Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

name 1. fill in the totals across the bottom of the table. 2. what perc…

Question

name

  1. fill in the totals across the bottom of the table.
  2. what percentage of the 25 - 49 years old audience chose horror as their favorite type of movie?
  3. what is the most common type of movie choice in the 50+ age group?
  4. which of these conclusions are supported by the table?

a. the majority of the 18 - 25 year olds chose horror.
b. among those who chose action, the majority were in the youngest age group.
c. among those who chose comedy, the majority were in the oldest group.
d. the majority of 18 - 25 year olds did not choose comedy.
e. the majority of all age groups chose action.

  1. out of all respondents, the percentage that were from the 18 - 25 age group who chose horror was?

Explanation:

Step1: Calculate Action total

Add the values in the Action column: \(238 + 350+320=908\)

Step2: Calculate Comedy total

Add the values in the Comedy column: \(450 + 472+490 = 1412\)

Step3: Calculate Horror total

Add the values in the Horror column: \(312+178 + 190=680\)

Step4: Calculate Grand total

Add the totals of Action, Comedy, Horror: \(908+1412 + 680=3000\)

Step1: Percentage formula

The formula for percentage is \(\text{Percentage}=\frac{\text{Part}}{\text{Whole}}\times100\). For the 25 - 49 age group choosing Horror, the part is \(178\) and the whole is \(1000\).

Step2: Calculate the percentage

\(\text{Percentage}=\frac{178}{1000}\times100 = 17.8\%\)

Step1: Compare values in 50+ age group

In the 50+ age group, the values are: Action \(320\), Comedy \(490\), Horror \(190\). Since \(490>320>190\)

a. Check 18 - 25 age group

In 18 - 25 age group: Action \(238\), Comedy \(450\), Horror \(312\). \(450>312\), so a is false.

b. Check Action viewers

Action totals: \(238\) (18 - 25), \(350\) (25 - 49), \(320\) (50+). \(350>320>238\), so b is false.

c. Check Comedy viewers

Comedy totals: \(450\) (18 - 25), \(472\) (25 - 49), \(490\) (50+). \(490\) is the largest, so c is true.

d. Check 18 - 25 Comedy

In 18 - 25, total is \(1000\), Comedy is \(450\). \(1000 - 450=550\) (not Comedy). \(550>450\), so d is true.

e. Check action in age groups

In each age - group, action is not the majority (e.g., 18 - 25: Comedy \(450>238\) (Action)), so e is false.

Answer:

Action: \(908\), Comedy: \(1412\), Horror: \(680\), Total: \(3000\)