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3 years ago

A fraction as a mixed number 20 / 10

Mathematics

1 answer:

ladessa [460]3 years ago

8 0

Answer:

Step-by-step explanation:

To find the mixed number you divide the numerator (top number) by the denominator (bottom number), which would be 20 divided by 10. There is no remainder so your answer is simply 2.

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A customer at Marty’s Fruit Stand picks a sample of 3 oranges at random from a crate containing 60 oranges, of which 4 are rotte

pychu [463]

Answer:

340 ways

Step-by-step explanation:

Given:

Total number of oranges = 60

Number of rotten oranges = 4

Number of oranges picked = 3

Now, number of good oranges = Total number - Rotten oranges

= 60 - 4 = 56

Now, we need to pick at least two rotten oranges.

So, the possible outcomes can be as follows:

2 rotten oranges + 1 good orange = 3 oranges
3 rotten oranges + 0 good orange = 3 oranges

Now, number of ways of picking 'r' distinct objects from a total of 'n' objects is given as:

$^nCr=\frac{n!}{r!(n-r)!}$

Now, picking 2 rotten oranges from a total of 4 rotten oranges is:

$^4C_2=\frac{4!}{2!2!}=\frac{4\times 3\times 2}{4}=6$

Similarly, picking 3 rotten oranges from a total of 4 rotten oranges is:

$^4C_3 =\frac{4!}{3!\times1!}=\frac{4\times 3!}{3!}=4$

Now, picking 1 good orange from a total of 56 good oranges is:

$^{56}C_1=56$

Picking 0 good oranges means picking no good oranges.

Therefore, the total number of ways of picking at least 2 rotten oranges is the sum of the above two possibilities and is given as:

At least 2 rotten out of 3 picked = (2 rotten and 1 good) or 3 rotten

= 6 × 56 + 4

= 336 + 4 = 340 ways

Therefore, there are 340 ways of picking at least 2 rotten oranges when 3 oranges are picked from a total of 60 oranges.

8 0

4 years ago

A given rectangle is twice as wide as it is tall. It has a perimeter of 138 inches. How many inches tall is it? How many inches

oee [108]

Length = x
width = 2x
perimeter = 138in

in order to find perimeter you add length and width twice, so;

2(2x + x) = 138
2(3x) = 138
6x = 138
x = 23

since x = 23;

the length is 23in and the width is 46in

6 0

3 years ago

Read 2 more answers

When James spent 10 minutes doing push-ups and 50 minutes swimming, his fitness app said that he burned 447 calories. Similarly,

lilavasa [31]

Answer:

jemarde varmanilo cardinear verden wha

verdelamar jemar karne la var

Step-by-step explanation:

5 0

3 years ago

Solve. 3.5d + 8.25 = 3 + 5.25d The solution is d = ____