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
statuscvo [17]
2 years ago
6

a taste test asks people from Texas and California which pasta they prefer, brand A or brand B. this table shows the results

Mathematics
2 answers:
ELEN [110]2 years ago
4 0

Answer:

D.

Step-by-step explanation:

Two events A and B are independent when

P(A|B)=P(A),

where P(A|B) is the probability that event A occurs given that event B has occured.

A = randomly selected person is from California

B = randomly selected person preferred brand A

A|B =  being a person from California and preferring brand A.

Hence,

P(A)=\dfrac{150}{275}=\dfrac{6}{11}\approx 0.55\\ \\P(B)=\dfrac{176}{275}=\dfrac{16}{25}=0.64\\ \\P(A|B)=\dfrac{96}{176}=\dfrac{6}{11}\approx 0.55

Since  P(A)=P(A|B), events are independent.

kondaur [170]2 years ago
3 0

Answer: Option D

Step-by-step explanation:

First we assign names to events:

Event C: The selected people are from California

Event A: The selected person prefers the A mark

Now notice in the table that the total number of people is: 275.

Then, the number of people who prefer the A mark is: 176

The number of people who are from California is: 150

The number of people in California who prefer the A brand is: 96

Then we have that:

P(C)=\frac{150}{275}=\frac{6}{11}=0.55

P(A)=\frac{176}{275}=\frac{16}{25}

P (C\ and\ A) = \frac{96}{275}=0.3491

Then:

P(C|A)=\frac{P(C\ and\ A)}{P(A)}\\\\P(C|A)=\frac{\frac{96}{275}}{\frac{16}{25}}=\frac{6}{11}=0.55

By definition two events C and A are independent if and only if:

P (C\ and\ A) = P (A)*P (C)

Then, if A and C are independent events, it must be fulfilled that:

P(C|A)=\frac{P(A)*P(C)}{P(A)}\\\\P(C|A)=P(C)

Note that P (C) = 0.55 and P (C | A) = 0.55

So:

P (C | A) = P (C)

Therefore the events are independent and  P (C) =P (C | A) = 0.55

You might be interested in
Identify the variation as a direct, inverse, joint, or combined.<br> xy/z=c
Korvikt [17]

The given equation is a combined variation.

We have been given an equation is

\frac{xy}{z}

This is an equation in which we have three variables and one constant.

This can not be the case of direct or inverse variation because in direct or inverse variation we have only two variables. Whereas, here we have three variables.

So, Direct and inverse options are discarded.

So, either It can be joint or combined

In joint variation both the variables are directly proportional

Hence, given equation is not joint because if we rewrite the equation we will get y = \frac{cz}{x} both the variables are not directly proportional.

In combined, one variable is directly proportional and the other one is inversely proportional.

From y = \frac{cz}{x}  we can see that z is directly proportional and x is inversely proportional.

Hence the answer is, the given equation is combined variation.

To learn more about variations click here brainly.com/question/2375770

#SPJ9

3 0
1 year ago
A.) If log(2x + 3) -log(x - 1) = 3, then the equation in exponential form is 10^3= (2x + 3)(x - 1).
Tomtit [17]

Step-by-step explanation:

One of the logarithm rules states the following:

log{a} - log{b} = log{\frac{a}{b}}

For this problem, that means the following:

log{2x + 3} - log{x - 1} = log{\frac{2x + 3}{x - 1}}

So now we have the following:

log{\frac{2x + 3}{x - 1}} = 3

Rolling the log, we get the following:

10^{3} = \frac{2x + 3}{x - 1}

5 0
3 years ago
Rupali has a piece of string that is 5/8 hard long. She wants to cut the string into 4 equal pieces. How long should each piece
AlexFokin [52]
The answer would be 1/7 in fraction form , and 0.142857 in decimal form. hope this helps!
4 0
3 years ago
How to understand piecewise functions
Nataly [62]
Each piece is defined over some (limited) domain. When you are evaluating or graphing a piecewise function, you only evaluate or graph the function whose domain includes the variable value of interest.
6 0
3 years ago
9 is a factor of which number? <br> 12<br> 18<br> 23<br> 28
Angelina_Jolie [31]

Answer:

The answer is 18.

Step-by-step explanation:

9x2=18

4 0
3 years ago
Other questions:
  • 12-2x^2/-5x where x=-4
    5·1 answer
  • Find the missing number: 40, 61, 85, ?, 142
    15·2 answers
  • How to use the proper formula
    13·2 answers
  • Bryce has 24 baseball trophies. Matt has 3/4 as many trophies as Bryce. How many trophies does Matt have?
    12·2 answers
  • What is the mean of the following data values?
    9·1 answer
  • I need to understand proofs
    11·1 answer
  • Which is bigger 1/2 or 11/12
    5·1 answer
  • What is the equation of the line that is parallel to the given line and passes
    8·1 answer
  • Sam is rowing a boat away from a dock. The graph shows the relationship
    8·1 answer
  • 4+5(p-1) =34 solve it fast <br>​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!