The average age of a breed of dog is 19. 5 years. If the distribution of their ages is normal and 20% of dogs are older than 22. 6 years, find the standard deviation
Answers
The standard deviation of the ages of this breed of dog is approximately 4.4 years.
To find the standard deviation, we can use the concept of z-scores and the cumulative distribution function (CDF) of a standard normal distribution. Let's denote the average age as μ (mu) and the standard deviation as σ (sigma).
Given that the average age of the breed is 19.5 years, we can set μ = 19.5. We are also given that 20% of the dogs are older than 22.6 years. Using the z-score formula, we can calculate the z-score corresponding to this percentile:
z = (x - μ) / σ
Where x is the given value (22.6 years) and z is the z-score. Rearranging the formula, we can solve for σ:
σ = (x - μ) / z
Plugging in the values, we have:
σ = (22.6 - 19.5) / z
To find the z-score corresponding to the 20th percentile, we can use the inverse CDF of the standard normal distribution. Using statistical software or a z-table, we find that the z-score corresponding to the 20th percentile is approximately -0.84.
Substituting the values, we get:
σ = (22.6 - 19.5) / -0.84 ≈ 3.7 / -0.84 ≈ -4.4
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The average age of a breed of dog \(= μ = 19.5\) yearsThe percentage of dogs that are older than 22.6 years = 20%Let's calculate the z-score of the given percentage\(:z = (x - μ) / σ20 = (22.6 - 19.5) / σσ = (22.6 - 19.5) / 0.84σ = 3.69 / 0.84σ = 4.39\) (approximately)
Therefore, the standard deviation is approximately 4.39 years.Explanation:Given, the average age of a breed of dog\(= μ = 19.5\)yearsThe percentage of dogs that are older than 22.6 years = 20%Let's calculate the z-score of the given percentage:z = (x - μ) / σ
Where\(,x = 22.6μ = 19.5σ =\)Standard deviationThen,\(20 = (22.6 - 19.5) / σσ = (22.6 - 19.5) / 0.84σ = 3.69 / 0.84σ = 4.39\)(approximately)Therefore, the standard deviation is approximately 4.39 years.
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Related Questions
Given that events A and B are independent with
P
(
A
)
=
0.64
P(A)=0.64 and
P
(
A
and
B
)
=
0.48
P
(
B
)
P(B), rounding to the nearest thousandth, if necessary.
Answers
The probability of event B occurring based on the question requirements is P(B), is 0.75.
How to solveFor two independent events A and B, the probability of both A and B occurring, P(A and B), is the product of their individual probabilities, P(A) and P(B).
So, P(A and B) = P(A) * P(B).
Given P(A) = 0.64 and P(A and B) = 0.48, you can solve for P(B) by dividing P(A and B) by P(A), i.e., P(B) = P(A and B) / P(A).
Substituting the given values, P(B) = 0.48 / 0.64 = 0.75.
Therefore, the probability of event B occurring, P(B), is 0.75.
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If x is an integer, which of the following must
be an even integer?
A. x2-x-1
B. x2 - 4x + 6
C. x2 - 5x + 5
D. x2 + 3x-8
E. x2 + 2x - 10
Answers
Question 8 of 25
The exact same experiment was conducted 15 times. How many times
should the results have been similar for them to be valid?
A. 15
B. 9
C. 8
D. 6
Answers
To consider the results of the 15 experiments valid, they should be similar in at least 8 of the trials . So, option C is the right choice.
To determine the number of times the results should be similar for them to be considered valid, we need to establish a threshold based on the number of experiments conducted. In this case, the experiment was repeated 15 times.
To determine the minimum number of times the results should be similar for validity, we can calculate the majority. We divide the total number of trials by 2 and add 1. In this case, 15 divided by 2 equals 7.5, and adding 1 gives us 8.
Therefore, for the results to be considered valid, they should be similar in at least 8 out of the 15 trials. This threshold ensures that the majority of the experiments produced consistent results, indicating reliability and reproducibility.
Thus, The correct answer is option C.8
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The double number line shows that 42 4242 people watched Deon's new video today. A double number line with 2 tick marks. The line labeled People, reads from left to right: 0, 42. The line labeled Percentage, reads from left to right: 0 percent, 100 percent. A double number line with 2 tick marks. The line labeled People, reads from left to right: 0, 42. The line labeled Percentage, reads from left to right: 0 percent, 100 percent. Complete the table to show different percentages of the number of people who watched the video.
Answers
At 10% know that 10% of the total number of people watched the video so it would be 10% of 42,424 is 4,242.
To complete the table showing different percentages of the number of people who watched the video can use the provided double number line.
Here's an example of how the table could be completed:
Percentage People
0% 0
25% 10,606
50% 21,212
75% 31,818
100% 42,424
The corresponding number of people for a given percentage can use the scale of the double number line.
To determine the number of people for 25%:
Locate 25% on the "Percentage" line.
Draw a vertical line from 25% until it intersects with the "People" line.
The corresponding value on the "People" line is approximately 10,606.
The other percentages can be determined by following the same process.
The values provided in the table are approximate and may vary slightly depending on the accuracy of the double number line and the scale used.
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18
Truck A leaves a loading dock and averages 40 miles
per hour until it makes a stop in Dover County. Truck B
leaves the same loading dock two hours after Truck A and
averages 60 miles per hour until it makes a stop in Dover
County as well. If both trucks arrive in Dover County at
the same time, how many miles is Dover County from the
loading dock?
Answers
Answer: 240 miles
Explanation: Since Truck A moves 40 miles in one hour, we can say that the truck traveled 40 miles after 1 hour, 80 miles after 2 hours, 120 miles after 3 hours, 160 miles after 4 hours, 200 miles after 5 hours, and 240 miles after 6 hours.
Now since Truck B moves 60 miles in one hour, it moved 60 miles in one hour, 120 miles in 2 hours, 180 miles in 3 hours, and 240 miles in 4 hours.
So when the question tells you that both trucks arrived at the same time, you can find the answer by looking for the distance where the two trucks met. So in this case, it would be 240 miles because Truck A took 6 hours to get to 240 miles and Truck B took 4 hours to get to 240 miles and since Truck A moved 2 hours ahead of Truck B, the answer would be correct.
Therefore, Dover county is 240 miles away from the loading dock.
Sorry about the bad explanation (the answer is correct though)
Your friend, suzie whitson, has designed a new type of outdoor toy that helps children learn basic concepts such as colors, numbers, and shapes. Suzie’s product will target two groups: day care centers in warm climates and home school programs. Her company is jiffy jet and costs for last month follow:.
Answers
From the information, the value of the direct material is $4130 and the direct labor cost will be $39200.
How to calculate costFrom the complete information, direct material is $4130. The direct labor cost will be:
= $31700 + $7500
= $39200
The manufacturing overhead will be:
= $3110 + $560 + $820 + $3600 + $195 + $210 + $1120 + 2120
= $11735
Prime cost will be:
= Direct material + Direct labor
= $4130 + $39200
= $43330
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Triangle P R Q is shown. The length of side P R is 5 n. The length of side R Q is 32 n. Angles R P Q and P Q R are congruent. What is the length of PR? units
Answers
Answer: 32n
Explanation:
Because angles RPQ and PQR are congruent, the triangle is isosceles, meaning sides RQ and PR are congruent.
Answer:
40
Explanation:
which part of completing the tourism skills assessment task did you struggle the most with and why
Answers
One common challenge in completing a tourism skills assessment task could be the need for a comprehensive understanding of the tourism industry.
The assessment may require knowledge of various aspects such as travel destinations, hospitality management, customer service, marketing strategies, and cultural awareness. Gathering and organizing this information accurately can be time-consuming and require extensive research.
Additionally, the assessment might include scenarios or case studies that require critical thinking and problem-solving skills. Analyzing and interpreting the given information to make informed decisions can pose a challenge, especially if the scenarios are complex or involve unfamiliar contexts.
Moreover, time management could be another difficulty. Some assessments may have time constraints, and managing time effectively to answer all questions within the given timeframe can be demanding.
To overcome these challenges, it is essential to prepare by studying relevant materials, practicing problem-solving exercises, and developing effective time management strategies.
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write the infinitives for sentences without infinitive right none: Ringo the cat likes to nap indoors every morning
Answers
There is already an infinitive in the sentence: "to nap". The infinitive in this sentence is "to nap".
Define infinitive.
An infinitive is a grammatical term used to describe the basic or root form of a verb. In English, infinitives are usually preceded by the word "to," such as in "to walk," "to eat," "to sing," etc. Infinitives can be used as a noun, adjectives, or adverbs in a sentence, and they can function as the subject, object, complement, or modifiers of a sentence.
The infinitive is a grammatical term that refers to the basic form of a verb, usually preceded by the word "to." In the sentence "Ringo the cat likes to nap indoors every morning," the infinitive is "to nap, "It is the verb's basic form when the preposition "to" is added. The infinitive in this sentence is used to express the action that Ringo the cat enjoys doing, which is taking a nap indoors every morning.
Therefore, "To nap" serves as the sentence's infinitive.
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Sammy incorrectly solves the equation 1/3 (x +9) = 8. Her work is shown below. Which step shows an error based on the equation only from the previous step. Select all that apply.
Answers
Answer:
15
Explanation:
Well obviously her work is not shown below, at least for me, so I will just solve the equation.
1/3x+3=8
1/3x=5
X=15
the production of cans sequentially in the factory: (guava-strawberry-mango-pineapple). what is the can number 321?
Answers
Answer: Guava
Explanation:
321/4 = 80.25
this means there will be 80 full "revolutions" of four cans, and 0.25, or 1/4th of a rotation.
it will end on Guava
A rectangle, a triangle, and two congruent semicircles were used to form the figure shown. Which measurement is closest to the area of the figure in square centimeters?
Answers
The closest measurement of the area of the given figure is; 67 cm²
How to find the area of an Irregular Shape?From the attached image, we can get;
Area of rectangle = 8 * 6 = 48 cm²
Area of triangle = ¹/₂ * 6 * 4 = 12 cm²
Area of 2 semi circles = 2 * (¹/₂ * π * 3²/4) = 7 cm²
Total Area = 48 + 12 + 7
Total Area = 67 cm²
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How does the different forms of ownership contribute to sustainable job creation
Answers
Answer:Job creation and economic growth are related. Job creation is necessary because, the more people work the more the economy become stable. Economic stability is needed before people can start making big investments in themselves and their children.
Explanation:
I. A coin is tossed four times. The probability is ¼ or 0. 25 that all four tosses will result in a head face up. Ii. A coin is tossed four times. The probability is 1/8 or 0. 125 that all four tosses will result in a head face up. Iii. If two events are mutually exclusive, then P(A or B) = P(A)P(B). (i), (ii) and (iii) are all correct statements. (i) and, (ii) are correct statements but not (iii). (i) and, (iii) are correct statements but not (ii). (ii) and, (iii) are correct statements but not (i)
Answers
The correct answer is (ii) and (iii) are correct statements but not (i).
Explanation:
(i) states that the probability of getting four heads in four tosses of a coin is 1/4 or 0.25, which is incorrect. The probability of getting four heads in four tosses of a fair coin is (1/2)^4 = 1/16 = 0.0625.
(ii) states that the probability of getting four heads in four tosses of a coin is 1/8 or 0.125, which is correct. The probability of getting four heads in four tosses of a fair coin is (1/2)^4 = 1/16 = 0.0625, which is equal to 1/8.
(iii) is a correct statement and is known as the addition rule for mutually exclusive events. It states that if two events A and B are mutually exclusive, meaning that they cannot occur at the same time, then the probability of either A or B occurring is equal to the sum of their individual probabilities, i.e., P(A or B) = P(A) + P(B).
Define the following sequence recursively: { 8, 4, 2, 1...}
Answers
Why can Dry food such as instant noodles, biscuits and potato chips be stored for a long time
Answers
Answer:
Dry foods such as instant noodles, biscuits and potato chips can be stored for a long time because they contain very little moisture. Moisture is what causes food to spoil quickly. Dry foods that contain less than 10 percent of moisture are the perfect candidates for long-term storage. Anything higher than ten could be difficult. 13% is a crucial number, with any foods higher than that posing too high of risk towards bacteria, mold, and fungus growth.
To store dry food properly, it should be kept in a cool and dry place. The storage temperature helps determine the length of storage; the higher the temperature, the shorter the storage time. Dried foods are susceptible to insect contamination and moisture reabsorption and must be properly packaged and stored immediately.
Explanation:
Hope this helps
Answer:
well exposing this things to air can make them spoil meaning they put preservatives in the packet of the biscuits the preservatives arent perment so they could spoil in the case,while exposing them to air can make them soft leading to spoilage
Complete the Module 6 Discussion Board: Schwartz. Pick out at least two interesting ideas presented in the Schwartz readings for this week. Share the concepts in your own words, implications for your own thinking and questions you may have
Answers
In the Schwartz readings for this week, I came across two interesting ideas.
What were the ideas?The first concept is about intrinsic and extrinsic motivation. Schwartz discusses how intrinsic motivation, which comes from personal enjoyment and interest in an activity, leads to greater satisfaction and long-term engagement compared to extrinsic motivation, which involves external rewards.
This made me reflect on the importance of finding intrinsic motivation in my own studies and activities.
The second idea is the paradox of choice, where having too many choices can lead to decision paralysis and dissatisfaction.
I'm curious to explore strategies to overcome this paradox and make more effective decisions in my college life.
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As time passed, the island of Oahu became increasingly smaller. Why did this happen?
Answers
because u no that their is no time for bad things to happen
What is the quotient of the complex numbers below?
3 +2i/1-5i
Answers
Answer: B
Explanation: This is the answer because you need to multiply the fractions together
Dale works as an insurance underwriter. What kind of education would Dale likely have needed for this position?
a) apprenticeship with a car mechanic
b) bachelor’s degree in finance
c) master’s degree in investing
d) doctorate in mathematics
Answers
Answer:
b) bachelor’s degree in finance
Explanation:
i took the test
In addition to deep sea organisms, there are many species found throughout the ocean. the numbers and relative proportions of bacteria and archaea change with depth in response to changing conditions. viruses that infect the prokaryotic organisms play a variety of important roles in this habitat, including control of their overall numbers and facilitation of horizontal gene transfer. choose whether each statement best describes bacteria, archaea, or viruses.
Answers
The statements are not found in the question but it is important to highlight that viruses are not living forms and bacteria and archaea are prokaryotic organisms.
What are prokaryotic organisms?Prokaryotic organisms such as bacteria and Archaea are simpler forms of life that lack a cell nucleus and membrane-bound organelles.
Viruses are not living things because they need a suitable host to survive (i.e., viruses are replicative entities).
Some characteristics of Archaea include:
Most Archaea that live below 1000 m are ammonia oxidizers.They increase to 50% of prokaryotes below 1000 m.The major phylum below 1000 m is Thaumarchaeota.Learn more about prokaryotic organisms here:
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A triangle has sides with lengths of 7 meters, 14 meters, and 17 meters. Is it a right triangle?
Answers
No, it is not a right angled triangle.
For a right angled triangle, Acc. to Pythagoras theorem:-
Hypotenuse²= Base² + Perpendicular²
Hypotenuse is the longest side of the triangle.
For the given triangle, Hypotenuse= 17
17² ≠ 14² + 7²
289 ≠245.
Hence, it is not a right angled triangle.
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Robert, John, Enrique, Mark, and Thomas participate in a 2-mile run during gym class. The total average of all 5 runners is
15.3 minutes, and the average of Robert, John, and Enrique is 14.4 minutes. What is the average time for Mark and Thomas?
Answers
Answer:
Explanation:
Robert + John + Enrique + Mark + Thomas = 15.3 ------(1)
Robert + John + Enrique = 14.4 -------(2)
Putting value in Equation 1:
14.4 + Mark + Thomas = 15.3
Hence:
Mark + Thomas = 0.9
Congrats to the class of 2021!!!!!!!!
Answers
Yeah, it's going good. How much we pretend to study. Now we get a long break from studying (•‿•)
Read the following paragraph from the article "How Social Stress Makes Your Brain Vulnerable to Depression," written by
Andy Coghlan in the online edition of New Scientist magazine, published on November 13, 2017:
Social stress can trigger changes in the brain that open the door to depression. Experiments in human brains and mice
suggest that experiences such as bullying make the blood-brain barrier leaky, letting inflammation into the brain and altering
mood.
Which of the options below most correctly and effectively incorporates this source material? (Either APA or MLA style citations
are acceptable.)
Bullying makes your brain leak, according to a shocking new study reported in New Scientist (Coghlan, 2017)!
O
In "How Social Stress Makes Your Brain Vulnerable to Depression," Andy Coghlan (2017) explains how "brains and
mice" can develop depression in unpleasant social situations.
The study shows that emotional experiences can cause physical changes in the brain that lead to depression. (Coghlan,
2017).
O Coghlan (2017) describes how stress can spark changes in the brain that open the way to depression.
Answers
The most appropriate option that effectively incorporates the source material is: Coghlan (2017) describes how stress can spark changes in the brain that open the way to depression.
How is the article written?In his 2017 article titled "The Link Between Social Stress and Depression," Andy Coghlan explores the correlation between these two factors impacting brain vulnerability.
According to Coghlan, the brain can undergo alterations as a result of events such as bullying, which can cause the blood-brain barrier to become permeable and enable inflammation to enter.
The change in brain activity has the potential to impact emotions and may lead to the onset of depression. Cognizant of the effects of emotional encounters on brain structure, Coghlan's discoveries underscore the correlation between social pressure and mental health ailments.
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Roles and functions of agricultural extension
Answers
Triangle J K L is shown. Point N is the midpoint of side J L and point M is the midpoint of side K L. The length of J K is 19. 6 meters. The lengths of J N and N L are 7. 4 meters. The lengths of K M and M L are 10. 7 meters. What is the distance between points M and N? meters.
Answers
Answer:
9.8
Explanation:
just did assignment
How does gravity influence our solar system?? Claim evidence reasoning
Answers
Answer:
The Sun's gravity pulls the planets in orbit around it, and some planets pull moons in orbit around them. Even spacecraft are in motion through the solar system, either in orbit around the Earth or Moon, or traveling to further worlds, because of gravitational forces.
Explanation:
hope it helps you and give me a brainliest
Answer:
Gravity influences our solar system by surrounding planets with this force. Gravity is like the force holding us up and down, in short words, what keeps everything in or out of place. Let's say that this computer is on my desk, which is caused by gravity. Gravity is causing my computer to stay on my desk right now. This also influences our solar systems, however, gravity is much different there, because gravity has to ensure that the planets stay put in the solar system. For instance, the gravity on the moon influences earth because the gravitational pull causes ocean tides. Gravity also creates stars using material in the solar system from which stars are made.
Question 2(Multiple Choice Worth 5 points)
(02. 05 MC)
In 2022, a study at Get Well Pediatrics found that 20% of its patients were allergic to pet dander. The study also showed that 20% of patients who were allergic to pet
dander tested negative, while 5% of the patients who were not allergic tested positive. The relative frequency table summarizes the data.
Positive Negative Total
Allergic to Pet Dander
16%
20%
Not Allergic to Pet Dander 4%
80%
Total
20%
100%
Determine the ratio of false positives to true positives.
O
O
14
O
113
O
116
4%
76%
80%
17/1/2
0
Answers
The ratio of false positives to true positives from the table is given as follows:
1/3.
How to calculate the ratio?The ratio between two amounts a and b is calculated as the division of amount a by amount b.
The definitions of false positives and true positives for this problem are given as follows:
False positives: Positive test to the allergy, when in fact the patient is not allergic.True positives: Positive test to the allergy, when in fact the patient is allergic.From the table given by the image at the end of the answer, the percentages are given as follows:
False positives: 4%.True positives: 12%.Hence the ratio of false positives to true positives from the table is calculated as follows:
4/12 = 1/3.
Meaning that the first option is correct.
Missing InformationThe table is given by the image shown at the end of the answer.
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The philosophical position known as constructivism.
Answers
Answer:
Look down
Explanation:
The philosophical position known as constructivism views knowledge as a human construction. Constructivism is based on the premise that knowledge is not part of an objective, external reality that is separate from the individual. Instead, human knowledge is a human construction.
Answer:
The philosophical position known as constructivism views knowledge as a human construction.
Explanation:
Constructivism is based on the premise that knowledge is not part of an objective, external reality that is separate from the individual. Instead, human knowledge is a human construction.