2) / 2)² = (2 / 2)² = 1² = 1

Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.

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a) The equation is not true for n = 1, so P(1) is false.

b) The positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1

a) To find P(1), we substitute n = 1 into the equation given:

13 = (1(1 + 1) / 2)²

13 = (1 / 2)²

13 = 1/4

The equation is not true for n = 1, so P(1) is false.

b) To complete the basic step of the proof, we need to show that P(1) is true.

However, we have just shown that P(1) is false.

This means that the statement "for the positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1.

Therefore, the proof cannot proceed and is incomplete.

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If bout 1.02 X 102 times farther away from the sun than Mercury. The number of kilometers is: C. about 5.91 X 10⁹ kilometers.

If Pluto is 1.02 x 10² times farther away from the Sun than Mercury, we can use the average distance of Mercury from the Sun, which is approximately 57.91 million km (5.791 x 10⁷ km) to calculate the distance of Pluto from the Sun.

Distance of Pluto from the Sun = (1.02 x 10²) x (57.91 x 10⁶ km)

Distance of Pluto from the Sun = 5.91 x 10⁹ km

Therefore, the correct option is: about 5.91 x 10⁹ kilometers.

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Answer:

[tex] \sqrt{41} [/tex]

Step-by-step explanation:

for finding the hypotenuse we use the pythagoras theorem

Answer:

Step-by-step explanation:

To find which number is closest to zero, we must find the number with the lowest absolute value. Luckily to our advantage, all of these numbers have the same denominators, so the number with the lowest numerator is closest to zero.

Out of these numbers, 1/5 is the closest to zero.

Ruben House is approximately 5.32 Km far than the Bank.

From the relation of the triangle we get,

c² = a² + b² - 2ab*cos(C)

where a, b, c are the side lengths opposite to the angles A, B and C respectively.

The diagram of the route of Ruben will be -

In figure A represents the Ruben's house and B represents the Bank and C represents the Store.

So here the distance from the Ruben house to store is (AC) = 37.5 km (given)

The distance of the store to the bank is (BC) = 34.5 Km

The angle ACB will be = 7 degree

We have to find the distance between the Ruben House and the Bank that is the value of AB.  

So,

AB² = AC² + BC² - 2*AC*BC*cos(angle ACB)

AB² = (37.5)² + (34.5)² - 2*37.5*34.5*cos(7)

AB² = 28.29

AB = [tex]\sqrt{28.29}\approx[/tex] 5.32 (Rounding up to two decimal places)

Hence the distance between Ruben's House and the Bank is approximately 5.32 Km.

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The question in English will be -

"Rubén leaves his house in his car and arrives at the store that is 37.5 km away. But remember that first you have to go to the bank to withdraw money, so turn 7th. If the bank located 34.5 km. Of the store. How far in km is Rubén's house from the bank?"

Answer to the question is (a) longest path. The critical path is determined by identifying all the possible paths and calculating their durations, and the one with the longest duration is identified as the critical path.

The number of paths can vary depending on the specific situation or system being analyzed.

The critical path is the longest path in terms of duration or time required to complete all its activities. It is the sequence of tasks or activities that must be completed in order to complete the project within the minimum possible time.

The critical path determines the total duration of the project, and any delay in the critical path activities will cause a delay in the project's completion time.

Therefore, the answer to the question is (a) longest path. The critical path is determined by identifying all the possible paths and calculating their durations, and the one with the longest duration is identified as the critical path.

The critical path method (CPM) is a popular technique used in project management to identify and manage the critical path.

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