true or false? in deductive thinking, you start with a given set of rules and conditions and determine what must be true as a conseqence

Answer:

D

Step-by-step explanation:

Inequalities of the type have | x | > a have solutions of the form

x < - a , x > a

Thus

| x | > 11

x < - 11 and x > 11

Answer:

Step-by-step explanation:

by summing the product of the square of the difference between the value of the random variable and the expected value, and the associated probability of the value of the random variable, taken over all of the values of the random variable

Whenever possible, research should be designed so that the data can be anlyzed using option (a) statistics

-This includes both parametric tests (which assume that the data is normally distributed and meet certain assumptions) and non-parametric tests (which do not make these assumptions and are useful for non-normal data). SPSS is a software program commonly used for statistical analysis, but it is not necessary for conducting statistical analyses.

a. statistics

Research should be designed so that the data can be analyzed using statistics. Statistics provide a set of methods and tools for analyzing and interpreting data, which can help researchers draw meaningful conclusions from their findings. Statistical analysis can be used to identify patterns, trends, and relationships in data, as well as to test hypothesis and make predictions.

Depending on the research question, data type, and sample size, different types of statistical tests may be appropriate. Both parametric and non-parametric tests can be used to analyze data, depending on the assumptions made about the underlying distribution of the data and the level of measurement of the variables. SPSS is a statistical software program that can be used to perform statistical analysis, but it is not necessary for designing research studies or analyzing data.

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Answer:

0.19

Step-by-step explanation:

Answer:

0.19

Step-by-step explanation:

divide 19 by 100 (do this because percent basically means "per 100". anything you want to convert into a decimal is going to be out of 100, so you always divide by 100 when converting percent to decimal.

you will end up with 0.19

hope this helps you :)

Answer:

If I am not mistaken that looks like 6-1 which is 5 but I could be so let my know if I am correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

volume = ⅓×8×7×6 = 112 in³

Answer:

168

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

3:6 Divide both sides by 3 => 1:2

3:6 multiply both sides by 4 => 12:24

1. The upper bound for the perimeter of the regular hexagon is 21.9 cm.

2. All figures on the calculator display for the calculation of Kelly's average speed is: 99.5 / 10.51 = 9.46717412

3. the lower bound for the area of the rectangle is 2.55 × 10⁵ mm²

4. Upper bound for area = 937.6525 cm²

1. The upper bound for the perimeter of the regular hexagon can be calculated by multiplying the length of one side by 6 (the number of sides in a hexagon):

Upper bound for perimeter = 6 × (3.6 + 0.05) = 21.9 cm (rounded to one decimal place)

2. Kelly's average speed can be calculated by dividing the distance she ran by the time she took:

Average speed = distance / time

The lower bound for the distance is 99.5 m (since 100 m was measured to the nearest meter, the actual distance could be as low as 99.5 m).

The lower bound for the time is 10.51 s (since 10.52 s was measured to the nearest hundredth of a second, the actual time could be as low as 10.51 s).

Therefore, the lower bound for Kelly's average speed is:

Average speed = 99.5 / 10.51 = 9.4617 m/s (rounded to 4 decimal places)

3. The length of the rectangle is 645 mm correct to the nearest 5 mm, which means it could be as small as 642.5 mm or as large as 647.5 mm. We can express this as:

645 mm ± 2.5 mm, similarly

400 mm ± 2.5 mm

Lower bound for length = 645 - 2.5 = 642.5 mm

Lower bound for width = 400 - 2.5 = 397.5 mm

Lower bound for area = 642.5 × 397.5 = 255393.75 mm²

Rounded to 3 significant figures, the lower bound for the area of the rectangle is 2.55 × 10⁵ mm².

4. To calculate the upper bound for the area of the rectangle, we need to multiply the upper bounds for the length and width of the rectangle:

Upper bound for length = 35 + 0.45 = 35.45 cm

Upper bound for width = 26 + 0.45 = 26.45 cm

Upper bound for area = 35.45 × 26.45 = 937.6525 cm²

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Answer:

Really dude?

Ok

In form ax + by = c

The slope is equal to (-a/b)

And in this equation b is - 3 and a is 2 so

Slope is equal to 2/3

Answer: 13

Step-by-step explanation:

2k = 26

k= 26/2

13

The three consecutive odd numbers of the number 105 are:

107, 109 and 111

Consecutive numbers are those numerical values that are found just after a specific number or value, for example consecutive numbers from 10 will be 11 onwards.

To solve this problem we must have clear which is our base number, and this is 105, as we will determine the consecutive numbers we must add +1, +2.... as many times as we want, now as we only want the odd numbers and 105 is odd we will proceed to add multiplies of 2:

+2, +4 and +6, having as a result the following numbers:

The consecutive and odd numbers will be 107, 109, 111.

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The relation O is not reflexive, symmetric, and not transitive is one of the following statements that is true about the relation O.  which is option (C).


Given, \(\forall m, n \in Z, m O n \longleftrightarrow \exists k \in Z \mid(m-n)=2 k+1\)
Let's verify for the following relations :
Reflexive relation:
\(\forall a\in Z, a O a \longrightarrow \exists k\in Z \mid (a-a)= 2k+1\)
\(0\neq 2k+1\) for all k \(\in\) Z
Since 2k+1 can never be zero for any k \(\in\) Z, hence we conclude that the relation O is not reflexive.
Symmetric relation:
Suppose a, b \(\in\) Zsuch that a O b i.e. (a-b)=2k+1, where k\(\in\) Z.
Now, we need to check whether b O a is true or not i.e. (b-a)=2j+1 for some j\(\in\) Z
We have,
\((a-b) = 2k+1 \longrightarrow (b-a) = -2k-1 = 2(-k) - 1\)
Let j=-k-1, then we have j\(\in\) Z and 2j+1 = -2k-1
Hence, (b-a) = 2j+1, and we conclude that the relation O is symmetric.
Transitive relation:
Suppose a, b, c\(\in\) Z such that a O b and b O c.
Now, we need to check whether a O c is true or not.
We have,
(a-b)=2k_1+1 and (b-c)=2k_2+1 for some k_1,k_2\(\in\) Z
(a-b)+(b-c) = 2k_1+1 + 2k_2+1
a-c = 2k_1+2k_2+2
Let j=k_1+k_2+1, then we have j\(\in\) Z and a-c=2j
Hence, (a-c) is even and we conclude that the relation O is not transitive.
Therefore, the relation O is not reflexive, symmetric, and not transitive. Hence, option (C) is the correct answer.

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Answer:

your answer is m=2

Step-by-step explanation:

By using proportionality, it can be calculated that-

a) Constant of proportionality that relates the length of paver in the model and the actual length is k = \(\frac{4}{3}\)

\(y = \frac{4}{3}x\) is the required equation which relates the length of paver in the model and the actual length of the paver

b) Area of the rectangle = \(\frac{1}{3}\) sq.feet

Constant of proportionality that relates the area of paver in the model and the actual area is k = \(\frac{9}{16}\)

What is proportionality?

Suppose there are two quantities. Proportionality indicates that if there is a change in the value of one quantity, the value of other quantity also changes but maintaining a constant ratio

Proportionality can be direct or inverse

Direct proportion

Two quantities are said to be in direct proportion if on increasing the value of one quantity, the value of other quantity also increases and vice versa.

For example cost of a commodity and quantity of a commodity are in direct proportion

Inverse proportion

Two quantities are said to be in inverse proportion if on increasing the value of one quantity, the value of other quantity decreases and vice versa.

For example Number of men and number of days taken by those men to complete a job.

Length of paver in the model = \(\frac{2}{3}\) ft

Actual length of paver = \(\frac{1}{2}\) ft

Let the constant of proportionality be k

\(\frac{2}{3} = \frac{1}{2}k\)

k = \(\frac{2}{3} \div \frac{1}{2}\)

k = \(\frac{4}{3}\)

Let y be the length of paver in the model and x is the actual length

\(y = \frac{4}{3}x\) is the required equation which relates the length of paver in the model and the actual length of the paver

b) Area of the model = \(\frac{1}{2}\times \frac{3}{8} = \frac{3}{16}\) sq. feet

Actual area = \(\frac{2}{3} \times \frac{1}{2} = \frac{1}{3}\) sq.feet

Let the constant of proportionality be l

\(\frac{3}{16} = \frac{1}{3}l\)

l = \(\frac{3 \times 3}{16}\\\)

l = \(\frac{9}{16}\)

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Answer:

360 in

Step-by-step explanation:

To figure out how many inches the dressmaker has in 10, 3 ft rolls, we can multiply by the conversion ratio:

\(\dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies (10 \cdot 3 \text{ ft}) \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30 \text{ ft} \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30\cdot 12 \text{ in} \\ \\ \text{} \ \ \implies \boxed{360 \text{ in}}\)

So, the dressmaker has 360 in of ribbon.

Answer:

11

Step-by-step explanation:

55/11=5

Answer:

  A.  f(0) = 4

  B.  f(6) = 8

Step-by-step explanation:

When evaluating a piecewise function, the fist step is to determine the applicable domain. Then the function defined for that domain is the one that is used for the evaluation.

x = 0 is in the domain x < 5, so the applicable function is f(x) = x+4.

  f(0) = 0 +4 = 4

__

x = 6 is in the domain 5 ≤ x < 7, so the applicable function is f(x) = 8.

  f(6) = 8

Answer/Step-by-step explanation:

Function A has a rate of change of 10 and function B has a rate of change of 5, so function A has a greater rate of change.

y = mx + b

The slope also known as rate of change is represented as the variable m in y = mx + b. So whatever number replacing m is the rate of change. In this problem 10 is the slope or rate of change.

In a graph, rate of change is determined by the rate in which the output is increasing or decreasing compared to the increase or decrease of the input. In this graph for every 1x added 5y is decreased. So, the rate of change is 5.

Answer:

the angle which is equal to its supplement is 90 degree

The point (0,1) is not a solution of the system of equations in this problem.

The system of equations in the context of this problem is defined as follows:

Hence the numeric value of y when x = 0 can be obtained from the second equation as follows:

y = 2 - 0

y = 2.

As y is different of 1 when x = 0, we have that

The system of equations is:

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Answer:

the mean is 9

Step-by-step explanation:

The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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The zero of the function is 25.6 and it means that the total number of days is 25.6

From the question, the equation of the function is given as

c = 6.4 - 0.25p

The zero of this function is when the function equals 0

This is represented as

c = 0

Substitute c = 0 in c = 6.4 - 0.25p

So, we have

6.4 - 0.25p = 0

The above equation becomes

0.25p = 6.4

Divide both sides by 0.25

p = 25.6

So, the zero is 25.6 and it represents that the total number of days

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Answer:

The teahcer gave you 4/12 of a bag more than your friend.

Step-by-step explanation:

10/12 ---> 10/12

3/6 ---> 6/12

10/12 - 6/12 = 4/12

The probability is 0.9835 where the sample mean would be greater than 59.5 kilograms.

The central limit theorem can be used to approximate the sampling distribution of the sample mean as a normal distribution.

where the mean equals the population mean (μ = 62 kg) and the standard deviation equals the population standard deviation divided by the square root of sample size (σ/sqrt (n) = sqrt(144 / 195) = 2.4287 kg).

Next, find the probability that the sample mean is greater than 59.5 kilograms.

z = (59.5 - 62) / (2.4287 / square (195)) = -2.1295

Using an ordinary regular table or calculator, we know that the probability of a Z-score less than -2.1295 is 0.0165.

Therefore, the probability that the sample mean exceeds 59.5 kilograms is

1 - 0.0165 = 0.9835

Rounding to four decimal places gives a probability of 0.9835.

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Answer:

1:1.5 or 2:3 or 4:6 or 8:12, etc. is the ratio

Step-by-step explanation: