If two different integers between 1 and 100 inclusive are chosen at random, what is the probability that the difference of the two numbers is 15

Answers

Answer 1

Answer: 17 / 990

Step-by-step explanation:

To obtain the probability of the question above :

Find the count of number pairs whose difference gives is 15 in the range (1 to 100).

Also find the count of all distinct number pair differences

Number pair which have a difference of 15 = 85

Total distinct number pair differences = 4950

Probability = required outcome / Total possible outcomes

P(difference of 15) = 85/4950 = 17/990


Related Questions

What is the value of f(0) on the following graph?
y = f(x)

Answers

Answer:

f(0)=2

Step-by-step explanation:

As the graph states y=f(x), so to solve you must find the value of y when x=0 (because that is what is in the paratheses). So go to the place on the graph where x equals 0 then follow up until you intersect with the function. If x=0 then y=2.

I need to find the missing angle of this triangle or whatever it is

Answers

Answer:

×=126+28

=154 degrees

What is the quotient of 1 1/4 divided by 21 1/4

Answers

Answer: 1/17

Explanation:

1 1/4 = 5/4
21 1/4 = 85/4

5/4 divide by 85/4
= 5/4 x 4/85
= 1/17

Answer:

quotient of 11/4 to be divided by 21 /1/4

gives you 7/8/11

64 mi/h to ft/s HELP HELP HELP HELP NOW!!!! WILL PUT 5 STARS AND MARK BRAINLIEST!!!

Answers

Answer:

Multiply 64 x 5280

Step-by-step explanation:

You will get your answerhello

Answer:

64 mi/h = 93.9 ft/s I have the answer guide

17-6r=25-3r answer it please

Answers

Answer: r = - 8/3

Step-by-step explanation: im pretty sure thats the write answer

how long does it take an airplane if it files a distance of 2000 miles at a rate of 500mph

Answers

Answer:

4 hours

Step-by-step explanation:

We can find the time using the formula [ t = d/s ] where d = distance and s = speed.

t = 2000/500

t = 4 hours

Best of Luck!

(11 points!) PLEASEEEEEEEEE Find the value of x for numbers 6,7,8,and 9 and please attach work or a good explanation thank you sm in advance!❤️

Answers

(6) 2xº = 86º  ==>  x = 43

(7) 108º = 3xº  ==>  x = 36

(8) 72º = 4xº  ==>  x = 18

(9) 111º = (x + 21)º  ==>  x = 90

Answer:

1.

2x=86

x=43

2.

3x=108

x=36

3.

4x=72

x=18

4.

x+21=111

x=90

A magazine includes a report on the energy costs per year for​32-inch liquid crystal display​ (LCD) televisions. The article states that 14 randomly selected​ 32-inch LCD televisions have a sample standard deviation of ​$3.42 . Assume the sample is taken from a normally distributed population. Construct 98 ​% confidence intervals for​ (a) the population variance sigma squared and​ (b) the population standard deviation sigma .
Interpret the results. ​(a) The confidence interval for the population variance is ​(___,___ ​). ​(Round to two decimal places as​ needed.)
Interpret the results. Select the correct choice below and fill in the answer​ box(es) to complete your choice. ​(Round to two decimal places as​ needed.)
A. With 98 ​% ​confidence, you can say that the population variance is less than ___.
B. With 2 ​% ​confidence, you can say that the population variance is between nothing and ___ .
C. With 98 ​% ​confidence, you can say that the population variance is between ___ and ___ .
D. With 2 ​% ​confidence, you can say that the population variance is greater than ___
​(b) The confidence interval for the population standard deviation is ​(n___,___​). ​(Round to two decimal places as​needed.)
Interpret the results. Select the correct choice below and fill in the answer​ box(es) to complete your choice. ​(Round to two decimal places as​ needed.)
A. With 98​% ​confidence, you can say that the population standard deviation is between ___ and ___ dollars per year.
B. With 98​% ​confidence, you can say that the population standard deviation is greater than ___ dollars per year.
C. With 2​% ​confidence, you can say that the population standard deviation is less than ___ dollars per year.
D. With 2​% ​confidence, you can say that the population standard deviation is between ___ and ___ dollars per year.

Answers

Answer:

a

The confidence interval for the population variance is ​[tex] 5.49 < \sigma^2 < 37.02 [/tex]  

The correct option is  C

b

The confidence interval for the population standard deviation is [tex] 2.34 < \sigma < 6.08 [/tex]

The correct option is  A

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  14

    The standard deviation is  [tex]s = \$3.42[/tex]

Generally the degree of freedom is mathematically represented as

     [tex]df =  14 -1[/tex]

=>   [tex]df =  13 [/tex]    

Given that the confidence level is  98%  then that level of significance is  

     [tex]\alpha = (100 -98) \%[/tex]

=>  [tex]\alpha = 0.02[/tex]

Generally the 98% confidence interval for the variance  is mathematically represented as

     [tex]\frac{(n- 1) s^2}{x^2 _{[\frac{\alpha }{2} , df]}}  < \sigma^2 < \frac{(n- 1) s^2}{x^2 _{[1- \frac{\alpha }{2} , df]}}[/tex]

=> [tex]\frac{(14- 1) (3.42)^2}{x^2 _{[\frac{0.02 }{2} , 13]}}  < \sigma^2 < \frac{(14- 1) (3.42)^2}{x^2 _{[1- \frac{0.02 }{2} , 13]}}[/tex]

From the chi -distribution table  

     [tex]x^2 _{[1- \frac{0.02 }{2} , 13]} = 4.107[/tex]

and

    [tex]x^2 _{[\frac{0.02 }{2} , 13]} = 27.689[/tex]

So

=> [tex]\frac{(14- 1) (3.42)^2}{27.689}  < \sigma^2 < \frac{(14- 1) (3.42)^2}{4.107}[/tex]    

=> [tex] 5.49 < \sigma^2 < 37.02 [/tex]    

Generally the 98% confidence interval for the standard deviation   is mathematically represented as

   [tex]\sqrt{\frac{(n- 1) s^2}{x^2 _{[\frac{\alpha }{2} , df]}}}   < \sigma <\sqrt{ \frac{(n- 1) s^2}{x^2 _{[1- \frac{\alpha }{2} , df]}}}[/tex]

=> [tex]\sqrt{5.49}  < \sigma < \sqrt{37.02 }[/tex]

=> [tex] 2.34 < \sigma < 6.08 [/tex]

Multiply 3/5 by 10/21 Express your answer in simplest form ​

Answers

Answer:

2/7

Step-by-step explanation:

Answer:

3/5 * 10/21= 2/7

A certain scale has an uncertainty of 4 g and a bias of 2 g. A single measurement is made on this scale. What are the bias and uncertainty in this measurement

Answers

Answer: 0.8

Step-by-step explanation:

given data:

uncertainity = 4g

bias = 2g

solution:

σX =0.2 and σY = 0.4

σcX

= 3σX

= 4(0.2)

= 0.8

Pleaseeeeeee I rlly need help y’all help me out PLEASE HELP ASAP WILL GIVE BRAINLEIST
Mr. Velasquez wants to make a scale drawing of a set for an upcoming play. If the actual width of the stage is 18 feet and the scale he is using is LaTeX: \frac{1}{2}in
1
2
i
n
: 15 feet. What would the width of the stage be in the scaled drawing?



Answer as a decimal.

Answers

Answer:

0.6 in

Step-by-step explanation:

Scale of drawing = ½ inch to 15 ft (½ in : 15 ft)

That is, ratio of the width on paper to actual width.

Given an actual width of 18 ft, the width of the stage on paper can be calculated as shown below:

½ in : 15 ft = x in : 18 ft

[tex] \frac{\frac{1}{2}}{15} = \frac{x}{18} [/tex]

[tex] \frac{1}{2}*\frac{1}{15} = \frac{x}{18} [/tex]

[tex] \frac{1*1}{2*15} = \frac{x}{18} [/tex]

[tex] \frac{1}{30} = \frac{x}{18} [/tex]

Cross multiply

[tex] 30*x = 18*1 [/tex]

[tex] 30x = 18 [/tex]

Divide both sides by 30

[tex] \frac{30x}{30} = \frac{18}{30} [/tex]

[tex] x = \frac{18}{30} = \frac{6}{10} [/tex]

[tex] x = 0.6 [/tex]

Width of the stage in scale drawing = 0.6 in

what divide by -1/2 equals -7/3

Answers

It would be 3/14 hope that helps :)

is this a keep, change, change?
-9-8

Answers

Answer:

Yes, they cancel each other out.

Step-by-step explanation:

Personally never liked the keep, change, change method. Pemdas is what I use, however this is an easy one so nothing so major.

Given the equation y=12x, x representing number of hours worked, y representing amount of money earned, how much would John earn if he worked 6 hours?

Answers

9514 1404 393

Answer:

  72

Step-by-step explanation:

Substitute 6 for x in the equation and do the arithmetic.

  y = 12x

  y = 12·6 = 72

John earns 72 money units in 6 hours.

James is studying different kinds of weather. Rain has water drops that are larger than 0.02 inch in diameter. Small hailstones are less than 14 inch in diameter. Complete the statement that best represents the different kinds of weather James studied. Select one correct answer from each box to complete the sentence.

Answers

Answer:

wheres the stament

Step-by-step explanation:

Answer:

huh

Step-by-step explanation:

t> -5
can someone show step by step how to solve this equation?

Answers

Answer: The equation cannot be simplified any further.

Explanation: The variable(t) is greater than any number than negative five.

Plz mark brainliest:)

The endpoints of EF¯¯¯¯¯ are located at E (−3, 2) and F (3, 8). Point D divides EF¯¯¯¯¯ such that ED : DF is equal to 1 : 3. For each box, select the values in the dropdown that make the statement true. The x-coordinate of point D is and the y-coordinate of point D is

Answers

Answer:

[tex]D(x,y) = (-1.5,3.5)[/tex]

Step-by-step explanation:

Given

[tex]E = (-3,2)[/tex]

[tex]F = (3,8)[/tex]

[tex]ED: DF = 1 : 3[/tex]

Required

Determine the coordinates of D

This is calculated as thus:

[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where:

[tex](x_1,y_1) = (-3,2)[/tex]

[tex](x_2,y_2) = (3,8)[/tex]

[tex]m:n = 1:3[/tex]

[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

[tex]D(x,y) = (\frac{1 * 3 + 3 *-3}{1+3},\frac{1 * 8 + 3 * 2}{1+3})[/tex]

[tex]D(x,y) = (\frac{-6}{4},\frac{14}{4})[/tex]

[tex]D(x,y) = (-1.5,3.5)[/tex]

Find the midpoint of the line segment joining the points ​R(3​,​3) and ​S(​-2,6​).

Answers

Answer: 2,9

(3,3) & (-2,6) midpoints

Answer:

(0.5,4.5)

Step-by-step explanation:

Use the midpoint formula to find the answer: ((x1+x2/2),(y1+y2/2))

((3-2/2),(3+6/2))

((1/2),(9/2))

(0.5,4.5)

Six and forty-two ten-thousandths as a decimal

Answers

6.0042 is the answer
6.042 is the answer hope u get this

2
10x2 - 724
100x2 + 140xy + 4972 10x + 7y

Answers

Answer:

14xy/(10x+7y)^

Step-by-step explanation:

HELP! WILL MARK BRAINLIEST!

Answers

Answer:

The answer to this question is C.

Step-by-step explanation:

All that you have to do is multiply the exponents.

Match each equation with its solution equation n-13=-12

Answers

Answer:

n=1, :) :P UwU TwT -_-

Answer:

n = 1

Step-by-step explanation:

n-13=-12

n-13-(-12)=0

n-1=0

n=1

g The company charges a flat fee of $20 plus $0.48 for every mile the car is driven. Find the cost c c of renting a car from Rent-A-Wreck for a day when x x number of miles are driven.

Answers

Answer:

The cost for day when x miles are driven is

C = 0.48x + 20

Step-by-step explanation:

Firstly, we shall need to write an equation that represents the rent age

Let C be the cost and m is the number of miles driven

C = 20 + 0.48m

So given that x miles are driven, then m = x

This implies = 20 + 0.48x

The Dean of the Business School at State University would like to test the hypothesis that no difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course. A random sample of eight students who took both courses was selected and their final exam grades for each course are shown below.

Student 1 2 3 4 5 6 7 8
Marketing 82 86 74 93 90 76 87 100
Finance 76 91 70 79 96 70 85 81

If Population 1 is defined as the Marketing exam scores and Population 2 is defined as the Finance exam scores. Which of the following test is appropriate for Dean's hypothesis?

a. One-way ANOVA
b. Paired samples t- test
c. One sample t- test
d. Independent samples t-test

Answers

Answer:

Paired samples t- test is appropriate for Dean's hypothesis

Step-by-step explanation:

Given Data :

Student           1     2     3      4      5      6      7      8

Marketing      82  86   74    93    90    76   87   100

Finance         76   91    70    79    96     70  85   81

We are supposed to find the test which is appropriate for Dean's hypothesis

We are given the grades of two different subjects for same student

We perform the paired t test because the final grades for the Marketing and Finance  is taken for the same student.

So, Option B is correct

Hence Paired samples t- test is appropriate for Dean's hypothesis

Dominique has $13.75 in her piggy bank. All of the money are quarters. How many quarters are in the piggy bank?

Answers

Answer: I think its 0.55

Step-by-step explanation: if you do 25 times 0.55 because quarter's are 25 cents it equals 13.75

The number of quarters in the piggy bag will be 55.

What is unit conversion?

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure. Unit conversion is the process of changing a quantity's measurement between different units, frequently using multiplicative conversion factors.

Given that Dominique has $13.75 in her piggy bank. All of the money is quarters.

The number of the quarters will be calculated as:-

1 dollar ⇒ 4 quarters

13.75 dollars ⇒ 13.75 x 4 quarters

13.75 dollars ⇒ 55 Quarters

Therefore, the number of quarters in the piggy bag will be 55.

To know more about unit conversion follow

https://brainly.com/question/15661961

#SPJ6

A bug starts at the origin of the coordinate plane. The bug moves One-fourth units right and One-fourth units down to point A. Which graph shows the location of point A?

Answers

Answer:

the answer would be d

Step-by-step explanation:

i took the test on edge2020

Answer:

D

Step-by-step explanation:

Edg 2020

HELP ASAP PLEASE

Given x^2=81, select all possible values of x.

A. -9
B. -3
C. 0
D. 3
E. 9

Answers

Answer:

A and E

Step-by-step explanation:

x² = 81

~Take the square root of both sides

x = ±9

Best of Luck!

Answer:

The answer is a and e

Step-by-step explanation:

True or False: A triangle can be formed with sides 3inches, 3inches, 6inches. Explain your choice.

Answers

Answer: It's true because 3+3+6 = 12 and a triangle has 3 sides and 12/3 is 4 that's why a triangle can be fored with these measurments.

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

It would be classified as an isosceles triangle.

Hope this helps!

Yousef typed a 36-word paragraph in 23 minute. What is his typing speed, in words per minute?

Answers

Answer:

1.5652173913 words per minute.

Step-by-step explanation:

When you divide 36 words/ 23 minutes, you get 1.5652173913.

If 5/9 of a tank can be filled in 2minutes , how many minutes will it take to fill the whole tank?

Answers

Answer:

4 1/2 minutes

Step-by-step explanation:

.

Other Questions
Democratic Party History short summary Based on what you have learned in this activity, will you share the link to that article onbrainpower? Why or why not? What should you tell your friend who originally shared the linkabout the article? The next time that you run across a link on social media, what steps willyou take to evaluate it before clicking "share"?ISubmit A store pays $98 for a winter coat and marks the price up 10%.What is the price? Write the given equation in STANDARD FORM (slope standard form)y = 2x + 3/7 How did geography impact the development and success of Phoenicia? Why? An individual has $2000 in physical assets, and $600 in cash initially. This person faces the following loss distribution to the wealth. Full insurance is available at $600 Probability Loss 0.5 0 0.1 200 0.2 400 0.1 1000 0.1 2000 The Individual can also buy partial insurance with i. a $200 deductible, or ii. 75% coinsurance, or iii. Upper limit on coverage, with the limit being $1000. The premium on each partial coverage policy is $450. Required:Provide a ranking of the four types of policies for the individual, in terms of preference if the preference function is given by U(FW) = LN(1+FW), where FW is final wealth of the individual. ok, this is the last question I need help with(I think) please answer. I give Brainliest for best answer Select the statement that describes this expression: 8 + fraction 1 over 2 x (6 2) 1. (2 points) 8 more than half the difference of 2 and 1, and then subtract 6 Add 8 to half the difference of 6 and 2, then subtract 1 The sum of 8 and fraction 1 over 2 times 6 plus 2 minus 1 1 less than half of 6 plus the sum of 8 and 2 Read this passage and then answer the following question.Hans hat viele Freunde. Zwei seiner Freunde sind Schweizer. Sie kommen aus der Schweiz. Sie heien Marco und Urs. Sie gehen nach Afrika. Hans liest viel ber Afrika. Hans spricht mit Marco und Urs. Hans fhrt mit Marco und Urs nach Afrika.Wohin fhrt Hans?sterreichSchweizAsienAfrika Place the events in chronological order . Which of the following sentences contains an incorrect pronoun shift? If a patient is in pain, they can use the call button to alert a nurse. I am not sure how you manage a small business on your own! Laura drove herself to the hospital. Describe the transformation A) translation 2 units down B) reflection across y=-1C) reflection across the x-axis D) across the y-axis Please help Aaaaaaaaaaaaaaaaaaaah Please help with !!!!!!!! Which situation occurs if the president does not sign or veto a bill after ten days while Congress is still in session? HELP!!!! ASAP!The Earth rotates once every _____.O 23 1/2 hoursO 365 daysO 24 hoursO 366 days Barium 122 has a half-life of 2 minutes. Suppose you obtain a sample weighing 10.0 g and it takes 10 minutes to set up an experiment. How many grams of Barium 122 will remain at the point when you begin the experiment A researcher is conducting research on using technology in teaching. The researcher has two groups. The first group receives instruction via a PowerPoint presentation that is online. The second group attends a class and receives instruction from a teacher face to face. The researcher classifies the students based on when they volunteer for the study. The first 50 students who volunteer receive online instruction. The next 50 receive instruction by attending a class with a teacher. With respect to this study, we could identify that: Find the perimeter of the figure. Write your answer in simplest form. Help pleaseee!The members of the Federal Reserve System must hold some of their deposits in cash in their vaults. This represents?A - discount ratesB - reserved requirementsC - selective credit controlsD - open market operations.