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lilavasa [31]
3 years ago
7

A school did a survey among 100 students to find their sports preferences. The students were asked about their preferences for s

occer or volleyball. Out of the total 80 people who liked soccer, 30 also liked volleyball. There were 45 people who liked volleyball. Part A: Summarize the data by writing the values that the letters A to I in the table below represent. (5 points) Like soccer Do not like soccer Total Like volleyball A D G Do not like volleyball B E H Total C F I Part B: What percentage of the survey respondents did not like either soccer or volleyball? (3 points) Part C: Do the survey results reveal a greater dislike for soccer or volleyball? Justify your answer. (2 points)

Mathematics
1 answer:
marishachu [46]3 years ago
8 0
A) Here's your table as far as I can determine. Start by filling in the given numbers. The rest is simple addition and subtraction.

B) 5/100 = 5% of respondents don't like either volleyball or soccer.

C) 20% dislike soccer; 55% dislike volleyball. It seems that there is a greater dislike for volleyball.

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If f(x)=3x+2,find f(f^-1(14)).
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Answer:  14

<u>Step-by-step explanation:</u>

f(x) = 3x + 2

To find f⁻¹, swap the x's and y's and solve for y --> Note: f(x) is y

x = 3y + 2

x - 2 = 3y

\dfrac{x-2}{3}=y

\implies f^{-1}(x)=\dfrac{x-2}{3}

\implies f^{-1}(14)=\dfrac{14-2}{3}

\implies f^{-1}(14)=\dfrac{12}{3}

\implies f^{-1}(14)=4

f(f⁻¹(14)) = f(4)

              f(4) = 3(4) + 2

                     = 12 + 2

                     = 14

NOTE: the simplified version is .... f and f⁻¹ cancel out, leaving you with 14

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Write the equation of the line that passes. Throught the point (-2,1)and (0,8)put your aswer in fully reduce point slope form un
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Answer:

Step-by-step explanation:

first, we need to find the slope

slope = (y2 - y1) / (x2 - x1)

(-2,1)...x1 = -2 and y1 = 1

(0,8)...x2 = 0 and y2 = 8

now sub

slope = (8 - 1) / (0- (-2) = 7/(0 + 2) = 7/2

point slope form : y - y1 = m(x - x1)

using point (-2,1)....x1 = -2 and y1 = 1

slope(m) = 7/2

now sub

y - 1 = 7/2(x - (-2) =

y - 1 = 7/2(x + 2) <==== here is one answer

y - y1 = m(x - x1)

using point (0,8)...x1 = 0 and y1 = 8

slope(m) = 7/2

now sub

y - 8 = 7/2(x - 0) <===== another possible answer

6 0
3 years ago
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Sladkaya [172]

Answer:

The null hypothesis is H_0: \mu = 2.5.

The alternative hypothesis is H_1: \mu > 2.5

Step-by-step explanation:

Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years.

At the null hypothesis, we test if the mean is of 2.5 years, that is:

H_0: \mu = 2.5

A study was then done to see if the mean time has increased in the new century.

At the alternative hypothesis, we test if the mean has increased, that is, if it is above 2.5 years. So

H_1: \mu > 2.5

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