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Volgvan
17 days ago
13

The typical college freshman spends an average of μ=150 minutes per day, with a standard deviation of σ=50 minutes, on social me

dia. The distribution of time on social media is known to be Normal. The proportion of students spending at least 2 hours on social media equals:
Mathematics
1 answer:
PIT_PIT [12.4K]17 days ago
4 0
The fraction of students who dedicate at least 2 hours to social media is 0.7257.
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There are 10 boys and 12 girls in the tennis club. The coach wants to select two players to practice first. Which statements are
Svet_ta [12734]
Given there are 22 participants total, the possible pairs chosen for the initial practice session are calculated as
22C2 = 231
. The probability of selecting one individual from each gender can be determined using the following calculation:
(10C1)x(12C1) / 231 = 40/77
. Approximately 52% represents the probability in percentage form, so the correct answer is the first option. 
6 0
29 days ago
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8) Write an absolute value equation that has 5 and 15 as its solutions?
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(I’ll use brackets to represent my absolute value bars, haha) [5 x -3] [-15] = 15.
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14 days ago
In Melanie's Styling Salon, the time to complete a simple haircut is normally distributed with a mean of 25 minutes and a standa
zzz [12365]

Answer:

b) falls between 18.4 and 31.6 minutes.

Step-by-step explanation:

Problems involving normally distributed samples can be tackled using the z-score formula.

In any set with a mean \mu and standard deviation \sigma, the z-score for a measurement X is calculated as follows:

Z = \frac{X - \mu}{\sigma}

The Z-score indicates how many standard deviations an observation diverges from the mean. After determining the Z-score, consulting the z-score table provides the associated p-value. This p-value represents the likelihood of observing a measure less than X, i.e., the percentile of X. Subtracting the p-value from 1 yields the probability of observing a measure greater than X.

In this question, we find that:

\mu = 25, \sigma = 4

To cover the Middle 90%

The lower limit is determined as the value of X when Z corresponds to a p-value of 0.5 - 0.9/2 = 0.05.

The upper limit corresponds to the value of X when Z has a p-value of 0.5 + 0.9/2 = 0.95.

Lower limit:

X when Z = -1.645Z = \frac{X - \mu}{\sigma}

-1.645 = \frac{X - 25}{4}

X - 25 = -1.645*4

X = 18.42

Upper limit:

X when Z = 1.645

1.645 = \frac{X - 25}{4}

X - 25 = 1.645*4

X = 31.58

Thus, the correct assessment is:

b) between 18.4 and 31.6 minutes.

3 0
28 days ago
When Margo makes cheese ravioli, she uses both ricotta and mozzarella cheeses to make the filling. She often varies the proporti
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Answer:

cuando hables de raviolis de queso, dile a Martha que vaya al supermercado a comprar raviolis Chef Boyardee.

6 0
1 month ago
In American football, the playing field is 53.33 yards (yd) wide by 120 yards (yd) long. For a special game, the field staff wan
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Answer:

214

Step-by-step explanation:

The dimensions of the playing field are 53.33 yards wide and 120 yards long, requiring us to compute the area by multiplying 53.33 by 120 yards. This results in 6399.6. The thickness being applied is 1.2 millimeters. To find how many containers are needed, divide the area, 6399.6 by 1.2 which equals 5333. Finally, dividing that by 25 gallons gives us 213.32, so you need to buy 214 rounded.

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