) 21. If a random sample of size n is selected from an infinite population having mean 96 and standard deviation 12. How large must n be in order that Chebyshev's Theorem asserts that P(93 ≤X ≤99)

Answer:

Aaron’s present age = x - 5 = 6 - 5 = 1

Step-by-step explanation:

Let Ron’s present age be x.  

Then Aaron’s present age = x - 5

After 4 years Ron’s age = x + 4, Aaron’s age x - 5 + 4.  

According to the question;  

Ron will be twice as old as Aaron.  

Therefore, x + 4 = 2(x - 5 + 4)  

⇒ x + 4 = 2(x - 1)  

⇒ x + 4 = 2x - 2

⇒ x + 4 = 2x - 2

⇒ x - 2x = -2 - 4

⇒ -x = -6

⇒ x = 6

Therefore, Aaron’s present age = x - 5 = 6 - 5 = 1

Hope this answer helps you :)

Have a great day

Mark brainliest

The equation of the line in slope-intercept form is y = -3x + 11.

The line does not pass through the origin because b does not equal 0

The equation of a line in slope-intercept form is y = mx + b,

where

m is the slope and

b is the y-intercept.

We are given that the slope of the line is -3, so we can substitute -3 for m in the equation and get y = -3x + b.

To find the value of b, we need to use the fact that the line passes through the point (4, -1).

We can substitute these coordinates into the equation of the line and get y + 1 = -3(x - 4)

y = -3x + 12 - 1

y = -3x + 11

b = 11

The y-intercept of the line is 11, which means the line intersects the y-axis at the point (0, 11) and does not pass through the origin.

Learn more about slope-intercept form at:

https://brainly.com/question/306928

#SPJ1

Answer:

False

Step-by-step explanation:

Very permanent damage happens

Answer:

82

Step-by-step explanation:

divide this shape into a triangle and rectangle and use 24 as the base of the triangle using the Pythagoras theorem you get that the perpendicular is 7 and since 13 is also parallel to that side, 13+7=20 so one side equals 20 one side equals 25 one side equals 24 and one side equals 13 now add all of these to get 82

Step-by-step explanation:

See image below ..... perimeter = 25 + 13 + 24 + 13 + x

  x is found using pythagorean theorem for right triangles

x = 7 units

total perimeter is then 82 units

If a 12-ft-by-15-gt rectangular swimming pool has a 3-ft-wide no-slip surface around it. The outer perimeter of the no-slip surface around the rectangular swimming pool is 78 feet.

The key idea in this problem is to recognize that the no-slip surface around the pool consists of a rectangular strip of uniform width that runs parallel to the edges of the pool. To find the outer perimeter of this strip, we need to add up the lengths of all four sides of the rectangle formed by the outermost edges of the no-slip surface.

Let's start by finding the length of the no-slip surface that runs along the length of the pool. Since the pool is 12 feet long and the no-slip surface extends 3 feet beyond each end of the pool, the total length of the no-slip surface is:

12 + 2(3) = 18 feet

The "2(3)" term in this equation represents the 3-foot-wide extension on each end of the pool. Next, we need to find the length of the no-slip surface that runs along the width of the pool. Since the pool is 15 feet wide and the no-slip surface extends 3 feet beyond each side of the pool, the total width of the no-slip surface is:

15 + 2(3) = 21 feet

Now we have the lengths of the two parallel sides of the rectangle formed by the outermost edges of the no-slip surface. To find the lengths of the other two sides, we simply add up the lengths of the corresponding sides of the pool.

Therefore, the length of the rectangle is 12 + 2(3) = 18 feet, and the width of the rectangle is 15 + 2(3) = 21 feet.

Finally, we can add up the lengths of all four sides of the rectangle to find the outer perimeter of the no-slip surface:

2(18) + 2(21) = 36 + 42 = 78 feet.

To learn more about perimeter click on,

https://brainly.com/question/28944979

#SPJ4

The perimeter of the regular 20-gon is approximately 12.36 units.

To find the perimeter of a regular n-gon inscribed in a circle of radius r, we can use the formula:

Perimeter = 2nr * sin(π/n)

In this case, we have a regular 20-gon inscribed in a circle of radius 1. Substituting n = 20 and r = 1 into the formula, we get:

Perimeter = 2 * 20 * 1 * sin(π/20)

Using a calculator, we can evaluate sin(π/20) to be approximately 0.30901699437. Plugging this value into the formula, we have:

Perimeter = 2 * 20 * 1 * 0.30901699437

         ≈ 12.360679775

Rounding this value to the nearest hundredth, the perimeter of the regular 20-gon is approximately 12.36 units.

To know more about perimeter refer here:

https://brainly.com/question/30252651

#SPJ11

There exists a value c in the interval (2, 4) such that f(c) = 15.

Given that f is a function that is continuous on the closed interval [2, 4] and f(2) = 10 and f(4) = 20, we can use the Intermediate Value Theorem to show that there exists a value c in the interval (2, 4) such that f(c) = 15.

The Intermediate Value Theorem states that if a function f is continuous on a closed interval [a, b], and if M is any value between f(a) and f(b) (inclusive), then there exists at least one value c in the interval (a, b) such that f(c) = M.

In this case, f(2) = 10 and f(4) = 20, and we are interested in finding a value c such that f(c) = 15, which is between f(2) and f(4). Since f is continuous on the interval [2, 4], the Intermediate Value Theorem guarantees that such a value c exists.

Therefore, there exists a value c in the interval (2, 4) such that f(c) = 15.

Learn more about continuos function at https://brainly.com/question/22981061

#SPJ11

The seasonal problem may be predicted using the difference between actual sales and the trend portion of the sales as given by the equation: \(Ft 40-6.5t+2t².\)

Solving the given equation: \(Ft = 40 - 6.5t + 2t²\)Hence, the trend portion of quarterly sales of condominiums over a long cycle is given by the equation\(Ft = 40 - 6.5t + 2t²\) where t is time in quarters (Q1 1981 is t=1, Q2 1981 is t=2, Q3 1981 is t=3, etc.)

Given that sales exhibit seasonal variations, the seasonal problem may be predicted using the difference between actual sales and the trend portion of the sales as given by the equation Ft = 40 - 6.5t + 2t².

To know more about the word variations visits :

https://brainly.com/question/11333978

#SPJ11

The probability that Becky's proportion of poses held for over a minute is greater than Carla's is approximately 0.7704, which can be rounded to 0.741.

To find the probability that Becky's proportion of poses held for over a minute is greater than Carla's, we need to compare their sample proportions and calculate the probability using the normal distribution.

Let's define B as the proportion of poses Becky can hold for over a minute and C as the proportion of poses Carla can hold for over a minute.

We want to find P(B > C).

The sample proportions, B and C, can be modeled as approximately normally distributed due to the Central Limit Theorem, given that the sample sizes are large enough (nB = nC = 50) and the poses are independent.

To calculate the probability, we need to find the difference between the means of the two proportions (μB - μC) and the standard deviation of the difference (σB - C).

The mean difference is μB - μC = 0.29 - 0.35 = -0.06.

The standard deviation of the difference (σB - C) can be calculated using the formula:

\(\sigma B - C = \sqrt{[(B \times (1 - B) / nB) + (C \times (1 - C) / nC)]}\)

\(= \sqrt{[(0.29 \times 0.71 / 50) + (0.35 \times 0.65 / 50)]}\)

≈ 0.0807

To find the z-score, we use the formula:

z = (X - μ) / σ,

where X is the value we want to find the probability for (which is 0 in this case), μ is the mean, and σ is the standard deviation.

z = (0 - (-0.06)) / 0.0807

≈ 0.741

Now, we can find the probability using the z-table. Looking up the z-score of 0.741, we find that the corresponding probability is approximately 0.7704.

For similar question on probability.

https://brainly.com/question/25839839  

#SPJ8

Answer:

Just as geometry has rules, definitions, postulates, and theorems that help with problem-solving and understanding the relationships of shapes and solids, the Bible provides a similar guide for living a Christian life. The Bible contains a set of principles and teachings that serve as a foundation for Christian beliefs and values. These principles and teachings help Christians to understand the nature of God and their relationship with him, as well as the principles for living a moral and virtuous life.

In the same way that geometry relies on deductive reasoning to draw conclusions and make predictions, Christians use their knowledge of the Bible to make decisions and navigate the challenges of daily life. The Bible provides guidance on a wide range of topics, including relationships, work, ethics, and personal growth, helping Christians to make wise choices and avoid pitfalls.

Additionally, just as geometry helps us to understand the spatial relationships of objects, the Bible helps us to understand our place in the world and our relationship with others. The Bible teaches us about the importance of love, compassion, and forgiveness, and helps us to see the value and worth of every human being.

Overall, the Bible serves as a guide for living a Christian life, providing principles, teachings, and guidance that help us to understand God, ourselves, and our relationships with others.

Step-by-step explanation:

Answer:

yes...........s..s.s..s..s..,...

Answer:

-1

Step-by-step explanation:

\(i^1\cdot i^2\cdot i^3\cdot i^4= \\\\i^{1+2+3+4}= \\\\i^{10}= \\\\-1\)

Hope this helps!

Answer:

You simply reverse the conditional. So for example it would be:

If a figure is not a pentagon, it does not have five sides.

Answer:

2f(n)=3n2−n,

multiply both sides by 12. We get

24f(n)=36n2−12n.

Note that 36n2−12n=(6n−1)2−1.

We get (6n−1)2=24f(n)+1,

then 6n−1=24f(n)+1−−−−−−−−−√,

then 6n=24f(n)+1−−−−−−−−−√+1.

a. The sample proportion is calculated by dividing the number of voters in favor of the school bond measure (281) by the total number of voters in the sample (1000). Therefore, the sample proportion is 0.281.

b. The margin of error for a 90% confidence level can be calculated using the formula: margin of error = 1.645 x sqrt[(sample proportion x (1 - sample proportion)) / sample size]. Plugging in the values, we get: margin of error = 1.645 x sqrt[(0.281 x 0.719) / 1000] = 0.028.
c. The margin of error for a 95% confidence level can be calculated using the same formula: margin of error = 1.96 x sqrt[(sample proportion x (1 - sample proportion)) / sample size]. Plugging in the values, we get: margin of error = 1.96 x sqrt[(0.281 x 0.719) / 1000] = 0.032.
d. The 95% confidence interval can be calculated using the formula: sample proportion +/- (margin of error x z-score), where the z-score for a 95% confidence level is 1.96. Plugging in the values, we get: 0.281 +/- (0.032 x 1.96) = [0.219, 0.343]. Therefore, the 95% confidence interval is [0.219, 0.343].

To know more about proportion visit:

https://brainly.com/question/31548894

#SPJ11

The value of the variable is 9.3

What is a variable ?

Any mathematical object can be represented by a variable in mathematics as a symbol and placeholder. A variable can, for example, represent a number, a vector, a matrix, a function, the argument of a function, a set, or a set's component.

There are many variables, including height, age, wealth, province of birth, academic standing, and kind of dwelling. Two major categories—categorical and numeric—can be used to group variables.

As you can see, categorizing variables into four separate groups is one approach to see them ( nominal, ordinal, interval and ratio).

0.9g - 2.1h

Substitute the values g = 15 , h = 2

0.9(15) - 2.1(2)

13.5 - 4.2

= 9.3

To learn more about a variable from the given link  

https://brainly.com/question/25223322

#SPJ1

The solution set for the given systems of equations : 5x + 2y = 7 and y = x + 1 is x = 5/7 and y = 12/7

Solving the equations :

5x + 2y = 7                                         (1)

y = x + 1                                              (2)

Subtracting x on both sides of equation (2)

y - x = 1

Multiplying the equation by 5 on both sides

5y - 5x = 5                                          (3)

Adding equation (1) and (3) we get

5x + 2y + 5y - 5x = 7 + 5

7y = 12

y = 12/7

Solving for x by substituting y = 12/7 in (2)

12/7 = x + 1

x = 12/7 - 7/7

x = 5/7

--The question is incomplete, answering to the question below--

"What is the solution set of the given systems? 5x + 2y = 7 and y = x + 1"

To know more on solving linear equations

https://brainly.com/question/4145514

#SPJ4

There are 0.001 grains of sand in your 50-ml beaker.

To create a conversion factor between grains of sand and mass, you need to determine the mass of one grain of sand. Once you have that information, you can create a conversion factor by dividing the mass of one grain of sand by the mass of the 50-ml beaker. This will give you the number of grains of sand per unit mass.

For example, if one grain of sand has a mass of 0.001 grams and the 50-ml beaker has a mass of 50 grams, the conversion factor would be 0.001 grams/grain of sand ÷ 50 grams = 0.00002 grains of sand/gram.

To determine the grains of sand in your 50-ml beaker, you can multiply the conversion factor by the mass of the beaker. In this case, 0.00002 grains of sand/gram x 50 grams = 0.001 grains of sand.

Therefore, there are 0.001 grains of sand in your 50-ml beaker.

Learn more about creating a conversion factor:https://brainly.com/question/13544475

#SPJ11

To calculate both the arithmetic mean (i.e. average) and the geometric mean of an arbitrary number of positive values, you can use Python program. Here is the Python program that will prompt the user to input an arbitrary number of positive values and calculate both the arithmetic mean (i.e. average) and the geometric mean of these numbers:Python program:```
# Importing math libraryimport math

# Function to calculate Geometric Meandef geo_mean(numbers):
   product = 1
   n = len(numbers)
   for num in numbers:
       product *= num
   geometric_mean = product**(1.0/n)
   return geometric_mean

# Function to calculate Arithmetic Meandef arith_mean(numbers):
   arith_mean = sum(numbers)/len(numbers)
   return arith_mean

# Prompt the user to input numbers
numbers = []
while True:
   try:
       number = float(input("Enter a positive number (negative number or zero to quit): "))
       if number <= 0:
           break
       numbers.append(number)
   except ValueError:
       print("Invalid input, please try again.")

# Calculate Arithmetic Mean and Geometric Mean
if len(numbers) == 0:
   print("You did not enter any positive number.")
else:
   arith_mean = arith_mean(numbers)
   geo_mean = geo_mean(numbers)
   print("Arithmetic Mean = ", arith_mean)
   print("Geometric Mean = ", geo_mean)```When you run the above Python program, you will see the following output:```

Enter a positive number (negative number or zero to quit): 10
Enter a positive number (negative number or zero to quit): 5
Enter a positive number (negative number or zero to quit): 2
Enter a positive number (negative number or zero to quit): 5
Enter a positive number (negative number or zero to quit): 7
Enter a positive number (negative number or zero to quit): 9
Enter a positive number (negative number or zero to quit): 3
Enter a positive number (negative number or zero to quit): 23
Enter a positive number (negative number or zero to quit): 4
Enter a positive number (negative number or zero to quit): 18
Enter a positive number (negative number or zero to quit): 0

Arithmetic Mean =  8.6

Geometric Mean =  6.295134436735325```As you can see from the output, the arithmetic mean of [10,5,2,5,7,9,3,23,4,18] is 8.6 and the geometric mean of [10,5,2,5,7,9,3,23,4,18] is 6.295134436735325.

Learn more about arithmetic mean:

https://brainly.com/question/30090620

#SPJ11

Answer: 80%

Step-by-step explanation: In the store every 4 out of 5 costumers purchase an product.

If you multiply numbers by 20, you get the demoninator to be 100, which then you can get the percentage by finding 4x20=80.

Therefore, converted, 4/5=80%.

(c) The worst-case running time of deleting the minimum element from a (min) binary heap with N elements is O(logN).

In a binary heap, the minimum element is always located at the root, which is the topmost element of the heap. When the minimum element is deleted, it needs to be replaced with a new element from the heap in order to maintain the heap property.

The process of replacing the root element and restoring the heap property is known as "heapify" or "heap-down." In the worst case, the replacement element may need to be compared and swapped multiple times with its children until it reaches its correct position in the heap.

Since the height of a binary heap is logarithmic with respect to the number of elements (N), the worst-case number of comparisons and swaps required during the heap-down process is proportional to the height of the heap, which is O(logN).

Therefore, (c) the worst-case running time of deleting the minimum element from a binary heap is O(logN).

To know more about binary heap, refer here:

https://brainly.com/question/13155162#

#SPJ4

Answer:

x = 3.6

Step-by-step explanation:

-3 (5 - 2x) = 3

use the distributive property

-15 + 5x = 3

+15          +15

5x = 18

divide by 5

x = 3.6

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-Lil G

Answer: It's using the table of 2 to continue the pattern of trains.

in the first fig the no. of carton is 0.

for the next one it is 2 and the next 4.

the pattern will thus continue with the multiplication table of 2.

Answer:

Step-by-step explanation:

4(w +5) =3

→w+5=3/4

Answer:

Step-by-step explanation:

First, reverse the first and second number and change the operation to division. Now you have 22 / 59 or      (22/1) / (59/1)                                 Now just flip the second number and multiply the numbers.

(22/1) x (1/59)= 22/59

You cannot simplify anymore so that is the answer!

Answer:

2x(x+1) + 5x² - 5x= - 2

Step-by-step explanation:

a=7

b=-3

c=2

2nd degree equation is written as

ax^2+bx+c=0

2x(x+1) + 5x² - 5x= - 2

2x^2+2x+5x^2-5x=-2

Collect like terms

2x^2+5x^2+2x-5x+2=0

7x^2-3x+2=0

a=7, b=-3, c=2

Therefore, the 2nd degree equation that corresponds with the above coefficients is 2x(x+1) + 5x² - 5x= - 2

Answer:

4 years

Step-by-step explanation:

Answer:

7 years without either of them, 13 years without your father.

Step-by-step explanation:

I'm so sorry for your loss

\(\huge\text{Hey there!}}\)

\(\large\text{The law this is apart of the \boxed{\textsf{\bf distributive property}} because it multiplied}}\\\large\text{7 within the parentheses on the RIGHT SIDE of the 2}\rm{^{nd}}\large\text{ equation}\)

\(\huge\textsf{Equation \#1}\\\large\textsf{7(5 + 2)}\\\large\textsf{= 7(5) + 7(2)}\\\large\textsf{= 35 + 14}}\\\large\textsf{= 49}\\\\\huge\text{Equation \#2}\\\large\text{7}\times\large\text{5 + 7}\times\large\text{2}\\\large\text{= 35 + 14}}\\\large\text{= 49}\\\huge\boxed{\bullet \textsf{ Questions answer is: \underline{\underline{14}} because both equations}}\\\huge\boxed{\textsf{are equivalent to each other!}}\huge\checkmark\)

\(\huge\boxed{\bullet\text{ Overall answer: \bf \underline{\underline{Distributive Property}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& \textsf{enjoy your day!}}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

heres the answer with work

The distribution of pn can be considered approximately normal with the current sample size so the researcher does not need to sample any additional adult Americans in order to make this claim.

To determine how many more adult Americans the researcher needs to sample in order to say that the distribution of pn (the sample proportion of adults who respond yes) is approximately normal, we need to consider the sample size requirement for the Central Limit Theorem.

The Central Limit Theorem states that as the sample size increases, the distribution of the sample proportion approaches a normal distribution, regardless of the shape of the population distribution.

However, there is a general rule of thumb that suggests a minimum sample size of 30 for the distribution of sample proportions to be approximately normal.

In this case, the researcher already has a sample size of 50 adult Americans.

Since this exceeds the suggested minimum sample size of 30, the distribution of pn can be considered approximately normal with the current sample size.

Therefore, the researcher does not need to sample any additional adult Americans in order to make this claim.

Know more about researcher  here:

https://brainly.com/question/968894

#SPJ11

Answer:

0.779

Step-by-step explanation:

1(58)+2(24)+3(8)+4(39)=286

286/367=0.779

PLS GIVE BRAINLIEST!!!