The life span of a battery is the amount of time the battery will last. The distribution of life span for a certain type of battery is approximately normal with mean 2. 5 hours and standard deviation 0. 25 hour. Suppose one battery will be selected at random. Which of the following is closest to the probability that the selected battery will have a life span of at most 2. 1 hours?.

Answers

Answer 1

The probability that the selected battery will have a life span of at most 2.1 hours is 5.48%.

z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x\ is\ raw\ score, \mu\ is\ mean,\sigma\ is\ standard \ deviation[/tex]

Given that μ = 2.5, σ = 0.25.

For x < 2.1:

[tex]z=\frac{2.1-2.5}{0.25}=-1.6[/tex]

From the normal distribution table, P(x ≤ 2.1) = P(z < -1.6) = 0.0548 = 5.48%

The probability that the selected battery will have a life span of at most 2.1 hours is 5.48%.

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Related Questions

A car slows from 22 m/s to 3. 0 m/s at a constant rate of 2. 1 m/s2. How many seconds are required before the car is traveling at a forward velocity of 3. 0 m/s?.

Answers

Answer:

The maximum velocity acquired by the car is 9.6 m/s.

Explanation:

The total time elapsed (t) = 8 s

⇒ 5v = 48

∴ v = 9.6 m/s

The maximum velocity acquired by the car is 9.6 m/s.

A car slows from 22 m/s to 3. 0 m/s at a constant rate of 2. 1 m/s2. The maximum velocity acquired by the car is 9.6 m/s.

what is velocity ?

Velocity can be defined as the rate of change of the position of the object with respect to time, it is basically speeding the object in a specific direction.

Velocity is a  vector quantity, it shows both magnitude  and direction  and The SI unit is meter per second (ms-1). If there is a change in magnitude or the direction of velocity of a body, then it is said to be accelerating.

Finding the final velocity is simple but few calculations and basic conceptual knowledge are needed.

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The three greater than signs (>>>) are called the python.

Answers

Answer:

The three greater-than signs ->>>- are called the prompt

Explanation:

:)

The three greater than signs (>>>) do not exist in Python

How to determine the name of the sign

From the question, we have the following parameters that can be used in our computation:

Sign = >>>

The above sign do not exist in the python syntax and as such it has no meaning

This means that, the three greater than signs (>>>) do not exist in the python language

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An environmental scientist studies _______. A. The interactions of matter b. The anatomical structure of earth’s life forms c. Methods to preserve natural resources d. Earth’s weather patterns.

Answers

C (Methods to preserve natural resources)

Mikah invented and patented a new product which sells in local department stores. This is an example of _____ income. A. Capital gains b. Earned c. Hourly d. Passive.

Answers

The new product that was invented, patented and sold in local department stores is an example of: D. Passive income.

An income can be defined as an amount of money that an individual or business firm earn in return for the sales of its product or for providing a service, to consumers.

In Economics, there are three (3) main types of income and these include:

Earned incomePortfolio incomePassive income

A passive income generally requires minimal amount of labor from an individual or business firm and as such it is usually earned from patented products or rental products on a regular basis.

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Answer:

answer is D

Explanation:

With the use/abuse of alcohol the heart is less efficient.

Answers

Answer:

Explanation:

because it is overloading the heart with a non regular item.

Which stage direction from part one of trifles most adds to the suspenseful tone?.

Answers

Answer:

uhhh left stage direction

Answer:

Edge2022

D. MRS. PETERS (starts to speak, glances up, where footsteps are heard in the room above. In a low voice.)

Explanation:

A guidance counselor wants to determine if there is a relationship between a student’s number of absences, x, and their grade point average (gpa), y. The data that were collected are displayed in the scatterplot and the least-squares regression line was calculated. One student with 2 absences has a gpa of 1. 8. This point is circled on the graph. What effect does the circled point have on the slope and y-intercept of the least-squares regression line? this point will increase the value of the slope and increase the value of the y-intercept. This point will increase the value of the slope and decrease the value of the y-intercept. This point will decrease the value of the slope and increase the value of the y-intercept. This point will decrease the value of the slope and decrease the value of the y-intercept.

Answers

Based on the information given, the effect of the circled point on the correlation will be D. This point will decrease the value of the slope and decrease the value of the y-intercept.

What is correlation?

From the complete information, it can be noted that the effect of the circled point on the correlation is that the correlation will be weakened because the point falls outside the data pattern.

Therefore, this implies that the point will decrease the value of the slope and decrease the value of the y-intercept.

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Answer:

D

Explanation:

Creativity and innovation are almost identical concepts.

Answers

Answer:

True I think that the answer

Read the excerpt from act i of hamlet. Ghost: upon my secure hour thy uncle stole, with juice of cursed hebona in a vial, and in the porches of mine ears did pour the leperous distilment; whose effect holds such an enmity with blood of man that swift as quicksilver it courses through the natural gates and alleys of the body. Which correctly analyzes the use of figurative language in the excerpt?.

Answers

Answer:

pretty sure it's A !! many apologies for not knowing the entire answer.

Which of the following best describes the maya civilization?.

Answers

Answer:

It is connected directly to the Mayan government.

Explanation:

The Mayan religion was a polytheistic religion. Religious leaders were at the top of their social hierarchy. They had many rituals to honor and worship their ancestors as they believed they were the ones who interceded for the living ones.

A newspaper collected information on schools in its circulation area in order to compare their quality. Two measures the newspaper collected for each school, mean class size and mean score on a statewide reading exam, are shown in the scatterplot. A graph titled comparing schools has mean class size (students) on the x-axis, and mean state test score on the y-axis. Points decrease in a line with negative slope. Which statement regarding the association shown could explain the relationship? class size appears to have little effect on test scores. Schools in more affluent areas have larger class sizes, which is associated with higher test scores. Schools in more affluent areas have smaller class sizes, which is associated with higher test scores. Schools in less affluent areas tend to have smaller class sizes, which is associated with lower test scores.

Answers

The statement that could explain the relationship regarding the association  on the scatter plot is  (c) schools in more affluent areas have smaller class sizes, which is associated with higher test scores.

From the given scatter plot (see attachment), we have the following highlights

The mean state score decreases as the mean class size increasesThe points are approximately linear, with a negative slope

The above highlights mean that:

The smaller the class size, the higher the test score.

Hence, the correct statement is (c)

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Answer:

C)Schools in more affluent areas have smallwr class sizes, which is associated with higher test scores.

Explanation:

Which of the following statements is not true about body composition? a. Too much body fat can lead to joint or bone disorders. B. Body composition is influenced by numerous factors. C. Body composition refers to a person's overall weight. D. Lean body mass is the nonfat component of body composition. Please select the best answer from the choices provided. A b c d.

Answers

Answer:

Too much body fat can lead to joint or bone disorders.

The statement that is incorrect is body composition refers to a person's overall weight. The correct option is C.

What is body composition?

The relative proportions of fat, muscle, bone, and other tissues in the human body are referred to as body composition.

It is a measurement of how much of a person's body weight is made up of fat, lean tissue (like muscle and bone), and other types of tissues.

Body composition, rather than a person's overall weight, refers to the relative proportions of fat and non-fat mass (such as muscle, bone, and organs) in the body. As a result, option C regarding body composition is false.

Option A is correct because excess body fat can put extra strain on joints and bones, resulting in joint or bone disorders.

Option B is correct because body composition is influenced by a variety of factors, including genetics, age, gender, diet, and physical activity.

Thus, the correct option is C.

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At what height would the gravitational potential energy have a value of 73. 7 joules for a 15 kilogram object? note that acceleration due to gravity is 9. 8 meters/second2.

Answers

The answer is 0.5 meters

What organization did the united states employ during the cold war.

Answers

Answer:

One month later, Truman signed the National Security Act of 1947, creating a unified Department of Defense, the Central Intelligence Agency (CIA), and the National Security Council (NSC). These would become the main bureaucracies for US defense policy in the Cold War.

Explanation:

Five times the measure of an angle is an acute angle.

Answers

An acute angle is less than 90 degrees

5x<90
X<18

What is the main idea presented in the passage? tattoos can cause infections through dirty needles. The safety of tattoo inks has not been studied enough. Getting a tattoo is a very high-risk activity that is not recommended. The fda controls and licenses tattoo parlors.

Answers

Answer:

The safety of tattoo inks has not been studied enough.

Explanation:

Just took the test.

The main idea presented in the passage is the safety of tattoo inks has not been studied enough. The correct option is B.

What are tattoos?

A tattoo is a type of body modification that involves introducing permanent or temporary tattoo ink, dyes, and/or pigments into the dermis layer of the skin. The justifications for getting tattoos have changed over time and across the globe.

They include creative expression, permanent cosmetics, for protection or as a source of power, for religious purposes, as a sign of group affiliation, for status symbols, for protection from harm, or as a supplement to reconstructive surgery.

Modern industrial organic pigments, mineral pigments, vegetable-based and plastic-based pigments, as well as modern industrial organic pigments, can all be found in the tattoo ink.

Therefore, the correct option is B, The safety of tattoo inks has not been studied enough.

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How many electrons does each lithium atom provide to the voltaic cell?.

Answers

I’m terrible at Science sorry

Marsman inc's latest eps was p2. 75, its book value per share was p22. 75, it had 280,000 shares outstanding, and its debt ratio was 44%. How much debt was outstanding?.

Answers

Based on the EPS and the book value, as well as the shares outstanding, the amount of debt is P5,005,000.

First find the total equity:

= Shares outstanding x Book value per share

= 280,000 x 22.75

= P6,370,000

Use that to find the total assets:

= Total equity / (1 - Debt ratio)

= 6,370,000 / ( 1 - 0.44)

= P11,375,000

The total debt is therefore:

= Total assets - Total equity

= 11,375,000 - 6,370,000

= P5,005,000

In conclusion, the total debt is P5,005,000.

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Which of the following best describes the meaning of "force"?.

Answers

Answer:no no no no no no

Explanation: yes yes yes yes yes

What are some ways that drugs and alcohol can impair drivers? check all that apply.

Answers

Can you show the options?

Which three statements about the gilded age are true.

Answers

Answer:

i don't know I don't see them

how does characterization contribute to the theme of the tiger's whiskers

Answers

Characterization is a literary device that is used by a writer to show or describe the features of a character to the audience. The author can either choose to make use of a direct characterization to describe the character through his actions, or other means.

With this in mind, we can see that there are two main types of characterization and they include:

Indirect characterizationDirect characterization.

Please note that your question is incomplete so I gave you a general overview to help you get the right answer

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Decide whether the sentence is gramatically correct or incorrect as written. Va a llover hoy. Correctincorrect.

Answers

It is important to right a correct statement that one can understand.  Va a llover hoy is written correctly.

There are different kinds of Spanish words that are often used in a sentence. Va a llover hoy  is a Spanish word that means it's going to rain today.

Complete sentence

In Spanish, a complete sentence is one that always have or implies that there is a subject and a verb in the sentence and it does make a complete sense.

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Answer:

Correct

Explanation:

I got it right on Edge.

Why are third parties important in a political system brainly.

Answers

Answer:

Usually Third-party candidates help to draw attention to other party candidates down the ballot, helping them to win local or state office.

Explanation:

basically they are used to help one specific candidate get more votes lol

What was an outcome of the wars for independence in latin america brainly.

Answers

The Latin American Wars of Independence, which took place during the late 18th and early 19th centuries, were deeply influenced by the American and French Revolutions and resulted in the creation of a number of independent countries in Latin America.

Two samples of solids have similar reactivity with acids and similar densities. Their masses and volumes, however, are not at all similar. Is it possible that these are the same substance?.

Answers

The two samples may be the same substance even though they have different masses and volumes.

We must know that properties that identify a substance are called intensive properties. Samples that have similar intensive properties are likely to be the same substance since these properties are characteristic of the substance.

Density is an intensive property. If the two substances have similar densities and similar reactivity with acids, they may be the same substance even though they have different masses and volumes.

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Rocky point brewery (rpb) plans to file an initial public offering (ipo) in june 20x3. Olsen & alain, cpas (o&a) has performed calendar year end audits of rpb since 20x0 and also helps rpb prepare monthly financial statements in accordance with aicpa independence rules. O&a terminated the accounting services in december 20x2. Under sec independence rules, could rpb continue to engage o&a as its auditor when it files its ipo?.

Answers

Based on the information given about the public offering, the correct option is C. No, because the prohibited non-audit services were performed during the period covered by the financial statements.

From the complete information, it was stated that Rocky point brewery plans to file an initial public offering in June 20x3 while Olsen & Alain, cpas has performed calendar year-end audits of rpb since 20x0.

Under the security exchange commission and PCAOB, it should be noted that Rocky point brewery cannot engage O & A to be their auditors now that's it's a public company.

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Traveling with the current, a boat travels a distance 1. 5 times greater than it does when traveling against the current in the same amount of time. What is the speed of the boat in still water if the speed of the current is 1. 5 mph?.

Answers

The speed of the boat in still water if the speed of the current is 1.5mph is equal to 7.5mph.

Solution:

We have to define the terms in this question

We have Sc = Speed of the current = 1.5mph

We have Sb = Speed of the boat in the still water

We have this equation:

Sb + Sc = 1.5(Sb - Sc)

Sb + Sc = 1.5Sb - 1.5Sc

We have to collect the like terms

Sb - 1.5Sb = -1.5Sc - Sc

-0.5Sb = -2.5Sc

We divide through this equation by the value of Sb

[tex]\frac{-0.5Sb}{-0.5} =\frac{-2.5Sc}{-0.5}[/tex]

Sb = 5Sc

Given that the speed of current Sc = 1.5. then

Sb = 5*1.5

Sb = 7.5

In conclusion, the speed of the boat in still water at 1.5mph = 7.5mph

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The two graphs show that earth’s polar regions are land ice. Climate scientists hypothesize that this change is happening because of in global temperatures. According to the graphs, the north pole is losing ice at a rate than the south pole.

Answers

Climate do influence habitat in different ways. The two graphs show that Earth's polar regions are Losing land Ice. Climate scientists hypothesize that this change is happening because of An increase in global temperatures. According to the graphs, the North Pole is losing ice at a Faster rate than the South Pole.

Global warming is known to be the outcome of the internal climate variability, or alterations in the relationship or interaction between the oceans and the atmosphere.

Due to the above, there is gradual/fast increase in temperatures due to the fact that they are getting their heat from deep within the oceans.

Scientist have observed from 11 satellite missions that was monitoring the Greenland and Antarctic ice sheets and they have shown that that the regions are at least 6 times in a faster rate losing  than when compared to the  1990s.

see full question below

The graphs show the change in the mass of land ice sheets in Antarctica at the south Pole and in Greenland near the North Pole. Study the graphs, and then complete the passage. The two graphs show that Earth's polar regions are _ land Ice. Climate scientists hypothesize that this change is happening because of_ in global temperatures. According to the graphs, the North Pole is losing ice at a _ rate than the South Pole.

blank 1 =

A. gaining

B. losing

blank 2=

A. an increase

B. a decrease

blank 3=

A. slower

B. faster​

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Answer:

capture, of answer

What is the simplified form of ? 5000 5000 100 100.

Answers

Answer:

Your answer is 100x³², or D!

Explanation:

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