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NARA [144]
3 years ago
15

The following table shows the data collected from a random sample of 100 middle school students on the number of hours they play

outdoor games every week: Weekly Duration of Outdoor Games Time (in hours) 0–2 3–5 6–8 9–11 Number of Students 30 62 8 0 There are 1,200 students in the school. Based on the sample proportion, how many students in the school would be expected to play outdoor games for at least three hours every week? 744 840 960 1,104
Mathematics
2 answers:
ra1l [238]3 years ago
8 0
I believe your answer is 840. Hope this helps!
n200080 [17]3 years ago
6 0

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

Weekly Duration of Outdoor Games      Number of students

                             0-2                                            30

                             3-5                                            62

                             6-8                                             8

                             9-11                                            0

---------------------------------------------------------------------------------------------------

                            Total                                         100

so, Probability of getting number of students for at least three hours every week is given by

\dfrac{62+8}{100}=\dfrac{70}{100}

Since the number of students = 1200

so, Expected number of students in the schools is given by

\dfrac{70}{100}\times 1200\\\\=840

Hence, Second option is correct.

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A hotel manager believes that 27% of the hotel rooms are booked. If the manager is correct, what is the probability that the pro
AlladinOne [14]

Answer:

The probability that the proportion of rooms booked in a sample of 423 rooms would differ from the population proportion by less than 6% is 0.9946.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 \mu_{\hat p}=p

The standard deviation of this sampling distribution of sample proportion is:

 \sigma_{\hat p}=\sqrt{\frac{\hat p(1-\hat p)}{n}}

The information provided here is:

<em>p</em> = 0.27

<em>n</em> = 423

As <em>n </em>= 423 > 30, the sampling distribution of sample proportion can be approximated by the Normal distribution.

The mean and standard deviation of the sampling distribution of sample proportion are:

\mu_{\hat p}=p=0.27\\\\\sigma_{\hat p}=\sqrt{\frac{\hat p(1-\hat p)}{n}}=\sqrt{\frac{0.27\times(1-0.27)}{423}}=0.0216

Compute the probability that the proportion of rooms booked in a sample of 423 rooms would differ from the population proportion by less than 6% as follows:

P(|\hat p-p|

                           =P(0.27-0.06

*Use a <em>z</em>-table.

Thus, the probability that the proportion of rooms booked in a sample of 423 rooms would differ from the population proportion by less than 6% is 0.9946.

6 0
3 years ago
2/5- square root of 3<br><br> simplify
mel-nik [20]

Answer:

  • (5 + √3)/11

Step-by-step explanation:

  • 2/(5 - √3) =
  • 2(5 + √3)/(5 - √3)(5 + √3) =      multiply by conjugate of the denominator
  • 2(5 + √3)/(25 - 3) =                    simplify
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8 0
3 years ago
Jared places five cards that are labeled 1 to 5 face down on the table and mixes them up.
ankoles [38]

Answer: 2/5

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
SOMEONE HELP ASAP!!
Anuta_ua [19.1K]

9514 1404 393

Answer:

  (c)  dZ/dt = 11/√544, so moving away at about 0.47 m/s

Step-by-step explanation:

The (x, y) coordinates of the car are related by the fact that they are on a circle centered at (12, 7) with a radius of 5. Then their rates of change are related by the derivative of the circle equation with respect to time.

  (x -12)^2 + (y -7)^2 = 25

  2(x -12)x' +2(y -7)y' = 0

  y' = -(x -12)/(y -7)x'

At the time and point of interest, we have ...

  y' = -(15 -12)/(11 -7)(1) = -3/4

__

The distance (z) to the observer is given by the Pythagorean theorem:

  z^2 = (x -0)^2 +(y -2)^2

and its rate of change with time is ...

  2z·z' = 2(x-0)x' +2(y -2)y'

The distance d at the point of interest is ...

  z = √((15 -0)^2 +(11 -2)^2) = √(225 +81) = √306 = 3√34

So, the rate of change of distance to the observer at the time and point of interest is ...

  z' = (x(x') +(y -2)y')/z

  z' = ((15)(1) +(11-2)(-3/4))/(3√34) = (33/4)/(3√34)

  z' = 11/√544 ≈ 0.47 . . . m/s

3 0
3 years ago
Combine like terms to create an equivalent expression.
Blababa [14]

Answer:

-1/5m+-4/5

Step-by-step explanation:

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