Each of 5 boys randomly chooses a watch from 12 different styles. What is the probability that at least 2 boys choose the same type of watch?

choices
≈ 0.3819
≈ 0.5387
≈ 0.7387
≈ 0.6181

Answers

Answer 1

Answer:       ≈ 0.6181

Step-by-step explanation:

Each Of 5 Boys Randomly Chooses A Watch From 12 Different Styles. What Is The Probability That At Least
Answer 2

The probability that at least 2 boys choose the same type of watch is 0.6181.

What is Probability?

Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.

Here, the total number of combinations of styles for 5 boys

   12 X 12 X 12 X 12 X 12 = 12⁵

the total ways that each boy have different styles

   12 X 11 X 10 X 9 X 8

P(None of the boys have same style) = (12 X 11 X 10 X 9 X 8) / 12⁵

                                                                = 0.3819

P(at least 2 boys have same style) = 1 - P(None of the boys have same style)

                                                         = 1 - 0.3819

                                                         = 0.6181

Thus, the probability that at least 2 boys choose the same type of watch is 0.6181.

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Related Questions

Write the place value and value of each digit of the decimals 6905.327 also write its name and expanded form

Answers

Answer:

6000.000 + 900.000 + 0 + 5 + 3/10 + 2/100 + 7/1000

six thousand nine hundred and five ones point(.) three tenths two hundredths and seven thousandths

Step-by-step explanation:

right!!!

Please help if you want brianleist!!- NO LINkS child..
Ty

Answers

Answer:

D :)))

Step-by-step explanation:

Can someone please answer this! I am very confused.

Answers

There is nothing to answer, the screen is blank. Sorry!

Please find and explain the answer to this problem(algebra 2)

Answers

Answer:

you need to add the problem. or at least a photo of it.

Answer:

u need to write or add a pic of the question

Step-by-step explanation:

giving 100 pts/ brainliest!! please help this is due in 20 minutes


Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds. Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.
What is the system that models this situation?
Which of the following is a solution to the system: 2 lb peanuts and 3 lb mixture; 2.5 lb peanuts and 2.5 lb mixture; 4 lb peanuts and 1 lb mixture? Show your work.

Answers

Answer:

p + m = 5, p + 0.2m = 0.6(5)2.5 lb peanuts; 2.5 lb almond mix

Step-by-step explanation:

You have peanuts and an 80-20 almond-peanut mix, and you want to know how many pound of each are needed for 5 lb of a 60% peanut mix.

System of equations

The system of equations relating the pounds of peanuts (p) and the pounds of almond mix (m) will describe the total mixture weight, and the weight of the peanuts.

  p + m = 5 . . . . . . total mixture weight is 5 lb

  p + 0.20m = 0.60(5) . . . . . weight of peanuts in the 60% peanut mix

Solution

We can subtract the second equation from the first to eliminate the variable p:

  (p +m) -(p +.2m) = (5) -(.6)(5)

  0.8m = 0.4(5) . . . simplify

  m = 2.5 . . . . . . . . divide by 0.8

  p = 5 -m = 2.5

The solution to the system is 2.5 lb peanuts and 2.5 lb mixture.

Mr. Petrov was trying to choose between two different plans for dollhouses for his daughter.

Both dollhouses have a rectangular prism base with a length of 6 inches, width of 6 inches, and height of 5 inches. Dollhouse 1 has a triangular prism top. The triangular base has a base of 6 inches and height of 4 inches. The prism has a height of 6 inches. Dollhouse 2 has a square pyramid top with a base of 6 inches by 6 inches and height of 4 inches.

Which statements are true about the dollhouses? Select three options.
The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4).
The space inside dollhouse 1 can be found using the equation V = 6 (6) (5) + one-third (6) (6) (4).
The space inside dollhouse 2 can be found using the equation V = 6 (6) (5) + one-half (6) (6) (4).
The space inside dollhouse 2 can be found using the equation V = 6 (6) (5) + one-third (6) (6) (4).
The space inside dollhouse 1 is 24 inches cubed greater than the space inside dollhouse 2.

Answers

Answer:

Step-by-step explanation:

A B D

Answer:

Its A,B,D

i got them right on the quiz :)))

Nathan cut an isosceles triangle from felt to
make a spirit banner. Two sides of his banne
had the following measures: 15 inches and
7 inches. Which could be the measure of the
third side of Nathan's banner?
A 20 inches
B 15 inches
C 10 inches
7 inches

Answers

Answer:

B) 15

Step-by-step explanation:

only options are 15 or 7 inches because the problem mentioned the triangle is isosceles (they have two equal sides)

we can eliminate 7 because of the triangle inequality theorem

if two sides of a triangle are 7 then their sum is only 14 and it would need to be greater than the third side of 15

A because it can’t be B and it Can’t be C so my answer is A

anyone know the answer? its algrebra
Does the equation represent an exponential function?

y = 4 • 5x

Yes
No

Answers

Answer:

yes is rhe anwers that was that i put

Find the surface of the prism.

Answers

Answer:

520 yd^2

Step-by-step explanation:

The prism is a rectangular prism

2 * (14 * 5) + (5 * 10) + (14 * 10)= 520

Answer: 520 yards squared

Step-by-step explanation: The surface area is basically the area on every surface. So it’s (14x10)x2 + (14x5)x2 = 520 yards squared. Hope it helped! :)

Explain how the quotient was determined.

Answers

Because it started with one at the end and the other numbers didn’t matter because of that because the eight was small so you are multiplying by one but anything by one will always be one

h(x)=x 2 −1h, left parenthesis, x, right parenthesis, equals, x, squared, minus, 1 Over which interval does hhh have a negative average rate of change?

Answers

The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
Given expression,
h(x) = x² - 1

Since the above expression is of parabola, which has a decreasing curve from (-∞, o), simultaneously the function shows the negative rate of change until the function is decreasing, So the required interval for which the function shows the negative rate of change is (-∞, 0).

Thus, The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.

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find Angles in isosceles triangles

Answers

Step-by-step explanation:

[tex]\sf \hookrightarrow \: x + x + 88 = 180 \\ \sf \hookrightarrow \: 2x +88 = 180 \\ \sf \hookrightarrow \: 2x = 180 - 88 \\ \sf \hookrightarrow \: 2x = 92 \\ \sf \hookrightarrow \: x = \frac{92}{2} \\ \sf \hookrightarrow \: x = 46[/tex]

Answer:

46 degrees

Step-by-step explanation:

Sum of interior angles of a triangle is 180,

x + x + 88 = 180

2x + 88 = 180

2x = 180 - 88

2x = 92

x = 92 / 2

x = 46 degrees

Please help fast
a rock is thrown off a bridge 40 feet above a river at an initial velocity of 96 feet per second. The height h, in feet, of the rock t seconds after it was thrown can be modeled by the function h(t)=-16t^2 +96t+40. Find the height of rock 4 seconds after it was thrown.

Answers

The height of rock 4 seconds after it was thrown is 168 ft.

What is speed?

Speed is measured as distance moved over time.

Speed = Distance/ Time.

Here, given that,

we have

a rock is thrown off a bridge 40 feet above a river at an initial velocity of 96 feet per second.

The height h, in feet, of the rock

t seconds after it was thrown can be modeled by the function

h(t)=-16t^2 +96t+40.

where

h -----> is the height in feet of the rock

t -----> the time in seconds

For , t=4, we get,

substitute the value of t in the function and find the value of h

h(4)=-16×4^2 +96×4+40.

So, h= 168

Hence, the height of rock 4 seconds after it was thrown is 168 ft.

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PLEASE HELP!! i’ll mark you brainliest please !

Answers

it’s c i think because if you do the math

Factor.
2x² - 5xy - 3y^2

Answers

Answer:

2x² - 5xy - 3y²= (2x+y)(x-3y)

can i have brainliest please

If 25% of a number is 20 and 60% of the same number is 48, find 85% of that number

Answers

Answer:

68

Step-by-step explanation:

25% of a number is 20, where the number is 80 because 25% times 4 is 100% and 20 times 4 is 80.

We can check by doing 60% of 80 to see if it is 48. Instead of 60%, we can do 10% of 80, which is 8. Since we divided by 6, we multiply 8 by 6 which is 48.

Since we know 80 is the number, we have to find 85% of 80. First, let's find 5% of 80, which is 4 since 4 x 20 is 80 and 5% x 20 is 100%. Now, 85 divided by 5 is 17, let's multiply 17 by 4 to get 85% of 80. 17 x 4 is 68 which is 85% of 80.

A bedroom (14 ft by 12 ft) and hallway (9 ft by 3 ft) are getting new wood flooring. Wood flooring is priced at $6.00 per square foot. How much will it cost to add the wood flooring? It will cost $for the flooring.

Answers

Answer:

about 20 feet

Step-by-step explanation:

Answer:

$1170

Step-by-step explanation:

•35 POINTS• don’t explain.

SSS
SAS
ASA
SAA
HL

Answers

Answer:   HL

Reason:

The tickmarks tell us that the pair of hypotenuses are congruent.

The shared horizontal sides at the bottom are the pair of congruent legs of the right triangles. Therefore, we can use the hypotenuse leg (HL) theorem. This theorem only works for right triangles.

a) What is the size of angle ABC? b) Use your answer to part a) to work out the size of reflex angle CBD. Give your answers to the nearest degree. ​

Answers

Answer:

a) 110

b) 250

Step-by-step explanation:

Read the top row of numbers for a.  We are starting at zero and going to 110

Reflex is when two angles add up to 360

360 - 110 = 250

I need help, please
and can someone explain so I can stop posting so many of these?

Answers

it's infinitely many bc the equations have the same line

Answer:

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

Here a1, b1, c1, a2, b2, c2 are all real numbers.

Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0

Step-by-step explanation:

How many solutions does the following system have?

y = -2x – 4

y = 3x + 3

Solution:

Given y = -2x – 4

y = 3x + 3

Rewriting to the general form

-2x – y – 4 = 0

3x – y + 3 = 0

Comparing the coefficients,

(a1/a2) = -⅔

(b1/b2) = -1/-1 = 1

(a1/a2) ≠ (b1/b2)

Hence, this system of equations will have only one

A circular flower garden has a diameter of 16 feet. At the center of the garden is a circular pool 5 feet in diameter. If a coin is tossed at random into the garden, what is the probability that the coin will land in the pool.

Answers

Answer:

0.0977

Step-by-step explanation:

From the question,

A = πR²...................... Equation 1

Where A = Area of the circular flower garden, R = Radius of the circular flower garden.

Also,

A' = πr²..................... Equation 2

Where A' = Area of the circular pool, r = radius of the circular pool.

If a coin is tossed at random into the garden, the probability that the coin will land in the pool is

Pr = Area of the pool(A')/Area of the garden(A)

Pr = A'/A....................... Equation 3

Substituting equation 1 and 2 into equation 3

Pr = πr²/πR².

Pr = r²/R².................... Equatio 4

Given: R = 16/2 = 8 feet, r = 5/2 = 2.5 feet.

Substitute these values into equation 4

Pr = 2.5²/8²

Pr = 6.25/64

Pr = 0.0977

A circle has a circumference of 487
centimeters. Maricela recorded that the
circumference was 150.8 centimeters. Is
150.8 less than a greater than 48-?
Explain your answer:

Answers

Answer:

[tex]150.8 < 487[/tex]

Step-by-step explanation:

Given

[tex]C = 487cm[/tex] -- Actual measurement

[tex]M = 150.8[/tex] -- Recorded measurement

Required

Is M < C or M > C?

By comparing both values, we can see that:

[tex]M < C[/tex]

Because, on a number line from right to left; 150.8 comes before 487.

Hence:

[tex]150.8 < 487[/tex]

Easy Points !!✅

Casey’s starting balance was $922.36. He had $256.71 in deposits and $1,317.24 in debits. What is his ending balance ?

Answers

Since starting balance is $922.36 and she deposits $256.71 and then debits $1317.24. Ending Balance will be 922.36+256.71-1317.24=$138.17 in debt.

Deposits? What do you mean?

You make a deposit when you add money to your bank account. To build savings and earn interest, you should put money in a bank. For money you can withdraw at any time, a demand deposit is made. A time deposit is an investment for the long term. When you take out a loan, you might also pay a deposit as collateral.

Debit and credit mean what?

In double-entry bookkeeping, debits and credits are entries made in account ledgers to record value changes brought on by business transactions. A credit entry represents a value transfer from the account, whereas a debit entry represents a transfer of value to the account.

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HELP PLEASE!!!
b) What if you triple the diameter of a circle. What happens to the area?
Explain using examples.

Answers

The area will be equal 9 times more than the original circuit

A school administrator wants to know what proportion of teachers in their state have a Master's degree. The administrator takes an SRS of 100100100 teachers from a statewide database containing every teacher, and they find 555555 teachers in the sample have a Master's degree. The administrator wants to use this data to construct a one-sample zzz interval for a proportion.Which conditions for constructing this confidence interval did their sample meet

Answers

When we construct the confidence interval their sample must have some conditions which are as follows,

The data should be a random sample from the population of interest.np^ ≥ 10 n(1 - p^) ≥ 10Individual observations can be taken as independent.

Therefore , these are the conditions which the administrator should use to construct a one-sample z interval for a proportion.

When two ratios are equivalent to each other , they are said to be in a state called proportion. The proportion formula is used to see whether  the given ratios or fractions are equal or not . The proportion formula can be given as, The product of means is equal to the the product of extremes. This can be written as ad = bc.

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Is the Z or Y axis vertical?

Answers

Answer:

yes!

Step-by-step explanation:

the y axis vertical, and the x axis is horizontal!

Hexagon PQRSTU is shown on the coordinate grid. Hexagon PQRSTU is dilated with the origin

as the center of the dilation using the rule (x, y) → ( 3 x, 3 y) to create hexagon P'Q'R'S'T'U'.
2 2

Which statement is true?

A) Hexagon P'Q'R'S'T'U' is smaller than hexagon PQRSTU because the scale factor is a fraction.

B) Hexagon P'Q'R'S'T'U' is smaller than hexagon PQRSTU because the scale factor is greater than one.

C) Hexagon P'Q'R'S'T'U' is larger than hexagon PQRSTU because the scale factor is greater than one.

D) Hexagon P'Q'R'S'T'U' is larger than hexagon PQRSTU because the scale factor is less than one.

Answers

B is the best answer to go with

A population of 40 foxes in a wildlife preserve quadruples in size every 13 years. The function y=40•4x​, where x is the number of 13​-year ​periods, models the population growth. How many foxes will there be after 26 ​years?

Answers

Answer:

640

Step-by-step explanation:

y = 40(4)^x

x = 26/13 = 2

y = 40(4)^2

y = 40 (16)

y = 640

Which is a possible benefit of having a good credit history?

Answers

Answer:

When you have a good credit score, you're more likely to meet lending approval guidelines and borrow money when you need it most, explains McClary. This can help if you're ever in a pinch and need to open a credit card. You're more likely to qualify for a 0% APR card like the Citi Simplicity® Card.

Can y’all help me and tell me the answer?

Answers

100!

100 is your answer because there is exactly 100 percentages in the number 100. So 65% of that would be equal to 65.
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