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nataly862011 [7]
2 years ago
14

A survey of students' favorite sports was taken from a random sample of

Mathematics
1 answer:
White raven [17]2 years ago
6 0

Answer:

129

Step-by-step explanation:

Considering the survey to be representative, you can simply multiply the share of students <em>p</em> preferring “Track & Field” with the whole school population at the same time to estimate the number of such students in the whole school.

First we need to find the relative share <em>p</em> of such answers in the study by dividing it by the sum of answers, assuming that the table is complete for that random sample:

<em>p</em> = 4/(8 + 5 + 4) = 4/17

Then for the whole school we get 550 <em>p</em> ≈ 129.4

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Answer:

1 23/30

Step-by-step explanation:

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2 years ago
Suppose that y varies directly with x, and y=24 when x=15.
soldier1979 [14.2K]

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A

x=0.625y

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Step-by-step explanation:

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What is the volume of the cone?
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3 years ago
The graph at the right shows this system of equations y=x-3 y=-3x+1 what is the solution. Explain how you can verify that it is
oksano4ka [1.4K]

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Step-by-step explanation:

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3 0
2 years ago
The attendance at baseball games at a certain stadium is normally distributed, with a mean of 30,000 and a standard deviation of
lakkis [162]

Answer:

a) 0.964

b) 0.500

c) 0.885

d) x \geq 32467.5

e) 0.997      

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 30000

Standard Deviation, σ = 1500

We are given that the distribution of attendance at stadium is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(attendance is greater than 27,300)

P(x > 27300)

P( x > 27300) = P( z > \displaystyle\frac{27300 - 30000}{1500}) = P(z > -1.8)

= 1 - P(z \leq -1.8)

Calculation the value from standard normal z table, we have,  

P(x > 27300) = 1 - 0.036 = 0.964 = 96.4\%

b) P(attendance greater than or equal to 30000)

P(x > 30000) = P(z > \displaystyle\frac{30000-30000}{1500}) = P(z \geq 0)\\\\P( z \geq 0) = 1 - P(z \leq 0)

Calculating the value from the standard normal table we have,

1 - 0.500 = 0.500 = 50\%

c) P(attendance between 27000 and 32000)

P(27000 \leq x \leq 32000) = P(\displaystyle\frac{27000 - 30000}{1500} \leq z \leq \displaystyle\frac{32000-30000}{1500}) = P(-2 \leq z \leq 1.33)\\\\= P(z \leq 1.33) - P(z < -2)\\= 0.908 - 0.023 = 0.885 = 88.5\%

P(27000 \leq x \leq 32000) = 88.5\%

e) P(attendance less than 33000)

P(x < 33000)

P( x < 33000) = P( z < \displaystyle\frac{33000 - 30000}{1500}) = P(z < 2)

Calculating the value from the standard normal table we have,

P(x < 33000)  = 0.997 = 99.7%

d) We have to find x such that:

P( X > x) = P( z > \displaystyle\frac{x - 30000}{1500}) = 0.95

Calculating the value from the standard normal table we have,

P(z = 1.645) = 0.95

Thus,

\displaystyle\frac{x - 30000}{1500} \geq 1.645\\\\x \geq 32467.5

The attendance should be greater than or equal to 32467.5 to be in the top 5% of all games.

6 0
3 years ago
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