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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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If the function m not-equals 0 has an inverse function, which statement must be true? B not-equals 0
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Answer:

Option a: m ≠ 0

Step-by-step explanation:

After a small online search, I've found that the complete question is:

If the function f(x) = m*x + b has an inverse function, which statement must be true?

a) m ≠ 0

b) m = 0

c) b ≠ 0

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Ok, if g(x) is an inverse of the function f(x), then:

g( f(x)) = x

f( g(x)) = x

Let's assume that f(x) = m*x + b  has an inverse, and this inverse function is g(x).

Because f(x) is linear, g(x) is also linear, then:

g(x) = n*x + c

Let's find the values of A and B.

We know that:

f( g(x)) = x =  m*(n*x + c) + b

then

x = m*n*x + m*c + b

Then we must have:

m*n = 1

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From the first equation m*n = 1

We get:

n = 1/m

The slope of the inverse function is one over the slope of the original function.

Because m is on the denominator, m can not be equal to zero (because a division by zero is not defined)

Then the correct option is the option a, m ≠ 0.          

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