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3 years ago

9

Danny selects a glass bottle from the shelf randomly without looking and then tosses the fair coin. What is the probability that

he will select a purple glass bottle and that the coin will land heads up?

1 answer:

Kryger [21]3 years ago

4 0

How many of each color bottle and how many colors

You might be interested in

Please help i will mark brainliest to correct answer

ankoles [38]

Answer:

18

Step-by-step explanation:

because 3x6 = 18

6 0

3 years ago

Read 2 more answers

a teacher and 10 students are to be seated along a bench in the bleachers at a basketball game. In how many ways can this be don

Veronika [31]

Wow !

OK. The line-up on the bench has two "zones" ...

-- One zone, consisting of exactly two people, the teacher and the difficult student.
   Their identities don't change, and their arrangement doesn't change.

-- The other zone, consisting of the other 9 students.
   They can line up in any possible way.

How many ways can you line up 9 students ?

The first one can be any one of 9.   For each of these . . .
The second one can be any one of the remaining 8. For each of these . . .
The third one can be any one of the remaining 7. For each of these . . .
The fourth one can be any one of the remaining 6. For each of these . . .
The fifth one can be any one of the remaining 5. For each of these . . .
The sixth one can be any one of the remaining 4. For each of these . . .
The seventh one can be any one of the remaining 3. For each of these . . .
The eighth one can be either of the remaining 2. For each of these . . .
The ninth one must be the only one remaining student.

   The total number of possible line-ups is

   (9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) = 9! = 362,880 .

But wait ! We're not done yet !

For each possible line-up, the teacher and the difficult student can sit

-- On the left end,
-- Between the 1st and 2nd students in the lineup,
-- Between the 2nd and 3rd students in the lineup,
-- Between the 3rd and 4th students in the lineup,
-- Between the 4th and 5th students in the lineup,
-- Between the 5th and 6th students in the lineup,
-- Between the 6th and 7th students in the lineup,
-- Between the 7th and 8th students in the lineup,
-- Between the 8th and 9th students in the lineup,
-- On the right end.

That's 10 different places to put the teacher and the difficult student,
in EACH possible line-up of the other 9 .

So the total total number of ways to do this is

   (362,880) x (10) = 3,628,800 ways.

If they sit a different way at every game, the class can see a bunch of games
without duplicating their seating arrangement !

4 0

3 years ago

1. Jack and Jill purchased a $125,000 house making a 20% down payment and paying the closing

kherson [118]

Answer:

The month payment amount is $897.589

Interest amount is $61,566

Step-by-step explanation:

Given as :

The price of the house = $125,000

The down payment amount for house = 20% of total price

i.e The down payment amount for house = 20% × $125,000

Or, The down payment amount for house = $\dfrac{20}{100}$ × $125,000

Or, The down payment amount for house = $25,000

Now, Balance amount = total price - down payment

Or, Balance amount = $125,000 - $25,000

Or, Balance amount = $100,000

So, The balance amount is bring finance

The finance principal amount = p = $100,000

The rate of interest applied = r = 3.25%

The time period of mortgage = t = 15 years = 15 × 12 = 180 months

Let The Amount of mortgage after 15 years = $A

<u>From Compound Interest method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, A = p × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, A = $100,000 × $(1+\dfrac{\textrm 3.25}{100})^{\textrm 15}$

Or, A = $100,000 × $(1.0325)^{15}$

Or, A = $100,000 × 1.61566

Or, A = $161,566

So,The Amount of mortgage after 15 years = $161,566

Interest applied = Amount - principal

Or, I = $161,566 - $100,000

∴ Interest = $61,566

<u>Again</u>

The month payment amount = $\dfrac{\textrm amount after 15 years}{number of months of mortgage}$

i.e The month payment amount = $\dfrac{161566}{180}$

Or, The month payment amount = $897.589

Hence The month payment amount is $897.589 and interest amount is $61,566 . Answer

6 0

3 years ago

What number is most likely going to be a number less than 7 when rolling a dice

stiv31 [10]

Answer:

Each is equally likely . The probability of rolling less than 7 is equal to the probability of rolling 1 or 2 or 3 or 4 or 5 or 6. That is 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6.

3 0

3 years ago

9,11,13,15,17,19 can someone help

scZoUnD [109]

Hey! you would first for 9 its a one step equation so you would divide the number without the variable(constant) by both sides you would get and answer by having the variable on one side of the equation sign and you have your answer. since it was multiplying you had to divide to cancel out the number next to the variable . If you need more help i recommend PhotoMath because it shows you how to do the problems step by step and shows you the answer! Thanks for asking for help

5 0

3 years ago