suppose that an experimenter studies the lifespan of members of a colony of bacteria. let t be the lifespan of a randomly chosen member of the colony. suppose the lifespan of the bacteria has an exponential distribution with expected value 100 minutes. if we choose 5 members of the colony, what is the probability that at least one of them lives more than 87 minutes?

Answers

Answer 1

The probability that at least one of them lives more than 87 minutes is 0.87.

Probability

In statistics, the possible way of happening a particular event is called probability.

Given,

Suppose that an experimenter studies the lifespan of members of a colony of bacteria. let t be the lifespan of a randomly chosen member of the colony. suppose the lifespan of the bacteria has an exponential distribution with expected value 100 minutes.

Here we need to find if we choose 5 members of the colony, then what is the probability that at least one of them lives more than 87 minutes.

Here we know that,

Total number of members = 5

Life span = 87 minutes

Expected value = 100 minutes

So, the probability is calculated as,

=> 87 /100

=> 0.87

To know more about Probability here.

https://brainly.com/question/11234923

#SPJ4


Related Questions

How do you express .13 as a percentage?

Answers

.13 can be expressed in the form of percentage as 13%.

In order to convert numbers in decimal into percentage we only need to multiply the given number with 100 and after multiplying the number with hundred it can be written in percentage form. Like in the question given number is 0.13 and we need to express this in form of percentage. So in order to express this number in percentage we just multiply it with 100 which will be equal to 13% i.e

0.13 x 100 = 13%

By multiplying a decimal value by 100 and adding the percentage (%) sign, you can turn a decimal value into a percentage. A decimal multiplied moves the decimal point two places to the right.

To know more about conversion of Decimal into Percentage,click here :

 https://brainly.com/question/1747660

#SPJ4

Sarah uses three and one half pounds of clay to make 14 small vases. Use a proportion to find how many pounds of clay she will use to make 31 small vases.

12 and one half pounds
8 and three fourths pounds
7 and three fourths pounds
6 and one half pounds

Answers

Sarah needs 7 and three-fourths of pounds of clay to make 31 small vases. By using the proportion of pounds of clay to the number of small vases, the required value is calculated.

What are proportions?

Proportions are equations in which two ratios are made equal to each other. By using these we can relate a part to a whole. The formula for the proportions is written as

a : b = c : d or a/b = c/d or ad = bc

Here the variables a and d are said to be the extreme terms and the variables b and c are the mean terms.

Mostly used proportions are inverse proportion, direct proportion, compound proportion, etc.

Calculation:

Given that,

Sarah uses 3 and 1/2 pounds of clay to make 14 small vases.

And x pounds of clay to make 31 small vases.

So, applying the proportions formula for finding the x value as

[tex]3\frac{1}{2}:x=14:31[/tex]

Then, we can write them as

bc = ad ⇒ 14x = 7/2 × 31

⇒ 14x = 217/2

⇒ x = 217/28

⇒ x = 7.75 = [tex]7\frac{3}{4}[/tex]

Therefore, Sarah needs 7 and three-fourths pounds of clay to make 31 small vases. So, option C is correct.

Learn more about proportions here:

https://brainly.com/question/140018

#SPJ1

when should timestamping (every 2 minutes) start in the audio segment of 15-20 minutes? gotranscribe

Answers

At [00:16:00] timestamping (every 2 minutes) start in the audio segment of 15-20 minutes

Timestamping is frequently used to highlight a certain section of an audio file and indicate its significance.

In general, timestamps are utilised for the transcription process, in which the audio is used as a reference to convert it to a written form, if there is speech in an audio file other than music. Usually, this occurs in the press and media.

The timestamping software has the following formats: [HH:MM:SS]

HH stands for hours, MM for minutes, and SS for seconds.

For Audio segment of 15-20 minutes ,  [00:16:00] is timestamping every 2 minutes.

To know more about Timestamping here

https://brainly.com/question/23187311

#SPJ4

Evaluate lim x-->a [sin(x) + a0 + a1x + ...+ anx^n ]

Answers

The function lim x-->a [sin(x) + a₀ + a₁x + ...+ aₙxⁿ ] has lim x-->a [sin(a) + a₀ + a₁a + ...+ aₙaⁿ] as the limit of the function as x approaches a.

What is the function?

Generally, To evaluate the limit of a function as x approaches a certain value, we need to substitute the value of x with the limit value and see what the function evaluates to.

In this case, we have:

lim x-->a [sin(x) + a₀ + a₁x + ...+ aₙxⁿ]

Substituting x with a, we get:

lim x-->a [sin(a) + a₀ + a₁a + ...+ aₙaⁿ]

This is the limit of the function as x approaches a.

Note that the terms a₀, a₁x, etc. are constants and will not affect the limit of the function. Therefore, the limit of the function as x approaches a is simply sin(a).

Read more about the function  

https://brainly.com/question/21145944

#SPJ1

I need help in this one! Thank you!​

Answers

Answer:

Grey dice.                  White dice

1                        1. 52                       2. 65                       3. 16                       4. 2

Step-by-step explanation:

Flip them around, this one really got me lol

John deposits $ 8,000 in a certificate of deposit that pays .8% interest, compounded semi-annually. How much interest does the account earn in the first six months? What is the balance after a year.

Answers

The required interest earned in the 6 months is $320 and the balance after a year is $8,652.8.

Given that,
John deposits $ 8,000 in a certificate of deposit that pays .8% interest, compounded semi-annually.

What is the investment?

Investment is defined as when an individual is spend money on something that returns him or her higher money than the money they or invest.

Here,

Interest earned in the 6 months,
= 8000 [0.08/2]
= $320
Balance after a year,
Amount = principal [1 + rate/n]ⁿ
= 8000[1 + 0.08/2]²
= $8652.8

Thus, the required interest earned in the 6 months is $320 and the balance after a year is $8,652.8.

Learn more about investments here:

https://brainly.com/question/15353704
#SPJ1

A. f(x)=17.78(4.86)x

i.The value of the function when x=0 is?

ii. Find the ratio of output values that correspond to increases of 1 in the input value in order to determine the 1-unit growth factor.?

iii. Determine the 1-unit percent change.? %

B. h(x)=94.71(0.57)x

i. The value of the function when x=0 is?

ii. Find the ratio of output values that correspond to increases of 1 in the input value in order to determine the 1-unit growth factor.?

iii. Determine the 1-unit percent change.? %

Answers

-57 decrease

In this equation.

The value of the function at x=0 is 17.78(4.86)^0 = 17.78(1) = 17.78.

ii. The ratio of output values ​​corresponding to an increment of 1 in input values ​​is (4.86)^1 = 4.86.

iii. A percent change of 1 unit is (4.86 - 1) × 100% = 286% increase.

For the function h(x) = 94.71(0.57)^x:

Thus, the value of the function at x=0 is 94.71(0.57)^0 = 94.71(1) = 94.71.

ii. The ratio of the output value corresponding to an increment of 1 in the input value is (0.57)^2 = 0.57.

iii. Percentage change of 1 unit is (0.57 - 1) × 100% = -57 reduction

Read more about this on brainly.com/question/17137295

#SPJ4

The tree diagram represents an
experiment consisting of two trials.
.5 - A - A - .4 - c
.5 - B - .3 - c
.7 - D
P(A) =

Answers

Answer:

P(A) =0.5 obviously since it didn't say like P(AC) or P(AD)

Which of the following is not a test of congruence of triangle * AAS test SAS test asa test SSA test?

Answers

Answer:

SSA

Step-by-step explanation:

If you have 2 triangles that have 2 congruent sides, and a congruent non-included angle, there is 2 possible values for the third side, so SSA does not work

Andre has a summer job selling magazine subscriptions. He earns $25 per week plus $3 for every subscription he sells. Andre hopes to make at least enough money this week to buy a new pair of soccer cleats.
Write an inequality to describe the number of subscriptions Andre must sell to reach his goal.

Answers

The inequality to describe the number of subscriptions Andre must sell to reach his goal is  3s + 25 ≥ C.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a b.

a is bigger or equal value of an is indicated by the notation a b.

Assuming the cost of soccer cleats to be 'C' and the number of subscriptions to be 's'.

∴ The inequality that represents this situation is 3s + 25 ≥ C to real his goal.

learn more about inequality here :

https://brainly.com/question/28823603

#SPJ1

what distribution is used with the global test of the regression model to reject the null hypothesis?

Answers

F distribution is used with the global test of the regression model to reject the null hypothesis.

The hypothesis test will be conducted using a novel distribution. After the English statistician Sir Ronald Fisher, it is known as the F distribution. A ratio, the F statistic is (a fraction). One set of degrees of freedom is for the denominator, and the other set is for the numerator.

According to the null hypothesis, all group population means are equal. Because it is assumed that the populations are normal and that they have similar variances, the equal means hypothesis indicates that the populations have the same normal distribution. All groups are samples from populations with the same normal distribution, according to the null hypothesis. According to the alternative theory, at least two of the sample groups are drawn from populations with various normal distributions.

To learn more about the null hypothesis, visit:

https://brainly.com/question/29588905

#SPJ4

help!! please and thanks!

Answers

Answer: Congruent

Step-by-step explanation:

a cone has a radius of 4ft and a height of 2ft. what is the volume in yd3? round intermediate steps to 2 decimal places. round final answer to 2 decimal places.

Answers

Therefore, the volume of the given cone is V=33.51 [tex]ft^{3}[/tex]

What is Volume?

A three-dimensional space's occupied volume is measured. It is frequently expressed as a numerical value using SI-derived units, other imperial units, or US customary units. Volume and length definitions are connected.

Here,

Cone has a radius of 4ft

A height of 2ft.

Thus,

The formula for volume of cone is used

V=π[tex]r^{2} \frac{h}{3}[/tex]

V=3.14*[tex]4^{2}[/tex]*2/3

V=50.24*2/3

V=100.48/3

V=33.51 [tex]ft^{3}[/tex]

Therefore, the volume of the given cone is V=33.51 [tex]ft^{3}[/tex]

To know more about volume , visit

https://brainly.com/question/13338592

#SPJ4

Use estimation to evaluate 8,627.5 ÷ 35

Answers

Answer:

246.5

Step-by-step explanation:

86275÷35

= 246.5

approximately 247

suppose u is a uniform(0, 1) random variable. consider f-1(u), where f-1(.) is the inverse of the cdf of the random variable x. so, f-1(u) is a transformation of u. assume f-1(.) is strictly increasing. what is the distribution of f-1(u)?

Answers

The distribution of the given function is a uniform distribution.

A strictly increasing function is the one which increases continuously in a given interval. If f-1(u) is a strictly increasing function of u, then the distribution of f-1(u) is the same as that of u. This is because a strictly increasing function preserves the rank ordering of its input, so if u-1 and u-2 are two random variables with a uniform distribution on the interval (0,1), then the rank order of f-1(u-1) and f-1(u-2) will be the same as the rank order of u-1 and u-2. Since the uniform distribution is defined by the rank order of its values, this means that the distribution of f-1(u) is also uniform on the interval (0,1).

Learn more about Distribution at:

brainly.com/question/28021875

#SPJ4

4. Write the equation of a line that is perpendicular to y= 3/7x-1 and goes through the point (3,-3).

Answers

Answer:

y+3 = -7/3(x-3)

y = -7/3x + 4

the national health and nutrition examination survey contains data on 2,263 u.s. adults. one of the variables is total cholesterol. total cholesterol levels less than 200 milligrams per deciliter (mg/dl) are considered desirable for adults. a reading between 200 and 239 mg/dl is considered borderline high and a reading of 240 mg/dl and above is considered high. does the data in this sample indicate that these individuals have average total cholesterol levels that are desirable?

Answers

Yes, the data in this sample indicate that these individuals have average total cholesterol levels that are desirable.

Average:

In math average refers mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Given,

Here we have the data of the national health and nutrition examination survey contains data on 2,263 US. adults. one of the variables is total cholesterol. total cholesterol levels less than 200 milligrams per deciliter (mg/dl) are considered desirable for adults. a reading between 200 and 239 mg/dl is considered borderline high and a reading of 240 mg/dl and above is considered high.

And we need to find that does the data in this sample indicate that these individuals have average total cholesterol levels that are desirable.

While we looking into the given question,

Total number pf participants = 2,263

Desirable level of cholesterol = less than 200 milligram

Border line level of cholesterol = Between 200 and 239 mg

Higher level of cholesterol = 240 mg

So, based on the given details, we know that at least 25% of people must have the desirable.

Therefore, the given level is a desirable one.

To know more about Average here.

https://brainly.com/question/16612044

#SPJ4

PLEASE HELP THIS IS WORTH 12 points and you will be marked as brainliest !!!!!!!!! REALLY URGENT !!!!!
------------------
Figure JKLM below is dilated with a scale factor of 1/4 . Match the appropriate coordinates for J' K' L' M' (after dilation) .

Basically what is :

(4,8) x 1/4 = ?

(4,-8) x 1/4 =?

(-8,0) x 1/4 = ?

(8,0) x 1/4 =?

Answers

Step-by-step explanation:

so, for (4, 8) × 1/4, what is 4×1/4 ? and what is 8×1/4 ?

(1, 2)

similar for (4, -8) it is (1, -2).

similar for (-8, 0) it is (-2, 0).

similar for (8, 0) it is (2, 0).

that's it. that's really all there is to it. you multiply all the coordinates by the scale factor.

Expand (2x-1) (x+5) fully

Answers

The full expansion of the expression (2x - 1) (x + 5) is 2x² + 9x - 5

How to fully expand the expression?

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

(2x - 1) (x + 5)

Combine the factors of the expression using the product sign

So, we have

(2x - 1) (x + 5) = (2x - 1)*  (x + 5)

Evaluate the products

This gives

(2x - 1) (x + 5) = 2x² - x + 10x - 5

Evaluate the like terms in the expression

(2x - 1) (x + 5) = 2x² + 9x - 5

Hence, the expanded expression is 2x² + 9x - 5

Read more about expressions at

https://brainly.com/question/15775046

#SPJ1

Margaret rows 3 miles in 21 minutes. At that same rate, how many miles would she row in 60 minutes? If necessary, round your answer to the nearest tenth.
Group of answer choices

8.6

7

3.3

13

Answers

Answer: 8.6 miles

Step-by-step explanation:

Takes 21 divided by 3 = 1 mile in 7 minute

Then take 60 divided by 7 = 8.57

ground to nearest tenth = 8.6 miles

Which is the value for
54
.
3
÷
10
0
?

Answers

Answer:

The answer is acually 54.3

Step-by-st

What is the value of x? Show your work​

Answers

Answer: x=16

Step-by-step explanation:

The two angles in the picture is equal to each other.

So the 6x + 4 = 100 degree

6x = 96

x= 16

Explain why 2 less than the absolute Value of -5?

Answers

Answer:

because the absolute value of -5 is positive 5

1. calculate the theoretical yield of the solid precipitate. show your work.

Answers

The Theoretical yield of solid precipitate is 1.42g/mol

Now, consider solid precipitate as cacl2

let us take the mass of cacl2 and calculate the moles of cacl2.

Mass of CaCl2 =2.0 g

By, default the molar mass of CaCl2 =110.98 g/mol

To calculate the Moles we have a formula:

Moles=Given mass*1 mol/Molar mass of a precipitate.-----(1)

substitute the values in equation (1)

Moles of CaCl2 =2.0 g * 1 mol/110.98g

                           = 0.018 mol

Take another solid precipitate:

Mass of K2Co3=2.0 g

The molar mass of K2Co3 =138.205 g/mol

Now calculating the moles of K2Co3

substitute the values in equation(1)

Moles of K2Co3 =2.0 g * 1 mol/ 138.205g

                             =0.0145 moles

According to balanced equation 1mole of CaCl2 reacts with 1 mole of K2CO

Thus, 0.018 moles of CaCl2 will react with 0.018 moles of K2CO3

And,0.0145 moles of K2CO3 will produce 0.0145 moles of CaCO3

Molar mass of CaCO3 =100.0869 g/mol

Theoretical yield of CaCO3 =moles of CaCO3 *molar mass of CaCO3

                                                =0.0145 moles * 100.0869 g/mol

                                                 =1.45g/mol

To Know More About the Theoretical yield of solid precipitate:

https://brainly.com/question/10982526

Cylindrical paper dryerse are used in pulp and paper mills. One dryer has diameter 1.5m and length 2.5m.
What is the area of the curved surface of this dryer?

Answers

The area of the curved surface of the dryer is 11.775m

What is the cylinder?

The three-dimensional form of a cylinder is made up of two parallel circular bases connected by a curving surface. The right cylinder is created when the centers of the circular bases cross each other. The axis, which represents the height of the cylinder, is the line segment that connects the two centers.

What are the examples of cylinders?

A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a certain height from the center. Real-world examples of cylinders are toilet paper rolls and cold beverage cans.

We know, the formula for curved surface of cylinder is 2pirh

putting the desired value in the equation we get

11.775m

To learn more about cylinders, click the following link;-

https://brainly.com/question/23935577

#SPJ1

Write the equation in slope-intercept form of the line that passes through (6, -11) and is parrallel to the graph

Answers

On solving the provided question we can say that  the equation of the line will be  y+11 = 0.

How do you define a slope?

The slope of a line is how steeply it slopes from left to right. The slope of a line is determined by dividing its rise (vertical change) by its slope, which is its horizontal change. Regardless of whatever two locations on the line you pick, the slope of the line is always constant (it never changes).

How do you find slope?

To find the coordinates of two points on the line, choose two. Find the difference between these two locations' y-coordinates (gradients). Find the difference between these two places' x coordinates (runs). Divide the change in the y coordinate by the difference in the x coordinate (slope/history or slope).

Here,

slope, m= 0 as these are parallel line.

so the equation of the line will be

y-y1 = m(x-x1)

y+11 = 0

To know more about slope visit:
https://brainly.com/question/3605446

#SPJ1

Three ruler and two pencils cost £3.10
Two rulers and five pencils cost £3.90
Work out the cost of a ruler and pencil

Answers

Answer:

To find the cost of a ruler and the cost of a pencil, we can set up a system of equations using the given information. Let R be the cost of a ruler and P be the cost of a pencil.We know that 3R + 2P = 3.10 and 2R + 5P = 3.90Subtracting the first equation from the second, we get:5P - 3P = 3.90 - 3.10

2P = 0.80Dividing both sides by 2, we get:P = 0.40Substituting this value back into one of the original equations, we get:3R + 2(0.40) = 3.10

3R = 2.70

R = 0.90Therefore, the cost of a ruler is £0.90 and the cost of a pencil is £0.40.

Step-by-step explanation:

Which of the following expressions represent a number greater than 1?
Select each correct answers

Answers

The numbers which are greater than 1 are 2 ÷ 1/3 and 3/4 ÷ 2/3 so options (B) and (D) are correct.

What is a fraction?

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, the fraction is the division of the two numbers but the division is not wholly complete.

As per the given fractions,

2 ÷ 1/3 = 2 x 3/1 = 6 > 1

3/4 ÷ 2/3 = 3/4 x 3/2 = 9/8 > 1

Hence "The numbers which are greater than 1 are 2 ÷ 1/3 and 3/4 ÷ 2/3".

For more about fractions,

https://brainly.com/question/10354322

#SPJ5

The complete question below,

HELPPPPPP ASAPPPP!!! PLEASEE RNNNNNN

Answers

1. Distribute

2. Subtract 1/2z on both sides

3. Subtract 9 on each side

4. x=-3

5. CHECK

question 4 you are working with the following selection of a spreadsheet: a b 1 customer address 2 sally stewart 9912 school st. north wales, pa 19454 3 lorenzo price 8621 glendale dr. burlington, ma 01803 4 stella moss 372 w. addison street brandon, fl 33510 5 paul casey 9069 e. brickyard road chattanooga, tn 37421 in order to extract the five-digit postal code from north wales, pa, what is the correct function?

Answers

For the given data analysis  , The correct function is : RIGHT(B3,5), which is the correct syntax.

Here it is related to data cleaning which is the process of removing or fixing data that are incorrect or formatted incorrectly, corrupted, duplicate, or even incomplete data within a dataset that exists. When we mix  multiple data sources, it depicts that  there can be opportunities for the data to be mislabeled or duplicated, since we are guiven  that the customer names and addresses, so the correct syntax will be  =RIGHT(B3,5), where the RIGHT  Function  that returns set  number of characters of  a text string from the  right side

To know more about data analysis refer to the link brainly.com/question/23730998

#SPJ4

Other Questions
identify the true statements about the impact of new technology on the issue of privacy. (check all that apply.) The amount of time an activity can be delayed without delaying the early start date of any immediately following activities is known as a _____.a.forward passb.backward passc.fast trackingd.free slack when the effects of one treatment persist and influence responses to the next treatment, the researcher has the problem of which term describes a health promotion activity aimed at changing the behavior of a target audience? Which star type has a surface temperature of 4000 K and a luminosity 1000 times greater than the Sun? dwarf what did atticus mean by in favor of southern womanhood as much as anybody, but not for preserving polite fiction at the expense of human life Question 3 (1 point)Michelle is trying to find the average atomic mass of a sample of an unknownelement. She finds that her sample contains 28.49% of an isotope with a mass of56.2925, while the rest of the sample is an isotope with a mass of 52.4566. What isthe average atomic mass of her sample? Please round your answer to 0.01 amu.Your Answer:AnswerPrevious PageNext PageunitsO4Page 3 of 20 arrange the steps in a growth factor signaling pathway that promotes cell division in the correct order. start with the first step at the top. Drag each item to the correct location to indicate whether it addresses the Clean Water Act or the Safe Drinking Water Act. Items may be used more than once or not at all.wastewater managementsurface water qualitygroundwater contaminationsurface water quality the points (16, 12) and (12, 9) fall on a particular line. what is its equation in slope-intercept form? TRUE/FALSE. the most important story in a newspaper as indicated by its placement, is located on the front page toward the left, and above the fold What is maximum pricing in economics Calculator Cymath | Mathema X ourses/_76146_1/cl/outline Course Home Remaining Time: 1 hour, 13 minutes, 39 seconds. * Question Completion Status: QUESTION 11 An augmented matrix of a system of equations has been transformed by row operations into the 3 equations in 3 variables matrix below. State the solution to this system as (x,y,z) Enter your answer as an ordered triple within parenthesis separated by commas (x,y,z). Avoid entering spaces and decimal points Use fractions if relevant. [100 : -3 010: N| 001 QUESTION 12 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answ carryall, inc., makes and sells small cargo trailers to individuals and small businesses. since its opening in 1990, it has allocated indirect costs (idc) to its three manufacturing plants based on direct materials cost per unit. each plant builds different models and sizes. because of advances in automation and materials, judy, the cfo plans to use build-time per unit as the new basis. build-time is the average number of work-hours to complete a trailer. however, she initially wants to determine what the allocation would have been this year had the build-time basis been used 60% of the monthly housing and food budget is for rent. 10% of the budget is for utilities. 30% is for food. What is Amys budget for rent? What is the budget for utilities? What is it for a food? 1.Name three programs that process files. Classify these programs as employing either batch or interactive processing and explain why.2.Name two alternatives to file-based processing in programs. What are the pros and cons of each approach? X, Y and Z form the vertices of a triangle, where YXZ = 62, XY = 6.1m and XZ = 7.9m.Calculate the area of the triangle. Round your answer to 1 DP. In Thank You, Mam, why does Mrs. Jones say that she wishes Roger were her own son? A. so she could punish him properly B. so she could teach him right from wrong C. so she could buy him all the shoes he wanted D. so she could make sure he gets a good education escoge la respuesta correcta. vosotras ______ en una oficina? trabajaran trabajaras trabajarais trabajaramos trabajara If f(x) = - 3x ^ 2 + x - 9 and g(x) = x ^ 3 + 6x what is (f + g)(- 4) ?