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4 years ago

A Disc had 1 1/4 hours of music if each song is 1/12 of an hour long how many songs are on the disc?

Mathematics

2 answers:

Leya [2.2K]4 years ago

5 0

1 1/4=15/12

There is 15 1 1/12 in 15/12

There is 15songs on the disc

Blababa [14]4 years ago

5 0

1/12 of an hour is 5 minutes. So if there are a total of 1 1/4 hours of music (1/4 hour=15 minutes) there is a total of 75minutes of music. And 75/5=15 so there are 15 songs on one disc!

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Consider the probability that greater than 90 out of 149 software users will not call technical support. Assume the probability

Artemon [7]

Answer:

0.1220

Step-by-step explanation:

You want the probability that greater than 90 out of 149 software users will not call tech support, given that the probability a given user will not call is 56%. You want the value using the normal approximation to the binomial distribution.

<h3>Normal approximation</h3>

For a sample size of n, and probability p of "success", the normal approximation to the binomial distribution can be used if ...

min(pn, (1-p)n) > 5

Here, that is ...

min(0.56·149, 0.44·149) > 5

65.6 > 5 . . . . . . . . true, the normal approximation is appropriate

Then the parameters of the normal distribution are ...

µ = pn = 0.56·149 = 83.44

σ = √((1-p)µ) = √(0.44·83.44) ≈ 6.0592

<h3>Continuity correction factor</h3>

The probability that X = N will occur can be considered to be ...

P(N -0.5 < X < N +0.5)

Then the probability that X > N will be modeled using the normal distribution as ...

P(X > N +0.5)

For this problem, we want ...

P(X > 90.5) . . . . using the normal distribution with µ = 83.44, σ = 6.0592

The attached calculator shows that value to be ...

P(>90) ≈ 0.1220 . . . . . . rounded to 4 decimal places

<em>Additional comment</em>

A probability calculator says the actual binomial distribution result for this problem is 0.1217.

7 0

1 year ago

Find the highest common factor of 14(3x+1)^ and 7(3x+1)

ddd [48]

Answer:

The highest common factor is 7(3x+1)

Step-by-step explanation:

Here, we want to find the highest common factor of both expressions

As we can see, the highest common factor of 7 and 14 is 7

Now, we have the second expression which is (3x+1)

No matter what the first expression is raised to, it still stands that the highest common factor we shall have there is 3x+ 1 as concerns the term

inside the bracket

Thus, the highest common factor of both terms is 7(3x + 2)

5 0

3 years ago

PLEASE HELP. WILL MARK BRAINLIEST.

Alina [70]

Answer:

y = x² + 6x + 8

Step-by-step explanation:

The zeros ( x- intercepts ) of the graph are x = - 4 and x = - 2, thus

the factors are (x + 4) and (x + 2) and the function is the product of the factors.

y = a(x + 4)(x + 2) ← a is a multiplier

To find a substitute (0, 8 ) the y- intercept into the equation

8 = a(0 + 4)(0 + 2) = a(4)(2) = 8a ( divide both sides by 8 )

a = 1, thus

y = (x + 4)(x + 2) ← expand using FOIL

= x² + 6x + 8

6 0

3 years ago

The average number of earthquakes that occur in Los Angeles over one month is 36. Assume the standard deviation is 3.6. if a ran

Ghella [55]

Answer: 0.9927

Step-by-step explanation:

We assume that the number of earthquakes that occur in Los Angeles follows normal distribution.

As per given , we have

$\mu=36\\\\ \sigma= 3.6$

Sample size : n= 35

Let $\overline{x}$ be the sample mean.

Now ,

$P(34$

Hence, the probability that the mean of the sample is between 34 and 37.5. is 0.9927 .

4 0

3 years ago

PLEASE HELP ASAP<br> Finding angles!!

vagabundo [1.1K]

Answer:

Angle 1: 115

Angle 2: 65

Angle 3: 115

Angle 4: 65

Angle 5: 115

Angle 6: 65

Angle 7: 115

Step-by-step explanation:

Find the value of angle 2 by applying the vertical angles theorem (65)

Find the value of angle 1 by applying the supplementary angles theorem from the original angle (180 - 65 = 115)

Find the value of angle 3 by applying the vertical angles theorem from angle 1 (115)

Angles 4, 5, 6, and 7 are on a line parallel to the orginal line, cut by the same transversal, so they have the same values, according to the same side interior/exterior angles theorems.

4 0

3 years ago