find the runtime of the following recurrence relation using a recurrence tree: T(n) = T(n/5) + T(7n/10) + O(n)Hint: use the longest simple path for your summation

Answer:

area of whole pizza = 200.96 in²

area of slice of pizza = 25.12 in²

Step-by-step explanation:

16"/2 = 8" radius

area = πr² = (3.14)(8²) = 200.96 in²

200.96 in²/8 = 25.12 in²

Answer:

A) (5)(0.6) x 7  = 3 x 7 =21

B) (C) (15) + 8

C) 4. (8 + 2) = 2  = 4(10)

D) 14 + 4(2 + 3)​  = 14 + 4(5) = 14 + 20 =34

Sorry not clear your question

Step-by-step explanation:

The statement for all possible combinations of truth values for its variables. This can help identify patterns and simplify the expression.

To simplify a complicated expression in formal logic, you can use various techniques such as logical equivalences, truth tables, and laws of logic. The goal is to reduce the expression to its simplest form, making it easier to analyze and understand.

Here are some steps you can follow to simplify the statement "s":

1. Identify the logical operators: Look for logical operators like AND (∧), OR (∨), and NOT (¬) in the expression. These operators help connect different parts of the statement.

2. Apply logical equivalences: Use logical equivalences to transform the expression into an equivalent, but simpler form. For example, you can use De Morgan's laws to convert negations of conjunctions or disjunctions.

3. Simplify using truth tables: Construct a truth table for the expression to determine the truth values of the statement for all possible combinations of truth values for its variables. This can help identify patterns and simplify the expression.

4. Use laws of logic: Apply laws of logic such as the distributive law, commutative law, or associative law to simplify the expression further. These laws allow you to rearrange the terms or combine similar terms.

5. Keep simplifying: Repeat the steps above until you cannot simplify the expression any further. This ensures that you have reached the simplest form of the expression.

To know more about expression, visit:

https://brainly.com/question/34132400

#SPJ11

A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

To know more about significance level:

https://brainly.com/question/4599596

#SPJ4

Answer:

$8190

Step-by-step explanation:

It's A.................

By using Chebyshev's inequality formula, the number of practitioners we must sample from each category so that we can estimate the average continuous time of administering anesthesia to within a bound of .15 is 482, 1190, and 1500 respectively.

Assume that we have 10000 people that practice anesthesiology and that it costs $5 to measure an anesthesiologist, $8 to measure a resident and $10 to measure a nurse.

Let's solve the problem using Chebyshev's inequality formula: Chebyshev's inequality formula states that

P(|X-μ|≥kσ)≤1/k₂, where X is a random variable, μ is the mean of X, and σ is the standard deviation of X. Now, let's solve for k using the formula: k= bound/σ. Here, the bound is 0.15. Hence, we have to find the standard deviation of each category, which can be calculated using the following formula:

σ=√((∑(Xi-μ)^2)/N), where Xi is the value of X, μ is the mean, and N is the total number of values in the sample.

The average continuous time of administering anesthesia for each category is given as:

Anesthesiologist - 3.5 hours Resident - 4.2 hours Nurse - 4.8 hours

Hence, using the formula above, we get:

σ(Anesthesiologist)=√(((3.5-3.5)2+(4-3.5)2+(4.5-3.5)2+(5-3.5)2+(5.5-3.5)2)/5) ⇒ 0.89443

σ(Resident)=√(((4.5-4.2)2+(5-4.2)2+(5.5-4.2)2+(6-4.2)2+(6.5-4.2)2)/5) ⇒ 0.91576

σ(Nurse) =√(((5-4.8)2+(5.5-4.8)2+(6-4.8)2+(6.5-4.8)2+(7-4.8)2)/5) ⇒ 0.9083

Now, substituting the values in the formula k= bound/σ, we get:

k(Anesthesiologist)=0.15/0.89443 ⇒ 0.1674

k(Resident)=0.15/0.91576 ⇒ 0.1637

k(Nurse)=0.15/0.9083 ⇒ 0.1651

Now, using the formula P(|X-μ| ≥ kσ) ≤ 1/k₂, we can solve for the sample size.

The sample size for each category is given as:

n= 1/k₂P(|X-μ|≥kσ)

Hence, for each category, we have:

n = 1/0.16742P(|X-3.5| ≥ 0.5946) ≤ 0.0237

n ≈ 481.9 ≈ 482

n = 1/0.16372P(|X-4.2|≥0.6072) ≤ 0.0248

n ≈ 1189.8 ≈ 1190

n = 1/0.16512P(|X-4.8| ≥ 0.5984) ≤ 0.024

n ≈ 1499.8 ≈ 1500

Hence, we need to sample 482 practitioners from the anesthesiologist category, 1190 practitioners from the resident category, and 1500 practitioners from the nurse category.

To know more about "Chebyshev's inequality formula": https://brainly.com/question/29845321

#SPJ11

Answer:

16 + 64 + 64 are the 3 sides.

Step-by-step explanation:

There are two sides that are 4 times the third side.

Let the 3rd side = x

4x + 4x + x = 144 inchines

9x = 144 inches

x = 144/9

x = 16 inches.

So the base (which is the smallest side) = 16 inches.

One of the two sides remaining is 4x = 4*16 = 64

The other side = 64

Check

64 + 64 + 16 = 144 as it should.

Answer:

Step-by-step explanation:e

Answer:

38.40

Step-by-step explanation:

I just took the test

Answer: TRUE

SUIIIIIIIII

The statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

A subspace is a vector space that is also encompassed within another vector space.

So, while each subspace is a vector space in its own right, it is also defined with respect to another (bigger) vector space.

Three components must be demonstrated to prove that a subset is a subspace:

Additionally, demonstrate that it is closed.

Show that it is closed when scalar multiplication is used.

Show that vector 0 is a part of the subset.

As it is stated in the question;

h represents a subset of the vector space v.

The zero vector is contained in h.

This implies that h must be in the v subspace.

Hence, the statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

To learn more about the subspace of vectors click here

brainly.com/question/28709891

#SPJ12

Answer:

The mass of the meat when thawed is 7.72 kg (0.28 kg is lost)

Step-by-step explanation:

From the question, we are told that the weight loss amount is 8% of its initial weight

The mass lost here when thawed will be;

8/100 * 3.5 = 0.28 kg

So the mass of the joint will be;

8-0.28 = 7.72 kg

Answer:

35

Step-by-step explanation:

Only if u put x as 35 will the whole triangle sum equal 180 as necessary for the theorem to be true.

Answer:

I am

Step-by-step explanation:

I’m stuck on points

The probability that the sample mean will be between 8 and 14 is approximately 0.785 or 78.5%. The 15th percentile of the population is 2.57.

To find the probability that the sample mean will be between 8 and 14, we need to calculate the standard error of the mean (SEM) first. The SEM is the standard deviation of the sampling distribution of the mean, and it is given by the formula SEM = σ/√n, where σ is the population standard deviation and n is the sample size.

In this case, σ = 12 and n = 75, so SEM = 12/√75 ≈ 1.386.

Next, we need to standardize the sample mean using the standard normal distribution, which has a mean of 0 and a standard deviation of 1. We do this by calculating the z-score for each endpoint of the interval:

z1 = (8 - 10) / 1.386 ≈ -1.441

z2 = (14 - 10) / 1.386 ≈ 2.882

We then use a standard normal distribution table or calculator to find the area under the curve between these two z-scores. Alternatively, we can use the formula for the cumulative distribution function (CDF) of the standard normal distribution:

P(-1.441 < Z < 2.882) ≈ Φ(2.882) - Φ(-1.441) ≈ 0.985 - 0.204 ≈ 0.785

So, the probability that the sample mean will be between 8 and 14 is approximately 0.785 or 78.5%.

To find the 15th percentile of the population, we use the inverse of the CDF of the standard normal distribution. That is, we find the z-score that corresponds to a cumulative probability of 0.15:

Φ(z) = 0.15

z ≈ -1.036

Finally, we use the formula for the sample mean in terms of the standard normal distribution to find the corresponding value in the original units:

X = μ + z(σ/√n)

X = 10 + (-1.036)(12/√75)

X ≈ 2.57

Therefore, the 15th percentile of the population is 2.57

To learn more about Probability here:

brainly.com/question/30034780#

#SPJ11

A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

What is a confidence interval?

A confidence interval (CI) is a range of values that, with a particular level of certainty, is likely to encompass a population value. A population mean that sits between an upper and lower interval is frequently stated as a percentage.

Here,

From the standard normal table, the z-critical value at 98% confidence interval is 2.33 so,

98%C.I. = µ ± z * σ /   n = 98.90 ± 2.33 * 42.30 / sqrt of 16  = 98.90 ± 24.64 = 74.26 to 125.54

The mean wake time of 102.80 minutes before the treatment due to the mean wake time of 102.80 minutes included in the 98% confidence interval which is between 74.26 and 125.54. Zopiclone does not appear effective.

Hence, A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

To learn more about the confidence interval from the given link

https://brainly.com/question/26658887

#SPJ4

Answer:

correct answer is : To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

Answer:

All real numbers make this answer true: so x= all real numbers

Step-by-step explanation:

We have to change the oz to lb. So we get that

so the problem goes as

and that is

It is one of the most fundamental curvilinear geometric shapes, a cylinder has historically been thought of as a three-dimensional solid. It is considered a prism with a circle as its base in basic geometry.

the area of mathematics that focuses on the characteristics and connections between points, lines, surfaces, solids, and their higher dimensional equivalents.

We can find the solution this way,

The volume of water in the Cylinder before marbles were dropped in =

The volume of water in the Cylinder After marbles were dropped in -

Volume of marbles

So, we can write it as,

Volume of water before = Volume of water after - Volume of Marbles

To learn more about Volume, visit:

https://brainly.com/question/14197390

#SPJ1

Concept: "Logos" has had a significant impact on Western thought. Importance: its recognition of the interplay between rational thought and empirical observation Acknowledgement: role of language and discourse in shaping our understanding of the world.

Topic: The concept of "Logos" in Greek philosophy and its significance in modern scientific fields.

The concept of "Logos" is central to Greek philosophy and has been interpreted in various ways throughout history. In its most basic sense, "Logos" refers to rational thought, speech, and language. It is often associated with the divine or the cosmic principle that governs the universe, as well as human reasoning and discourse.

The significance of "Logos" can be seen in its influence on modern scientific fields, including biology, psychology, and technology, among others. The term "biology," for example, comes from the Greek words "bios" (life) and "logos" (word or reason), reflecting the idea that the study of life requires both empirical observation and rational analysis.

Similarly, the field of psychology, which deals with the workings of the human mind and behavior, derives its name from the Greek word "psyche," meaning "soul," and "logos," meaning "reason." This reflects the idea that the study of the mind and behavior requires both empirical research and theoretical analysis.

Learn more about concept here:

https://brainly.com/question/31038302

#SPJ4

Translation: The Greek word "logos" is typically interpreted as the pinnacle of Western rationalist civilization, having been established by the first schools of classical philosophy. In reality, he is responsible for the names of many scientific fields, including biology, philology, psychology, technology, and others. Since it requires both mind and action, internal and external, the mental notion and pronouncing the word, the concept of "logos" does not have such an abstract meaning. Topic:____________________________________________________ Principal Concept:

The average velocity for the [3,4] is 27m/s and for [4,5] is 37m/s

The average velocity can be found by taking the derivative of the position function and evaluating it at the midpoint of the interval.

The average velocity on the interval [3,4] is given by (s(4) - s(3)) / (4 - 3), which is equal to (s(4) - s(3)) / 1. Using the position function, s(t) = 5t^2 - 8t + 13, we find that s(4) = 5(4²) - 8(4) + 13 = 61 and s(3) = 5(3²) - 8(3) + 13 = 34. Therefore, the average velocity on the interval [3,4] is (61 - 34) / 1 = 27 m/s.

The average velocity on the interval [4,5] is given by (s(5) - s(4)) / (5 - 4), which is equal to (s(5) - s(4)) / 1. Using the position function, s(t) = 5t² - 8t + 13, we find that s(5) = 5(5²) - 8(5) + 13 = 98 and s(4) = 5(4²) - 8(4) + 13 = 61. Therefore, the average velocity on the interval [4,5] is (98 - 61) / 1 = 37 m/s.

To know more about average velocity click on below link:

https://brainly.com/question/862972#

#SPJ11

The number line shows the subtraction expression -4-9 which is stated by option (c).

A line with numbers at intervals that can be used to demonstrate basic numerical operations such as addition and subtraction.

We can see from the diagram that the first arrow in the number line goes from 0 to -4. Similarly, we can see from the figure that the second arrow in the number line begins at -4 and ends at -13, for a total of -9. Therefore we can say that the given representation of the number line shows the subtraction expression of -4-9.

For more information on number line, visit:

https://brainly.com/question/557284

#SPJ13

Answer:

1780

Step-by-step explanation:

first number is the tens next is the hundreds then the thousands the number after eight is only one so you round down

The proof of inequality of |f(z0)| ≤ |g(z0)|, is given by the Maximum Modulus Principle.

The proof for the inequality |f(z)| ≤ |g(z)|, which holds on all z ∈ ∂D, to also hold for all z ∈ D, given that g(z) ≠ 0 for all z ∈ D ∪ ∂D, is as follows:

By considering the function G(z) = f(z)/g(z), we note that G(z) is analytic and continuous on D ∪ ∂D, and that G(z) is bounded by 1 for z ∈ ∂D, since;

|G(z)| = |f(z)/g(z)| ≤ |g(z)|/|g(z)| = 1;

for all z ∈ ∂D.

By the Maximum Modulus Principle, which states that;

If G(z) is analytic and continuous on a bounded domain D and continuous on D and its boundary ∂D, and is bounded on ∂D, then |G(z)| is also bounded on D.

In other words, the Maximum Modulus Principle says that, the maximum modulus of G(z) on D occurs on ∂D.

Therefore, there exists some point z0 ∈ D such that;

|G(z0)| = max{|G(z)| : z ∈ D};

Since |G(z)| ≤ 1 for all z ∈ ∂D, it follows that;

|G(z0)| ≤ 1;

Now, since G(z0) = f(z0)/g(z0), we have;

|f(z0)/g(z0)| ≤ 1.

This implies that; |f(z0)| ≤ |g(z0)|.

Hence, |f(z)| ≤ |g(z)| for all z ∈ D.

Learn more about Maximum Modulus Principle visit:

brainly.com/question/32554457

#SPJ11

Answer:

13) cos D = 0.4706

14) cos G = 0.28

15) cos M = 0.6667

Step-by-step explanation:

13) Cos D = 8/17 = 0.4706

14) GI² = 7² + 24²

GI² = 49 + 576 = 625

GI = 25

cos G = 7/25 = 0.28

15) MN² = 3²- (√5)²

MN² = 9 - 5 = 4

MN = 2

cos M = 2/3 = 0.6667

Answer:

Step-by-step explanation:

Using equations, let's solve. In the problem, it said that he ran at 200 meters per minute.

Then, it said that "After 400m, he is tired and immediately slows to a rate of 100  meters per minute."

Hence, it took him 3 minutes to get to Lexington.

Hoped this helped.

\(BrainiacUser1357\)