1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aleksandrvk [35]
2 years ago
9

A survey was conducted with 100 people. 20% said they liked Star Trek , 75% said they liked Star Wars, and 10% said they liked b

oth. If one person is chosen at random, find the probability they either liked both or neither movies.
Mathematics
1 answer:
Roman55 [17]2 years ago
4 0

Answer:

The probability is 1/4 or 25%

Step-by-step explanation:

Since 100% matches the 100 value, we can have the percentage as the number of people that actually likes a particular movie

This mean; 20 people liked star Trek, 75 people liked Star wars and 10 people liked both

Let the number of people that liked neither be x

Mathematically, we can have the sum as follows for the set notation;

100 = (75-10) + (20-10) + 10 + x

100 = 65 + 10 + 10 + x

100 = 85 + x

x = 100-85

x = 15

What this mean is that 15 persons liked neither

The probability of selecting a random that likes both movies is simply the number of people that liked both/total number of people on the survey

Mathematically, that will be 10/100 = 1/10

For the probability that likes neither, we have the number that liked neither as 15

So the probability of selecting someone from here is 15/100 = 3/20

Since we have or between both probabilities, we will need to add both

So, mathematically, we have it that;

3/20 + 1/10 = (3 + 2)/20 = 5/20 = 1/4 or simply 25%

You might be interested in
If f(x) = 5x + 4, which of the following is the inverse of (fx)?​
lys-0071 [83]

Answer:

see explanation

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 5x + 4 ( subtract 4 from both sides )

y - 4 = 5x ( divide both sides by 5 )

\frac{y-4}{5} = x

Change y back into terms of x

f^{-1} (x) = \frac{x-4}{5}

3 0
3 years ago
Un grupo de 4 amigos va al cine y las entradas les han costado 24$.¿cuanto pagaria en total un grupo de 7 amigos por sus entrada
vodka [1.7K]

hi

4 entries are  24   so one  entry is  24/4 = 6  

so 7 friends pay  6*7 = 42

5 0
3 years ago
Solve by using area model
Snowcat [4.5K]
Can you show us the problem? What area model?

4 0
3 years ago
HELP FASTTTTTTTTTTTTTTTTTTTTTTTTTT
Gala2k [10]

Answer:

8 feet below sea level

Step-by-step explanation:

because ur already below sea level

5 0
3 years ago
Read 2 more answers
Emma is making a recipe that needs 2 1/2 cups of sugar. Each
IrinaVladis [17]

The given partial fraction divided by the fraction of sugar in a scoop is

equal to multiplying the partial fraction by the reciprocal of the fraction.

  • The number of scoops of sugar needed is <u>10 scoops</u>.

Reasons:

The amount of sugar the recipe Emma is making needs = 2 1/2 cups

Amount of sugar in each scoop of sugar = 1/4 cups

Required:

The amount of scoops Emma needs to add for the entire recipe

Solution:

The amount of sugar needed = 2 1/2 cups

Amount of sugar per scoop = 1/4 cups/scoop

Therefore;

  • \displaystyle Number \ of \ scoops = \mathbf{\frac{Cups \ of \ sugar \ needed}{Cups \ of \ of \ sugar \ per \ scoop}}

Which gives;

  • \displaystyle Number \ of \ scoops \ needed  = \mathbf{\frac{2 \frac{1}{2}  \ cups \ of \ sugar }{\frac{1}{4} \  cups \ of \ sugar \ per \ scoop}}

\displaystyle  2 \frac{1}{2} = \frac{5}{2}

\displaystyle \frac{ \frac{5}{2}}{\frac{1}{4} } =  \mathbf{ \frac{5}{2} \times \frac{4}{1} = \frac{20}{2 }} = 10

Therefore;

\displaystyle Number \ of \ scoops \ needed  = \mathbf{\frac{2 \frac{1}{2}  \ cups \ of \ sugar }{\frac{1}{4} \  cups \ of \ sugar \ per \ scoop}} = 10 \, scoops

The number of scoops she needs for the entire recipe is <u>10 scoops</u>

Learn more about division by fractions here:

brainly.com/question/20591763

3 0
2 years ago
Other questions:
  • In the figure, ΔABC ∼ ΔDEF. Solve for x. (5 points)
    5·1 answer
  • What is the solution of -3=r-4/6
    9·1 answer
  • Classify the triangle based on the side lengths 10, 12 and 23.
    9·1 answer
  • D = {x|x is a whole number} E = {x|x is a perfect square between 1 and 9} F = {x|x is an even number greater than or equal to 2
    5·1 answer
  • Faith scored -1 in golf while Joy scored a -15. Which golfer scored further under
    12·1 answer
  • Greata had a price of cloth that is 9 yards long. She cuts it into prices that are each 1/3 yard long. How many prices of cloth
    12·1 answer
  • PLEASE HELP ME I WILL GIVE BRAINLIEST AND EXTRA POINTS TO WHO EVER ANSWERS FIRST
    7·2 answers
  • Element X decays radioactively with a half life of 9 minutes. If there are 760 grams of Element X, how long, to the nearest tent
    6·2 answers
  • Marlene has 5 pink ribbons, 1 blue ribbon, and 4 purple ribbons in a box. She will randomly choose 1 bow from the box.
    11·1 answer
  • A rectangular piece of cardboard is 16y cm long and 23 cm wide. Four square pieces of cardboard whose sides are 6y cm each are c
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!