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Mandarinka [93]
3 years ago
6

Amanda composed 2 songs. The longer song is 126 seconds less than twice the length of the short song. The longer song lasts 286

seconds. How long is the shorter song.
Mathematics
1 answer:
xxMikexx [17]3 years ago
5 0

LongSong = 286s

LongSong = 2 * ShortSong - 126s

=>

2 * ShortSong - 126s = 286s

2 * ShortSong = 286s + 126s

2 * ShortSong = 412s

ShortSong = 206s

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$800 and paid 14% tax what was final bill
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Answer:

$912

Step-by-step explanation:

First, find the tax.

Multiply the tax rate by the price.

tax rate * price

The tax rate is 14% and the price is $800.

14% * 800

Convert 14% to a decimal. Divide 14 by 100 or move the decimal places 2 spaces to the left.

14/100=0.14

14.0–> 1.4 —> 0.14

0.14 * 800

Multiply

112

The tax is $112.

Now find the total bill.

Add the tax and the price.

tax + price

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$112 + $800

Add

$912

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3 years ago
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Three inches of snow fell on Monday. Five inches of snow fell on Tuesday. One-half inch of snow fell on Wednesday. How much snow
stiv31 [10]

Answer:

9 and a half

Step-by-step explanation:

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3 years ago
Which number is a factor of 12 but not a multiple of 3?
Delvig [45]
First list all the factors of 12;

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now let's see which ones are multiples of 3;

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4 years ago
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe
Naddik [55]

Answer:

P (X ≤ 4)

Step-by-step explanation:

The binomial probability formula can be used to find the probability of a binomial experiment for a specific number of successes.  It <em>does not</em> find the probability for a <em>range</em> of successes, as in this case.

 

The <em>range</em> "x≤4" means x = 0 <em>or</em> x = 1 <em>or </em>x = 2 <em>or</em> x = 3 <em>or</em> x = 4, so there are five different probability calculations to do.

 

To to find the total probability, we use the addition rule that states that the probabilities of different events can be added to find the probability for the entire set of events only if the events are <em>Mutually Exclusive</em>. The outcomes of a binomial experiment are mutually exclusive for any value of x between zero and n, as long as n and p don't change, so we're allowed to add the five calculated probabilities together to find the total probability.

 

The probability that x ≤ 4 can be written as P (X ≤ 4) or as P (X = 0 or X = 1 or X = 2 or X = 3 or X = 4) which means (because of the addition rule) that P(x ≤ 4) = P(x = 0) + P(x = 1) + P (x = 2) + P (x = 3) + P (x = 4)

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