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3 years ago

Determine 50% of 120

Mathematics

2 answers:

Lady bird [3.3K]3 years ago

6 0

Answer:

Step-by-step explanation:

The question is just asking what half of 120 is.

Think of it as multiplication.

What's half of 12? The answer is 6. --------------- (6 x 2 = 12)

Just had a zero to whatever your "half" is and multiply that by 2.

60 x 2 = 120

Just remember that 50% is half of 100%

25% = 1/4

50% = 2/4 OR 1/2

75% = 3/4

100% = 4/4 OR 1

mezya [45]3 years ago

3 0

Answer: 60

Step-by-step explanation: To find 50% of 120, first write 50% as a decimal by moving the decimal point two places to the left to get .50.

Next, the word <em>of</em> means multiply, so we have (.50)(120) which is 60.

This means that 50% of 120 is 60.

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Dahasolnce [82]

Answer: 10 centimeters

Step-by-step explanation:

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3 years ago

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3 years ago

On a multiple-choice test. Abby randomly guesses on all seven questions. Each question

Murrr4er [49]

Answer:

0.173 probability that she gets exactly three questions correct.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either she guesses the correct answer, or she does not. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

Seven questions:

This means that $n = 7$

Each question has four choices.

Abby guesses, which means that $p = \frac{1}[4} = 0.25$

Find the probability to the nearest thousandth, that Abby gets exactly three questions correct.

This is P(X = 3).

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

$P(X = 3) = C_{7,3}.(0.25)^{3}.(0.75)^{4} = 0.173$

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3 years ago

Original price is 150 new price 189 what is the percent

viktelen [127]

Answer:

The percent is 26%

Step-by-step explanation:

189 divided by 150 is 1.26 but since the original price is $150 the percent is 100% and 189 is 126% so the percent difference is 26%.

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3 years ago

How many different 4 digit even numbers can be written using 0,5,6,3,8,7?<br><br> help asap please!!

fiasKO [112]

Step-by-step explanation:

I guess that means the digits can not be repeated in such a number.

let's start with how many numbers in general can be created :

we have 6 basic digits, and we are pulling 4 of them for a number.

if the sequence of the pulled digits would not matter, it would be combinations C (6, 4).

but we are creating different numbers, so the sequence of the digits does matter. so, it is permutations P (6, 4).

P(6, 4) = 6!/(6-4)! = 6!/2! = 6×5×4×3 = 360

so. bauxite, we can create 360 different 4 digit numbers out of these 6 digits.

but not all of them are wanted.

for example, I assume we don't want the numbers that start with a 0, because they would normally count as 3-digit numbers.

if that assumption is correct, we need to find how many would start with a 0, and subtract those from the total number.

since we are handling all 6 digits in the same way, an equal number must start with 0, with 5, with 6, with 3, with 8 and with 7.

so, 1/6 of the total number start with 0 : 360×1/6 = 60.

that means the total number of 4-digit numbers out of these 6 digits that do not start with 0 is 360-60 = 300.

but we are still not finished : we only want even numbers. that means they end with 0, 6 or 8.

in the same way we considered the first position, we consider also the last position. we have an equal amount of numbers that end with the different digits.

and so, we have 1/6 of 300 for each ending digit.

we want the specified 3 digits as end digits, so we get

3×1/6 of the 300 = 1/2 × 300 = 150

so, we can write 150 different 4-digit even numbers out of these 6 digits.

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2 years ago