Denira needs to run 9 4/10 miles this week to meet her goal for her training plan. So far this week she has run 3 1/2 miles on Monday and 2 1/2 miles on Tuesday. How many more miles does she need to run this week in order to meet her goal

Answers

Answer 1

Answer:

3 2/5

Step-by-step explanation:

Add the distance she already ran, and subtract the sum from the total she needs to run.

Add two distances she ran:

3 1/2 + 2 1/2 = 3 + 2 + 1/2 + 1/2 = 5 + 1 = 6

Subtract sum from total:

9 4/10 - 6 = 3 4/10 = 3 2/5

Answer 2

Answer:

She needs to run 3 4/10 more miles

Step-by-step explanation:

If you add the amount she ran on Monday and the amount she ran on Tuesday you get 6 miles then subtract the 6 miles minus 9 4/10 you will get 3 4/10.


Related Questions

PLEASE HELPP!!!!
The wingspan of a hawk is the distance from the end of one spread-out wing to the end of the other spread-out wing. A scientist measured the wingspans of a random sample of hawks at a national park. Based on the median wingspan of the sample, the scientist estimates that the median wingspan of all hawks in the national park is 40 inches. Which graph most likely represents the data from the scientist's sample?

Answers

Answer:

D)

Step-by-step explanation:

It looks like the most sense

Question is in picture

Answers

Answer:

The answer is 32 inches

65 - 33 = 32

32 inches 728-928 for 32 inches

Write an expression that can be used to find the length of JH and an expression that can be used to find the length of GJ.​

Answers

Answer: JH = 9 sin(35)

not sure about GH...

Step-by-step explanation:

The ratio of opposite side of the triangle hypotenuse side of triangle is equal to sine of angle.

The expression required to fine the length of GJ is,

[tex]\sin 35=\dfrac{GJ}{9}\\[/tex]

The length of the [tex]GJ[/tex] is 5.162 units.

What is right angle triangle?

A right angle triangle is the triangle in which measure of one of the angle is equal to the 90 degrees.

The ratio of opposite side of the triangle hypotenuse side of triangle is equal to sine of angle.

Given information-

In the given triangle shown in the figure,

[tex]\angle JGH=35[/tex]

The angle [tex]\angle HJG[/tex] is right angle, which is equal to the 90 degrees.

As the sum of all the angles of a triangle is equal to the 180 degrees. Thus,

[tex]\angle JGH+\angle HJG+\angle GHJ=180\\[/tex]

Put the values,

[tex]35+90+\angle GHJ=180\\125+\angle GHJ=180\\\angle GHJ=180-125\\\angle GHJ=55[/tex]

In the given triangle, the side [tex]GJ[/tex] is the opposite side of the triangle and [tex]GH[/tex] is the hypotenuse side of the triangle.

Thus the length of the [tex]GJ[/tex] for the right triangle can be given as,

[tex]\sin 35=\dfrac{GJ}{9}\\[/tex]

This is the required expression,

[tex]GJ=\sin 35\times9\\GJ=0.574\times9\\GJ=5.162[/tex]

Thus the length of the [tex]GJ[/tex]5.162 units.

The expression required to fine the length of GJ is,

[tex]\sin 35=\dfrac{GJ}{9}\\[/tex]

The length of the [tex]GJ[/tex]5.162 units.

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Adjustment for Merchandise Inventory Using T Accounts: Periodic Inventory System

Ibby Smith owns and operates Ibby’s Ice Cream Cones. Her beginning inventory as of January 1, 20--, was $45,000, and her ending inventory as of December 31, 20--, was $57,000. Set up T accounts for Merchandise Inventory and Income Summary and perform the year-end adjustment for Merchandise Inventory.

Use the labels shown.

(a) Remove the beginning balance in Merchandise Inventory.
(b) Add the new balance in Merchandise Inventory.

Answers

The Income Summary will be credited for $12,000 in the T account.

The journal entry to remove the beginning balance in Merchandise Inventory is as follows:
Merchandise Inventory Debit $45,000
Opening Inventory Credit $45,000
In the T account of Merchandise Inventory, the beginning balance of $45,000 will be subtracted from the total of the debit amounts in the account.

ii. Add the new balance to Merchandise Inventory

The journal entry to add the new balance to Merchandise Inventory is as follows:
Closing Inventory Debit $57,000
Merchandise Inventory Credit $57,000
In the T account of Merchandise Inventory, the ending balance of $57,000 will be added to the total of the credit amounts in the account.

The year-end adjustment entry for Merchandise Inventory is:

Merchandise Inventory Dr. $57,000 ($57,000 - $45,000)
Income Summary Cr. $57,000 ($57,000 - $45,000)
In the Merchandise Inventory T account, the ending balance is $12,000 (credit balance) since the credit amount of $57,000 exceeded the debit amount of $45,000 by $12,000.
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What is the diameter of a satellite dish with a circumference of 957.7?

Answers

Answer:

The diameter would be 305 m

Step-by-step explanation:

Answer:

305 assuming your using 3.14 for pi

Step-by-step explanation:

Good art is art that allows you to enter it from a variety of angles and to

emerge with a variety of views."" what is you insights about this quotes?​

Answers

Answer:

Step-by-step explanation:

My insight on this quote is that a good piece of art can tell various stories. Maybe there are various characters in the art and each on shows different actions and emotions. Or maybe the art is abstract and the emotions that it triggers in a person can tell a story all on its own. In a way these various angles are the different ways that the art makes us feels that allows us to view it in such a way. Yet these views can change if we look at the art in a different perspective.

Each sample of water has a 10% chance of containing a particular organic pollutant. Assume that the samples are independent with regard to the presence of the pollutant. Find the probability that in the next 18 samples, exactly 2 contains the pollutant.
(a) P(x≥≥4)
(b) P(x≤≤4).
(c) P(3≤≤x≤≤7)

Answers

The probability that in the next 18 samples, exactly 2 contain the pollutant is

P(x = 2) =[tex]C(18, 2) (0.1)^2 (0.9)^16[/tex]

= 0.252.

The given is Each sample of water has a 10% chance of containing a particular organic pollutant.

Assume that the samples are independent with regard to the presence of the pollutant.

We need to find the probability that in the next 18 samples, exactly 2 contain the pollutant.

We can use the Binomial distribution formula to solve this problem.

The binomial distribution formula is given by:

P(x) = [tex]C(n, x) px qn-x[/tex]

Where n is the number of trials, x is the number of successes, p is the probability of success, and q is the probability of failure.

Since there is a 10% chance of containing a particular organic pollutant, the probability of success is:

p = 0.1

The probability of failure is:

q = 1 - p

= 1 - 0.1

= 0.9

Number of trials (samples) is n = 18

(a) To find P(x≥≥4)

We need to find the probability that 2 or more samples contain the pollutant.

We can do this by subtracting the probability that less than 2 samples contain the pollutant from 1.

P(x ≥ 2) = 1 - P(x < 2)P(x < 2)

= P(x = 0) + P(x = 1)P(x = 0)

= C(18, 0) (0.1)0 (0.9)18

= [tex]0.9^18[/tex]

P(x = 1) = [tex]C(18, 1) (0.1)^1 (0.9)^17[/tex]

= 0.33

P(x < 2) = [tex]0.9^18[/tex]+ 0.33

= 0.335

P(x ≥ 2) = 1 - 0.335

= 0.665

(b) To find P(x≤≤4)

We need to find the probability that 4 or less samples contain the pollutant.

P(x ≤ 4) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)P(x = 0)

= C(18, 0) (0.1)0 (0.9)18

= [tex]0.9^18[/tex]

P(x = 1) = [tex]C(18, 1) (0.1)^1 (0.9)^17[/tex]

= 0.33

P(x = 2) = [tex]C(18, 2) (0.1)^2 (0.9)^16[/tex]

= 0.053

P(x = 3) = [tex]C(18, 3) (0.1)^3 (0.9)^15[/tex]

= 0.0047

P(x = 4) =[tex]C(18, 4) (0.1)^4 (0.9)^14[/tex]

= 0.0003

P(x ≤ 4) = 0.9^18 + 0.33 + 0.053 + 0.0047 + 0.0003

= 0.288

(d) To find P(3≤≤x≤≤7)

We need to find the probability that between 3 and 7 (inclusive) samples contain the pollutant.

P(3 ≤ x ≤ 7) = P(x = 3) + P(x = 4) + P(x = 5) + P(x = 6) + P(x = 7)P(x = 3)

= [tex]C(18, 3) (0.1)^3 (0.9)^15[/tex]

= 0.0047

P(x = 4) = C(18, 4) (0.1)^4 (0.9)^14

= 0.0003

P(x = 5) = [tex]C(18, 5) (0.1)^5 (0.9)^13[/tex]

= 0.00001

P(x = 6) = [tex]C(18, 6) (0.1)^6 (0.9)^12[/tex]

= 2.15e-07

P(x = 7) = [tex]C(18, 7) (0.1)^7 (0.9)^11[/tex]

= 4.7e-10

P(3 ≤ x ≤ 7) = 0.0047 + 0.0003 + 0.00001 + 2.15e-07 + 4.7e-10

= 0.00471

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Find the smallest sample size needed to estimate the percentage of Americans who prefer to watch the news rather than read or listen to it. Use a 0.03 margin of error and a confidence level of 99%. From a previous poll, it was found that 47% of the American respondents prefer to watch the news rather than read or listen to it.

Answers

To estimate the percentage of Americans who prefer to watch the news rather than read or listen to it with a 0.03 margin of error and 99% confidence level, the smallest sample size needed is 1,060.

To calculate the sample size, we can use the formula:

n = (Z² * p * (1 - p)) / E²

where:

n = sample size

Z = Z-score corresponding to the desired confidence level (in this case, for a 99% confidence level, Z ≈ 2.576)

p = estimated proportion of the population with the characteristic of interest (based on the previous poll, p = 0.47)

E = margin of error (E = 0.03)

Substituting the values into the formula, we have:

n = (2.576² * 0.47 * (1 - 0.47)) / 0.03²

n ≈ 1060

Therefore, the smallest sample size needed to estimate the percentage of Americans who prefer to watch the news rather than read or listen to it, with a 0.03 margin of error and 99% confidence level, is approximately 1,060. This means that a sample of at least 1,060 individuals should be surveyed to obtain reliable estimates with the desired level of confidence.

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1. What does PEMDAS stand for?
P:
E:
M:
D:
A:
S:

Answers

Answer:

P- arenthesis

E- xpontent

M- ultiplication

D- ivision

A- ddition

S- ubtraction

Answer:

Step-by-step explanation:

p=parentheses

e=exponents

m=multiplication

d=division

a=addition

s=subtraction

CAN SOMEONE IN THIS APP HELP PLEASE

Answers

This is what I got. Hope it helps :)

Answer:

15 feet

Step-by-step explanation:

The distance from the foot of the ladder to the person is 6 feet. The person is also 6 feet. Therefore that mini triangle's length and width are both 6 feet.

The distance from the foot of the ladder to the wall is 15 feet. This is now a simple ratio. The length of the mini triangle is 6 to length of the larger triangle, 15. The height ratio is the mini triangle is 6 to the bigger triangle, x.

The height of the bigger triangle is the height of the wall. (Since the two are similar, then we can automatically deduce the height is 15.) But if you wanted to work out the ratio above ^^ you would multiply the 6 diagnol to the 15 and then divide by the last 6 to get 15.

Oliver just accepted a job at a new company where he will make an annual salary of
$54000. Oliver was told that for each year he stays with the company, he will be
given a salary raise of $3000. How much would Oliver make as a salary after 6 years
working for the company? What would be his salary after t years?

Answers

Answer:

After 6 Years:  54000*6 + 3000*5 = 339,000

After t years: 54000*t + 3000*(t-1) = 57000 t - 3000

==============

Please give brainliest, I really want to rank up, thank you!

Answer:

$358,000

Step-by-step explanation:

He makes $54k dollars "annual" = per year

Each year he stays he gets $3k worth of a raise

He stays 6 years so

3000 x 6 = 18k

54,000 x 6= 340,000

so then you just add

18,000 + 340,000=

358,000

I hope that helps :D

Find (f+g)(x).

f(x) = 1
-
x

g(x) = x^2 + 2x-5

Answers

Answer:

(f + g)(x) = x² + x - 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsFunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

f(x) = 1 - x

g(x) = x² + 2x - 5

(f + g)(x) is f(x) + g(x)

Step 2: Solve

Substitute in functions:                                                                                     (f + g)(x) = (1 - x) + (x² + 2x - 5)Combine like terms (x):                                                                                    (f + g)(x) = x² + x - 5 + 1Combine like terms:                                                                                         (f + g)(x) = x² + x - 4

In 2015, Mrs. Jonos paid $630 in Medicare
taxes. This represents 1% of her salary. What
was Mrs. Jones's gross income in 2015?

Answers

if they mean 1% is $630(of her salary) then i’m guessing $63k.

What is the area of this quadrilateral?
4 ft
3 ft
10 ft
10 ft
31
4 ft

Answers

Answer:

42

Step-by-step explanation:

Answer:

42 square feet

Step-by-step explanation:

add all of the square feet together, including the sides parallel that don't tell you how many inches. What I mean by parallel is the sides across from it.

what is the answer someone help me!!!

Answers

Answer:

14.4in so your radius is your third answer

Write the first four terms of the sequence{an}defined by the following recurrence relation.
an+1=2a2n-1;a1=0

Answers

The first 4-terms of sequence {aₙ} defined by recurrence-relation : aₙ₊₁ = 2aₙ²-1;  a₁ = 0 are 0, -1, 1 and 1.

To find the first four terms of the sequence {aₙ} defined by the recurrence relation aₙ₊₁ = 2aₙ² - 1, with the initial-condition a₁ = 0, we apply the recurrence relation,

Starting with a₁ = 0, we can find the subsequent terms as follows:

⇒ a₂ = 2a₁² - 1 = 2(0)² - 1 = -1

⇒ a₃ = 2a₂² - 1 = 2(-1)² - 1 = 1

⇒ a₄ = 2a₃² - 1 = 2(1)² - 1 = 1

Therefore, the first four terms of the sequence are : a₁ = 0, a₂ = -1, a₃ = 1

and a₄ = 1.

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The given question is incomplete, the complete question is

Write the first four terms of the sequence {aₙ} defined by the following recurrence relation.

aₙ₊₁ = 2aₙ²-1;  a₁ = 0.

Find the equation for the
following parabola.
Focus (3, 4)
Directrix y = 2
A. (x-3)2 = 2(y-2.5)
B. (x-3)2 = 4(y-3)
C. (x-3)2 = (y-4)
D. (y-3)2 = 4(x-3)

Answers

Option A is correct.The equation for the parabola is A.(x - 3)^2 = 2(y - 2.5)

The equation for a parabola with a focus (h, k) and a directrix y = a can be expressed as:

(x - h)^2 = 4a(y - k)

The focus is (3, 4) and the directrix is y = 2, we can substitute these values into the equation:

(x - 3)^2 = 4(2)(y - 4)

Simplifying:

(x - 3)^2 = 8(y - 4)

The correct equation for the parabola is:

(x - 3)^2 = 8(y - 4)

Therefore, the answer is option A. (x - 3)^2 = 2(y - 2.5)

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phoebe compared the cost of books in 9 different stores. $2, $8, $4, $7, $8, $5, $8, $4, $6 what is the median cost of the books?

Answers

The median cost of the books is $6.

To find the median, we first arrange the costs of the books in ascending order: $2, $4, $4, $5, $6, $7, $8, $8, $8. Next, we determine the middle value. Since there are nine values, the middle value is the fifth one, which is $6. Therefore, the median cost of the books is $6.

The median is a statistical measure that represents the middle value of a dataset when it is arranged in ascending or descending order. It is useful in situations where there are outliers or extreme values that could skew the average. By using the median, we can get a better representation of the typical value in the dataset.

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Can you help me in this please No links or spams or bots or report​

Answers

Answer:

Monday - 7 hr 30 mins

Wednesday - 9 hr 30 mins

Friday - 7 hr

Saturay - 5 hr 30 mins

---------------------------------------------------------------

If you earn $12.40 per hour, first you must find how many hours you worked total - in this case, 29 hr and 30 mins.

So you would be making $359.60 per week.

Let x = 9a - 7, where a is an integer. What is x mod 3?

Answers

For x = 9a - 7, where a is an integer, the value of x mod 3 is determined using the remainder when x is divided by 3, and it is equal to 2.

To find the value of x mod 3, we need to determine the remainder when x is divided by 3.

The expression x = 9a - 7, where a is an integer, allows us to calculate x mod 3.

To find x mod 3, we substitute the given expression x = 9a - 7 into the equation:

x mod 3 = (9a - 7) mod 3.

To simplify the expression, we can use the properties of modular arithmetic.

First, we can rewrite 9a as (3 × 3a) and distribute the modulus operator:

(9a - 7) mod 3 = ((3 × 3a) - 7) mod 3.

Next, we can separate the modulus operation:

((3 × 3a) - 7) mod 3 = ((3 × 3a) mod 3 - 7 mod 3) mod 3.

Since 3 is congruent to 0 mod 3, the first term becomes 0:

((3 × 3a) mod 3 - 7 mod 3) mod 3 = (0 - 7 mod 3) mod 3.

The second term, 7 mod 3, can be simplified as the remainder when 7 is divided by 3, which is 1:

(0 - 7 mod 3) mod 3 = (0 - 1) mod 3 = -1 mod 3.

Finally, we can find the remainder when -1 is divided by 3, which is 2:

-1 mod 3 = 2.

Therefore, x mod 3 is equal to 2.

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find the area of the rectangle PLUM khan academy

Answers

Answer:

Length x Breadth

Step-by-step explanation:

PLEASE HELP FAST NEED IT FAST =)


Which pair of triangles demonstrates congruence with the AAS Postulate?

Answers

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

brainliest?

find x
answer choices
6
7
9
10
8

Answers

The answer should be 10

Question 3
1 pts
meters, will the period of a pendulum be 3 seconds? Use the formulas T = a[.where the proportionality constant,
The acceleration of gravity on Mars is 3.69 For what length
2 TT
a. depends on the acceleration of gravity: a =
vg
0.92 meters
0.84 meters
0.66 meters

Answers

10 ...............................

Nahla Burtoni is buying her first home for $125,000. She has been granted
a mortgage loan at an annual interest rate of 8.5% for 20 years with a
$25,000 down payment. Closing costs are 2% of the amount of the
mortgage loan and will be financed as part of the mortgage. What is the
actual amount financed with the mortgage?
O $100,000
O $102,000
O $120,000
O $125,000

Answers

Answer: the answer is B!!!!!!!!!!!!!!

Step-by-step explanation:

you are part of a group of tourists in Yosemite National Park who want to rent bikes to ride around the valley floor. you arrive at the bicycle rental shop and see that there are two different rental plans:

Plan A: $15 initial fee, plus $2 per hour
Plan B: $5 initial fee, plus $4 per hour

The group doesn't know which plan is best for each person, but you volunteer to use your algebra skills to analyze the situation. Define two variables, write and solve a system of equations to answer the following questions.

a) For which people is plan A best? For which people is plan B best?

b) When are the costs of the two plans the same and what is the cost?

Answers

Answer:

a

Step-by-step explanation:

A is the correct answer

Can someone help me with this. Thank you.

Answers

Answer:

All are true

Step-by-step explanation:

2) True

3) True

4) True

All the answers are true

Ahh i hate math fr someone help

Answers

i think C but probably try to find something to back it up
All you gotta do is divide the pound by the cost

A submarine was situated 475 feet below sea level. if it ascends 150 feet, what is its new position relative to the sea level?

Answers

Answer:

325 feet below sea level i believe

Step-by-step explanation:

Which of the following statistical information about the data is calculated by the Column Statistics tool? Select the two correct answers ,Threshold calculation,Date analysis,Regression analysis,Median calculation

Answers

The correct answer is: Median calculation and Threshold calculation.

Median calculation: The Column Statistics tool can calculate the median of a dataset. The median is the middle value in a sorted dataset. It is a measure of central tendency that divides the data into two equal halves. Calculating the median can provide insights into the central value of a dataset and is less sensitive to extreme values compared to other measures like the mean.

Threshold calculation: The Column Statistics tool can calculate thresholds or cutoff points based on the data. These thresholds define certain conditions or ranges in the data. For example, you can set a threshold to identify data points above a certain value as outliers or flag data points that fall within a specific range. Threshold calculations can be useful for data cleansing, anomaly detection, or creating categorical variables based on certain conditions.

The other options, Date analysis and Regression analysis, are not typically calculated by the Column Statistics tool. Date analysis involves examining patterns and trends related to dates or time, which may require specialized techniques such as time series analysis or date-specific functions. Regression analysis is a statistical technique used to model the relationship between variables and requires more advanced tools or methods beyond basic column statistics.

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Other Questions
Using the exponential growth model, estimate the population of people between 60-64 years old for December 31, 2021, if it is known that as of December 31, 2018 there were 265,167 people, use a rate of 3.41%. Are each of the following pairs of variables likely to have a positive correlation or a negative correlation? a. Daily temperatures at noon in New York City and in Boston measured for a year. b. Weights of automobiles and their gas mileage in average miles per gallon. c. Hours of television watched and GPA for college students. d. Years of education and salary. A change from the LIFO to the FIFO inventory method represents a(n) -change in accounting principle.-change in entity. -change in accounting estimate. -correction of error. "Semitool Corp. has an expected excess return of 17.5% for next year. However, for every unexpected 1% change in the market, Semitool's return responds by a factor of 1.19. Suppose it turns out that the economy and the stock market do better than expected by 10% and Semitool's products experience more rapid growth than anticipated, pushing up the stock price by another 2%. Based on this information, what was Semitool's actual excess return? Note: Express your answers in strictly numerical terms. For example, if the answer is 5%, write 0.05" Given the following information, what is the least squares estimate of the y-intercept?xy250570475380694a)3.8 b)5 c) 7.8 d) 42.6 Explain why public goods should be provided by the governmentdirectly (10 marks) A company wants to find out the productivity of the service process of their call center located in Tabuk in the past three days. There are three workers assigned to the first shift and other three guys are assigned to the second shift (the call center is closed between 9 pm until 5 am). Machine/devices utilized cost 1.2 riyals per one customer processed. The historical data indicates that in the last three days the call center processed 38 customers in day 1, 37 customers in day 2, and 39 customers in day 3. The wage is set as 54 riyals per hour. offer your suggestions and/or caveats that managers need to consider in conducting budgeting and variance analyses amid the current pandemic period. A world renowned monopoly sells flacons of their most exquisite perfume. The monopoly has two types of consumers in equal proportions: high type and low type, denoted by H and L. Each consumer would like at most two flacons. Their valuations of the good are as follows. The H type would be willing to pay 35 + 10X to get one flacon, and 75 + 10X to get two. The L type would be willing to pay 30 + 10X to get one unit, and 40 + 10X to get two. You should substitute X for the last number of your student ID number. Getting no flacon is worth zero.Let T(q) denote the price charged when consuming q units, where T(0) = 0. The monopolist chooses T(q) to maximize her profit. We assume that the cost of production is zero.(a) Assume that the monopolist can distinguish the consumers and use first degree price discrimination. How much would each type of consumer buy and at what price?From now on, assume now that each consumers type (H or L) is private information.(b) Explain the reasons why the monopolist cannot keep the price schedule found in part (a) if consumers self-select. An Atwood's machine consists of two masses, mA and mB, which are connected by a massless inelastic cord that passes over a pulley, see the figure(Figure 1) .Part AIf the pulley has radius R and moment of inertia I about its axle, determine the acceleration of the masses mA and mB. [Hint: The tensions FTA and FTBare not equal. We discussed the Atwood machine in Example 4-13 in the textbook, assuming I=0 for the pulley.] It is known that the reliability function is as follows.r(x)=1-F(x)There are 1000 lights that are lit simultaneously until the time period for each lamp expires. For example, it is assumed that the lamp duration is uniformly distributed. Create the lamp's reliability function and describe and prove whether the case is a probability with the condition t0. (Note: It is allowed to use other distributions). In 350 - 600 words each answer the following sub-questionsA. It is impossible to replace petroleum with another energy source; you cannot install a nuclear reactor in your car. How would you advise minimizing the usage of petroleum to ensure a more reliable supply in the near future?B. Why is it crucial for mankind to conserve its nonrenewable energy sources? 5 3.5 points Inventory records for Dunbar Incorporated revealed the following: Number Unit Date Transaction of Units Cost 520 $2.43 Apr. 1 Beginning inventory Apr.20 Purchase 440 2.75 Dunbar sold 580 Suppose the measurements of a lake are shown below. Assume each subinterval is25 ft wide and that the distance across at the endpoints is 0 ft . Use the trapezoidal rule to approximate the surface area of the lake. 36 draws are made at random with replacement from a box that has 7 tickets: -3, -2, -1, 0, 1, 2, 3 is the smallest possible the sum of the 36 draws can be? The Persian wars came to an end about forty years after the first failed invasion of Greece led by Darius I, which means they ended around a.530 BCE. b.520 BCEc.450 BCE. d.440 BCE. Six Sigma is better applied on manufacturing than service operations.Select one:TrueFalse If the Fed wants to increase the money supply by $800 billion, given a reserve requirement of 10%, what would they do? (Note that for this problem, you are given the change in the money supply and must work backwards to calculate the initial bond purchase.) What is the present value of a cash flow that begins with $1,500 deposited at the end of year 1 and increases by $500 per year thereafter through year 30 (so year 2 deposit is $2,000, and the last deposit will be at the end of year 30)? Assume interest is 8% annual rate compounded annually. Find the general solution of the following differential equation 2xdx 2ydy = x?ydy 2xydx.