Homework for Introduction to Probability and Statistics (101 Stat) 1) Classify each variable as discrete or continuous and as qualitative or quantitative. a) The variable that recording ages of students in schools. b) The variable that recording types of cars in KSA. c) The variable that recording the lifetime of car tires. d) The variable that recording colors of the spectrum of rainbow. 2) Give two examples for each of the following (It is not permissible to use the phrases that were written in the previous question): a) Quantitative discrete variable. b) Quantitative continuous variable. c) Qualitative discrete variable. d) Qualitative continuous variable.

The probability of obtaining sufficient participants for their study is 0.0029.

The probability of researchers at a firm finding enough subjects for their study can be calculated using binomial probability.

Binomial probability is a probability distribution that calculates the probability of one event's occurrence in a specified number of experiments or trials that produce either positive or negative outcomes.

The probability that an event will occur in n number of trials or experiments is determined using the following formula:

P(X=a) = ⁿCₐ * p^a * (1-p)^(n-a)

Where ⁿCₐ is the number of combinations of "n" items taken "a" at a time.

"p" is the probability of an event occurring.

"(1-p)" is the probability of an event not occurring.

"n" is the number of experiments, and "a" is the number of successful events.

Let us solve the problem now. We have n = 729 and p = 0.04

We need to find out the probability of finding 19 children with the gene for their study. This means that we need to find out P(X=19)Now, we can calculate it as:

P(X=19) = ⁿCₐ * p^a * (1-p)^(n-a)

Putting the given values, we get:

P(X=19) = ⁷²⁹C₁₉ * (0.04)^19 * (1 - 0.04)^(729 - 19)

≈ 0.0029

Hence, the probability of finding enough subjects for their study is 0.0029.

To know more about the "probability ": https://brainly.com/question/29508911

#SPJ11

The required measure of x and y for the concurrent triangle is 4 and 2 respectively.

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

here,
Since the triangle is are concurrent triangle,
x + 4 = 4y - - - - (1)
x = y + 2 - - - - (2)
Solving the above system of the equation,
y + 2 + 4 = 4y
6 = 3y
y = 6 / 3
y = 2
Now put this y in equation 2
x = 2 + 2
x = 4

Thus, the required measure of x and y for the concurrent triangle is 4 and 2 respectively.

Learn more about congruent geometry here. https://brainly.com/question/12413243

#SPJ1

Answer:

82/12

Step-by-step explanation:

The Taylor series for a function f about x=1 is an infinite sum that represents the function using its derivatives at x=1. It starts with the value of the function at x=1 and includes terms involving higher derivatives multiplied by powers of (x-1) divided by factorials. It allows us to approximate the function near x=1 using a polynomial.

1. The first term, f(1), represents the value of the function at x=1.
2. The subsequent terms involve the derivatives of the function at x=1. The second term, f'(1)(x-1), is the first derivative of f at x=1 multiplied by (x-1).
3. Each subsequent term involves higher derivatives of f at x=1, with each derivative being multiplied by (x-1) raised to a power and divided by the corresponding factorial.

The Taylor series is a way to represent a function as an infinite sum of terms derived from its derivatives at a specific point. In this case, the Taylor series for function f about x=1 is given by f(x) = f(1) + f'(1)(x-1) + f''(1)(x-1)^2/2! + f'''(1)(x-1)^3/3! + ...

Each term involves a derivative of f evaluated at x=1, multiplied by (x-1) raised to a power and divided by the corresponding factorial. By including more terms in the series, we can approximate the function better near x=1 using a polynomial.

To know more about Derivatives visit.

https://brainly.com/question/25324584

#SPJ11

We can simplify the expression to get:

\(\sqrt[4]{x^3}\)

Here we want to simplify the following expression:

\(\sqrt[]{x} *\sqrt[4]{x}\)

Remember that a square root is equivalent to a power of 1/2, and the fourth root is equivalent to a power of 1/4.

Then we can write:

\(\sqrt[]{x} *\sqrt[4]{x} = x^{1/2}*x^{1/4}\)

Now in the product we just add the exponents:

\(\sqrt[]{x} *\sqrt[4]{x} = x^{1/2}*x^{1/4} = x^{1/2 + 1/4} = x^{3/4} = \sqrt[4]{x^3}\)

That is the expression si,plified.

Learn more about square roots at:

https://brainly.com/question/98314

#SPJ1

The system that sought to ensure the availability of a subservient agricultural labor supply controlled by white people.

Slavery is the practice of forcing individuals to work without pay or freedom. Historically, it has been used as a means of exploiting people for economic gain, and it has been justified on the basis of race, ethnicity, religion, or social status.

In the transatlantic slave trade, which lasted from the 16th to the 19th century, millions of Africans were captured and forcibly transported across the Atlantic Ocean to the Americas, where they were sold into slavery. Slaves were treated as property and denied basic human rights, such as the right to freedom, education, and family.

The system that sought to ensure the availability of a subservient agricultural labor supply controlled by white people is known as "slavery." Slavery was a brutal and inhumane practice that existed in many parts of the world throughout history. In the United States, slavery was primarily used to support the Southern agricultural economy, with enslaved people being forced to work on plantations producing crops such as cotton, tobacco, and sugar cane. The abolition of slavery in the United States was a long and difficult struggle that culminated in the Civil War and the passage of the 13th Amendment to the US Constitution in 1865.

To know more about war visit:

https://brainly.com/question/11874600

#SPJ1

Answer:

4.359/10

Step-by-step explanation:

Answer:

8.0688

Step-by-step explanation:

12(0.82)^2

.82×.82= .6724

.6724×12= 8.0688

PEMDAS

Answer:

8.06

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

both angles must be the same. as also the top and the bottom angles are identical to each other.

that is how crossing lines work. if they would change the angles after the intersection point, they would no longer be the straight extensions of the lines going "into" the intersection.

so,

5x + 15 = 55

5x = 40

x = 8

The solutions to the inequalities are given as follows:

6. x < 4.

7. x ≤ 1.8.

8. x ≥ -7.

An inequality is solved similarly to an equality, isolating the variable and then finding a range of values.

For item 6, the inequality is:

x < 0.25(3x + 4)

x < 0.75x + 1

x - 0.75x < 1

0.25x < 1

x < 1/0.25

x < 4.

For item 7, the inequality is:

1.5 + 0.25(x/0.2) ≤ 3.75.

The composition is explained as follows:

Hence the solution is obtained as follows:

1.5 + 0.25(x/0.2) ≤ 3.75.

1.25x ≤ 2.25

x ≤ 2.25/1.25

x ≤ 1.8.

For item 8, the inequality is:

2(x + 4) ≤ 3(x + 7) - 4

No more = less or equal than

Hence
2x + 8 ≤ 3x + 21 - 4

2x + 8 ≤ 3x + 15

x ≥ 8 - 15

x ≥ -7.

More can be learned about inequalities at https://brainly.com/question/25275758

#SPJ1

The sum of first 10 terms is 72.

Concept: Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.

Arithmetic Progression Formula

= an - a. nth term of an AP: an = a + (n - 1)d. Sum of n terms of an AP: Sn = n/2(2a+(n-1)d) = n/2(a + l), where l is the last term of the arithmetic progression.

Given:

Eighth term is 8.2

Common difference is 0.4

a(8) = 8.2

a + 7d = 8.2

Since d = 0.4

a + 7(0.4) =8.2

a = 5.4

Sum of 10 terms = n/2 (2a+(n-1)d)

= 5(2*5.4 + 9*0.4)

=5(10.8 +3.6)

Sum=72

For more information about arithmetic progression, visit

https://brainly.com/question/6561461

#SPJ4

Answer:

Step-by-step explanation:

Just plug each value of x into the equation to get y:

f(-2) = (√-(-2) - 2)  + 2 = √0 + 2 = 2

f(-3) = (√-(-3) - 2) + 2 = √1 + 2 = 3

f(-6) = (√-(-6) - 2) + 2 = √4 + 2 = 4

f(-11) = (-(-11) - 2) + 2 = √9 + 2 = 5

Using a normal distribution table or calculator, we can find that approximately 88.8% of the observations will fall within this range. This means that if a variable follows a normal distribution, approximately 88.8% of the observations will fall within 1.75 standard deviations of the mean.

When a variable follows a normal distribution, it is often assumed that the distribution is symmetrical around the mean, with 50% of the observations falling above the mean and 50% falling below. However, we can use standard deviations to better understand the distribution of the data.
If a variable follows a normal distribution, approximately 68% of the observations will fall within one standard deviation of the mean. This means that if the mean is 100 and the standard deviation is 10, approximately 68% of the observations will fall between 90 and 110.
When we move to 1.75 standard deviations away from the mean, we can use a normal distribution table or calculator to find the percentage of observations falling within that range. Using the same example as before, if the mean is 100 and the standard deviation is 10, we would multiply 1.75 by 10 to get 17.5. Then, we would add and subtract 17.5 from the mean to find the range of values that fall within 1.75 standard deviations away from the mean. This gives us a range of 82.5 to 117.5.
To know more about standard deviations visit:
https://brainly.com/question/13336998

#SPJ11

Seniors at Boston College and students in a first-semester business statistics course represent a population and a sample, respectively(C).

A population refers to the entire group of individuals or items that we are interested in studying, while a sample is a subset of the population that is selected for analysis.

In option c, the seniors at Boston College represent a population as they are the entire group of interest. On the other hand, the students in a first-semester business statistics course represent a sample because they are a subset of the population (seniors at Boston College) and are selected for analysis. So c is correct option.

For more questions like Sample click the link below:

https://brainly.com/question/31101410

#SPJ11

The sum of the residuals and what it tells us about the line of best fit is that: −1.06; This indicates that the line of best fit is not very accurate and is not a good model for prediction.

Mathematically, the residual value of a data set can be calculated by using this formula:

Residual value = actual value - predicted value

Next, we would determine the predicted values as follows:

At point (4, 6), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(4) − 0.76.

Predicted value, y = 5.08

At point (6, 7), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(6) − 0.76.

Predicted value, y = 8.

At point (7, 8), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(7) − 0.76.

Predicted value, y = 9.46.

At point (9, 13), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(9) − 0.76.

Predicted value, y = 12.38.

At point (10, 14), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(10) − 0.76.

Predicted value, y = 13.84

At point (11, 15), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(11) − 0.76.

Predicted value, y = 15.3.

Now, we can calculate the sum of the residuals as follows:

Sum of the residuals = Sum of actual values - Sum of predicted values

Sum of the residuals = (6 + 7 + 8 + 13 + 14 + 15) - (5.08 + 8 + 9.46 + 12.38 + 13.84 + 15.3)

Sum of the residuals = 63 - 64.06

Sum of the residuals = -1.06.

Read more on residual value here: https://brainly.com/question/17073231

#SPJ1

Answer:

-1.06

Step-by-step explanation:

i took the test :)

Answer: I will give you the answer in fraction form and in decimal form. Here is 1/6 divided by 12... Answer: 1/72

Step-by-step explanation:

The area of the shaded region created by removing the circle from the squares is 16√2.

This can be determined by using the Pythagorean theorem to calculate the length of the circle's radius, which is 4. Then, the area of the circle can be determined using the formula A = πr2, which is equal to 16π.

Finally, the area of the shaded region can be found by subtracting the area of the circle from the area of the two squares, which is 32.

Therefore, 16√2 is the area of the shaded region.

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Mathematically, this can be expressed as a^2 + b^2 = c^2, where a and b are the lengths of the two sides adjacent to the right angle, and c is the length of the hypotenuse.

For more questions like Right angles visit the link below:

https://brainly.com/question/19066538

#SPJ4

The amount of antifreeze that a radiator can hold depends on the size of the radiator.

Radiators come in different sizes and capacities, and the amount of antifreeze that a radiator can hold can range from less than a gallon to several gallons. In order to determine the exact amount of antifreeze that a particular radiator can hold, you would need to consult the manufacturer's specifications for that radiator or take the radiator to a mechanic who can assess its capacity. Additionally, the amount of antifreeze required may also depend on the make and model of the vehicle that the radiator is installed in.

Learn more about radiator

https://brainly.com/question/29012808

#SPJ4

Answer:

8

Step-by-step explanation:

if you take 20 divided by 2.50 it'll give you 8. So she can buy 8 fish at 2.50 a piece with 20 dollars.

The approximate length of the paper, when wrapped around concentric circles on a cardboard tube, is 1,060,607.83 meters.

To find the approximate length of the paper in meters, we need to calculate the circumference of each concentric circle formed by wrapping the paper around the cardboard tube. We can then sum up the circumferences to get the total length.

First, let's calculate the circumference of the smaller circle with a diameter of 22 cm:

C1 = π * d1 = π * 22 cm

Next, we calculate the circumference of the larger circle with a diameter of 1010 cm:

C2 = π * d2 = π * 1010 cm

Since the diameters of the circles are evenly spaced, we can find the difference between the diameters and divide it by the number of circles to determine the increment:

increment = (d2 - d1) / 600600

Now, we can calculate the sum of the circumferences of all the circles:

total length = C1 + C1 + increment + C1 + 2 * increment + C1 + 3 * increment + ... + C2

Using the formula for the sum of an arithmetic series, the total length can be simplified as follows:

total length = (n / 2) * (C1 + C2) + (n / 2) * (n - 1) * increment

In this case, n is equal to the number of circles, which is 600600.

Finally, we convert the total length from centimeters to meters:

total length meters = total length / 100

Calculating all the values and substituting them into the formula, we find that the approximate length of the paper in meters is 1,060,607.83 meters.

Learn more about concentric circles

https://brainly.com/question/8994066

#SPJ11

The length of RU in triangle is,

⇒ RU = 16

We have o given that;

In triangle;

ST = 37

UT = 35

RS = 20

Hence, By using definition of Pythagoras theorem we get;

In triangle STU;

⇒ ST² = SU² + UT²

⇒ 37² = SU² + 35²

⇒ 1369 = SU² + 1225

⇒ SU² = 144

⇒ SU = 12

Hence, In triangle RSU;

⇒ RS² = SU² + RU²

⇒ 20² = 12² + RU²

⇒ 400 - 144 = RU²

⇒ RU² = 256

⇒ RU = 16

Thus, The length of RU in triangle is,

⇒ RU = 16

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

There are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

In this problem, we want to find the number of ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

Since every man must be diametrically opposite a woman, we can pair each man with one woman. There are 5 men and 9 women, so there are 5 pairs. We need to find the number of ways to seat these 5 pairs of people in a circle.

To do this, we can first seat one pair in any position. Then, we can seat the second pair anywhere but opposite the first pair. This gives us 11 positions for the second pair. Continuing in this way, we see that there are 11 * 6 * 5 * 4 * 3 = 7920 ways to seat the 5 pairs of people in a circle.

So, there are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

To learn more about diametrically please click on below link.

https://brainly.com/question/17026408

#SPJ4

Assuming 14 people, 5 men and 9 women, how many ways can they sit in a circle such that every man is diametrically opposite a woman?

Answer: Answer:the person entering the room is 10 years oldStep-by-step explanation:x / 5 = 40x = 40 * 5x = 200so the total of all the ages of 5 people

Step-by-step explanation:

Step-by-step explanation:

a rate of 12 m²/h = 12 × 10,000/3,600

= 33,3 cm²/min?

The possible value of QRP is 24^o.

A sine rule is a trigonometric rule which can be used to determine either the angle or length of side of a given triangle that is not a right angle.

sine rule states that;

a/Sin A = b/Sin B = c/Sin C

From the given question, let the measure of angle QRP be represented by R. So that;

9/ Sin 37 = 6/ Sin R

9 Sin R = 6 Sin 37

Sin R = 6 Sin 37/ 9

  = 3.611/ 9

  = 0.4012

R = Sin^-1 (0.4012)

  = 23.65

Thus, QRP is 24^o.

Learn more about sine rule at https://brainly.com/question/20839703

#SPJ1

Answer:

181 is the longest side. the hyp is the longest side of a right triangle.

Answer:

d. The triangles are not similar because 6/13 ≠ 8/20.

Step-by-step explanation:

△ABC is similar to △DEF ,If the length of their corresponding sides are proportional.

ie : 6/13 = 8/20 = 10/25

Since , 6÷13 = 0.461538461538 ≠ 0.4 = 8÷20

Then

6/13 ≠ 8/20

Therefore , the triangles are not similar.

Answer:

63 gallons

Step-by-step explanation:

It leaks 7 gallons in one hour so in 9 hours it leaks 9 times 7 = 63

The range of the given relation in the table is option C {-6,-3,0,3,6}

Here first column x represents the domain of the function

Domain is the set of all possible input for the function.

Second column y represents the range of the function

Range is the set of all possible output for the function.

Here the set of all possible inputs of the functions are {-5,-3,-1,1,3}

The set of all possible outcomes of the functions are {-6,-3,0,3,6}

Then the range of the relation in the table = {-6,-3,0,3,6}

Hence, the range of the given relation in the table is option C {-6,-3,0,3,6}

Learn more about range here

brainly.com/question/17553524

#SPJ1