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
MissTica
3 years ago
7

An elementary school is offering 2 language classes: one in Spanish (S) and one in French (F). Given that P(S) = 50%, P(F) = 40%

, P(S ∪ F) = 70%, find the probability that a randomly selected student (a) is taking Spanish given that he or she is taking French; (b) is not taking French given that he or she is not taking Spanish. 2. A pair of fair dice is rolled until a sum of either 5 or 7 appears.
Mathematics
1 answer:
nikklg [1K]3 years ago
7 0

Answer:

(a) Probability that a randomly selected student is taking Spanish given that he or she is taking French = 0.5 .

(b) Probability that a randomly selected student is not taking French given that he or she is not taking Spanish = 0.6 .

Step-by-step explanation:

We are given that an elementary school is offering 2 language classes ;

 <em>Spanish Language is denoted by S and French language is denoted by F.</em>

Also we are given, P(S) = 0.5 {Probability of students taking Spanish language}

P(F) = 0.4 {Probability of students taking French language}

P(S\bigcup F) = 0.7 {Probability of students taking Spanish or French Language}

<em>We know that,  </em>P(A\bigcup B)<em>  = </em>P(A) + P(B) -<em> </em>P(A\bigcap B)<em />

So, P(S\bigcap F) = P(S) + P(F) - P(S\bigcup F) = 0.5 + 0.4 - 0.7 = 0.2

P(S\bigcap F) means Probability of students taking  both Spanish and French Language.

Also, P(S)' = 1 - P(S) = 1 - 0.5 = 0.5

         P(F)' = 1 - P(F) = 1 - 0.4 = 0.6

        P(S'\bigcap F') = 1 -  P(S\bigcup F) = 1 - 0.7 = 0.3

(a) Probability that a randomly selected student is taking Spanish given that he or she is taking French is given by P(S/F);

  P(S/F) = \frac{P(S\bigcap F)}{P(F)} = \frac{0.2}{0.4} = 0.5

(b) Probability that a randomly selected student is not taking French given that he or she is not taking Spanish is given by P(F'/S');

   P(F'/S') = \frac{P(S'\bigcap F')}{P(S')} = \frac{1- P(S\bigcup F)}{1-P(S)} = \frac{0.3}{0.5} = 0.6 .

Note: 2. A pair of fair dice is rolled until a sum of either 5 or 7 appears  ; This question is incomplete please provide with complete detail.

You might be interested in
Rectangle pqrs is shown with its diagonals, pr and qs. what type of triangle is △str?right triangleequilateral triangleisosceles
Rainbow [258]
Since you did not provide a diagram, I made one for easier reference. You are asking what kind of triangle is the one shaded in red. Since a rectangle has two sets of congruent sides, their diagonals are also equal. When two diagonals intersect each other, they make 4 congruent sides. Thus, the triangle is an isosceles triangle, since it has two equal sides ST and TR.

8 0
3 years ago
Read 2 more answers
Which graph correctly solves the equation below? 2x^2-3=-x^2
Lesechka [4]

Answer:

4x-3=-2x

Step-by-step explanation:

um sorry best i got cause i dont see a graph...

7 0
2 years ago
The following function describes the number of employees working at a company, In thousands, where trepresents the number of yea
NISA [10]

Consider the missing part of the question is "Select the correct statement.

A. The number of employees is increasing by 50% every year.

B. The number of employees is decreasing by 10% every year.

C. The number of employees is decreasing by 90% every year.

D. The number of employees is increasing by 90% every year."

Given:

The function is:

f(t)=1.5(0.90)^t

Where, f(t) is the number of employees working at a company, in thousands and t is the number of years since the company revised the benefits package.

To find:

The correct statement from the given options.

Solution:

The general exponential decay model is:

f(t)=a(1-r)^t         ...(i)

Where, a is the initial value, r is the rate of decay and t is the number of years.

We have,

f(t)=1.5(0.90)^t

It can be written as

f(t)=1.5(1-0.10)^t        ...(ii)

From (i) and (ii), we get

a=1.5,r=0.10

The initial value is 1.5 and the rate of decay is 0.10 or 10%. It means the number of employees is decreasing by 10% every year.

Therefore, the correct option is B.

5 0
3 years ago
Danielle sells
Xelga [282]
Hello! So a 9% commission is earned on the amount of beauty supplies sold. To find out the amount of commission earned, all you have to do is multiply $895 by 9%. 895 * 9% (0.09) is 80.55. $80.55 is earned in commission, Now, add 450 to that amount. 80.55 + 450 is 530.55. There. Danielle earned a total of $530.55 this week.
7 0
3 years ago
ANSWER AND EXPLAIN HOW U GOT IT=BRAINLIST FOR U:)<br> THX
Evgesh-ka [11]
The answers r online for that
4 0
2 years ago
Other questions:
  • In triangle ABC, angle A is equal to angle C, BA=x+20,CA=4x-30, and BC=3x+14. What is the length of BC?​
    15·1 answer
  • Help me please thank you so much
    15·1 answer
  • What is an equation of the line that passes through the point
    15·1 answer
  • 503497and 26475<br> The value of 7 in_ is- times the value of 7 in-
    9·2 answers
  • - 1 (multiplicity 3), 3 (multiplicity 4)
    9·1 answer
  • Marna is playing a game where you score -5 points each time you guess the correct answer. The goal is to get the lowest score. T
    14·2 answers
  • which of the following are valid probability distributions for a discrete random variable? check all that apply
    5·2 answers
  • 30 cm = mm <br><br><br> Pls help me!!!
    13·2 answers
  • What is the diameter of a hemisphere with a volume of 69292 in?, to the
    14·1 answer
  • when all the kids who tried out for soccer Word divided into teams of 15 players there were exactly 8 teams how many kids tried
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!