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
Genrish500 [490]
3 years ago
14

The results of a survey in the cafeteria show that 20% of students like ketchup, 50% like mustard, and 15% like both ketchup and

mustard. What is the probability that a student likes neither ketchup nor mustard? A) 25% B) 45% C) 75% D) 85%
Mathematics
1 answer:
____ [38]3 years ago
5 0

Answer:

B) 45%

<em>The probability that neither K nor M occurs = P(K⁻∩M⁻) = 0.45 = 45%</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<em>Given data the results of a survey in the cafeteria show that 20% of students like ketchup.</em>

<em>Let "K" be the event of students like ketchup</em>

<em>P(K) = 20% = 0.20</em>

<em>Given data the results of a survey in the cafeteria show that  50% of students like mustard.</em>

<em>Let 'M' be the event of students like mustard</em>

<em>P(M) = 50% =0.50</em>

<em>Let 15% like both ketchup and mustard</em>

<em>P(K∩M) = 0.15</em>

<em>The probability that neither K nor M occurs = P(K⁻∩M⁻)</em>

<em>= P(S - (K∪M) </em>

<em>= P(S) - P(K∪M)</em>

<em>Total sample space P(S) =1</em>

<em>= 1 -  (P(K) +P(M) -P(K∩M)</em>

<em>= 1 - (0.20 + 0.50 - 0.15)</em>

<em>= 1 - 0.55 = 0.45</em>

<u><em>Final answer</em></u><em>:-</em>

<em>The probability that neither K nor M occurs = P(K⁻∩M⁻) = 0.45</em>

<em></em>

<em></em>

You might be interested in
Trignometry help what's the answer?
butalik [34]
You have the 175 on the wrong line, the problem says 175 feet from the base, this is the bottom of the tree.

 See attached picture for solution:

7 0
3 years ago
Find the area of a circle, in terms of pi, if the radius is 20 ft.
arlik [135]
Area of circle= π·r² so, π·20²= π·400≡ 1256.637061
8 0
3 years ago
Which option best represents the Subtraction Property of Equality?
Nady [450]

Answer:

If a = b, then a - c = b - c

hope it helps

8 0
2 years ago
Read 2 more answers
A recipe calls for 18 fluid ounces of milk. If Angelica has 2 pints of milk in her refrigerator, does she have enough for the re
natali 33 [55]

Answer:

yes

Step-by-step explanation:

yes

8 0
3 years ago
Read 2 more answers
1 15/100 +1/50 +1.175
kifflom [539]
Convert all into a fraction and you will get 115/100+1/50+47/40
So your answer is 469/200 or 2.345 as a decimal
4 0
3 years ago
Read 2 more answers
Other questions:
  • Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting
    14·1 answer
  • Suppose there is a game with two players, player 1 and player 2. each player has two 10) strategies, player 1 can play either "u
    6·1 answer
  • What are angles a,b,c,d ?
    15·1 answer
  • the values of a set can be represented by the expression x, 2x, 4x, and 5x. Write the data set for x=3 and find the mean
    15·1 answer
  • Morgan's favorite spaghetti sauce is available in two sizes:pints and quarts. pint 16 (oz) price 3.89 quart 32 5.98 what is the
    9·1 answer
  • Please help me find the solution!!!!
    10·1 answer
  • Multiple choice<br> thanks
    11·2 answers
  • NEED ANSWER ASAP PLEASE TYSM
    10·1 answer
  • The value of a house is expected to increase by 5% per year over the next several years. The current value of the house is $175,
    15·1 answer
  • Combining Like Term
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!