NEED HELP ASAPPP PLEASEEE
The following two-way table shows the distribution of high school students categorized by their grade level and book-type preference.
A 4-column table with 3 rows. Column 1 has entries junior, sophomore, total. Column 2 is labeled fiction with entries 20, 26, 46. Column 3 is labeled nonfiction with entries 22, 13, 35. Column 4 is labeled Total with entries 42, 39, 81. The columns are titled book-type preference and the rows are titled grade level.
Suppose a high school student is selected at random. Let event A = junior and event B = fiction. Are events A and B independent?
Yes, P(A) = P(A|B).
Yes, P(A) = P(B|A).
No, P(A) ≠ P(A|B).
No, P(A) ≠ P(B|A).
Answers
Answer:
No, P(A) ≠ P(A|B)
Step-by-step explanation:
Condition must be held in order to two events be independent of each other:
[tex]P(A B) = P(A)P(B) => P(A) = P(A|B)\\Or\\P(B) = P(B|A)[/tex]
[tex]P(A)=\frac{42}{81}\\P(B) =\frac{46}{81}\\P(A B) = \frac{20}{81}\\P(A|B) =\frac{P(A B)}{P(B)} = \frac{20}{46} \neq P(A) => P(AB) = \frac{20}{81} \neq P(A)P(B) = \frac{23}{81}\\\\P(B|A)=\frac{P(AB)}{P(A)}=\frac{20}{42} \neq P(B) => P(AB) = \frac{20}{81} \neq P(A)P(B)= \frac{23}{81}\\\\[/tex]
Note: (AB) means (A ∩ B)
The probability of P(A) is not equal to the probability of P(A|B) option third No, P(A) ≠ P(A|B) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
Two events must be independent of each other, condition must be maintained:
P(A and B) = P(A) × P(B)
The probability:
P(A) = 42/81
P(B) = 46/81
P(AB) = 20/81
P(A|B) = P(AB)/P(B) = 20/46 ≠ P(A) = 20/81 ≠ P(A)P(B) = 23/81
P(B|A) = P(AB)/P(A) = 20/42 ≠ P(B) = 20/81 ≠ P(A)P(B) = 23/81
Thus, the probability of P(A) is not equal to the probability of P(A|B) option third No, P(A) ≠ P(A|B) is correct.
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Related Questions
A line with a slope of 10 passes through the points (7,4) and (6,p). What is the value of p?
p=
Answers
Answer:
p = -6
Step-by-step explanation:
10 = (p - 4)
6 - 7
-10 = p - 4
p = -6
 Can someone please help me with these probability questions? Image attached.
Beads in the Package
Blue: 5
Brown: 4
Green: 3
Orange: 5
Red: 4
Yellow: 4
Answers
Answer:
1)Is it a 0.7 percent chance that green is not going to choosed
2)25
Step-by-step explanation:
1)Probability of A NOT occuring: P(A') 0.7
Probability of B NOT occuring: P(B') 0.5
Probability of A and B both occuring: P(A∩B) 0.15
Probability that A or B or both occur: P(A∪B) 0.65
Probability that A or B occurs but NOT both: P(AΔB) 0.5
Probability of neither A nor B occuring: P((A∪B)') 0.35
Probability of A occuring but NOT B: 0.15
Probability of B occuring but NOT A: 0.35
2) 5+4+3+5+4+4=25
375/25= 15/6= 2.5 red
Help me i don’t remember how to do this
Answers
Help pls 6th grade math i will give brainliest
Answers
Answer:
5
Hope this helps
Answer:
5???
Step-by-step explanation:
Which of the following is a solution to the system of equations? y= 3x+24
y=10-0.5x
Answers
Answer:
x = -4
y = 12
I hope it helps you
Please help me this is really confusing here's the question
Answers
Answer:
I'm pretty sure its D. 11.5
Laura is training to run a race. She keeps track of the number of miles she runs. She has been training for 10 weeks, and she has run a total of 120 miles. At what rate has she been running, in miles per week?
A.
10 miles per week
B.
9 miles per week
C.
12 miles per week
D.
14 miles per week
Answers
Answer:
it's answer is C 12 miles per week
Answer:
I think no C
if wrong correct me plsssssss
I will always help you understanding your assingments
enjoy your day #Captainpower:)
I'm feeling lazy today so can someone answer this simple question for me please, and Thank you
Also has anyone seen itssarahdye666 on one of your questions i just wanted to thank he or she for their support.
Answers
Answer:
the answer is 6(7+4)
Step-by-step explanation:
6×7=42
6×4=24
The difference of two numbers is 7, and their sum is 49. Find the two numbers.
Answers
Answer:
x= 28 and y=21
Step-by-step explanation:
x - y = 7
x + y = 49
add the two equation and the y's will cancel out
2x = 56 divide by 2
x = 28
replace 28 for x in the first equation and solve for y
28 - y = 7
y = 21
Three hundred six and seven hundredth in decimal form can be written as :
Answers
Answer:
306.007
Step-by-step explanation:
Answer:
306.07
Step-by-step explanation:
300+6+7*0.01
306+0.07
306.07
Robert is designing a rectangular window. Based on the amount of wood he has available to make a frame around the window, Robert wants the perimeter of the window to be 200 inches. Robert wants the base, b, and the height, h, of the window to be such that the window will have the largest area possible. He thinks that a square window will be his best option.
Answers
Answer:
yes.
Step-by-step explanation:
find 35% of 480 and show how you got it
Answers
Answer:
35% of 480 = 168
Step-by-step explanation:
35/100 * 480
= 168
mrs torres is mailing a package that weighs 6.25 pounds. the post office charges by the ounce to mail a package. how much does the package weigh in ounces?
1. 187 ounces
2. 192.2 ounces
3. 100 ounces
4. 200 ounces
PLEASE ANSWER QUICK!!! ( ONLY REPLY IF YOU KNOW THE ANSWER )
Answers
3times what to get -2
Answers
Answer: -0.6 recurring
Step-by-step explanation:
-2/3 = -0.6 recurring
Hope u get it write
What is the final elevation if
A butterfly starts at 20 m and changes -16 m?
What is the final elevation if
A diver starts at 5 m and changes -16 m?
?/1
What is the final elevation if
A whale starts at -9 m and changes 11 m?
?/1
What is the final elevation if
A fish starts at -9 meters and changes -11 meters?
Answers
Answer: Final elevation of butterfly = 4m
Final elevation for diver = -11m
Final elevation for whale= 2m
Final elevation for fish = -20m
Step-by-step explanation:
Final elevation= Initial poistion + Change.
A butterfly starts at 20 m and changes -16 m.
Final elevation = 20m +(-16m)
= 20-16 m [(-)(+)=(-)]
= 4m
A diver starts at 5 m and changes -16 m.
Final elevation = 5m + (-16) m
= 5m- 16 m [(-)(+)=(-)]
= -11 m
A whale starts at -9 m and changes 11 m.
Final elevation = (-9m)+11m
= 11m- 9m [-a+b=b-a]
= 2m
A fish starts at -9 meters and changes -11 meters
Final elevation = -9+(-11) m
= (-9-11) m [(-)(+)=(-)]
=-(9+11) m [-a-b=-(a+b)]
=-20m
Hence, Final elevation of butterfly = 4m
Final elevation for diver = -11m
Final elevation for whale= 2m
Final elevation for fish = -20m
3. What is the value of n in the equation
2.6 x 10-2 = (5.2 x 10) = (2 x 10)?
Answers
Answer:1.24
2.52
3.20
Step-by-step explanation:
Point D is the in center of triangle ABC. Write an expression for the length x in terms of the three side lengths AB, AC, BC.
Hint: Use areas of triangles...A=1/2bh
Answers
Answer:
[tex]x = \frac{2(A_T) }{(AB) + (AC) + (BC)} [/tex]
(-9 +4 - -6)
please help me:)
Answers
Answer:
the answer is 1
Step-by-step explanation:
Find an equation for the perpendicular bisector of the line segment whose endpoints
(5,-4) and (-9, -8).
are
Answers
Answer:
The equation for the perpendicular bisector of the line segment will be:
[tex]y=-\frac{7}{2}x-13[/tex]
Step-by-step explanation:
Given the endpoints of the line segments
(5,-4)(-9, -8)Determining the slope between (5,-4) and (-9, -8)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(5,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-9,\:-8\right)[/tex]
[tex]m=\frac{-8-\left(-4\right)}{-9-5}[/tex]
[tex]m=\frac{2}{7}[/tex]
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = 2/7
Thus, the slope of the the new perpendicular line = – 1/m = (-1)/(2/7)= -7/2
Next, determining the mid-point between (5,-4) and (-9, -8)
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(5,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-9,\:-8\right)[/tex]
[tex]=\left(\frac{-9+5}{2},\:\frac{-8-4}{2}\right)[/tex]
Refine
[tex]=\left(-2,\:-6\right)[/tex]
We know that the point-slope form of equation of line is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointsubstituting the slope of the perpendicular line -7/2 and the point (-2, -6)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-6\right)=-\frac{7}{2}\left(x-\left(-2\right)\right)[/tex]
[tex]y+6=-\frac{7}{2}\left(x+2\right)[/tex]
Subtract 6 from both sides
[tex]y+6-6=-\frac{7}{2}\left(x+2\right)-6[/tex]
[tex]y=-\frac{7}{2}x-13[/tex]
Therefore, the equation for the perpendicular bisector of the line segment will be:
[tex]y=-\frac{7}{2}x-13[/tex]
A school ordered 3 large boxes of board markers. After giving 15 markers to each of 3 teachers, there were 90 markers left. How many markers were originally in the box?
Answers
Step-by-step explanation:
Initially, the school had 3 boxes of board markers, and each box had X board markers, where X is the number we want to find.
Then the initial number of board markers is 3*X.
We know that after giving 15 markers to 3 teachers, we have other 90 markers left. This can be written as:
total markers = markers for the teachers + markers left
3*X = 15*3 + 90 = 45 + 90 = 135
now, we divide both sides by 3.
X = 135/3 = 45
From this, we know that in each box we have 45 markers
4. At Healthy Hair, the cost of a child's haircut is $4 and the cost of an adult haircut is $14. The sales from
the 42 haircuts given on Friday were $588. How
many adults and children had haircuts on Friday? The
answer is the solution to the following system.
4c + 14a = 588
c+a=42
Answers
Answer:
Step-by-step explanatio
it can be 7 children and 1 adult, or 3 adults.
i'd say it's, c = 28, while a = 14
There are 40 adults and 2 children had haircuts on Friday.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We are given the system of equation as;
x + y = 42
4x + 14y = 568
We need to solve, let 'x' = 42-y and substitute this expression for 'x' in the second equation to get:
4(42-y) + 14y = 568
168 - 4y + 14y = 568
168 + 10y = 568
10y = 400
y = 40
therefore, x = 2
There are 40 adults and 2 children had haircuts on Friday.
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Write an equation in slope-intercept form of the line that passes
through the points (-3, 2) and (0,2)
Need help fast please!!
Answers
M=y^2-y^1/x^2-x^1
M=2-2/0-(-3)
M=0/3
M=0
2=(0*-3)+b
2=0+b
B=0-2
B= -2
y=-2
I think this is the answer. BTW I’m a middle schooler.
simplify –4b + 8c + 12 – 8b – 2c + 6
Answers
Answer:
[tex]-12b + 6c + 18[/tex]
Step-by-step explanation:
The key to answering this question is combining like terms. Add or subtract the terms that have the same variable.
1) Let's start with finding all the terms that have a b and combine them - those terms would be -4b and -8b. Add their coefficients (the numbers in front of the variable).
[tex]-4b + 8c + 12 - 8b - 2c + 6 \\= -12b + 8c + 12 - 2c + 6 \\[/tex]
2) Next, let's do the same with all the terms that have a c. In this case, those terms would be 8c and -2c. So, add their coefficients too:
[tex]-12b + 8c + 12 - 2c + 6 \\\\= -12b + 6c + 12 + 6[/tex]
2) Finally, combine the constants (the terms with no variables). Those numbers would be 12 and 6.
[tex]-12b + 6c + 12 + 6\\= -12b + 6c + 18[/tex]
Thus, the answer is [tex]-12b + 6c + 18[/tex].
7/2÷7/8 ,............
Answers
Answer:
4
Step-by-step explanation:
[tex] \frac{7}{2} \times \frac{8}{7} [/tex]
Cancel the 7
[tex] \frac{1}{2} \times 8[/tex]
simplify
[tex] \frac{8}{2} [/tex]
simplify
[tex]4[/tex]
g(h(-1))
Given :
f (x) = 6x^3+ 12x^2– 2x + 8
g(x) = x + 2
h(x) = -3x^2+ 5
Answers
Answer:
jdnkwf
Step-by-step explanation:
Pythagorean theory m3/9=3
Answers
Answer:
Step-by-step explanation:
m3/9=3
We move all terms to the left:
m3/9-(3)=0
We multiply all the terms by the denominator
m3-3*9=0
We add all the numbers together, and all the variables
m^3-27=0
#learnwithbrainly
Helppppp :(
-12(x-7)= -133
Answers
Answer:
The number is 31
Step-by-step explanation:
Let the number be x
Subtract 12 from the number = x - 12
Then multiply the difference by -7 = (-7)*(x - 12)
(-7)(x - 12) = -133
-7x - 12*(-7) = -133
-7x + 84 = - 133
-7x = -133 - 84
-7x = -217
x = -217/-7
x = 31
Max plans to build two side-by-side identical rectangular pens for his pigs that
will enclose a total area of 216 square feet. What is the minimum length of
fencing he will need? What are the dimensions of the total enclosure?
Answers
Answer:
864
Step-by-step explanation:
216 + 216 = 432 +216= 448 +216= 864
The minimum length of fencing is 72ft and dimensions are x = 18ft, y=12ft
What is fencing?A fence, wall is a vertical construction used to barricade a space from views, air, or light or to keep out people and animals.
This excludes buildings or parts of buildings that are intended to support a roof, awning, or other horizontal structure, such a building's wall.
let x be the length of each side and y be the width of each side of fence
xy = 216
y = 216/x
total length of fencing = 2x+3y
P = 2x+3y
P = 2x + 3(216/x)
P = 2x + 648/x
On differentiating
P' = 2 - 648/(x²)
for P' = 0
2 = 648/(x²)
(x²) = 324
x = 18
y = 216/18
y = 12ft
Hence length of fencing is = 2x+3y
= 2*18 + 3(216/18)
= 2*18 + 3*12
= 72ft
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(2b-4c) divided by 2 equals?
Answers
Answer:
The answer is b - 2c
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
Hoped this helped!
Answer:
The answer to this question is b - 2c
I literally am so cofused
Answers
This means for every 4 gallons, there are 64 cups. If you divide 64 by 4 you get 16.
Now you know for every 1 gallon, there are 16 cups.
Multiply 16 by 3 so you can figure out how many cups there will be for every 3 gallons.
The answer is 48 cups. For every 3 gallons, there will be 48 cups.
Answer:
48 cups
Step-by-step explanation:
There are 16 cups in 1 gallon. I know this because i divided 64 by 4 to get the amount added. If you subtract 16 from 64, you get 48 cups.
