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]
3 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]3 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]3 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
Select the correct answer.
Katena32 [7]

Answer:

I think No B

if wrong correct me pls

have a great day

3 0
3 years ago
N.<br> Solve the expression.<br> Use PEMDAS<br> [2.1+(9.2 x 3.3)] x 0.8=<br> -
densk [106]

Answer:

  25.968

Step-by-step explanation:

The Google calculator will reliably use PEMDAS to evaluate an expression.

 = (2.1 +30.36)×0.8

 = 32.46×0.8

 = 25.968

_____

If entering this expression into your calculator gives a different result, get a better calculator.

6 0
3 years ago
Point B is a point of tangency. Find the radius r of OC.<br> А 9<br> B<br> r<br> n
insens350 [35]

Answer:

Radius, r, is 3.75

Step-by-step explanation:

From the given diagram,

AB = 9

AC = 6 + r

BC = r

Thus applying the Pythagoras theorem, we have;

/AC/^{2} = /AB/^{2} + /BC/^{2}

(6 + r)^{2} = 9^{2} + r^{2}

36 + 12r + r^{2} = 81 + r^{2}

collecting like terms,

12r = 81 - 36

12r = 45

r = \frac{25}{12}

   = 3.75

r = 3.75

The radius is 3.75.

3 0
2 years ago
What's the answer ? To this problem
Nataliya [291]
The answer is A. You can solve this by plugging the X values from the table into the equation and seeing if you end up with the right Y value.
3 0
3 years ago
Read 2 more answers
What statement is conclusive?
WINSTONCH [101]
What statement is conclusive
A: if a b oddthan a b is odd
4 0
3 years ago
Read 2 more answers
Other questions:
  • Rachel bought a soft drink for three dollars and six candy bars. She spent a total of $21. How much did each candy bar cost?
    12·1 answer
  • Tina practiced piano for 15 hours last month and 45 hours this month A. Use multiplication to write a statement comparing the ho
    9·1 answer
  • For every hour that passes, the temperature drops by 6. What is the temperature change after 4 hours
    15·2 answers
  • -7 x (-9) = <br> Multiplying Negative Numbers.
    13·1 answer
  • EMERGENCY!<br><br> How many cubes with side lengths of 1/4 cm does it take to fill the prism?
    11·1 answer
  • What is the opposite of |-6|
    8·2 answers
  • Write the word sentence as an inequality.
    6·1 answer
  • 1. A stereo speaker in the shape of a triangular pyramid has a height of 6 inches. The area of the base of the speaker is 11 squ
    10·1 answer
  • Solve for the System Of equations.<br> y-2x=1 &amp; x+2=3y-17
    13·1 answer
  • URGENT!! YOU WILL GET BRAINLIEST!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!