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3 years ago

Which percent is equivalent to the fraction 7/50 ?

Mathematics

2 answers:

miskamm [114]3 years ago

7 0

Answer:

7/50 = 14%

Step-by-step explanation:

Step 1: Top dawg in the house (the numerator becomes the dividend)

So instead of putting 50÷7 into the calculator, you would do 7÷50, which equals 0.14.

Step 2: Turn your decimal to a fraction.

Your decimal is 0.14. The last number of this decimal is in the HUNDREDTHS place. Therefore, you should MULTIPLY BY 100, or MOVE YOUR decimal two places to the RIGHT, which is 14.

All in all, 7/50 = 14%

taurus [48]3 years ago

5 0

14% because 7/50 divided by 100 equals 14.

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6 high school seniors choose from among 20 quotes for their yearbook. What is the probability that at least 2 of them choose the

shusha [124]

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem, we have that:

There are 6 students, hence n = 6.

There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.

The probability of one quote being chosen at least two times is given by:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351$

$P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321$

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328$

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

More can be learned about the binomial distribution at brainly.com/question/24863377

6 0

2 years ago

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denis-greek [22]

Answer:

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Step-by-step explanation:

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2 years ago

How do I factor 16x^2 and -49y^2??

jeyben [28]

(4x-7y)(4x+7y)

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-7y times 7y= -49y^2

8 0

3 years ago

The aquarium has 3 more yellow fish than green fish. 60 percent of the fish are yellow. How many green fish are in the aquarium?

cupoosta [38]

The aquarium has 3 more yellow fish than green fish.

60% of the fish are yellow.

To find:

How many green fish are in the aquarium?

Step-by-step explanation:

Let there be x number of fish in the aquarium.

60% of the fish are yellow.

So there are 60x/100 = 3x/5 yellow fish.

Then (100 - 60)% = 40% fish are green.

So there are 40x/100 = 2x/5 green fish.

Given that, there are 3 more yellow fish than green fish

⇒ 3x/5 = 2x/5 + 3

⇒ 3x/5 = (2x + 15)/5

⇒ 3x = 2x + 15

⇒ 3x - 2x = 15

⇒ x = 15

Now, 2x/5 = 2/5 × 15 = 2 × 4 = 6

Answer:

There are 6 green fish in the aquarium.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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