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3 years ago

How do I do this with explaination too

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

6 0

Answer:

Step-by-step explanation:

1. Using PEMDAS, you would start with all numbers inside the parentheses

2. Next inside the parentheses are exponents

3² = 3*3 = 9

2³ = 2*2*2 = 4*2 = 8

2² = 2*2 = 4

3. Go back inside the parenthese now that everything is multiplied out

$\frac{9 *(8+4) }{4}$ = 9* ( 12)/4 = 108/4

4. Simplify the fraction by dividing 108 by 4

108 ÷ 4 = 27

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

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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

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