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Tcecarenko [31]
3 years ago
9

Write down a fraction whose value lies between 3 and 4; whose denominator is a multiple of 5; whose numerator is a multiple of 1

1, and whose denominator is less than 17. How many can you find? This may look hard, so instead, try the following sequence derived from it: Write down a fraction whose value lies between 3 and 4. Write down a fraction whose value lies between 3 and 4 and whose denominator is a multiple of 5; find a way to write down all such fractions.
Mathematics
1 answer:
slamgirl [31]3 years ago
6 0

Answer:

  33/10 and 55/15

Step-by-step explanation:

Possible denominators that are multiples of 5 less than 17 are 5, 10, 15.

Corresponding numerator ranges are [15, 20], [30, 40], and [45, 60]. In only two of these ranges are there any multiples of 11.

  33 in [30, 40]

  55 in [45, 60]

So, there are only two possible fractions meeting your requirement:

  33/10 and 55/15

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a fair coin is flipped 10 times. what is the probability of getting the same number of heads and tails
Dafna11 [192]

If you flip a coin one time, the probability to get a Head is

p = 1/2

The probability of not getting a head in a single toss is :

q = 1 - 1/2 = 1/2

Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.

Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :

P(X = 5) = \frac{10!}{5!*5!} *(\frac{1}{2})^{5} *(\frac{1}{2})^{5}≈ 0.246

So the probability of that is 24,6 %

Good Luck

3 0
2 years ago
Explain one relationship between capacity and fluid ounces
vagabundo [1.1K]
Capacity is the maximum amount that something can contain
fluid ounces is how much something contains in ounces.
6 0
3 years ago
What are the solutions to the equation (x-6)(x+8)=0?
Zepler [3.9K]

Answer:

x = 6, -8

Step-by-step explanation:

If (x - 6)(x + 8) = 0, that would imply that either (x - 6) or (x + 8) would equal zero. Using this, we can find that solving the two equations:

x - 6 = 0

and

x + 8 = 0

would yield the two solutions to the equation.

x - 6 = 0

Add 6 to both sides of the equation.

x = 6

So one of the solutions would be x = 6.

x + 8 = 0

Subtract 8 from both sides of the equation.

x = -8

So the other solution would be x = -8.

The two solutions are x = 6 and x = -8.

I hope you find my answer and explanation to be helpful. Happy studying.

6 0
3 years ago
A running store offers a 15% discount on
Rudik [331]

Answer:

The cost of each pair of shoes before the discount=$67.65

Step-by-step explanation:

Step 1

Use the expression below to determine original cost of the 2 pairs of shoes as follows;

A=O-R

where;

A=total bill after discount

O=original cost of 2 pairs of shoe

R=discount amount

In our case;

A=$110.50

O=unknown=x

R=15% of O=(15/100)×x=0.15 x

replacing;

115=x-0.15 x

115=0.85 x

x=115/0.85

x=135.294

Original cost of the 2 pairs of shoes=$135.294

Original cost of a pair of shoes=135.294/2=$67.65

The cost of each pair of shoes before the discount=$67.65

8 0
3 years ago
4 minutes 45 seconds equal how many seconds
Vlada [557]
240 sec + 45 sec= 285 sec
4 0
3 years ago
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