The following equation is a linear equation that has a slope of 3 and a y-intercept of positive 2:

A whatjapanthinks.com survey asked residents of Japan to name their favorite pizza topping. The possible responses included the

grin007 [14]

Answer:

See Explanation

Step-by-step explanation:

Solving (a):

First, we categorize each data (to get their frequencies):

PI PI PI PI PI PI PI PI PI ---> Frequency: 9

S S S S S S S S---> Frequency: 8

V V V V V V V V V V V V V ---> Frequency: 13

PO PO PO---> Frequency: 3

B ---> Frequency: 1

C C ---> Frequency: 2

Total = 36.

The frequency table is as follows:

$\begin{array}{cc}{Pizza\ Topping} & {Frequency} & {Beacon\ or\ Ham} & {9} & {Seafood} & {8} \ \\ {Vegetable\ and Fruit} & {13} & {Poultry} & {3} & {Beef} & {1} & {Cheese} & {2}\ \end{array}$

Solving (b): The relative frequency and percentage.

Relative frequency is calculated by dividing each frequency by the total frequency.

So, we have:

${Beacon\ or\ Ham} = \frac{9}{36} =0.250$

$Seafood = \frac{8}{36} =0.222$

$Fruits\ and\ Vegetable = \frac{13}{36}=0.361$

$Poultry = \frac{3}{36}=0.083$

$Beef = \frac{1}{36}=0.028$

$Cheese = \frac{2}{36}=0.056$

The percentage is calculated by multiplying the frequency by 100%.

So, we have:

$Bacon\ or\ Ham = 0.250 * 100\% = 25.0\%$

$Seafood = 0.222 * 100\% = 22.2\%$

$Fruits\ and\ Vegetable= 0.361 * 100\% = 36.1\%$

$Poultry = 0.083 * 100\% = 8.3\%$

$Beef = 0.028 * 100\% = 2.8\%$

$Cheese = 0.056 * 100\% = 5.6\%$

Solving (c): Percentage that mentioned vegetables and fruits, poultry, or cheese?.

This is calculated as:

$\%Percent = Vegetable\ and\ fruits + Poultry + Cheese$

$\%Percent = 36.1\% + 8.3\% + 5.6\%$

$\%Percent = 50\%$

(d) See attachment for bar graph

5 0

3 years ago

Given n objects arranged in a row, a subset of these objects is called unfriendly if no two of its elements are consecutive. Sho

Vesna [10]

Complete question is;

Given n objects are arranged in a row. A subset of these objects is called unfriendly, if no two of its elements are consecutive. Show that the number of unfriendly subsets of a k-element set is ( n−k+1 )

( k )

Answer:

I've been able to prove that the number of unfriendly subsets of a k-element set is;

( n−k+1 )

( k )

Step-by-step explanation:

I've attached the proof that the number of unfriendly subsets of a k-element set is;

( n−k+1 )

( k )

6 0

4 years ago

80% of Vanessa's final grade is based on the average score of her quizzes, which is 73.

Misha Larkins [42]

80% of quizzes + 20% of final = final grade

80% * 73 + 20% * x = 70

0.8 * 73 + 0.2x = 70

58.4 + 0.2x = 70

0.2x = 11.6

x = 58

8 0

4 years ago

Hey guys! I’m really stuck on this problem! I don’t know if I got it right or not! If I’m wrong, could you work it out and expla

Tems11 [23]

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7 0

3 years ago

Auto-Check Motors charged Mr. Jones $84.00 for an automotive part plus $68.00 per hour that a mechanic worked to install the par

avanturin [10]

You're going to want to take the total, which is $353.00 and subtract the initial cost, which is $84.00, the number now should be $269. Using that total divide it by $68.00, there you should find your answer of about 4 hours. The precise answer is 3.99588235. But you would round that to 4 hours.

5 0

4 years ago