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Jlenok [28]
3 years ago
5

Brent is making a playlist for an upcoming trip. The average length of a song is 3.53 minutes If the flight is about 120 minutes

, how many songs should be put on his playlist​
Mathematics
2 answers:
vlada-n [284]3 years ago
5 0

Answer:

34 songs

Step-by-step explanation:

120min/3.53 = 33.99

12345 [234]3 years ago
5 0

average length of a song = 3.53 minutes

time duration of flight = 120 minutes

no. of songs that should be put on his playlist

= 120/3.53

= 33.99....

= 34 ( approximately )

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Mnenie [13.5K]

<u>Supposing 60 out of 100 scores are passing scores</u>, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
  • The upper limit is 0.7.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of \frac{1+\alpha}{2}.

60 out of 100 scores are passing scores, hence n = 100, \pi = \frac{60}{100} = 0.6

95% confidence level

So \alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
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A similar problem is given at brainly.com/question/16807970

5 0
3 years ago
Active
Ber [7]

Answer:

The expressions for the payment made to Mary are,

(Monday) 90 = 15m + b

(Tuesday) 62 = 8m + b

where m and b are the fee per student and the base fee, respectively. Solving for m and b, the values are 4 and 30.

The equation that represents Mary's earning is

y = 4x + 30

For 20 students,

y = 4(20) + 30 = 110

For Lisa's earnings,

y = 8x + 15

Substituting 20,

y =8(20) + 15 = 175

Thus, Lisa would earn more than Mary by $65.

(Btw this is not my work, I got it from someone else on brainly and wanted to help lol)

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Answer:

x = ±5\sqrt{2}

Step-by-step explanation:

We have been given the quadratic equation;

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-x^{2}=-50

Multiplying both sides by -1 yields;

x^{2}=50

The final step is to obtain square roots on both sides;

\sqrt{x^{2} }=\sqrt{50}\\x=+/-\sqrt{50}

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