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s344n2d4d5 [400]
3 years ago
5

Item 5 Write 77.5% as a fraction or mixed number in simplest form.

Mathematics
1 answer:
jeyben [28]3 years ago
5 0

<span>77.5% can also be written as 77.5/100, but if you're the mathematical notation police, people don't like decimals on a fraction, sooo, an equivalent form is: </span>

<span>
 = (77.5)/(100) * (2/2)
= 155/200
= 31/40
= 0 31/40 </span>

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The three medals earned in the Olympics are the gold, silver, and bronze medals. In the 2014 Winter Olympics, the United States
marta [7]

Answer:

Let x be the number of silver medals.

As there were two more gold medals than silver ones, gold medals are x+2

We also know that the number of bronze medals was 4 less than the sum of gold and silver, so if there are x + 2 of gold and x of silver, there are x+x+2-4 of bronze.

Now, we can do an equation, as we know there were a total of 28 medals:

x + x + 2 + x + x + 2 - 4 = 28

And we isolate x:

4x = 28

x = 28/4 = 7

There were 7 silver medals, so there were 9 gold ones (7-2) and 12 of bronze (9+7-4).

4 0
3 years ago
Write the ratio as a ratio of whole numbers using fractional notation 15 hours to 40 hours simplified fraction
Contact [7]

Answer:

3/8

Step-by-step explanation:

Since it is 15/40 hours originally, what we need to do is just simplify this fraction.

The numerator and denominator are both divisible by 5.

3/8

8 0
4 years ago
is flipped ten times, and he is asked to predict in advance the outcome. Our individual gets seven out of ten correct. What is t
egoroff_w [7]

The required probability is 0.171.

What is probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We can find required Probability as shown:

From 10 coins we choose 7 he guessed correct with probability of each 1/2. For three remaining coins he failed to predict the outcomes of the flip with the probability of 1/2 for each. Similarly for 8,9 or 10 successive trials. Let X denote number of successive trials

P(X\geq 7)= \tbinom{10}{7}.\frac{1}{2^{10}}+\tbinom{10}{8}.\frac{1}{2^{10}} +\tbinom{10}{9}.\frac{1}{2^{10}}+\tbinom{10}{10}.\frac{1}{2^{10}}

=120.\frac{1}{2^{10}} +45.\frac{1}{2^{10}} +10.\frac{1}{2^{10}} +.\frac{1}{2^{10}}

=\frac{120+45+10+1}{2^{10}}

=\frac{176}{1024}

=0.171

Hence, the required probability is 0.171.

Learn more about Probability here:

brainly.com/question/6649771

#SPJ4

Given question is incomplete. This is complete question:

A man claims to have extrasensory perception. As a test, a fair coin is flipped 10 times and the man is asked to predict the outcome in advance. He gets 7 out of 10 correct. What is the probability that he would have done at least this well if he had no ESP?

3 0
2 years ago
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