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Greeley [361]
3 years ago
11

a bag contains 14 red tiles, 20 blue tiles, and 16 green tiles, a tile is randomly drawn from the bag. if this is done 40 times

how many times do you expect to draw a blue tile
Mathematics
2 answers:
ololo11 [35]3 years ago
7 0
Total=14+20+16=50
P(blue)=20/50=2/5

so, answer=(2/5)*40=16
aniked [119]3 years ago
7 0
There are total 16+14=30 tiles which are not blue.
So, we can get maximum 30 tiles of different colours(not blue) in our first 30 chances then we must get at least 10 blue marbles in our next 10chances.
Therefore, we expect at least 10blue marbles if we drawn marbles randomly for 40 times from the bag.

I hope it will help you.
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Someone helppp! This is due the day after tomorrow!!
PilotLPTM [1.2K]

Step-by-step explanation:

Given

(2x + 3 )² - (2x + 3) (x - 5)

= 4x² + 6x + 9 - ( 2x (x - 5) + 3(x - 5 ))

= 4x² + 6x + 9 - ( 2x² - 10x + 3x - 15 )

= 4x² + 6x + 9 - 2x² + 10x - 3x + 15

= 2x² + 13x + 24

Hope it will help :)

6 0
3 years ago
Read 2 more answers
Robert is planning to spend the day baking c batches of cookies and b batches of
Usimov [2.4K]

Answer:12c + 30b ≤ 360

Step-by-step explanation:

Your math problem requires us to convert the word problem into math before we can solve the math. So let's try to do that first.

First, let's make a math equation to represent the amount of time.

The amount of time to bake "c" batches of cookies = (# of minutes per batch) x (# of batches) = 12 x c = 12c

Similarly for the amount of time to bake "b" batches of brownies = (# of minutes per batch) x (# of batches) = 30 x b = 30b

This is going to look like a format of:

(amount of time to bake cookies) + (amount of time to bake brownies) ≤ (total amount of time)

This person wants the (total amount of time) to be "at most 6 hours" but we can't just put "6" as our number because the other amounts of time are in "minutes".

6 hours * 60 minutes in an hour = 360 minutes

So our first equation becomes:

12c + 30b ≤ 360

6 0
2 years ago
Write an equation of a circle with the given center and radius center (-7,-6) and radius 2
Gala2k [10]
(x-h)^2 + (y-k)^2 = r^2
Where h,k is the center and r is the radius.
(x - -7)^2 + (y - -6)^2 = 2^2
(x+7)^2 + (y+6)^2 = 4
Letter A
8 0
3 years ago
Score on last try: 0 of 8 pts. See Details for more.
Agata [3.3K]

Answer:

there are 4 aces in the deck of 52 cards

so the probability to draw one ace is 4/52

if we draw an ace, there are 3 left in 51 cards.

so the next probability will be 3/51

we need to multiply probabilities to know how likely it is that this happens in a row.

for three in a row that's

\frac{4}{52}  \times  \frac{3}{51} \times  \frac{2}{50}

rewritten its:

\frac{4 \times 3 \times 2}{52 \times 51 \times 50}

we'll see soon why this is easier to write.

we also have to account for the two cards that are no aces. it doesn't matter if the first two cards are no aces, the last two, or any rodney. just the ammount of non-aces is important.

there are 48 non-aces in the deck.

so the probability to draw one of them in the first step is 48/52.

wich each draw the number of cards left in the deck decreases by 1. and depending what we draw, that ammount also decreases.

we draw 5 cards, so we know what the denominators will be. the numerator will be the rest-ammounts of each event, like shown in the complicated fraction above.

let's write it most easily as this:

\frac{4 \times 3 \times 2 \times 48 \times 47}{52 \times 51 \times 50 \times 49 \times 48}

this scenario looks like it only describes 3 aces, then two non-aces, but the order of multiplication isn't important. you could put the 48 and 47 to the left, same solution. so this expression represents all permutations of "3 aces when drawing 5 cards", including the two cards that are not aces.

that's why writing it as one convoluted fraction is indeed better and simpler than many fraction multiplied in row.

time to grap a calculator.

our probability for the event is

54144 possible valid outcomes out of

311875200 possible combinations.

luckily the calculator can reduce that to a simpler form of

\frac{47}{270725}

(reduced with 2^6*3^, big number, but tried it out by hand stacking up prime factors until hittinga prime in the numerator)

written as a readable kind of number you probably know and like it's

0.0001736079047

in decimal form. now rounded as asked for:

0.00017

(as percentage: 0.017%)

hope the way how we got here is somewhat clear. feel free to ask any questions.

kind regards

Alex

6 0
3 years ago
Is 28.435 less than 28.431?
stealth61 [152]

Answer:

no

Step-by-step explanation:

think about it is 435 less than 431

3 0
3 years ago
Read 2 more answers
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