A girl’s name is ""Olivia Summer"" so her initials are OS. How many people need to be in an auditorium to ensure that at least 4 people in that room have the same pair of initials?

Answers

Answer 1

Answer:

2704

Step-by-step explanation:

My probability math is a bit rusty, but here's my reasoning.

Assuming that it is a 1/26 chance someone has the same first inital as you (which isn't true, some initials are more prominent than others) and a 1/26 chance that somone has the same last inital as you (also not true) then it would be a 1/26 x 1/26 chance to find someone with the same first and last inital as you

To find 4 people in a room with the same inital would be 26 x 26 x 4, or 2704. If we are counting Olivia as a fifth person, then it would be 26 x 26 x 5, or 3380.


Related Questions

Write an equation and solve. Round to the nearest hundredth where necessary.

16 is what percent of 32?


A.) 16 = n • 32; 55%

B.) 16 = n • 32; 50%

C.) 32 = 16 • n; 2%

D.) 32 = 16 • n; 42.5%

Answers

B. 16=n*32; 50%

Step by step explanation:

16 divide 32= 1/2

1/2*100= 50

what is the GCF of 6n^3, 18n^4, 36n^2

Answers

Answer:

6n^2 or 6n squared

Step-by-step explanation:

To find the greatest common factor we have to first find out all the factors for every other number.

Factors - Numbers you can multiply to find that number.

For example, we have 6n^3 what numbers can be multiplied to find that number?

PLEASE HELP ME I WILL GIVE YOU A BRAINILIST
A six sided die is rolled then a quadrilateral is chosen at random parallelogram ,rhombus, rectangle square and trapezoid. What is the probability of getting five quadrilateral with four congruent sides?

Answers

Answer:

1. Square

2. Rhombus

I hope I helped, if not please let me know and I will correct my answer.

Happy new year, good luck with your future studies.

Step-by-step explanation:

The probability of getting five quadrilateral with four congruent sides is,

⇒ 1 / 3

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A six sided die is rolled then a quadrilateral is chosen at random parallelogram ,rhombus, rectangle, square and trapezoid.

Hence, Total number of outcomes = 6

And, We know that;

Square and Rhombus have four congruent sides.

Hence, Number of possible outcomes = 2

Thus,  The probability of getting five quadrilateral with four congruent sides is,

⇒ 2 / 6

⇒ 1 / 3

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ3

if you had a score of 60% how many marks out of 150 did he obtain

Answers

Answer:

90

Step-by-step explanation:

60/100=x/150

180/300=2x/300

2x=180

x=90

Answer:

90 marks

Step-by-step explanation:

10 % of 150 is 15

multiply that by 6

60% of 150 is 90

Solve for X (This should be easy)

Answers

Answer:

17

Step-by-step explanation:

15^2+8^2=17^2

Select the correct answer from each drop-down menu.

1_____ × 10-3 is 2,000 times greater than 1.9 × 10-6. It is also
2_____ times greater than 9.5 × 10-4.

Answers

Answer:

Well, 1 is 3.8 The second one is 40,

Step-by-step explanation:

I believe 1 is 3.8, b/c 1.9*2 is 3.8, and the difference between exponents makes 3 zeros, so 2000.

The second one is 40, I confirmed this by doing .0001 to replicate 10 to the negative 4th power

By doing 9.5*.0001*40, I got the 0.038 from 1

Answer:

3.8 × 10-3 is 2,000 times greater than 1.9 × 10-6. It is also 4 times greater than 9.5 x 10-4.

Step-by-step explanation:

I started by doing 0.0000019 x 2000 and got 0.0038. If you move the decimal point 4 over you get 3.8.

EVERYONE ELSE IS WRONG!!! I got this correct on the test after retaking it, the second one is NOT 40 it is 4.

use the area of a triangle to write a formula for the area of a regular polygon and solve of the formula for height

Answers

Answer:

4

Step-by-step explanation:

3x + 1 = 10
Show work

Answers

Answer:

x = 3

Step-by-step explanation:

3x + 1 = 10

subtract 1 from both sides of the equation

3x + 1 - 1 = 10 - 1

3x = 10 - 1

3x = 9

divide both sides of the equation by 3

3x/3 = 9/3

x = 9/3

x = 3

Answer:

X=3

Step-by-step explanation:

3x+1=10 -> switch 1 3x = 10 - 1

3x = 9

9/3 = 3

What is the value of the expression below when x=4?

7x^2+8x−7

Answers

Answer:

137

Step-by-step explanation:

when x=4 , We substitute in the above equation

(7 x 4²)+(8x4)-7 = 112+25 =137

Answer : 137

Explanation: basically you plug 4 into the x spots so; 7(4)^2 + 8(4) -7

=7(16) + 8(4) -7

= 112 + 32 - 7

= 144 -7

= 137

1/6 x 8 + 2/3 x 9/8 =

Answers

Answer:

A

Step-by-step explanation:

do the multiplication first

Answer:

25 /12

Step-by-step explanation:

its the first one.

I did it on math_way

Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards, as shown in the diagram. What is the length of the diagonal, in yards, that Tanya runs?

Answers

Answer:

70 besarse you have to add

please help me i will mark brainliest!!! Rewrite as a simplified fraction 0.612 also the 12 is repeating

Answers

Answer:

= 68/111

Step-by-step explanation:

please help nobody's been answering this is urgent!!!

find the value of x and y

Answers

Answer:

Step-by-step explanation:

Set 5x+6 equal to 7x+4 and solve for x

x=1

11+y+6=180

y=180-17 which you know

Alexander invested $320 in an account paying an interest rate of 1.5% compounded annually. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 18 years?

Answers

Answer:

$406.40

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1.5%/100 = 0.015 per year.

Solving our equation:

A = 320(1 + (0.015 × 18)) = 406.4

A = $406.40

The number of gallons used to wash dishes varies directly with the number of loads. If it takes 65 gallons to wash 5 loads. How many gallons would be needed to wash 3 loads?

Answers

Answer:

13 gallons

Step-by-step explanation:

Answer:

39 gallons

Step-by-step explanation:

We would use a simple relation here

65 gallons washes 5 loads, then

65/5 gallons will wash one load

13 gallons washes one load

Now, to find 3 loads will be

13 * 3 gallons = 39 gallons

5. A broken rectangular-shaped window is
being replaced. It measures 24 inches by 187
inches. How many square inches of glass are
needed to repair the window? Draw a picture
to help.

Answers

Answer:

4488

Step-by-step explanation:

(24)(187)

What is the congruence theorem used to prove that the two triangles are congruent?

Answers

Answer:

ASA

Step-by-step explanation

They have a congruent angle at the top of the triangle and they both have a right angle at the bottom. They share the same side, so this is ASA.

One batch of cookies requires two eggs and two and a half cups of flour. How many cups of flour are needed to make three and a half batches of Cooke's?

Answers

Answer:

7 1/2

Step-by-step explanation:

What is the solution to the system of equations?
4x-5y=-2
X=15-4y

Answers

34. This is because you can just use a calculator

Meteorologists recorded a temperature change from 72˚F to 28˚F in one day. Write an equation that represents how many degrees the temperature fell.

Answers

Answer:

72-x=28 or 72-28=x

Step-by-step explanation:

I need help ASAP thanks xd​

Answers

It would be 125 you do 180 minus 55

simplify this expression 4^5/4^3

Answers

Answer:

It is 4 squared

Step-by-step explanation:

When dividing exponents it’s almost like subtraction so 4^5/4^3 is 4^2

The answer
4^5/4^3 = 4^2 =16

If M is the midpoint of AB, A(-3, 4) and M(-1, 2) find the coordinates
of B.

Answers

Answer:

B(1,0)

Step-by-step explanation:

The midpoint of (a,b) and (c,d) is ((a+c)/2,(c+d)/2)

Essentially, you just average the x and y values.

So, the average of -3 and b_x is -1.

The average of 4 and b_y is 2.

So x=1 and y=0

The first lap of an auto race is 2,500 meters. This is 10% of the total race distance. What is the total race distance?

Answers

Answer:

25,000

Step-by-step explanation:

.10(x) = 2,500

X = 2,500/(.10)

X=25,000

The length of the total race track is 25000 meters.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Let, 'x' be the total distance.

Therefore, From the given information 10% x is 2500 meters, This can be numerically expressed as,

(10/100)×x = 2500.

0.1x = 2500.

x = 25000.

Learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

please help im stuck on this question and its due for tomorrow please help!

rearrange y= 1/3x+1 to make x the subject

please help ill be very grateful tysm x

Answers

9514 1404 393

Answer:

  x = 3(y -1)

Step-by-step explanation:

In this, and any, "solve for ..." situation, you want to first take a look at where the variable of interest is in the equation, and what has been done to it.

Here, x is on the right side (only). It has these operations done to it:

multiplied by 1/31 added to the product

You solve for x by undoing these operations, in reverse order. As always, with any equation, you do the same thing to both sides of the equation.

__

First, we will undo "add 1". We do that by adding the opposite of 1.

  y -1 = 1/3x +1 -1 . . . . . -1 added (to both sides)

  y -1 = 1/3x . . . . . . . . . simplify

To undo the "multiply by 1/3", we can multiply by the "multiplicative inverse" (reciprocal) of 1/3. That is, we want to multiply by 3.

  3(y -1) = 3(1/3x) . . . . . multiply (both sides) by 3

  3(y -1) = x . . . . . . . . . simplify

We can leave it like this.

  x = 3(y -1)

Or, we can eliminate parentheses using the distributive property .

  x = 3y -3

These are completely equivalent equations with x as the subject.

For each percentage, find a matching statement to describe it. PLZ HELP!!!

Answers

1. 4
2. 3
3. 2
4. 5
5. 6
6. 1

Read the caption! And pls help me :))

Answers

Answer:

ASA

Step-by-step explanation:

If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of the other triangle, then the triangles are congruent.

The included side is the side between the vertices of the 2 triangles.

Here

∠ S = ∠ W ( 1 angle )

∠ R = ∠ X ( 2 angles )

RS = XW ( side between the 2 angles )

Thus the 2 triangles are congruent by the ASA postulate

A recipe for cake used 3 1/3 cups of flour. Audre has 12 1/12 cups of flour. What is the most number of cakes she can make?​

Answers

Answer:

3 cakes.

Step-by-step explanation:

12 1/2 divided by 3 1/3 gives you 3.625, then you round it off to 3.

Answer:

3 cakes hope this helps :)

16c^2+ 18c+5
Factor Each Trinomial.

Answers

Answer:

(2c +1)(8c+5)

Step-by-step explanation:

I got my answer based off how i understood the problem.

Keisha makes a large sandwich for a family picnic. She takes
1\2

of the sandwich to the picnic. At the picnic, her family eats
1/4
of the whole sandwich.

What fraction of the whole sandwich does Keisha bring back from the picnic?

I will brainliest Please

Answers

Answer:

3/4 becuae fractions if u have 1/2 which is like 50% and take 25% of it u have only 25% left

Other Questions
aaaaaaaaaaaaaaaaaaaaaaaaaa which principle if relative dating is the most important? why? WILL GIVE BRAINLEST!!!!!!!!In a well-exposed image, there should be some detail in the __________ . a. shadows b. shadows and highlights c. middle tones d. highlights Name the two basic phases of cell cycle and difference between the two.....answer me in 10 seconds then I'll mark his or her answer as brainlist It's my promise but the answer must be not copied from internet & also, difference must be of 3 to 5 points..... . What statement best expresses the main idea of this passage? A The Atlantis legend has many different versions. B Atlantis may have been destroyed by a giant volcano. C The Atlantis legend may be partially true. D Some modern Greeks are descendants of people who lived in Atlantis. on a timer and need the answer now so pls hurry will mark brainlist the answer was c What if you had to talk into a box which made it so your voice sounded no different than anyone else? Please help, Look at the picture Which phrase most contributes to this passage's sad and isolated tone?I will never forget that lonesome hill of stone that is herfinal bed, as it fades from my sight. I tread softly by myuncle, my hand in his. I walk with my head turned, watchingthat small hill as it fades from my sight. The soldiers makeus continue walking. My uncle talks to me, trying tocomfort me. I walk in loneliness."-Michael Rutledge, "Samuel's Memory What is A scientist that studies the hunting and gathering habits of the Cro-Magnons? . A falling rubber ball of mass 0.025 kg strikes the ground traveling straight down at 4.0 m/s. Find the magnitude of the impulse that the ground gives to the ball if a) the ground is soft and the ball stops dead b) the ground is hard and the ball bounces straight back at 2.0 m/s. Paola conducts an investigation to determine how temperature affects plant growth. Each plant started at the same height, received the same amount of water and was planted in the same type of soil Sherecorded her results every seven days for three weeks. Pls help a student walks 2 kilometers in 30 minutes. What is the students average speed in kilometers per hour? Arlene has raised $56 for her class field trip. This is $14more than three times the amount Adam has raised.Which equation could you use to find how much moneyAdam has raised? A rectangular box has length 20cm, width 6cm and height 4cm. find how many cubes of size 2cm that will fit into the box. If 5 is added to twice a number, the result is 29. Find the number. what is the correct squence for plant cell mitosis what happens when the heart doesn't pump blood effectively to the body? How would a person feel? Last month, a car dealership sold 80 cars. Of all the cars sold, 15% of them were red. How many cars that were sold were red? What best expresses the main idea of the passage?o Success is ultimately measured by accomplishments, not popularity.The more talented a person is, the more likely that person is to be criticized.O Paul Robeson's performances were liked by some people and disliked by others.O Paul Robeson was a talented man whose reputation was hurt by his political beliefs. PLS HELLLLLPPPP ASAPPPP!Interest = $45Principal = ?Interest rate = 3%Time = 2 years