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oee [108]
3 years ago
14

9.2.11

Mathematics
1 answer:
MrRa [10]3 years ago
6 0

Answer:

34/69

Step-by-step explanation:

2 are jelly-filled

5 are lemon-filled

17 are custard-filled

Total: 24

<em>First drawing:</em>

There are 24 donuts in total, 17 of which are custard filled.

p1(custard filled) = 17/24

Second drawing:

There are now a total of 23 donuts, 16 of which are custard filled.

p2(custard) = 16/23

The two drawings are independent events, so the overall probability is the product of the individual probabilities.

Overall probability of drawing two custard filled donuts:

p(2 custard filled) = p1 * p2 = 17/24 * 16/23 = 17/3 * 2/23 = 34/69

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Write the number below as a fraction in its simplest form 0.˙49˙9 (more clearer picture is attached here)
mars1129 [50]

Answer:

499/999

Step-by-step explanation:

The decimal number written is:

0.499...

Such that these 3 decimals are repeated as:

0.499499499...

Let's define this number as k

k = 0.499...

Let's multiply this number by 1000 (the same number of zeros as important decimals after the decimal point)

we get:

1000*k = (1000)*(0.499...) = 499.499...

Now we can subtract the original number k, so we get:

1000*k - k = 499.499... - 0.499...

In this way, we remove the part after the decimal point:

1000*k - k = 499.499... - 0.499...

(1000 - 1)*k = 499

999*k = 499

Now we can divide both sides by 999

(999*k)/999 = 499/999

k = 499/999

The fraction notation of our number is 499/999 (and this is the simplest form)

5 0
3 years ago
PLEASE HELP: A standard six-sided die is rolled.
amm1812

Answer in fraction form is 1/3

Answer in decimal form is 0.3333

Pick one answer only.

==========================================================

Explanation:

The sample space is the set of all possible outcomes. In this case, the outcomes consist of values between 1 and 6

S = sample space

S = {1,2,3,4,5,6}

There are 6 items here. Let B = 6.

We want to roll a number greater than 4, so the event space we're after is

E = {5,6}

which consists of 2 items. Let A = 2.

The probability we want is A/B = 2/6 = 1/3 = 0.3333

So if you go with the fraction option, then you'll type in 1/3

If you go with the decimal option, then you'll type in 0.3333

4 0
3 years ago
This is adding and subtracting rational expressions. i don’t know how to do this one
Sindrei [870]

Answer:

1

Step-by-step explanation:

1-0=1 totally trust me

5 0
3 years ago
The sum of 5 and twice a number.
snow_lady [41]

Answer:

5+x2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Name the different types of proofs you saw in this lesson. Give a description for each.
seraphim [82]

Answer:

?

Step-by-step explanation:

4 0
3 years ago
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