A point is selected at random from a line segment of length l, dividing it into two line segments. What is the probability that the longer line segment is at least three times as long as the shorter segment

Answers

Answer 1

Answer:

3/4

Step-by-step explanation:

Let a be the length of the shorter line segment and b be the length of the longer line segment.

Since the length of the line segment is l, we have that the length of the line segment equals length of shorter line segment + length of longer line segment.

So, l = a + b

Since we require that the longer line segment be at least three times longer than the shorter line segment, we have that b = 3a

So, l = a + b

l = a + 3a

l = 4a

The probability that the shorter line segment will be a(or 3 times shorter than b) is P(a) = length of shorter line segment/length of line segment = a/l

Since l = 4a.

a/l = 1/4

So, P(a) = 1/4

The probability that a will be less than 3 times shorter that b is P(a ≤ 1) = P(0) + P(a) = 0 + 1/4 = 1/4

The probability that b will be 3 times or more greater than a is thus P(b ≥ 3) = 1 - P(a ≤ 1) = 1 - 1/4 = 3/4


Related Questions

what is the correct answer to my question ?

Answers

Answer:

13/17

Step-by-step explanation:

what is answer if 2xyx5​

Answers

Answer:

Answer is 3bu2(DeEZ)=1

Step-by-step explanation:

Make a substitution to express the integrand as a rational function and then evaluate the integral. int_(25)^(81) sqrt(x)/(x-1) dx

Answers

Let y = √x, so that y ² = x and 2y dy = dx. Then the integral becomes

[tex]\displaystyle \int_{25}^{81} \frac{\sqrt x}{x-1}\,\mathrm dx = \int_{\sqrt{25}}^{\sqrt{81}} \frac y{y^2-1}(2y\,\mathrm dy) = 2 \int_5^9 \frac{y^2}{y^2-1}\,\mathrm dy[/tex]

Now,

y ² / (y ² - 1) = 1 + 1 / (y ² - 1) = 1 + 1/2 (1/(y - 1) - 1/(y + 1))

so integrating gives us

[tex]\displaystyle 2\int_5^9\frac{y^2}{y^2-1}\,\mathrm dy= \int_5^9\left(2+\frac1{y-1}-\frac1{y+1}\right)\,\mathrm dy \\\\= (2y+\ln|y-1|-\ln|y+1|)\bigg|_5^9 \\\\= \boxed{8+\ln\left(\dfrac65\right)}[/tex]

Which of the following are rational numbers?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

{7, -5, (2/3), 5.79}

»»————- ★ ————-««  

Here’s why:  

Rational numbers are numbers that could be written as a fraction with two integers.

⸻⸻⸻⸻

[tex]\boxed{\text{\underline{\textbf{Some Examples of Rational Numbers Are...}}}}\\\\\rightarrow \text{Integers}\\\\\rightarrow \text{Perfect Squares}\\\\\rightarrow \text{Terminating Decimals}\\\\\rightarrow \text{Recurring Decimals}[/tex]

⸻⸻⸻⸻

7 and -5 are integers, so they are rational. [tex]\frac{2}{3}[/tex] is already a fraction with integers. It is rational.5.79 is a terminating decimal. It is rational.The number π is a famous irrational number. It does not terminate nor repeat. [tex]\sqrt{13}[/tex] is not a perfect square. It is irrational.[tex]\sqrt{-4}[/tex] is a perfect square, but it is simplified to a complex number. Complex numbers are not rational.

⸻⸻⸻⸻

The rational numbers are {7, -5, (2/3), 5.79}.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

simplify 3x⁵y³ ÷2y² step by step​

Answers

Answer:

3/2 x^5 y

Step-by-step explanation:

3x^5y^3

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

2y^2

Simplify the y terms

y^3 / y^2 = y^(3-2) = y

3/2 x^5 y

Answer:

[tex] \frac{3}{2} x {}^{5} y {}^{} [/tex]

Step-by-step explanation:

it's all in the image

team A ships 6 times as many as team B and one third as many as team C. if team C ships 287450 packages, how many packages does team B ships?

Answers

Answer:

95816.666667

explained

1÷3*287450

In a family of 3 children, what is the probability that there will be exactly 2 boys assuming that the sexes are equally likely to occur in each birth​

Answers

Answer:

There is a 60.00 percent probability of a particular outcome and 40.00 percent probability of another outcome.

If (3x − 2)(3x + 2) = ax2 − b, what is the value of a?

Answers

(3x-2)(3x+ 2)

Multiply each term in one set of parentheses by the other terms:

3x x 3x =9x^2

3x x 2 = 6x

-2 x 3x = -6x

-2 x 2 = -4

Combine to get:

9x^2 + 6x - 6x -4

Combine like terms:

9x^2 - 4

The value of a would be 9.

[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]

(3x − 2)(3x + 2) = ax2 − b⠀⠀⠀⠀

[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]

⠀what is the value of a?⠀⠀⠀

[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]

At first we have to solve the value of (3x-2)(3x+2)

[tex]\sf{(3x-2)(3x+2) }[/tex]

[tex]\sf{3x(3x+2)-2(3x+2) }[/tex]

[tex]\sf{9x^{2}+6x-6x-4 }[/tex]

[tex]\sf{9x^{2}-4 }[/tex]

According to the question,

[tex]\sf{ (3x − 2)(3x + 2) = ax^{2} − b }[/tex]

[tex]\sf{9x^{2}-4=ax^{2}-b }[/tex]

[tex]\sf{9x^{2}=ax^{2}~and~-4=-b }[/tex]

[tex]\sf{a=9~and~b=4 }[/tex]

⠀⠀⠀

[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]

Hence,

The value of a is 9

i need help solving this .

Answers

Answer:b

Step-by-step explanation:

Answer:

just be smart trust me u dont need us to give u the answer ur super smart

Step-by-step explanation:

make me brainliest to help people be encourage

What is the slope of (-0,-1) and (3,1)

Answers

2/3

Filler text filler text

Answer:

Step-by-step explanation:

(0, -1)  & (3 ,1)

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{1-[-1]}{3-0}\\\\=\frac{1+1}{3}\\\\=\frac{2}{3}[/tex]

Midwest Publishing publishes textbooks. The company uses an 800 number where people can call to ask questions about the textbooks and place orders. Currently, there are 2 representatives handling inquiries. Calls occurring when both lines are in use get a busy signal. Each representative can handle 12 calls per hour. The arrival rate is 20 calls per hour.

Required:
a. How many extension lines should be used if the company wants to handle 90% of the calls immediately?
b. What is the probability that a call will receive a busy signal if your recommendation in part (a) is used?
c. What percentage of calls receive a busy signal for the current telephone system with two extension lines?

Answers

Answer:

A. 18 calls

B. 0.9

C. 20

Step-by-step explanation:

Number of representatives=2,

Number of extension lines=2,

Average calls each representative can accommodate per hour = 15 calls,

Arrival rate per hour = 30 calls

(a) 90% of the arrival rate = 0.09 × 20 = 18 calls

To handle 18 calls immediately, 18 extension lines should be used

(b) Probability is given by number of possible outcomes ÷ number of total outcomes

Number of possible outcomes = 18, number of total outcomes = 20

Probability (call will receive busy signal) = 18/20 = 0.9

(c) For one extension line, numbers of calls to receive busy signal = 20 - 10 = 10 calls

Number of calls to receive busy signal for the current telephone system with two extension lines = 2 × 10 = 20 calls

Lionel sells to two groups of customers – 50% of its sales are to wholesalers and 50% to retailers. All sales to retailers are cash sales. Collections from wholesalers are follows: 75% in the month of sale and 25% in the month following sale. ii) 60% of direct material purchases are paid in cash in the month of purchase, and the balance is paid in the month following the purchase. iii) All other expenses are paid in the month incurred. iv) Manufacturing overhead includes monthly depreciation of $15,000. v) Sales: March, $320,000. vi) Purchases of direct materials: March, $175,000. vii) Other receipts: April – Donation received, $2,000 May – Sale of used office furniture, $4,000. viii) Other disbursements: May – Purchase of Ice Cream Mixer, $10,000. ix) Repays loan: April, $30,000. x) Cash balance on April 1, is expected to be $50,000.

Answers

Answer:

:D

Step-by-step explanation:

Cost of sales. Administrative expenses. Distribution costs. Property costs. Depreciation. [13]. Page 6. 6. © UCLES 2019. 9706/23/M/J/19.

All I need is number two

Answers

3/5 of a gallon or .06

Explanation:

To solve you need to divide the three gallons of paint by the 5 cans. This can be solved in two ways.

Way 1 (fraction)

This is the easiest way, you simply put the first number in the equation on top and the second on the bottom, then simplify if possible. When we do this we get 3/5 and it can’t be simplified so we leave it as the fraction three fifths of 3/5.


Way 2 (decimal)

This way you divide 3 by 5, you can use long division to do this but it takes a long time. The answer is 0.6.


I hope this helps. Please mark me the Brainliest, it’s not necessary but I put time and effort into every answer and I would appreciate it greatly. Have a great day, stay safe and stay healthy ! :)
3/5 if a gallon. Whay

We roll a pair dice 10,000 times. Estimate the probability that the number of times we get snake eyes (two ones) is between 280 and 300.

Answers

Answer:

0.3573 = 35.7%

Step-by-step explanation:

We roll a pair of dice 10,000 times so the mean and standard deviation is,

μ  = 10000/36  =277.7          σ = [tex]\sqrt{10000*\frac{35}{36^{2} } } =16.4[/tex]

[tex]z_{1}[/tex] = (280 - 277.7)/16.4 = .14

[tex]z_{2}[/tex] = (300 - 277.7)/16.4 = 1.35

Probablity (range)  

0.3573  

Z(low)=0.14        0.555766357

Z(upper)=1.36        0.91304644

I can’t remember how to solve this?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{(5.27+x)}{2} =-4.51[/tex],[tex]\frac{8.21+y}{2} = 1.37[/tex]

(3.75,-5.47)

You work as an office assistant who does data entry for a large survey company. Data entry is performed in two-person teams: one person types and the other checks that person's work for errors. Each two-person team, on average, can enter the data of 520 surveys per day. A huge collection of 7,540 surveys will arrive tomorrow and must be entered by the end of the day. In order to enter all of the survey data, how many total employees, working in two-person teams, must work tomorrow?

Answers

Answer:

you just gave your self the answer because you just need to multiply

Step-by-step explanation:

15080 is the answer

Starting from point A, a boat sales due south for 4 miles, then due east for 5 miles, then due south again for 6 miles. How far is the boat from point A?​

Answers

Answer:

17 miles

By adding the miles they have traveled, you get you total distance.

Q.1 Determine whether y = (c - e ^ x)/(2x); y^ prime =- 2y+e^ x 2x is a solution for the differential equation Q.2 Solve the Initial value problem ln(y ^ x) * (dy)/(dx) = 3x ^ 2 * y given y(2) = e ^ 3 . Q.3 Find the general solution for the given differential equation. (dy)/(dx) = (2x - y)/(x - 2y)

Answers

(Q.1)

[tex]y = \dfrac{C - e^x}{2x} \implies y' = \dfrac{-2xe^x-2C+2e^x}{4x^2} = \dfrac{-xe^x-C+e^x}{2x^2}[/tex]

Then substituting into the DE gives

[tex]\dfrac{-xe^x-C+e^x}{2x^2} = -\dfrac{2\left(\dfrac{C-e^x}{2x}\right) + e^x}{2x}[/tex]

[tex]\dfrac{-xe^x-C+e^x}{2x^2} = -\dfrac{C-e^x + xe^x}{2x^2}[/tex]

[tex]\dfrac{-xe^x-C+e^x}{2x^2} = \dfrac{-C+e^x - xe^x}{2x^2}[/tex]

and both sides match, so y is indeed a valid solution.

(Q.2)

[tex]\ln\left(y^x\right)\dfrac{\mathrm dy}{\mathrm dx} = 3x^2y[/tex]

This DE is separable, since you can write [tex]\ln\left(y^x\right)=x\ln(y)[/tex]. So you have

[tex]x\ln(y)\dfrac{\mathrm dy}{\mathrm dx} = 3x^2y[/tex]

[tex]\dfrac{\ln(y)}y\,\mathrm dy = 3x\,\mathrm dx[/tex]

Integrate both sides (on the left, the numerator suggests a substitution):

[tex]\dfrac12 \ln^2(y) = \dfrac32 x^2 + C[/tex]

Given y (2) = e ³, we find

[tex]\dfrac12 \ln^2(e^3) = 6 + C[/tex]

[tex]C = \dfrac12 \times3^2 - 6 = -\dfrac32[/tex]

so that the particular solution is

[tex]\dfrac12 \ln^2(y) = \dfrac32 x^2 - \dfrac32[/tex]

[tex]\ln(y) = \pm\sqrt{3x^2 - 3}[/tex]

[tex]\boxed{y = e^{\pm\sqrt{3x^2-3}}}[/tex]

(Q.3) I believe I've already covered in another question you posted.

27
78%
Work out the area of this circle.
Take a to be 3.142 and write down all the digits given by your calculator.
21
0
Type here to search
I

Answers

Answer: See explanation

Step-by-step explanation:

Your question isn't complete and well written but I'll give examples on the calculation of the area of a circle.

1. Let's assume that a circle has a radius of 14cm and we want to know the area.

Area of a circle = πr²

where π = 3.142

r = radius = 14cm

Area = πr² = 3.142 × 14²

= 3.142 × 196

= 615.382cm²

2. Let's assume that we are given a diameter of 10cm and told to calculate the area of the circle.

Note that Diameter is twice the radius.

Area of a circle = πr²

where π = 3.142

r = radius = Diameter/2 = 10cm/2 = 5cm

Area = πr² = 3.142 × 5²

= 3.142 × 25

= 78.55cm²

Cai wants to buy cherries and apples to make a fruit tart. Cherries cost $3.75 per
pound and apples cost $2.25 per pound. How much does he spend if he buys 2
pounds of cherries and 1.5 pounds of apples? How much does he spend if he buys x
pounds of cherries and y pounds of apples?

Answers

2 pounds of cherries cost 2x3.75 dollars = 7.5 dollars.
1.5 pounds of apples cost 1.5x2.25 = 3.375 dollars.
The total is $10.87.5 (rounded to $10.88)

For x pounds of cherries and y pounds of apples, the cost is 3.75x + 2.25y

The accompanying data are lengths (inches) of bears. Find the percentile corresponding to 61.0 in.
(Round to the nearest whole number as needed.)
Bear Lengths
36.0 37.0 39.5 40.0 40.5 43.0 44.0 45.5 45.5 46.5 48.0 48.00 49.0 50.0 51.5 52.5 53.0 53.5 54.0 57.3 57.5 58.0 58.5 59.0 59.5 60.0 61.0 61.0 61.0 61.5 62.0 62.5 63.0 63.0 63.5 64.0 64.0 64.0 64.5 65.0 66.0 67.5 67.5 68.5 70.0 70.5 71.5 72.0 72.5 72.5 72.5 73.5 74.5 77.5

Answers

Answer:

52nd percentile

Step-by-step explanation:

The sorted data :

36.0, 37.0, 39.5, 40.0, 40.5, 43.0, 44.0, 45.5, 45.5, 46.5, 48.0, 48.00, 49.0, 50.0, 51.5, 52.5, 53.0, 53.5, 54.0, 57.3, 57.5, 58.0, 58.5, 59.0, 59.5, 60.0, 61.0, 61.0, 61.0, 61.5, 62.0, 62.5, 63.0, 63.0, 63.5, 64.0, 64.0, 64.0, 64.5, 65.0, 66.0, 67.5, 67.5, 68.5, 70.0, 70.5, 71.5, 72.0, 72.5, 72.5, 72.5, 73.5, 74.5, 77.5

The total size of the data = 54

The value 61.0 occurs in position ; 27th, 28th and 29th

Taking the position average :

(27+28+29)/3 = 84/3 = 28th position

This means the percentile score of 61 is :

(Position average / total size) * 100%

(28/54) * 100%

0.5185185 * 100%

= 51.85%

This means that 61 inch length falls in the 52nd percentile


Thinking Critically and Solving Problems
About how much did the percent of working women with some college or an associate degree change
from 1996 to 2016?
Use the graph to answer the question.
Percent of women in the labor
force by educational attainment
100%
OOOO
A) 0%
B) 8%
C) 12%
D) 70%
80%
60%
Less than a high school diploma
High school graduates, no college
Some college or associate degree
Bachelor's degree and higher
40%
20%
0%
SUBMIT
1996
2006
2016
Source: U.S. Bureau of Labor Statistics
Question 16 of 21
31 AM

Answers

Answer:maybe B?

Step-by-step explanation:

Question 1 of 12, Step 1 of 1
0/17
Correct
Two planes, which are 2800 miles apart, fly toward each other. Their speeds differ by 50 mph. If they pass each other in 4 hours, what is the sspeed of each?
Keypad

Answers

Answer:

325 and 375 mph

Step-by-step explanation:

Given :

Distance between plane A and B = 2800

Recall :

Distance = speed * time

Let speed of A = v1

Speed of B = v2

v1 = v2 + 50

Time taken = 4 hours

Distance = speed * time

Total distance = 2800

2800 = v1 * 4 + v2 * 4

2800 = (4v1) + (4v2)

2800 = 4(v2+50) + 4v2

2800 = 4v2 + 200 + 4v2

2800 = 8v2 + 200

2800 - 200 = 8v2

2600 = 8v2

v2 = 2600/8

v2 = 325 mph

v1 = v2 + 50

v1 = 325 + 50

v1 = 375 mph

(3x^3)^2 write without exponent

Answers

Answer:

9*x*x*x*x*x*x.

Step-by-step explanation:

(3x^3)^2

= 3^2 * x^(3*2)

= 3^2 * x^6

= 9*x*x*x*x*x*x

URGENT
Look at picture to see question

Answers

Answer:

first row you add 4 to get the next term. look at the difference in numbers.

second row the difference is 3 so you add 3 to get the next one.

3rd row the nth term is 3n so the one above would be 2n and the first /top nth term would just be n on its own - meaning one lot of it

4th row add 5 so 7-5= 2 being the 0th term. so just add 5 each time. so it would be 4n

bottom row the difference is 14 or to get that do 26-12

don't let it trick you out- after the third term it goes to the tenth so it would be best getting a piece of paper and working the whole of it out so u don't get confused

A game-show spinner has these odds of stopping on particular dollar values: 55% for $5, 20% for $25, 15% for $50, and 10% for $500. What are the odds of a player winning $5 or $25

Answers

Answer: 75%

Step-by-step explanation:

-6×-5y=6
4x+y=3
What's answer to this equation

Answers

9514 1404 393

Answer:

  (x, y) = (3/2, -3)

Step-by-step explanation:

Using the second equation, we can write an expression for y:

  y = 3 -4x

Using this in the first equation, we have ...

  -6x -5(3 -4x) = 6

  -6x -15 +20x = 6 . . . . eliminate parentheses

  14x = 21

  x = 21/14 = 1.5

  y = 3 -4(1.5) = 3 -6 = -3

The solution is (x, y) = (1.5, -3).

__

I find a graphing calculator a useful tool for finding solutions quickly.


HELP!!!!!! I need an answer fasttttt

Answers

Answer:

see the attachment

Step-by-step explanation:

Hope it helps you

Slope. = -1. (Negative slope )
Connect the points with a ruler
y-intersect (0,2) ) and (1,1) and now you have your graph

Translate the sentence into an inequality.
The sum of 5 and c is greater than – 22.
what da hell the answer ?

Answers

Answer:

5 + c > -22

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Inequalities

Step-by-step explanation:

Step 1: Define

Sum of 5 and c is greater than -22

Identify

Sum = addition

5 + c

Is greater than = inequality

>

Add them all together:

5 + c > -22

Which angle is complementary to angle CFD ?

Answers

Answer:

∠DFE

Step-by-step explanation:

Complementary angles are angles that have a sum of 90°. Since there is a box on angle ∠CFB, we can infer that ∠CFE is also 90°. This is because the two are supplementary (equal 180°). Therefore, ∠DFE is the other part of ∠CFD that would complete the 90° pair.

Other Questions
Write an equivalent expression for each of the following. Express your answers in the form a + bi or a - bi(5 + i)(9 + i)Help please What is the value of g? What is the circumstances that led to Aksionov's imprisonment ? ( God sees the truth) A thesaurus is a book listing and often including related words and antonyms. 14. What is the measure of angle w? Show all work. Financial maths-- multiple choice!!!What is the risk associated with electronic money management that can arise from a bank not having enough cash on hand?solvencyliquiditycredit riskoperational risk Chng minh chng trnh cc mn hc v t nhin v x hi c cu trc ng tm v pht trin. Find the angle that has tangent,1.000.Give your answer correct to two significant figures the velocity of a body is increases from 10 m/s ti 15 m/s in 5seconds calculate its acceleration 5 times a certain number plus 2 times that number plus 2 is 16 what is the number differences between interpersonal skill and self awareness skill? Help needed in biology! In a synthesis experiment you obtain a sample of product on which you do a melting point determination and find a melting point range of 114 to 125 degrees Celsius. The sample is supposed to be acetylsalicyclic acid. What preliminary conclusion(s) can you reach from this one determination An ant moves towards the plane mirror with speed of 2 m/s & the mirror is moved towards the ant with the same speed. What is the relative velocity between the ant and its image? todayisMonday and it's the first Homeroom, we haveall classes today but odd ones tomorrow. find the center of a circle with the equation: x^2+y^2-32x-60y+1122=0A. (24, 30)B. (13, 20)C. (14, 28)D. (16, 30) what is the best thing that has happened ? Drag the tiles to the boxes to form correct pairs.Match the pairs of equivalent expressions. List at least two categories of comparison that could be used tocompare the arguments in Federalist No. 10 and Brutus No. 1. find the domainPLEASE AND THANK YOUUUU