A taste test asks people from Texas and California which pasta they prefer,
brand A or brand B. This table shows the results.
A person is randomly selected from those tested.
Are being from California and preferring brand B independent events? Why or why not?
Answers
Option (C) Yes, they are independent because P(California) is 0.55 and P(California | brand B) is 0.55 is the correct answer.
What is probability?
Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Total number of people in Texas = 275
Total number of people in California = 150
Total number of people in California and preferring brand B = 54
Probability of people in California,
P(California) = Number of people in California / Total number of people
⇒ [tex]\frac{150}{275}[/tex]
⇒ [tex]0.54545[/tex] ≈ [tex]0.55[/tex]
Probability of people in California and preferring brand B
P(California | brand B) = Number of people in California and preferred brand B / Number of people preferred brand B
⇒ [tex]\frac{54}{99}[/tex]
⇒ [tex]0.54545[/tex] ≈ [tex]0.55[/tex]
In the data provided, each event is not dependent on other events.
Thus they are independent events.
Hence we can conclude that option (C) Yes, they are independent because P(California) is 0.55 and P(California | brand B) is 0.55 is the correct answer.
Learn more about probability here
https://brainly.com/question/16465754
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Related Questions
The surface area of a cube is 54 square inches.
What is the volume of the cube?
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If -7d - 5 = 23, then d =
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Answer:
d=-4
Step-by-step explanation:
-7d - 5 = 23
-7d = 28
d = -4
Answer:-6d-3f+5
Step-by-step explanation:
Workers load 5 identical large crates and 3 identical small crates onto a freight elevator. The crates have a combined weight of 1375 pounds. Later
that day, the workers load 3 more identical large crates and 6 more identical small crates onto the freight elevator. These crates have a combined
weight of 1350 pounds.
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Answer: The total would be 40.53
Step-by-step explanation:
what is the difference between 2.23 seconds and 3.13 seconds?
Answers
Answer:
0.9
Step-by-step explanation:
3.13-2.23=0.9
Answer:
Do you mean subtraction?
Step-by-step explanation:
If so
− 0.9 is your answer
Also bts army?
Which Number sentence is true?
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Answer:
I took this a few days ago and if I remember correctly, it was B.
Answer:
it would be option B. I used a calculator, so I should be right.
help pls this is confusing me
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Answer:
The probability is 1/10.
Step-by-step explanation:
Since there are 10 shirts in total, and only 1 red shirt, the probability of choosing a red shirt is 1/10.
It would be INSANLEY FANTABULOUS if I could receive brainliest!!!!!
Shannon is dressing a mannequin for a store window to show off a new line of men's clothing. Shannon can choose from 2 different T-shirts and 8 styles of jeans. How many different ways can Shannon dress the mannequin?
ways
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Answer:
16
Step-by-step explanation:
I have to do 4 gallons 2 quarts of juice. Second one is 1 3/4 gallons more than the first one and how many are together.
Answers
Answer: [tex]\dfrac{43}{4}\ \text{Gallons}[/tex]
Step-by-step explanation:
Given
The first one has 4 gallons and 2 quarts of juice
The second one has 1 [tex]\frac{3}{4}[/tex] gallons more than the first
First has
[tex]\Rightarrow 4+\dfrac{2}{4}\\\\\Rightarrow \dfrac{9}{2}\ \text{Gallons}[/tex]
second has
[tex]\Rightarrow 1\dfrac{3}{4}+\dfrac{9}{2}\\\\\Rightarrow \dfrac{7}{4}+\dfrac{18}{4}\\\\\Rightarrow \dfrac{25}{4}\ \text{Gallons}[/tex]
together it is
[tex]\Rightarrow \dfrac{25}{4}+\dfrac{18}{4}\\\Rightarrow \dfrac{25+18}{4}\\\Rightarrow \dfrac{43}{4}\ \text{Gallons}[/tex]
Find the value of each expression. Show work. a) (4 + 3*2)= (10 -5) b) 3+ (6-2) x 32
Answers
Just add them to find ur anwser make sure to get these
Find x
Secant tangent angles
Helpppp
Answers
Answer:
x = 139
Step by Step Explanation:
Write the number in scientific notation.
98,000
X10^
Answers
Answer:
9.8x10^5 really hope this helps
Answer:
980,000,000,000,000
Step-by-step explanation:
In a study of simulated juror decision making, Braden-Maguire, Sigal, and Perrino (2005) investigated the type of verdict assigned by study participants after they read a 12-page summation of a case involving a battered woman who had shot and killed her husband. Of the 80 participants, 27 assigned a verdict of guilty, 49 a verdict of not guilty by reason of self-defense, and 4 a verdict of not guilty by reason of insanity. What type of chi-square test would the researchers use to determine if the distribution of verdicts differs from what would be expected by chance
Answers
Answer:
Independence chi-square test
Step-by-step explanation:
The Chi-Square Test for independence is a type of statistical hypothesis test that is used to determine the existence of an association or relationship between nominal or categorical variables
The chi-square is given by the following formula;
[tex]\chi^2 = \XXL\sum \dfrac{\left (O_i - E_i \right)^2}{E_i}[/tex]
The number of participants = 80
The number that assigned a verdict of guilty = 27
The number that assigned a verdict of not guilty by reason of self defense = 49
The number that assigned a verdict of not guilty by reason of insanity = 4
Independence Chi Square test
The table of values is presented as follows;
Expected Value = (Row sum * Column Sum)/(Grand Total)
Expected Value for Guilty = 27 × 80/80 = 27
Expected Value for Self Defense = 49 × 80/80 = 49
Expected value for Insanity = 4 × 80/80 = 4
[tex]\begin{array}{ccc}Category&Observed&Expected\\Guilty&27&27\\SelfDe&49&49\\Insanity&4&4\end{array}[/tex]
Donations of $375 in February to a homeless shelter are 250% of what they were in January. What were the donations to the shelter in January?
Answers
Answer:
$150
Step-by-step explanation:
$375 was donated to a homeless shelter in February
250% of this sum was donated in January
Hence the amount donated in January can be calculated as follows
375×100/250
= 37500 250
= 150
Hence the amount donated in January is $150
PLZ HELP!!! I got the 1 of the answers but I can't seem to figure out the other.
Answers
Answer:
It would be 11 since in the equation 11(x+3), you would need to multiply 11 * x along with 11 * 3 to get your answer.
Full Answer: 11x+11*3
Someone plz help me
Answers
Answer:
C - (8×10) + (9×1) + (4×1/100)
Step-by-step explanation:
89.04
4 is in the hundredths place after the decimal. So it would ve equivalent to 1/100 because the 0 is taking the place of 1/10
Hope it Helps!:)
Answer:
Hello again! Your answer is C! (Sorry this is an edit)
Step-by-step explanation:
(8 x 10) + (9 x 1) + (4 x 1/10)
im not exactly sure how to explain this, but I studied this in 3rd grade so I believe I’m correct... if you solve the question, you’ll get 89.04
i can try my best to explain below...
I’ll start with the first part of the equation.
(8 x 10) ... this equals 80
next is (9 x 1) ... this equals 9
then we have (4 x 1/100) ... this equals 4/100, because 4 of 1/100 would be 4/100, translated to decimals would equal 0.04
now we already simplified the equation: 80 + 9 + 0.04
finally, the solution. (Solving the problem)
80 + 9 = 89
89 + 0.04 = 89.04
im sorry if this isn’t a detailed enough explaination, but this is the best I could do. Best of wishes on your assignment & have a nice day! (Brainliest? Lol.)
What is the solution to this inequality? r - 1 > 2
Answers
Answer:
A.r>3
Step-by-step explanation:
r-1+1 >2+1 [adding '1'on both side]
we add 1 on both side to cancel the - 1 from L.H.S.
so, r > 3
HOPE THIS HELPS YOU!
Help ASAP please thanks
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Answer:
8!
Step-by-step explanation:
just do 1.12 ÷ 0.14!!
have a good day :)
Answer:
8 cats
Step-by-step explanation:
can someone help me with all these!im giving brainliest:)
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Step-by-step explanation:
1a.2.b.1/2 base×heightc.2 ×1/2 base×heightbase×heightb.
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jmryhnrfthyj4u5ikjhgtrfrgthyjunr
What is the first quartile of the data shown in the box plot?
0 10 20 30 40 50 60 70 80 90 100
First quartile
Answers
Answer:
The first quartile is the median of the data points to the left of the median. The third quartile is the median of the data points to the right of the median. Step 4: Complete the five-number summary by finding the min and the max. The min is the smallest data point, which is 25.
2
Type the correct answer in the box.
212 units
2 units
2 units
8 units
2 units
2 units
2 units
6 units
The area of the figure is
square units.
Reset
Next
Answers
Answer:
212×2×2×8×2×2×2×6= 325636
I hope the answer is correct. I hope I will get 5points
Answer:
2 units i hope this helps you
What is the volume of the square pyramid? 11cm and 11cm
Answers
Answer:
1331 feet3
Step-by-step explanation:
Answer:
V = (1/3)(121 in^2)(11 in) = 443.7 in^3
Step-by-step explanation:
If the side length of the square base is 11 cm, then the area of that base is (11 cm)^2, or 121 cm^2. If the height of the pyramid is 11 cm (as you seem to indicate), then the volume of the squre pyramid is
V = (1/3)(121 in^2)(11 in) = 443.7 in^3
State if the two triangles are congruent. If they are, state how you know.
Answers
Answer: yes, aas
Step-by-step explanation:
They have the two angles, and then the side after the angles
*LOOK AT PICTURE FOR QUESTION*
F) 20.5 in
G) 14.74 in
H) 9.3 in
J) 10.1 in
Answers
What is the volume of the circle?
Answers
Answer:
Multiply the circle's area by the cylinder's length to obtain the volume. If the length is, for instance, 10 inches, then compute as follows: 113 x 10 = 1,130 cubic inches.
What is the value of three to the fourth power?
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PLZ SOMEONE HELP I NEED IT DONE
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The cost for a pool membership for a family at a community pool is $350 plus $125 per month. A family paid a total of $1,350. How many
months did the family use the pool?
a-11
b-14
c-8
d-12
Answers
Answer:
The family used the pool for 8 months
Step-by-step explanation:
We know that the family paid a total amount of $1,350 dollars. We also know that they had to pay $350 dollars for joining the community pool. Lastly, they paid a monthly fee of $125 dollars. The value "x" represents months.
With that being said, here's our equation.
350 + 125x = 1,350
Subtract 350 from both sides and you should get this:
125x=1,000
Finally, divide 125 from both sides to get the x value.
x=8
:)
A map is drawn with a scale of 1/2 inch equal to 5 actual miles.if the map distance between two cities is 8 inch's,what is the real distance between these cities in miles
Answers
Answer:
The real distance would be 16
Step-by-step explanation:
If the scale is 1/2, that means each distance on the map is half of what the real distance is. So 8 x 2 =16.
Answer:
80 miles.
Step-by-step explanation:
Since 1/2 an inch is 5 miles, that would mean one inch is 10 miles. Now that we know one inch is 10 miles, we can multiply 10 x 8 to get 80. Therefore, the real distance between the two citied is 80 miles.
Hope it helped and have a great day :)
4. Solve the following inequality for b, showing all of your work carefully and completely
4b - 12 - 55 < 9b +8
Answers
Answer:
b > -15
Step-by-step explanation:
4b - 12 - 55 < 9b + 8
Combine terms.
4b - 67 < 9b + 8
Subtract 9b from both sides.
-5b - 67 < 8
Add 67 to both sides.
-5b < 75
Divide both sides by -5. When dividing by a negative, flip the sign.
b > -15.